[{"oa":1,"date_published":"2025-02-20T00:00:00Z","OA_type":"green","publication":"bioRxiv","oa_version":"Published Version","date_created":"2025-03-13T08:36:48Z","project":[{"_id":"261099A6-B435-11E9-9278-68D0E5697425","grant_number":"742985","name":"Tracing Evolution of Auxin Transport and Polarity in Plants","call_identifier":"H2020"},{"name":"Molecular mechanisms of endocytic cargo recognition in plants","call_identifier":"FWF","grant_number":"I03630","_id":"26538374-B435-11E9-9278-68D0E5697425"},{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"},{"_id":"26060676-B435-11E9-9278-68D0E5697425","grant_number":"ALTF 985-2016","name":"Cell surface receptor complexes for auxin signaling in plants"}],"_id":"19399","status":"public","date_updated":"2026-07-06T12:51:14Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_place":"repository","acknowledgement":"We thank W. Gray for providing material; N. Gnyliukh and E. Cervenova for help with manuscript preparation; J. Schmid for help with cloning. We thank Dolf Weijers, Mark Roosjen, and Andre Kuhn for discussions and support with phospho-proteomic analyses. We thank the Bioimaging and Life Science facilities at ISTA for their excellent service and assistance. The research leading to these results has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program grant agreement No 742985 and Austrian Science Fund (FWF): I3630-775 B25 to J.F; National Natural Science Foundation of China (Grant 32130010, 31422008), start-up funds from FAFU to T.X., Y.J. was funded by ERC no. 3363360-APPL under FP/2007-2013. L.R. was supported by FP7-PEOPLE-2011-COFUND ISTFELLOW program (IC1023FELL01) and the European Molecular Biology Organization (EMBO) long-term postdoctoral fellowship (ALTF 985- 2016). S.T. was supported by the National Natural Science Foundation of China (32321001).","day":"20","department":[{"_id":"JiFr"},{"_id":"XiFe"}],"ec_funded":1,"das_tickbox":"1","title":"ABP1/ABL3-TMK1 cell-surface auxin signaling directly targets PIN2-mediated auxin fluxes for root gravitropism","author":[{"last_name":"Rodriguez Solovey","first_name":"Lesia","orcid":"0000-0002-7244-7237","full_name":"Rodriguez Solovey, Lesia","id":"3922B506-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Fiedler, Lukas","first_name":"Lukas","last_name":"Fiedler","id":"7c417475-8972-11ed-ae7b-8b674ca26986"},{"id":"5c243f41-03f3-11ec-841c-96faf48a7ef9","full_name":"Zou, Minxia","first_name":"Minxia","last_name":"Zou"},{"full_name":"Giannini, Caterina","first_name":"Caterina","last_name":"Giannini","id":"e3fdddd5-f6e0-11ea-865d-ca99ee6367f4"},{"id":"2DB5D88C-D7B3-11E9-B8FD-7907E6697425","last_name":"Monzer","first_name":"Aline","full_name":"Monzer, Aline"},{"id":"60466724-5355-11ee-ae5a-fa55e8f99c3d","last_name":"Vladimirtsev","first_name":"Dmitrii","full_name":"Vladimirtsev, Dmitrii"},{"id":"6ac4636d-15b2-11ec-abd3-fb8df79972ae","full_name":"Randuch, Marek","last_name":"Randuch","first_name":"Marek"},{"first_name":"Yongfan","last_name":"Yu","full_name":"Yu, Yongfan"},{"full_name":"Gelová, Zuzana","orcid":"0000-0003-4783-1752","first_name":"Zuzana","last_name":"Gelová","id":"0AE74790-0E0B-11E9-ABC7-1ACFE5697425"},{"first_name":"Inge","last_name":"Verstraeten","orcid":"0000-0001-7241-2328","full_name":"Verstraeten, Inge","id":"362BF7FE-F248-11E8-B48F-1D18A9856A87"},{"id":"4800CC20-F248-11E8-B48F-1D18A9856A87","full_name":"Hajny, Jakub","orcid":"0000-0003-2140-7195","last_name":"Hajny","first_name":"Jakub"},{"full_name":"Chen, Meng","first_name":"Meng","last_name":"Chen"},{"full_name":"Tan, Shutang","orcid":"0000-0002-0471-8285","last_name":"Tan","first_name":"Shutang","id":"2DE75584-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-8295-2926","full_name":"Hörmayer, Lukas","first_name":"Lukas","last_name":"Hörmayer","id":"2EEE7A2A-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-5607-272X","full_name":"Li, Lanxin","last_name":"Li","first_name":"Lanxin","id":"367EF8FA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Marques-Bueno, Maria Mar","first_name":"Maria Mar","last_name":"Marques-Bueno"},{"first_name":"Zainab","last_name":"Quddoos","full_name":"Quddoos, Zainab","id":"32ff3c64-04a0-11f0-a50f-d0c45bfac466"},{"first_name":"Gergely","last_name":"Molnar","full_name":"Molnar, Gergely","id":"34F1AF46-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Xu, Tongda","first_name":"Tongda","last_name":"Xu"},{"full_name":"Kulich, Ivan","last_name":"Kulich","first_name":"Ivan","id":"57a1567c-8314-11eb-9063-c9ddc3451a54"},{"last_name":"Jaillais","first_name":"Yvon","full_name":"Jaillais, Yvon"},{"id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","last_name":"Friml","first_name":"Jiří"}],"main_file_link":[{"url":"https://doi.org/10.1101/2022.11.30.518503","open_access":"1"}],"citation":{"mla":"Rodriguez Solovey, Lesia, et al. “ABP1/ABL3-TMK1 Cell-Surface Auxin Signaling Directly Targets PIN2-Mediated Auxin Fluxes for Root Gravitropism.” <i>BioRxiv</i>, doi:<a href=\"https://doi.org/10.1101/2022.11.30.518503\">10.1101/2022.11.30.518503</a>.","apa":"Rodriguez Solovey, L., Fiedler, L., Zou, M., Giannini, C., Monzer, A., Vladimirtsev, D., … Friml, J. (n.d.). ABP1/ABL3-TMK1 cell-surface auxin signaling directly targets PIN2-mediated auxin fluxes for root gravitropism. <i>bioRxiv</i>. <a href=\"https://doi.org/10.1101/2022.11.30.518503\">https://doi.org/10.1101/2022.11.30.518503</a>","ama":"Rodriguez Solovey L, Fiedler L, Zou M, et al. ABP1/ABL3-TMK1 cell-surface auxin signaling directly targets PIN2-mediated auxin fluxes for root gravitropism. <i>bioRxiv</i>. doi:<a href=\"https://doi.org/10.1101/2022.11.30.518503\">10.1101/2022.11.30.518503</a>","short":"L. Rodriguez Solovey, L. Fiedler, M. Zou, C. Giannini, A. Monzer, D. Vladimirtsev, M. Randuch, Y. Yu, Z. Gelová, I. Verstraeten, J. Hajny, M. Chen, S. Tan, L. Hörmayer, L. Li, M.M. Marques-Bueno, Z. Quddoos, G. Molnar, T. Xu, I. Kulich, Y. Jaillais, J. Friml, BioRxiv (n.d.).","ieee":"L. Rodriguez Solovey <i>et al.</i>, “ABP1/ABL3-TMK1 cell-surface auxin signaling directly targets PIN2-mediated auxin fluxes for root gravitropism,” <i>bioRxiv</i>. .","ista":"Rodriguez Solovey L, Fiedler L, Zou M, Giannini C, Monzer A, Vladimirtsev D, Randuch M, Yu Y, Gelová Z, Verstraeten I, Hajny J, Chen M, Tan S, Hörmayer L, Li L, Marques-Bueno MM, Quddoos Z, Molnar G, Xu T, Kulich I, Jaillais Y, Friml J. ABP1/ABL3-TMK1 cell-surface auxin signaling directly targets PIN2-mediated auxin fluxes for root gravitropism. bioRxiv, <a href=\"https://doi.org/10.1101/2022.11.30.518503\">10.1101/2022.11.30.518503</a>.","chicago":"Rodriguez Solovey, Lesia, Lukas Fiedler, Minxia Zou, Caterina Giannini, Aline Monzer, Dmitrii Vladimirtsev, Marek Randuch, et al. “ABP1/ABL3-TMK1 Cell-Surface Auxin Signaling Directly Targets PIN2-Mediated Auxin Fluxes for Root Gravitropism.” <i>BioRxiv</i>, n.d. <a href=\"https://doi.org/10.1101/2022.11.30.518503\">https://doi.org/10.1101/2022.11.30.518503</a>."},"abstract":[{"text":"Phytohormone auxin and its directional transport mediate much of the remarkably plastic development of higher plants. Positive feedback between auxin signaling and transport is a key prerequisite for (i) self-organizing processes including vascular tissue formation and (ii) directional growth responses such as gravitropism. Here we identify a mechanism, by which auxin signaling directly targets PIN auxin transporters. Via the cell-surface ABP1-TMK1 receptor module, auxin rapidly induces phosphorylation and thus stabilization of PIN2. Following gravistimulation, initial auxin asymmetry activates autophosphorylation of the TMK1 kinase. This induces TMK1 interaction with and phosphorylation of PIN2, stabilizing PIN2 at the lower root side, thus reinforcing asymmetric auxin flow for root bending. Upstream of TMK1 in this regulation, ABP1 acts redundantly with the root-expressed ABP1-LIKE auxin receptor ABL3. Such positive feedback between cell-surface auxin signaling and PIN-mediated polar auxin transport is fundamental for robust root gravitropism and presumably also for other self-organizing developmental phenomena.","lang":"eng"}],"related_material":{"record":[{"status":"public","id":"20656","relation":"later_version"},{"status":"public","id":"19395","relation":"dissertation_contains"},{"status":"public","id":"20364","relation":"dissertation_contains"}]},"doi":"10.1101/2022.11.30.518503","publication_status":"draft","type":"preprint","corr_author":"1","language":[{"iso":"eng"}],"acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"ddc":["580"],"year":"2025","month":"02","article_processing_charge":"No"},{"file":[{"file_size":14278965,"date_created":"2025-09-24T14:46:34Z","checksum":"536ba1701453b0b2346be14c046b2911","relation":"main_file","file_name":"2025_Giannini_Caterina_Thesis...pdf","embargo":"2026-09-30","creator":"cgiannin","embargo_to":"open_access","file_id":"20390","access_level":"closed","content_type":"application/pdf","date_updated":"2025-09-30T14:31:29Z"},{"relation":"source_file","date_created":"2025-09-24T14:46:35Z","checksum":"192f55262f2da2ea0a59d9c23a1b8573","file_size":24499022,"creator":"cgiannin","file_name":"2025_Giannini_Caterina_Thesis...docx","file_id":"20391","date_updated":"2025-09-24T14:46:35Z","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","access_level":"closed"}],"oa_version":"Published Version","date_created":"2025-09-19T12:23:38Z","_id":"20364","date_published":"2025-09-19T00:00:00Z","publication_identifier":{"issn":["2663-337X"]},"OA_place":"publisher","degree_awarded":"PhD","acknowledgement":"Plant Facility,\r\nProtein Service Facility","department":[{"_id":"GradSch"},{"_id":"JiFr"},{"_id":"MaLo"}],"day":"19","alternative_title":["ISTA Thesis"],"title":"Nuclear and cell surface auxin signaling in A. thaliana developmental transitions","author":[{"last_name":"Giannini","first_name":"Caterina","full_name":"Giannini, Caterina","id":"e3fdddd5-f6e0-11ea-865d-ca99ee6367f4"}],"status":"public","date_updated":"2026-07-06T12:51:13Z","keyword":["Auxin Signaling","Plant Development"],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","has_accepted_license":"1","publication_status":"published","supervisor":[{"id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jiří","last_name":"Friml","full_name":"Friml, Jiří","orcid":"0000-0002-8302-7596"}],"corr_author":"1","publisher":"Institute of Science and Technology Austria","type":"dissertation","citation":{"apa":"Giannini, C. (2025). <i>Nuclear and cell surface auxin signaling in A. thaliana developmental transitions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20364\">https://doi.org/10.15479/AT-ISTA-20364</a>","mla":"Giannini, Caterina. <i>Nuclear and Cell Surface Auxin Signaling in A. Thaliana Developmental Transitions</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20364\">10.15479/AT-ISTA-20364</a>.","ama":"Giannini C. Nuclear and cell surface auxin signaling in A. thaliana developmental transitions. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20364\">10.15479/AT-ISTA-20364</a>","short":"C. Giannini, Nuclear and Cell Surface Auxin Signaling in A. Thaliana Developmental Transitions, Institute of Science and Technology Austria, 2025.","ista":"Giannini C. 2025. Nuclear and cell surface auxin signaling in A. thaliana developmental transitions. Institute of Science and Technology Austria.","ieee":"C. Giannini, “Nuclear and cell surface auxin signaling in A. thaliana developmental transitions,” Institute of Science and Technology Austria, 2025.","chicago":"Giannini, Caterina. “Nuclear and Cell Surface Auxin Signaling in A. Thaliana Developmental Transitions.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20364\">https://doi.org/10.15479/AT-ISTA-20364</a>."},"related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"12291"},{"status":"public","relation":"part_of_dissertation","id":"19399"}]},"doi":"10.15479/AT-ISTA-20364","month":"09","page":"151","file_date_updated":"2025-09-30T14:31:29Z","article_processing_charge":"No","language":[{"iso":"eng"}],"acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"}],"year":"2025","ddc":["580"]},{"status":"public","tmp":{"name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","image":"/images/cc_by_sa.png","short":"CC BY-SA (4.0)"},"date_updated":"2026-07-06T12:51:41Z","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","OA_place":"publisher","acknowledgement":"I would also like to thank the LSF and Cryo facility at ISTA, which have been helpful in my\r\nexperiments. I would also like to acknowledge FWF, grant DOI 10.55776/PAT5044023 and JKU Nanocell grant DOI \r\n10.55776/W1250 for providing funding for my PhD research. EMBO and FWF for providing funding for travel grants to attend conferences.","degree_awarded":"PhD","department":[{"_id":"GradSch"},{"_id":"CaHe"},{"_id":"EdHa"}],"day":"12","alternative_title":["ISTA Thesis"],"author":[{"orcid":"0000-0001-8421-5508","full_name":"Naik, Suyash","last_name":"Naik","first_name":"Suyash","id":"2C0B105C-F248-11E8-B48F-1D18A9856A87"}],"title":"Keratins act as global coordinators of tissue spreading through mechanosensitive feedback","oa":1,"date_published":"2025-10-12T00:00:00Z","publication_identifier":{"isbn":["978-3-99078-069-5"],"issn":["2663-337X"]},"file":[{"file_id":"20567","access_level":"open_access","success":1,"content_type":"application/pdf","date_updated":"2025-10-28T13:10:08Z","file_size":6846189,"date_created":"2025-10-28T13:10:08Z","checksum":"2892f04d4a5c18677871c3e06ac1244a","relation":"main_file","file_name":"Thesis_PDFA_.pdf","creator":"snaik"},{"relation":"source_file","date_created":"2025-10-28T13:10:26Z","checksum":"15934d4465cd0e9b7c32678da9a33a2f","file_size":8839300,"creator":"snaik","file_name":"Thesis.zip","file_id":"20568","date_updated":"2025-10-28T13:10:26Z","content_type":"application/zip","access_level":"open_access"}],"oa_version":"Published Version","date_created":"2025-10-10T14:58:30Z","project":[{"name":"Keratins in epithelial tissue spreading","grant_number":"PAT 5044023","_id":"8f060199-16d5-11f0-9cad-f3253b266c46"},{"call_identifier":"FWF","name":"Nano-Analytics of Cellular Systems","_id":"25AA5F24-B435-11E9-9278-68D0E5697425","grant_number":"W 1250-B20"}],"_id":"20441","language":[{"iso":"eng"}],"acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"year":"2025","ddc":["596","597","532"],"month":"10","page":"105","file_date_updated":"2025-10-28T13:10:26Z","article_processing_charge":"No","license":"https://creativecommons.org/licenses/by-sa/4.0/","citation":{"apa":"Naik, S. (2025). <i>Keratins act as global coordinators of tissue spreading through mechanosensitive feedback</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20441\">https://doi.org/10.15479/AT-ISTA-20441</a>","mla":"Naik, Suyash. <i>Keratins Act as Global Coordinators of Tissue Spreading through Mechanosensitive Feedback</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20441\">10.15479/AT-ISTA-20441</a>.","ieee":"S. Naik, “Keratins act as global coordinators of tissue spreading through mechanosensitive feedback,” Institute of Science and Technology Austria, 2025.","chicago":"Naik, Suyash. “Keratins Act as Global Coordinators of Tissue Spreading through Mechanosensitive Feedback.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20441\">https://doi.org/10.15479/AT-ISTA-20441</a>.","ista":"Naik S. 2025. Keratins act as global coordinators of tissue spreading through mechanosensitive feedback. Institute of Science and Technology Austria.","ama":"Naik S. Keratins act as global coordinators of tissue spreading through mechanosensitive feedback. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20441\">10.15479/AT-ISTA-20441</a>","short":"S. Naik, Keratins Act as Global Coordinators of Tissue Spreading through Mechanosensitive Feedback, Institute of Science and Technology Austria, 2025."},"abstract":[{"text":"Epithelial spreading plays a pivotal role in the development of organisms especially those\r\nsuch as zebrafish which require the epithelial enveloping layer (EVL) to spread to cover the\r\nsubstantial yolk surface during gastrulation. Epiboly requires the transition of the epithelium\r\nwith cuboidal cells to form a thin, flat squamous epithelial sheet. During this transition, the\r\ncells show tissue-scale mechanosensation with mechanisms such as direct mechanical control\r\nover the axis of cell division.\r\nCytoskeletal intermediate filaments play a crucial role in vertebrate cells, not only facilitating\r\nmechanical stability but also helping facilitate the mechanosensitive response of the cell.\r\nMechanosenstivity displayed by intermediate filaments is due not just to their interesting\r\nphysical properties but also to their interactions with other cytoskeletal elements such as actin\r\nand microtubules. Keratin is the predominant intermediate filament expressed in the EVL.\r\nIt expresses concomitantly with the gastrulation movements of the developing embryo. Our\r\nwork focuses on understanding the role and dynamics of the keratin cytoskeletal network in\r\nmodulating the physical aspects of EVL spreading. We demonstrated with the combination of\r\nphysical characterisation and manipulations of the EVL, utilising a variety of biophysical tools\r\nand microscopy, the mechanistic role of keratin in tissue spreading.\r\nGenerating novel genetic morphants and mutants, we probe the effect that the loss of the\r\nkeratin network has on the physiology of the epithelium and the developing embryo. We\r\nshow that the changing organisation of the keratin network is important for changing EVL\r\nphysical properties as the stress imposed on the EVL increases during epiboly. By modelling\r\nthe epithelium, we study how the mechanical heterogeneity in an epithelium can feed back into\r\na mechanical loop to the maturation of the keratin network and hence affect the mechanics\r\nof the epithelium. However, unlike what would be predicted by the effect of intermediate\r\nfilaments in acting as a security belt and increasing the resistance of the epithelium, we observe\r\nthat loss of keratin leads to a delay in the EVL movement. Using both local aspirations of the\r\nYSL and EVL ablations, we demonstrate the mechanistic facilitation of actin mechanosensation\r\nin a keratin-dependent manner.\r\nFurthermore, using chemical inhibitors of microtubule polymerisation, we provide insight into\r\nthe mechanisms underlying the organisation and distribution of keratin. Interestingly, the\r\nphenotype observed upon this loss of microtubules shows that keratins interact with the nucleus\r\nthrough microtubular interactions. Together with these diverse observations, we describe\r\nthe mechanosensory feedback between resilience and that is critical for uniform and robust\r\nspreading of the epithelium.","lang":"eng"}],"related_material":{"record":[{"status":"public","id":"20465","relation":"part_of_dissertation"}]},"doi":"10.15479/AT-ISTA-20441","has_accepted_license":"1","publication_status":"published","supervisor":[{"last_name":"Heisenberg","first_name":"Carl-Philipp J","orcid":"0000-0002-0912-4566","full_name":"Heisenberg, Carl-Philipp J","id":"39427864-F248-11E8-B48F-1D18A9856A87"},{"id":"3A9DB764-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6005-1561","full_name":"Hannezo, Edouard B","first_name":"Edouard B","last_name":"Hannezo"}],"publisher":"Institute of Science and Technology Austria","corr_author":"1","type":"dissertation"},{"has_accepted_license":"1","supervisor":[{"last_name":"Friml","first_name":"Jiří","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87"}],"type":"dissertation","corr_author":"1","publisher":"Institute of Science and Technology Austria","publication_status":"published","abstract":[{"lang":"eng","text":"Plant growth and development rely significantly on phytohormones, with auxin serving as a master regulator, orchestrating processes from embryogenesis to organogenesis, vascular patterning, and environmental adaptation. Since its conceptual proposition by Charles Darwin in 1880 as an endogenous chemical signal influencing phototropism in grass, auxin has captivated scientists seeking to understand how such a small molecule exerts a profound influence on plant development.\r\nOne particularly fascinating aspect of auxin function is its ability to self-organize its transport. Through a feedback mechanism between auxin perception and directional transport—primarily mediated by PIN auxin transporters—auxin establishes narrow transport channels. This phenomenon, known as auxin canalization, is fundamental to vascular formation, regeneration, and other key developmental processes. Despite advances in our understanding, driven by experimental studies and computational models, auxin canalization remains an enigma, with many unanswered questions.\r\nLike other hormones, auxin functions through intricate signaling pathways. It operates through at least two distinct signaling mechanisms: the well-characterized canonical pathway and the less understood non-canonical pathway. While significant progress has been made in elucidating the canonical pathway, the non-canonical mechanisms remain less defined and require further investigation.\r\nIn this study, we revisit the non-canonical auxin signaling pathway mediated by the cell-surface complex Auxin Binding Protein 1-Transmembrane Kinase 1 (ABP1-TMK1), with a particular focus on its downstream phosphorylation events. We reveal that this auxin-mediated phosphorylation is conserved across the green lineage, underscoring its fundamental role in plant development. We explore key phosphorylation targets, particularly PIN2, which is essential for root gravitropism. To further understand TMK1’s role in diverse developmental processes, we identified and investigated its interactors as potential co-receptors or regulatory components within its signaling network.\r\nGiven the previously established role of ABP1-TMK1 in auxin canalization, we sought to further investigate this process and identified several TMK1 interactors also involved in this intricate mechanism.\r\nThese findings provide new insights into the complex regulation of auxin canalization, highlighting a broader and more interconnected signaling framework than previously understood."}],"citation":{"chicago":"Monzer, Aline. “Cell-Surface Auxin Signaling: Linking Molecular Pathways to Plant Development.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-19395\">https://doi.org/10.15479/AT-ISTA-19395</a>.","ista":"Monzer A. 2025. Cell-Surface Auxin Signaling: Linking molecular pathways to plant development. Institute of Science and Technology Austria.","ieee":"A. Monzer, “Cell-Surface Auxin Signaling: Linking molecular pathways to plant development,” Institute of Science and Technology Austria, 2025.","ama":"Monzer A. Cell-Surface Auxin Signaling: Linking molecular pathways to plant development. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-19395\">10.15479/AT-ISTA-19395</a>","short":"A. Monzer, Cell-Surface Auxin Signaling: Linking Molecular Pathways to Plant Development, Institute of Science and Technology Austria, 2025.","apa":"Monzer, A. (2025). <i>Cell-Surface Auxin Signaling: Linking molecular pathways to plant development</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-19395\">https://doi.org/10.15479/AT-ISTA-19395</a>","mla":"Monzer, Aline. <i>Cell-Surface Auxin Signaling: Linking Molecular Pathways to Plant Development</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-19395\">10.15479/AT-ISTA-19395</a>."},"related_material":{"record":[{"status":"public","id":"12291","relation":"part_of_dissertation"},{"id":"14826","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"19399","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"19398","status":"public"}]},"doi":"10.15479/AT-ISTA-19395","page":"160","file_date_updated":"2025-04-01T07:55:27Z","month":"03","article_processing_charge":"No","language":[{"iso":"eng"}],"year":"2025","ddc":["580"],"acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"}],"file":[{"file_name":"Final Thesis Aline Monzer.pdf","creator":"amonzer","date_created":"2025-03-12T14:14:49Z","checksum":"9a3dd03bb4ec6b9907a325c3c4e8a1d7","file_size":13119670,"relation":"main_file","access_level":"open_access","date_updated":"2025-03-12T14:14:49Z","content_type":"application/pdf","success":1,"file_id":"19396"},{"file_id":"19397","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","date_updated":"2025-04-01T07:55:27Z","access_level":"closed","relation":"source_file","file_size":13774837,"date_created":"2025-03-12T14:15:19Z","checksum":"a353ce1ee2eabce37bca35499e76dbf1","creator":"amonzer","file_name":"Thesis Aline.docx"}],"_id":"19395","oa_version":"Published Version","date_created":"2025-03-12T14:25:42Z","oa":1,"publication_identifier":{"eisbn":["978-3-99078-054-1"],"eissn":["2663-337X"]},"date_published":"2025-03-13T00:00:00Z","day":"13","department":[{"_id":"GradSch"},{"_id":"JiFr"}],"OA_place":"publisher","acknowledgement":"I would like to acknowledge the facilities at ISTA, particularly LSF, IOF, and, of course, the plant facility, for providing the necessary resources for my research.","degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"title":"Cell-Surface Auxin Signaling: Linking molecular pathways to plant development","author":[{"id":"2DB5D88C-D7B3-11E9-B8FD-7907E6697425","first_name":"Aline","last_name":"Monzer","full_name":"Monzer, Aline"}],"date_updated":"2026-07-06T12:52:09Z","status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd"},{"das_tickbox":"1","day":"02","department":[{"_id":"GradSch"},{"_id":"JiFr"},{"_id":"EvBe"}],"acknowledgement":"We deeply appreciate M. Wrzaczek’s constructive input and insightful discussions, which significantly enriched this work. We thank L. Fiedler for helping with the heat map and for the discussions. We also thank the facilities at ISTA, the imaging and optics (IOF) and Lab Support (LSF) facilities for their service and assistance.","OA_place":"repository","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1101/2025.02.28.640727"}],"title":"TMK interacting network of receptor like kinases for auxin canalization and beyond","author":[{"full_name":"Monzer, Aline","first_name":"Aline","last_name":"Monzer","id":"2DB5D88C-D7B3-11E9-B8FD-7907E6697425"},{"full_name":"Mazur, Ewa","last_name":"Mazur","first_name":"Ewa"},{"id":"3922B506-F248-11E8-B48F-1D18A9856A87","first_name":"Lesia","last_name":"Rodriguez Solovey","full_name":"Rodriguez Solovey, Lesia","orcid":"0000-0002-7244-7237"},{"last_name":"Gallei","first_name":"Michelle C","orcid":"0000-0003-1286-7368","full_name":"Gallei, Michelle C","id":"35A03822-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Minxia","last_name":"Zou","full_name":"Zou, Minxia","id":"5c243f41-03f3-11ec-841c-96faf48a7ef9"},{"full_name":"Smejkal, Michael","last_name":"Smejkal","first_name":"Michael","id":"79a5a1be-04a3-11f0-ba18-a1730e0b58e9"},{"last_name":"Cervenova","first_name":"Ema","full_name":"Cervenova, Ema","id":"9f185b95-04a3-11f0-8245-f5e32eeb470f"},{"orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","last_name":"Friml","first_name":"Jiří","id":"4159519E-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2026-07-06T12:52:09Z","tmp":{"short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"bioRxiv","_id":"19398","date_created":"2025-03-12T14:28:53Z","oa_version":"Published Version","oa":1,"OA_type":"green","date_published":"2025-03-02T00:00:00Z","month":"03","article_processing_charge":"No","language":[{"iso":"eng"}],"year":"2025","ddc":["580"],"acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"has_accepted_license":"1","corr_author":"1","type":"preprint","publication_status":"draft","abstract":[{"text":"Receptor-like kinases (RLKs), particularly the Transmembrane Kinase (TMK) family, play essential roles in signaling and development, with TMKs being key components of auxin perception and downstream phosphorylation events. While TMKs’ involvement in auxin canalization, a process essential for vasculature formation and regeneration, has been established, nonetheless, the additional signaling and regulatory partners remain poorly understood. In this study, we identify and characterize seven leucine-rich repeat RLKs (TINT1–TINT7) as novel interactors of TMK1, revealing their diverse evolutionary, structural, and functional characteristics. Our results show that TINTs interact with TMK1 and highlight their roles in regulating various developmental processes. Majority of TINTs contributes, together with TMK1, to auxin canalization, with TINT5 linking TMK1 to other canalization component CAMEL. Beyond canalization, we also establish the role of TINT-TMK1 interactions in processes such as stomatal movement and the hypocotyl’s gravitropic response. These findings suggest that TINTs, through their interaction with TMK1, are integral components of various signaling networks, contributing to both auxin canalization and broader plant development.","lang":"eng"}],"citation":{"ama":"Monzer A, Mazur E, Rodriguez Solovey L, et al. TMK interacting network of receptor like kinases for auxin canalization and beyond. <i>bioRxiv</i>. doi:<a href=\"https://doi.org/10.1101/2025.02.28.640727\">10.1101/2025.02.28.640727</a>","short":"A. Monzer, E. Mazur, L. Rodriguez Solovey, M.C. Gallei, M. Zou, M. Smejkal, E. Cervenova, J. Friml, BioRxiv (n.d.).","ista":"Monzer A, Mazur E, Rodriguez Solovey L, Gallei MC, Zou M, Smejkal M, Cervenova E, Friml J. TMK interacting network of receptor like kinases for auxin canalization and beyond. bioRxiv, <a href=\"https://doi.org/10.1101/2025.02.28.640727\">10.1101/2025.02.28.640727</a>.","ieee":"A. Monzer <i>et al.</i>, “TMK interacting network of receptor like kinases for auxin canalization and beyond,” <i>bioRxiv</i>. .","chicago":"Monzer, Aline, Ewa Mazur, Lesia Rodriguez Solovey, Michelle C Gallei, Minxia Zou, Michael Smejkal, Ema Cervenova, and Jiří Friml. “TMK Interacting Network of Receptor like Kinases for Auxin Canalization and Beyond.” <i>BioRxiv</i>, n.d. <a href=\"https://doi.org/10.1101/2025.02.28.640727\">https://doi.org/10.1101/2025.02.28.640727</a>.","mla":"Monzer, Aline, et al. “TMK Interacting Network of Receptor like Kinases for Auxin Canalization and Beyond.” <i>BioRxiv</i>, doi:<a href=\"https://doi.org/10.1101/2025.02.28.640727\">10.1101/2025.02.28.640727</a>.","apa":"Monzer, A., Mazur, E., Rodriguez Solovey, L., Gallei, M. C., Zou, M., Smejkal, M., … Friml, J. (n.d.). TMK interacting network of receptor like kinases for auxin canalization and beyond. <i>bioRxiv</i>. <a href=\"https://doi.org/10.1101/2025.02.28.640727\">https://doi.org/10.1101/2025.02.28.640727</a>"},"doi":"10.1101/2025.02.28.640727","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19395"}]}},{"citation":{"ama":"Chen H. The cAMP second messenger in auxin signalling. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-19478\">10.15479/AT-ISTA-19478</a>","short":"H. Chen, The CAMP Second Messenger in Auxin Signalling, Institute of Science and Technology Austria, 2025.","ista":"Chen H. 2025. The cAMP second messenger in auxin signalling. Institute of Science and Technology Austria.","chicago":"Chen, Huihuang. “The CAMP Second Messenger in Auxin Signalling.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-19478\">https://doi.org/10.15479/AT-ISTA-19478</a>.","ieee":"H. Chen, “The cAMP second messenger in auxin signalling,” Institute of Science and Technology Austria, 2025.","mla":"Chen, Huihuang. <i>The CAMP Second Messenger in Auxin Signalling</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-19478\">10.15479/AT-ISTA-19478</a>.","apa":"Chen, H. (2025). <i>The cAMP second messenger in auxin signalling</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-19478\">https://doi.org/10.15479/AT-ISTA-19478</a>"},"doi":"10.15479/AT-ISTA-19478","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"19421"},{"status":"public","id":"13212","relation":"part_of_dissertation"}]},"has_accepted_license":"1","corr_author":"1","publisher":"Institute of Science and Technology Austria","type":"dissertation","supervisor":[{"id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","first_name":"Jiří","last_name":"Friml"}],"publication_status":"published","language":[{"iso":"eng"}],"ddc":["580"],"year":"2025","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"file_date_updated":"2025-04-09T13:53:38Z","page":"118","month":"04","article_processing_charge":"No","publication_identifier":{"issn":["2663-337X"]},"date_published":"2025-04-04T00:00:00Z","file":[{"relation":"source_file","file_size":16344814,"checksum":"b154973663a1bba505683faab7ae5ead","date_created":"2025-04-08T08:00:07Z","creator":"hchen","file_name":"Thesis_0403_Huihuang.docx","file_id":"19526","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","date_updated":"2025-04-08T08:22:37Z","access_level":"closed"},{"embargo":"2026-10-08","file_name":"Thesis_0406_PDFA_Huihuang_1.pdf","embargo_to":"local","creator":"hchen","checksum":"0099565f024388830c125ec17375c1a0","date_created":"2025-04-08T08:00:06Z","file_size":8482147,"relation":"main_file","access_level":"closed","date_updated":"2025-04-09T13:53:38Z","content_type":"application/pdf","file_id":"19527"}],"_id":"19478","project":[{"call_identifier":"H2020","name":"Tracing Evolution of Auxin Transport and Polarity in Plants","_id":"261099A6-B435-11E9-9278-68D0E5697425","grant_number":"742985"},{"_id":"7bcece63-9f16-11ee-852c-ae94e099eeb6","grant_number":"P37051","name":"Guanylate cyclase activity of TIR1/AFBs auxin receptors"},{"_id":"8f347782-16d5-11f0-9cad-8c19706ee739","grant_number":"101142681","name":"Cyclic nucleotides as second messengers in plants"}],"date_created":"2025-04-04T07:48:24Z","oa_version":"Published Version","date_updated":"2026-07-06T12:58:58Z","status":"public","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","ec_funded":1,"department":[{"_id":"GradSch"},{"_id":"JiFr"}],"day":"04","degree_awarded":"PhD","acknowledgement":"This project was funded by the European Research Council Advanced Grant (ETAP-742985),\r\nEuropean Research Council (ERC; 101142681 CYNIPS), Austrian Science Fund (FWF; P\r\n37051-B).","OA_place":"publisher","title":"The cAMP second messenger in auxin signalling","author":[{"full_name":"Chen, Huihuang","first_name":"Huihuang","last_name":"Chen","id":"83c96512-15b2-11ec-abd3-b7eede36184f"}],"alternative_title":["ISTA Thesis"]},{"oa_version":"Published Version","date_created":"2026-01-02T10:46:47Z","_id":"20920","file":[{"relation":"source_file","file_size":8355494,"date_created":"2026-01-02T10:39:16Z","checksum":"8a099fbf54963bd0be38f7ce73658682","creator":"choffman","file_name":"2025_Hoffmann_Charlotte_Source.zip","file_id":"20921","content_type":"application/x-zip-compressed","date_updated":"2026-01-02T10:39:16Z","access_level":"closed"},{"file_id":"20922","access_level":"open_access","date_updated":"2026-01-02T10:39:26Z","content_type":"application/pdf","success":1,"checksum":"9521c07bfb2bb5b14a49c09fcfc96474","date_created":"2026-01-02T10:39:26Z","file_size":2258804,"relation":"main_file","file_name":"2025_Hoffmann_Charlotte_Thesis.pdf","creator":"choffman"}],"date_published":"2025-12-31T00:00:00Z","publication_identifier":{"issn":["2663-337X"]},"oa":1,"alternative_title":["ISTA Thesis"],"author":[{"id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7","first_name":"Charlotte","last_name":"Hoffmann","orcid":"0000-0003-2027-5549","full_name":"Hoffmann, Charlotte"}],"title":"Theory and applications of verifiable delay functions","OA_place":"publisher","degree_awarded":"PhD","day":"31","department":[{"_id":"GradSch"},{"_id":"KrPi"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","status":"public","tmp":{"short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode"},"date_updated":"2026-07-06T13:15:27Z","publication_status":"published","supervisor":[{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","full_name":"Pietrzak, Krzysztof Z","orcid":"0000-0002-9139-1654","last_name":"Pietrzak","first_name":"Krzysztof Z"}],"corr_author":"1","type":"dissertation","publisher":"Institute of Science and Technology Austria","has_accepted_license":"1","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"13143"},{"status":"public","relation":"part_of_dissertation","id":"12176"},{"id":"20556","relation":"earlier_version","status":"public"},{"status":"public","id":"19778","relation":"part_of_dissertation"},{"id":"20701","relation":"part_of_dissertation","status":"public"}]},"doi":"10.15479/AT-ISTA-20920","citation":{"chicago":"Hoffmann, Charlotte. “Theory and Applications of Verifiable Delay Functions.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20920\">https://doi.org/10.15479/AT-ISTA-20920</a>.","ieee":"C. Hoffmann, “Theory and applications of verifiable delay functions,” Institute of Science and Technology Austria, 2025.","ista":"Hoffmann C. 2025. Theory and applications of verifiable delay functions. Institute of Science and Technology Austria.","ama":"Hoffmann C. Theory and applications of verifiable delay functions. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20920\">10.15479/AT-ISTA-20920</a>","short":"C. Hoffmann, Theory and Applications of Verifiable Delay Functions, Institute of Science and Technology Austria, 2025.","apa":"Hoffmann, C. (2025). <i>Theory and applications of verifiable delay functions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20920\">https://doi.org/10.15479/AT-ISTA-20920</a>","mla":"Hoffmann, Charlotte. <i>Theory and Applications of Verifiable Delay Functions</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20920\">10.15479/AT-ISTA-20920</a>."},"abstract":[{"lang":"eng","text":"Verifiable Delay Functions (VDFs) introduced by Boneh et al. (CRYPTO'18) are functions that require a prescribed number of sequential steps T to evaluate, yet their output can be verified in time much faster than T. Since their introduction, VDFs have gained a lot of attention due to their applications in blockchain protocols, randomness beacons, timestamping and deniability. This thesis explores the theory and applications of VDFs, focusing on enhancing their soundness, efficiency and practicality.\r\n\r\nThe only practical VDFs known to date are based on repeated squaring in hidden order groups. Consider the function VDF(x,T)=x^(2^T).\r\nThe iterated squaring assumption states that, for a random group element x, the result of VDF cannot be computed significantly faster than performing T sequential squarings if the group order is unknown. To make the result verifiable a prover can compute a proof of exponentiation (PoE) \\pi. Given \\pi, the output of VDF can be verified in time much less than T.\r\n\r\nWe first present new constructions of statistically sound proofs of exponentiation, which are an important building block in the construction of SNARKs (Succinct Non-Interactive Argument of Knowledge). Statistical soundness means that the proofs remain secure against computationally unbounded adversaries, in particular, it remains secure even when the group order is known. We thereby address limitations in previous PoE protocols which either required (non-standard) hardness assumptions or a lot of parallel repetitions. Our construction significantly reduces the proof size of statistically sound PoEs that allow for a structured exponent, which leads to better efficiency of SNARKs and other applications.\r\n\r\nSecondly, we introduce improved batching techniques for PoEs, which allow multiple proofs to be aggregated and verified with minimal overhead. These protocols optimize communication and computation complexity in large-scale blockchain environments and enable scalable remote benchmarking of parallel computation resources.\r\n\r\nWe then construct VDFs with enhanced properties such as zero-knowledge and watermarkability. It was shown by Arun, Bonneau and Clark (ASIACRYPT'22) that these features enable new cryptographic primitives called short-lived proofs and signatures. The validity of such proofs and signatures expires after a predefined amount of time T, i.e., they are deniable after time T. Our constructions improve upon the constructions by Arun, Bonneau and Clark in several dimensions (faster forging times, arguably weaker assumptions).\r\n\r\nFinally, we apply PoEs in the realm of primality testing, providing cryptographically sound proofs of non-primality for large Proth numbers. This work gives a surprising application of VDFs in the area of computational number theory.\r\n\r\nTogether, our contributions advance both the theoretical foundations and the real-world usability of VDFs in general and in particular of PoEs, making them more adaptable and secure for current and emerging cryptographic applications."}],"article_processing_charge":"No","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","month":"12","page":"116","file_date_updated":"2026-01-02T10:39:26Z","ddc":["004"],"year":"2025","language":[{"iso":"eng"}]},{"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode"},"date_updated":"2026-07-06T13:15:27Z","status":"public","alternative_title":["ISTA Thesis"],"title":"Theory and applications of verifiable delay functions","author":[{"full_name":"Hoffmann, Charlotte","orcid":"0000-0003-2027-5549","last_name":"Hoffmann","first_name":"Charlotte","id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7"}],"department":[{"_id":"GradSch"},{"_id":"KrPi"}],"day":"31","OA_place":"publisher","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"date_published":"2025-10-31T00:00:00Z","_id":"20556","oa_version":"Published Version","date_created":"2025-10-27T14:16:56Z","file":[{"relation":"main_file","date_created":"2025-10-28T14:33:03Z","checksum":"1fffa4e2c33dd0b9f883d615504a2858","file_size":2259304,"creator":"choffman","file_name":"2025_Hoffmann_Charlotte_Thesis.pdf","file_id":"20573","date_updated":"2026-01-08T14:11:39Z","content_type":"application/pdf","access_level":"closed"},{"file_name":"2025_Hoffmann_Charlotte_Source.zip","creator":"choffman","checksum":"076ea98a1f0a86c3bbc990b6b9460dc2","date_created":"2025-10-28T14:35:06Z","file_size":9987633,"relation":"source_file","access_level":"closed","date_updated":"2025-11-11T09:34:54Z","content_type":"application/x-zip-compressed","file_id":"20574"}],"ddc":["004"],"year":"2025","language":[{"iso":"eng"}],"article_processing_charge":"No","page":"116","file_date_updated":"2026-01-08T14:11:39Z","month":"10","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"13143"},{"status":"public","id":"12176","relation":"part_of_dissertation"},{"relation":"later_version","id":"20920","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"19778"},{"status":"public","id":"20701","relation":"part_of_dissertation"}]},"doi":"10.15479/AT-ISTA-20556","abstract":[{"lang":"eng","text":"Verifiable Delay Functions (VDFs) introduced by Boneh et al. (CRYPTO'18) are functions that require a prescribed number of sequential steps T to evaluate, yet their output can be verified in time much faster than T. Since their introduction, VDFs have gained a lot of attention due to their applications in blockchain protocols, randomness beacons, timestamping and deniability. This thesis explores the theory and applications of VDFs, focusing on enhancing their soundness, efficiency and practicality.\r\n\r\nThe only practical VDFs known to date are based on repeated squaring in hidden order groups. Consider the function VDF(x,T)=x^(2^T).\r\nThe iterated squaring assumption states that, for a random group element x, the result of VDF cannot be computed significantly faster than performing T sequential squarings if the group order is unknown. To make the result verifiable a prover can compute a proof of exponentiation (PoE) \\pi. Given \\pi, the output of VDF can be verified in time much less than T.\r\n\r\nWe first present new constructions of statistically sound proofs of exponentiation, which are an important building block in the construction of SNARKs (Succinct Non-Interactive Argument of Knowledge). Statistical soundness means that the proofs remain secure against computationally unbounded adversaries, in particular, it remains secure even when the group order is known. We thereby address limitations in previous PoE protocols which either required (non-standard) hardness assumptions or a lot of parallel repetitions. Our construction significantly reduces the proof size of statistically sound PoEs that allow for a structured exponent, which leads to better efficiency of SNARKs and other applications.\r\n\r\nSecondly, we introduce improved batching techniques for PoEs, which allow multiple proofs to be aggregated and verified with minimal overhead. These protocols optimize communication and computation complexity in large-scale blockchain environments and enable scalable remote benchmarking of parallel computation resources.\r\n\r\nWe then construct VDFs with enhanced properties such as zero-knowledge and watermarkability. It was shown by Arun, Bonneau and Clark (ASIACRYPT'22) that these features enable new cryptographic primitives called short-lived proofs and signatures. The validity of such proofs and signatures expires after a predefined amount of time T, i.e., they are deniable after time T. Our constructions improve upon the constructions by Arun, Bonneau and Clark in several dimensions (faster forging times, arguably weaker assumptions).\r\n\r\nFinally, we apply PoEs in the realm of primality testing, providing cryptographically sound proofs of non-primality for large Proth numbers. This work gives a surprising application of VDFs in the area of computational number theory.\r\n\r\nTogether, our contributions advance both the theoretical foundations and the real-world usability of VDFs in general and in particular of PoEs, making them more adaptable and secure for current and emerging cryptographic applications."}],"citation":{"apa":"Hoffmann, C. (2025). <i>Theory and applications of verifiable delay functions</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20556\">https://doi.org/10.15479/AT-ISTA-20556</a>","mla":"Hoffmann, Charlotte. <i>Theory and Applications of Verifiable Delay Functions</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20556\">10.15479/AT-ISTA-20556</a>.","ama":"Hoffmann C. Theory and applications of verifiable delay functions. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20556\">10.15479/AT-ISTA-20556</a>","short":"C. Hoffmann, Theory and Applications of Verifiable Delay Functions, Institute of Science and Technology Austria, 2025.","chicago":"Hoffmann, Charlotte. “Theory and Applications of Verifiable Delay Functions.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20556\">https://doi.org/10.15479/AT-ISTA-20556</a>.","ieee":"C. Hoffmann, “Theory and applications of verifiable delay functions,” Institute of Science and Technology Austria, 2025.","ista":"Hoffmann C. 2025. Theory and applications of verifiable delay functions. Institute of Science and Technology Austria."},"supervisor":[{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z","last_name":"Pietrzak","first_name":"Krzysztof Z"}],"corr_author":"1","type":"dissertation","publisher":"Institute of Science and Technology Austria","publication_status":"published","has_accepted_license":"1"},{"publication":"Journal of Differential Geometry","project":[{"name":"Bridging Scales in Random Materials","call_identifier":"H2020","grant_number":"948819","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d"}],"_id":"10011","oa_version":"Preprint","date_created":"2021-09-13T12:17:10Z","external_id":{"arxiv":["2109.04233"]},"oa":1,"OA_type":"green","publication_identifier":{"issn":["0022-040X"],"eissn":["1945-743X"]},"arxiv":1,"date_published":"2025-05-01T00:00:00Z","department":[{"_id":"JuFi"}],"day":"01","ec_funded":1,"das_tickbox":"1","OA_place":"repository","article_type":"original","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813. The content of this paper was developed and parts of it were written during a visit of the first author to the Hausdorff Center of Mathematics (HCM), University of Bonn. The hospitality and the support of HCM are gratefully acknowledged.","title":"A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness","author":[{"id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","first_name":"Sebastian","last_name":"Hensel","full_name":"Hensel, Sebastian","orcid":"0000-0001-7252-8072"},{"first_name":"Tim","last_name":"Laux","full_name":"Laux, Tim"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2109.04233"}],"date_updated":"2026-07-06T13:37:21Z","keyword":["Mean curvature flow","gradient flows","varifolds","weak solutions","weak-strong uniqueness","calibrated geometry","gradient-flow calibrations"],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"       130","corr_author":"1","type":"journal_article","publisher":"International Press of Boston","publication_status":"published","abstract":[{"text":"We propose a new weak solution concept for (two-phase) mean curvature flow which enjoys both (unconditional) existence and (weak-strong) uniqueness properties. These solutions are evolving varifolds, just as in Brakke's formulation, but are coupled to the phase volumes by a simple transport equation. First, we show that, in the exact same setup as in Ilmanen's proof [J. Differential Geom. 38, 417-461, (1993)], any limit point of solutions to the Allen-Cahn equation is a varifold solution in our sense. Second, we prove that any calibrated flow in the sense of Fischer et al. [arXiv:2003.05478] - and hence any classical solution to mean curvature flow-is unique in the class of our new varifold solutions. This is in sharp contrast to the case of Brakke flows, which a priori may disappear at any given time and are therefore fatally non-unique. Finally, we propose an extension of the solution concept to the multi-phase case which is at least guaranteed to satisfy a weak-strong uniqueness principle.","lang":"eng"}],"citation":{"mla":"Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.” <i>Journal of Differential Geometry</i>, vol. 130, International Press of Boston, 2025, pp. 209–68, doi:<a href=\"https://doi.org/10.4310/jdg/1747065796\">10.4310/jdg/1747065796</a>.","apa":"Hensel, S., &#38; Laux, T. (2025). A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>Journal of Differential Geometry</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/jdg/1747065796\">https://doi.org/10.4310/jdg/1747065796</a>","chicago":"Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.” <i>Journal of Differential Geometry</i>. International Press of Boston, 2025. <a href=\"https://doi.org/10.4310/jdg/1747065796\">https://doi.org/10.4310/jdg/1747065796</a>.","ista":"Hensel S, Laux T. 2025. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. Journal of Differential Geometry. 130, 209–268.","ieee":"S. Hensel and T. Laux, “A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness,” <i>Journal of Differential Geometry</i>, vol. 130. International Press of Boston, pp. 209–268, 2025.","short":"S. Hensel, T. Laux, Journal of Differential Geometry 130 (2025) 209–268.","ama":"Hensel S, Laux T. A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness. <i>Journal of Differential Geometry</i>. 2025;130:209-268. doi:<a href=\"https://doi.org/10.4310/jdg/1747065796\">10.4310/jdg/1747065796</a>"},"doi":"10.4310/jdg/1747065796","scopus_import":"1","page":"209-268","month":"05","article_processing_charge":"No","volume":130,"language":[{"iso":"eng"}],"year":"2025","quality_controlled":"1"},{"scopus_import":"1","citation":{"mla":"Hashimoto, Keitaro, et al. “Exploring How to Authenticate Application Messages in MLS: More Efficient, Post-Quantum, and Anonymous Blocklistable.” <i>34th Usenix Security Symposium</i>, Usenix Association, 2025, pp. 6699–716.","apa":"Hashimoto, K., Katsumata, S., &#38; Pascual Perez, G. (2025). Exploring how to authenticate application messages in MLS: More efficient, post-quantum, and anonymous blocklistable. In <i>34th Usenix Security Symposium</i> (pp. 6699–6716). Seattle, WA, USA: Usenix Association.","ieee":"K. Hashimoto, S. Katsumata, and G. Pascual Perez, “Exploring how to authenticate application messages in MLS: More efficient, post-quantum, and anonymous blocklistable,” in <i>34th Usenix Security Symposium</i>, Seattle, WA, USA, 2025, pp. 6699–6716.","ista":"Hashimoto K, Katsumata S, Pascual Perez G. 2025. Exploring how to authenticate application messages in MLS: More efficient, post-quantum, and anonymous blocklistable. 34th Usenix Security Symposium. USENIX: Security Symposium, 6699–6716.","chicago":"Hashimoto, Keitaro, Shuichi Katsumata, and Guillermo Pascual Perez. “Exploring How to Authenticate Application Messages in MLS: More Efficient, Post-Quantum, and Anonymous Blocklistable.” In <i>34th Usenix Security Symposium</i>, 6699–6716. Usenix Association, 2025.","short":"K. Hashimoto, S. Katsumata, G. Pascual Perez, in:, 34th Usenix Security Symposium, Usenix Association, 2025, pp. 6699–6716.","ama":"Hashimoto K, Katsumata S, Pascual Perez G. Exploring how to authenticate application messages in MLS: More efficient, post-quantum, and anonymous blocklistable. In: <i>34th Usenix Security Symposium</i>. Usenix Association; 2025:6699-6716."},"abstract":[{"lang":"eng","text":"The Message Layer Security (MLS) protocol has recently been standardized by the IETF. MLS is a scalable secure group messaging protocol expected to run more efficiently compared to the Signal protocol at scale, while offering a similar level of strong security. Even though MLS has undergone extensive examination by researchers, the majority of the works have focused on confidentiality.\r\n\r\nIn this work, we focus on the authenticity of the application messages exchanged in MLS. Currently, MLS authenticates every application message with an EdDSA signature and while manageable, the overhead is greatly amplified in the post-quantum setting as the NIST-recommended Dilithium signature results in a 40x increase in size. We view this as an invitation to explore new authentication modes that can be used instead. We start by taking a systematic view on how application messages are authenticated in MLS and categorize authenticity into four different security notions. We then propose several authentication modes, offering a range of different efficiency and security profiles. For instance, in one of our modes, COSMOS++, we replace signatures with one-time tokens and a MAC tag, offering roughly a 75x savings in the post-quantum communication overhead. While this comes at the cost of weakening security compared to the authentication mode used by MLS, the lower communication overhead seems to make it a worthwhile trade-off with security."}],"publication_status":"published","publisher":"Usenix Association","type":"conference","corr_author":"1","has_accepted_license":"1","cryptoeprintid":1,"quality_controlled":"1","ddc":["000"],"year":"2025","conference":{"start_date":"2025-08-13","name":"USENIX: Security Symposium","end_date":"2025-08-15","location":"Seattle, WA, USA"},"language":[{"iso":"eng"}],"article_processing_charge":"No","month":"01","file_date_updated":"2025-11-24T07:44:08Z","page":"6699-6716","date_published":"2025-01-01T00:00:00Z","OA_type":"diamond","publication_identifier":{"isbn":["9781939133526"]},"oa":1,"external_id":{"cryptoeprintid":["2025/426"]},"date_created":"2025-11-23T23:01:40Z","oa_version":"Published Version","_id":"20668","project":[{"name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"}],"publication":"34th Usenix Security Symposium","file":[{"content_type":"application/pdf","success":1,"date_updated":"2025-11-24T07:44:08Z","access_level":"open_access","file_id":"20671","creator":"dernst","file_name":"2025_Usenix_Hashimoto.pdf","relation":"main_file","file_size":710733,"checksum":"fcfe8851aeb751af98c0b1335a0ef149","date_created":"2025-11-24T07:44:08Z"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","date_updated":"2026-07-07T06:02:03Z","author":[{"first_name":"Keitaro","last_name":"Hashimoto","full_name":"Hashimoto, Keitaro"},{"full_name":"Katsumata, Shuichi","last_name":"Katsumata","first_name":"Shuichi"},{"id":"2D7ABD02-F248-11E8-B48F-1D18A9856A87","first_name":"Guillermo","last_name":"Pascual Perez","full_name":"Pascual Perez, Guillermo","orcid":"0000-0001-8630-415X"}],"main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2025/426"}],"title":"Exploring how to authenticate application messages in MLS: More efficient, post-quantum, and anonymous blocklistable","acknowledgement":"This research was partially supported by JST CREST JPMJCR22M1, Japan and funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No.665385.","OA_place":"publisher","ec_funded":1,"das_tickbox":"1","day":"01"},{"_id":"20004","date_created":"2025-07-13T22:01:22Z","article_number":"75","oa_version":"Published Version","file":[{"relation":"main_file","file_size":952807,"date_created":"2025-07-14T07:11:04Z","checksum":"a8f7feb1aa3b896e31195841a989d622","creator":"dernst","file_name":"2025_LIPIcs.SoCG_Streltsova.pdf","file_id":"20015","content_type":"application/pdf","success":1,"date_updated":"2025-07-14T07:11:04Z","access_level":"open_access"}],"publication":"41st International Symposium on Computational Geometry","arxiv":1,"OA_type":"gold","publication_identifier":{"eissn":["1868-8969"],"isbn":["9783959773706"]},"date_published":"2025-06-20T00:00:00Z","oa":1,"external_id":{"arxiv":["2504.07752","2504.07770"]},"title":"Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers","author":[{"full_name":"Streltsova, Elizaveta","last_name":"Streltsova","first_name":"Elizaveta","id":"57a170da-dc96-11ea-b7c8-ab3565071bf7"},{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli","first_name":"Uli","last_name":"Wagner"}],"alternative_title":["LIPIcs"],"das_tickbox":"1","day":"20","department":[{"_id":"UlWa"}],"OA_place":"publisher","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-07T13:03:16Z","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"status":"public","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","corr_author":"1","type":"conference","publication_status":"published","intvolume":"       332","has_accepted_license":"1","doi":"10.4230/LIPIcs.SoCG.2025.75","scopus_import":"1","abstract":[{"text":"A long-standing conjecture of Eckhoff, Linhart, and Welzl, which would generalize McMullen’s Upper Bound Theorem for polytopes and refine asymptotic bounds due to Clarkson, asserts that for k ⩽ ⌊(n-d-2)/2⌋, the complexity of the (⩽ k)-level in a simple arrangement of n hemispheres in S^d is maximized for arrangements that are polar duals of neighborly d-polytopes. We prove this conjecture in the case n = d+4. By Gale duality, this implies the following result about crossing numbers: In every spherical arc drawing of K_n in S² (given by a set V ⊂ S² of n unit vectors connected by spherical arcs), the number of crossings is at least 1/4 ⌊n/2⌋ ⌊(n-1)/2⌋ ⌊(n-2)/2⌋ ⌊(n-3)/2⌋. This lower bound is attained if every open linear halfspace contains at least ⌊(n-2)/2⌋ of the vectors in V.\r\nMoreover, we determine the space of all linear and affine relations that hold between the face numbers of levels in simple arrangements of n hemispheres in S^d. This completes a long line of research on such relations, answers a question posed by Andrzejak and Welzl in 2003, and generalizes the classical fact that the Dehn-Sommerville relations generate all linear relations between the face numbers of simple polytopes (which correspond to the 0-level).\r\nTo prove these results, we introduce the notion of the g-matrix, which encodes the face numbers of levels in an arrangement and generalizes the classical g-vector of a polytope.","lang":"eng"}],"citation":{"short":"E. Streltsova, U. Wagner, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.","ama":"Streltsova E, Wagner U. Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers. In: <i>41st International Symposium on Computational Geometry</i>. Vol 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">10.4230/LIPIcs.SoCG.2025.75</a>","chicago":"Streltsova, Elizaveta, and Uli Wagner. “Levels in Arrangements: Linear Relations, the g-Matrix, and Applications to Crossing Numbers.” In <i>41st International Symposium on Computational Geometry</i>, Vol. 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">https://doi.org/10.4230/LIPIcs.SoCG.2025.75</a>.","ista":"Streltsova E, Wagner U. 2025. Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 75.","ieee":"E. Streltsova and U. Wagner, “Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers,” in <i>41st International Symposium on Computational Geometry</i>, Kanazawa, Japan, 2025, vol. 332.","mla":"Streltsova, Elizaveta, and Uli Wagner. “Levels in Arrangements: Linear Relations, the g-Matrix, and Applications to Crossing Numbers.” <i>41st International Symposium on Computational Geometry</i>, vol. 332, 75, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">10.4230/LIPIcs.SoCG.2025.75</a>.","apa":"Streltsova, E., &#38; Wagner, U. (2025). Levels in arrangements: Linear relations, the g-matrix, and applications to crossing numbers. In <i>41st International Symposium on Computational Geometry</i> (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2025.75\">https://doi.org/10.4230/LIPIcs.SoCG.2025.75</a>"},"article_processing_charge":"Yes","file_date_updated":"2025-07-14T07:11:04Z","month":"06","year":"2025","conference":{"location":"Kanazawa, Japan","name":"SoCG: Symposium on Computational Geometry","end_date":"2025-06-27","start_date":"2025-06-23"},"ddc":["510"],"quality_controlled":"1","volume":332,"language":[{"iso":"eng"}]},{"external_id":{"isi":["001501941500006"],"arxiv":["2405.08065"]},"researchdata_availability":"yes","oa":1,"date_published":"2025-05-16T00:00:00Z","publication_identifier":{"eissn":["2469-9934"],"issn":["2469-9926"]},"OA_type":"hybrid","arxiv":1,"publication":"Physical Review A","file":[{"file_id":"19755","access_level":"open_access","date_updated":"2025-05-28T09:16:03Z","success":1,"content_type":"application/pdf","checksum":"b83295a8f597b7781d8e7bfa3b393b42","date_created":"2025-05-28T09:16:03Z","file_size":571784,"relation":"main_file","file_name":"2025_PhysReviewA_Kun.pdf","creator":"dernst"}],"article_number":"L050402","oa_version":"Published Version","date_created":"2025-05-25T22:16:54Z","_id":"19733","status":"public","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_updated":"2026-07-07T14:05:51Z","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","article_type":"letter_note","OA_place":"publisher","acknowledgement":"This project has received funding from the European Union's Horizon 2020 and Horizon Europe research and innovation programmes under Grant Agreements No. 899368 (EPIQUS) and No. 101135288 (EPIQUE), the Marie Skłodowska-Curie Grant Agreement No. 956071 (AppQInfo), and the QuantERA II Programme under Grant Agreement No. 101017733 (PhoMemtor). The financial support by the Austrian Federal Ministry of Labour and Economy, the National Foundation for Research, Technology and Development, and the Christian Doppler Research Association is gratefully acknowledged. L.A.R. acknowledges support from the Erwin Schrödinger Center for Quantum Science & Technology (ESQ Discovery). This research was funded in whole or in part from the Austrian Science Fund (FWF) through [Grant No. 10.55776/COE1] (Quantum Science Austria), [Grant No. 10.55776/F71] (BeyondC), [Grant No. 10.55776/FG5] (Research Group 5), [Grant No. 10.55776/I6002] (PhoMemtor), and [Grant No. 10.55776/P36994] (Quantum Interference).","department":[{"_id":"OnHo"}],"day":"16","das_tickbox":"1","author":[{"last_name":"Kun","first_name":"Daniel","full_name":"Kun, Daniel"},{"id":"68011cd2-da32-11ee-a930-b2774c7aba5f","first_name":"Karl T","last_name":"Strömberg","full_name":"Strömberg, Karl T"},{"last_name":"Spagnolo","first_name":"Michele","full_name":"Spagnolo, Michele"},{"last_name":"Dakić","first_name":"Borivoje","full_name":"Dakić, Borivoje"},{"last_name":"Rozema","first_name":"Lee A.","full_name":"Rozema, Lee A."},{"first_name":"Philip","last_name":"Walther","full_name":"Walther, Philip"}],"title":"Direct and efficient detection of quantum superposition","citation":{"ama":"Kun D, Strömberg KT, Spagnolo M, Dakić B, Rozema LA, Walther P. Direct and efficient detection of quantum superposition. <i>Physical Review A</i>. 2025;111(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">10.1103/PhysRevA.111.L050402</a>","short":"D. Kun, K.T. Strömberg, M. Spagnolo, B. Dakić, L.A. Rozema, P. Walther, Physical Review A 111 (2025).","chicago":"Kun, Daniel, Karl T Strömberg, Michele Spagnolo, Borivoje Dakić, Lee A. Rozema, and Philip Walther. “Direct and Efficient Detection of Quantum Superposition.” <i>Physical Review A</i>. American Physical Society, 2025. <a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">https://doi.org/10.1103/PhysRevA.111.L050402</a>.","ieee":"D. Kun, K. T. Strömberg, M. Spagnolo, B. Dakić, L. A. Rozema, and P. Walther, “Direct and efficient detection of quantum superposition,” <i>Physical Review A</i>, vol. 111, no. 5. American Physical Society, 2025.","ista":"Kun D, Strömberg KT, Spagnolo M, Dakić B, Rozema LA, Walther P. 2025. Direct and efficient detection of quantum superposition. Physical Review A. 111(5), L050402.","apa":"Kun, D., Strömberg, K. T., Spagnolo, M., Dakić, B., Rozema, L. A., &#38; Walther, P. (2025). Direct and efficient detection of quantum superposition. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">https://doi.org/10.1103/PhysRevA.111.L050402</a>","mla":"Kun, Daniel, et al. “Direct and Efficient Detection of Quantum Superposition.” <i>Physical Review A</i>, vol. 111, no. 5, L050402, American Physical Society, 2025, doi:<a href=\"https://doi.org/10.1103/PhysRevA.111.L050402\">10.1103/PhysRevA.111.L050402</a>."},"abstract":[{"text":"One of the most striking quantum phenomena is superposition, where one particle simultaneously inhabits different states. Most methods to verify coherent superposition are indirect, in that they require the distinct states to be recombined. Here, we adapt an xor game, in which a “test” photon is placed in a superposition of two orthogonal spatial modes, and each mode is sent to separated parties who perform local measurements on their modes without reinterfering the original modes. We show that by using a second identical “measurement” photon the parties are nonetheless able to verify if the test photon was placed in coherent superposition of the two spatial modes. We then turn this game into a resource-efficient verification scheme, obtaining a confidence that the particle is superposed which approaches unity exponentially fast. We demonstrate our scheme using a single photon, obtaining a 99% confidence that the particle is superposed with only 37 copies. Our work shows the utility of xor games to verify quantum resources, allowing us to efficiently detect quantum superposition without reinterfering the superposed modes.","lang":"eng"}],"scopus_import":"1","related_material":{"record":[{"status":"public","id":"22142","relation":"research_data"}]},"doi":"10.1103/PhysRevA.111.L050402","has_accepted_license":"1","dataavailabilitystatement":"Data that support the findings of this study are openly available at Zenodo.","intvolume":"       111","publication_status":"published","supplementarymaterial":"yes","publisher":"American Physical Society","type":"journal_article","language":[{"iso":"eng"}],"volume":111,"quality_controlled":"1","ddc":["530"],"year":"2025","month":"05","issue":"5","file_date_updated":"2025-05-28T09:16:03Z","article_processing_charge":"No","isi":1},{"date_updated":"2026-07-07T14:05:51Z","status":"public","ddc":["530"],"year":"2025","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","department":[{"_id":"OnHo"}],"contributor":[{"last_name":"Rozema","first_name":"Lee","contributor_type":"researcher"},{"first_name":"Teodor","last_name":"Stroemberg","contributor_type":"researcher"},{"contributor_type":"supervisor","last_name":"Walther","first_name":"Philip"},{"last_name":"Dakic","first_name":"Borivoje","contributor_type":"supervisor"}],"day":"24","month":"4","OA_place":"repository","title":"Direct And Efficient Detection of Quantum Superposition - Data and Figures","author":[{"full_name":"Kun, Daniel","first_name":"Daniel","last_name":"Kun"}],"main_file_link":[{"url":"https://doi.org/10.5281/zenodo.13375452","open_access":"1"}],"article_processing_charge":"No","abstract":[{"text":"Data to generate Figures from the Letter \"Direct and Efficient Detection of Quantum Superposition\" published in APS Physical Review A.\r\nThe code can be found on the provided GitLab repository.","lang":"eng"}],"oa":1,"citation":{"apa":"Kun, D. (2025). Direct And Efficient Detection of Quantum Superposition - Data and Figures. Zenodo. <a href=\"https://doi.org/10.5281/zenodo.13375452\">https://doi.org/10.5281/zenodo.13375452</a>","mla":"Kun, Daniel. <i>Direct And Efficient Detection of Quantum Superposition - Data and Figures</i>. Zenodo, 2025, doi:<a href=\"https://doi.org/10.5281/zenodo.13375452\">10.5281/zenodo.13375452</a>.","chicago":"Kun, Daniel. “Direct And Efficient Detection of Quantum Superposition - Data and Figures.” Zenodo, 2025. <a href=\"https://doi.org/10.5281/zenodo.13375452\">https://doi.org/10.5281/zenodo.13375452</a>.","ista":"Kun D. 2025. Direct And Efficient Detection of Quantum Superposition - Data and Figures, Zenodo, <a href=\"https://doi.org/10.5281/zenodo.13375452\">10.5281/zenodo.13375452</a>.","ieee":"D. Kun, “Direct And Efficient Detection of Quantum Superposition - Data and Figures.” Zenodo, 2025.","short":"D. Kun, (2025).","ama":"Kun D. Direct And Efficient Detection of Quantum Superposition - Data and Figures. 2025. doi:<a href=\"https://doi.org/10.5281/zenodo.13375452\">10.5281/zenodo.13375452</a>"},"doi":"10.5281/zenodo.13375452","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"19733"}]},"OA_type":"green","date_published":"2025-04-24T00:00:00Z","publisher":"Zenodo","_id":"22142","type":"research_data_reference","date_created":"2026-06-25T11:08:53Z","oa_version":"Published Version"},{"volume":39,"language":[{"iso":"eng"}],"year":"2025","quality_controlled":"1","page":"1491-1519","issue":"3","month":"09","article_processing_charge":"No","abstract":[{"lang":"eng","text":"The canonical Ramsey theorem of Erdős and Rado implies that for any graph 𝐻, any edge-coloring (with an arbitrary number of colors) of a sufficiently large complete graph 𝐾𝑁 contains a monochromatic, lexicographic, or rainbow copy of 𝐻. The least such 𝑁 is called the Erdős–Rado number of 𝐻, denoted by 𝐸⁢𝑅⁡(𝐻). Erdős–Rado numbers of cliques have received considerable attention, and in this paper we extend this line of research by studying Erdős–Rado numbers of sparse graphs. For example, we prove that if 𝐻 has bounded degree, then 𝐸⁢𝑅⁡(𝐻) is polynomial in |𝑉⁡(𝐻)| if 𝐻 is bipartite but exponential in general. We also study the closely related problem of constrained Ramsey numbers. For a given tree S and given path 𝑃𝑡, we study the minimum 𝑁 such that every edge-coloring of 𝐾𝑁 contains a monochromatic copy of S or a rainbow copy of 𝑃𝑡. We prove a nearly optimal upper bound for this problem, which differs from the best known lower bound by a function of inverse Ackermann type."}],"citation":{"ama":"Gishboliner L, Milojević A, Sudakov B, Wigderson Y. Canonical Ramsey numbers of sparse graphs. <i>SIAM Journal on Discrete Mathematics</i>. 2025;39(3):1491-1519. doi:<a href=\"https://doi.org/10.1137/24m1714964\">10.1137/24m1714964</a>","short":"L. Gishboliner, A. Milojević, B. Sudakov, Y. Wigderson, SIAM Journal on Discrete Mathematics 39 (2025) 1491–1519.","chicago":"Gishboliner, Lior, Aleksa Milojević, Benny Sudakov, and Yuval Wigderson. “Canonical Ramsey Numbers of Sparse Graphs.” <i>SIAM Journal on Discrete Mathematics</i>. Society for Industrial &#38; Applied Mathematics, 2025. <a href=\"https://doi.org/10.1137/24m1714964\">https://doi.org/10.1137/24m1714964</a>.","ieee":"L. Gishboliner, A. Milojević, B. Sudakov, and Y. Wigderson, “Canonical Ramsey numbers of sparse graphs,” <i>SIAM Journal on Discrete Mathematics</i>, vol. 39, no. 3. Society for Industrial &#38; Applied Mathematics, pp. 1491–1519, 2025.","ista":"Gishboliner L, Milojević A, Sudakov B, Wigderson Y. 2025. Canonical Ramsey numbers of sparse graphs. SIAM Journal on Discrete Mathematics. 39(3), 1491–1519.","apa":"Gishboliner, L., Milojević, A., Sudakov, B., &#38; Wigderson, Y. (2025). Canonical Ramsey numbers of sparse graphs. <i>SIAM Journal on Discrete Mathematics</i>. Society for Industrial &#38; Applied Mathematics. <a href=\"https://doi.org/10.1137/24m1714964\">https://doi.org/10.1137/24m1714964</a>","mla":"Gishboliner, Lior, et al. “Canonical Ramsey Numbers of Sparse Graphs.” <i>SIAM Journal on Discrete Mathematics</i>, vol. 39, no. 3, Society for Industrial &#38; Applied Mathematics, 2025, pp. 1491–519, doi:<a href=\"https://doi.org/10.1137/24m1714964\">10.1137/24m1714964</a>."},"doi":"10.1137/24m1714964","scopus_import":"1","intvolume":"        39","type":"journal_article","publisher":"Society for Industrial & Applied Mathematics","publication_status":"published","date_updated":"2026-07-08T07:38:44Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"01","OA_place":"repository","article_type":"original","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.08644","open_access":"1"}],"author":[{"last_name":"Gishboliner","first_name":"Lior","full_name":"Gishboliner, Lior"},{"full_name":"Milojević, Aleksa","last_name":"Milojević","first_name":"Aleksa"},{"first_name":"Benny","last_name":"Sudakov","full_name":"Sudakov, Benny"},{"full_name":"Wigderson, Yuval","first_name":"Yuval","last_name":"Wigderson","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5"}],"title":"Canonical Ramsey numbers of sparse graphs","external_id":{"arxiv":["2410.08644"]},"oa":1,"publication_identifier":{"issn":["0895-4801"],"eissn":["1095-7146"]},"OA_type":"green","arxiv":1,"date_published":"2025-09-01T00:00:00Z","extern":"1","publication":"SIAM Journal on Discrete Mathematics","_id":"22155","mathsc":["05D10"],"oa_version":"Preprint","date_created":"2026-06-29T10:49:48Z"},{"external_id":{"isi":["001489653300001"],"arxiv":["2412.14960"]},"researchdata_availability":"no","oa":1,"date_published":"2025-04-03T00:00:00Z","DOAJ_listed":"1","publication_identifier":{"eissn":["2196-0763"]},"OA_type":"gold","arxiv":1,"publication":"EPJ Quantum Technology","file":[{"file_size":14352192,"date_created":"2025-05-05T10:52:52Z","checksum":"00c7a97d87f7a6314df5b0c2213fbb02","relation":"main_file","file_name":"2025_EPJQuantumTech_Abdalla.pdf","creator":"dernst","file_id":"19653","access_level":"open_access","success":1,"content_type":"application/pdf","date_updated":"2025-05-05T10:52:52Z"}],"oa_version":"Published Version","article_number":"42","date_created":"2025-05-04T22:02:30Z","_id":"19636","status":"public","tmp":{"short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"date_updated":"2026-07-08T09:29:52Z","user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","article_type":"review","OA_place":"publisher","acknowledgement":"We acknowledge the support of the CERN Physics Beyond Collider activity, the CERN Quantum Technology Initiative, the Long Range Broad Agency Announcement (BAA) for the Navy and Marine Corps Science and Technology programme, Hannover Leibniz University, and the Physics Department at Imperial College London, whose contributions were instrumental in supporting the workshop that laid the foundation for this paper.\r\nThe workshop was partially funded by contributions from the Long Range Broad Agency Announcement (BAA) for the Navy and Marine Corps Science and Technology programme, Hannover Leibniz University, and the Physics Department at Imperial College London.","day":"03","department":[{"_id":"OnHo"}],"das_tickbox":"1","title":"Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop","author":[{"first_name":"Adam","last_name":"Abdalla","full_name":"Abdalla, Adam"},{"full_name":"Abe, Mahiro","first_name":"Mahiro","last_name":"Abe"},{"full_name":"Abend, Sven","last_name":"Abend","first_name":"Sven"},{"last_name":"Abidi","first_name":"Mouine","full_name":"Abidi, 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Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop. <i>EPJ Quantum Technology</i>. 2025;12. doi:<a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">10.1140/epjqt/s40507-025-00344-3</a>","short":"A. Abdalla, M. Abe, S. Abend, M. Abidi, M. Aidelsburger, A. Alibabaei, B. Allard, J. Antoniadis, G. Arduini, N. Augst, P. Balamatsias, A. Balaž, H. Banks, R.L. Barcklay, M. Barone, M. Barsanti, M.G. Bason, A. Bassi, J.B. Bayle, C.F.A. Baynham, Q. Beaufils, S. Beldjoudi, A. Belić, S. Bennetts, J. Bernabeu, A. Bertoldi, C. Bigard, N.P. Bigelow, R. Bingham, D. Blas, A. Bobrick, S. Boehringer, A. Bogojević, K. Bongs, D. Bortoletto, P. Bouyer, C. Brand, O. Buchmueller, G. Buica, S. Calatroni, L. Calmels, P. Canizares, B. Canuel, A. Caramete, L.I. Caramete, M. Carlesso, J. Carlton, S.P. Carman, A. Carroll, M. Casariego, M. Chairetis, V. Charmandaris, U. Chauhan, J. Chen, M.L.M.L.M. Chiofalo, D. Ciampini, A. Cimbri, P. Cladé, J. Coleman, F.L. Constantin, C.R. Contaldi, R. Corgier, B. Dash, G.J. Davies, C. De Rham, A. De Roeck, D. Derr, S. Dey, F. Di Pumpo, G.S. Djordjevic, B. Döbrich, P. Dornan, M. Doser, G. Drougakis, J. Dunningham, A. Duspayev, S. Easo, J. Eby, M. Efremov, G. Elertas, J. Ellis, N. Entin, S. Fairhurst, M. Fanì, F. Fassi, P. Fayet, D. Felea, J. Feng, R. Flack, C. Foot, T. Freegarde, E. Fuchs, N. Gaaloul, D. Gao, S. Gardner, B.M. Garraway, C.L. Garrido Alzar, A. Gauguet, E. Giese, P. Gill, G.F. Giudice, E.P. Glasbrenner, J. Glick, P.W. Graham, E. Granados, P.F. Griffin, J. Gué, S. Guellati-Khelifa, S. Gupta, V. Gupta, L. Hackermueller, M. Haehnelt, T. Hakulinen, K. Hammerer, E.T. Hanımeli, T. Harte, S. Hartmann, L. Hawkins, A. Hees, A. Herbst, T.M. Hird, R. Hobson, J. Hogan, B. Holst, M. Holynski, O. Hosten, C.C. Hsu, W.C.W. Huang, K.M. Hughes, K. Hussain, G. Hütsi, A. Iovino, M.C. Isfan, G. Janson, P. Jeglič, P. Jetzer, Y. Jiang, G. Juzeliūnas, W. Kaenders, M. Kalliokoski, A. Kehagias, E. Kilian, C. Klempt, P. Knight, S. Koley, B. Konrad, T. Kovachy, M. Krutzik, M. Kumar, P. Kumar, H. Labiad, S.Y. Lan, A. Landragin, G. Landsberg, M. Langlois, B. Lanigan, B. Leone, C. Le Poncin-Lafitte, S. Lellouch, M. Lewicki, Y.H. Lien, L. Lombriser, E.L. Asamar, J.L. Lopez-Gonzalez, C. Lu, G.G. Luciano, N. Lundblad, C. De J. López Monjaraz, A. Lowe, M. Mackoit-Sinkevičienė, M. Maggiore, A. Majumdar, K. Makris, A. Maleknejad, A.L. Marchant, A. Mariotti, C. Markou, B. Matthews, A. Mazumdar, C. Mccabe, M. Meister, G. Mentasti, J. Menu, G. Messineo, B. Meyer-Hoppe, S. Micalizio, F. Migliaccio, P. Millington, M. Milosevic, A. Mishra, J. Mitchell, G.W. Morley, N. Mouelle, J. Müller, D. Newbold, W.T. Ni, C. Niehof, J. Noller, S. Odžak, D.K.L. Oi, A. Oikonomou, Y. Omar, C. Overstreet, V. Puthiya Veettil, J. Pahl, S. Paling, Z. Pan, G. Pappas, V. Pareek, E. Pasatembou, M. Paternostro, V.K. Pathak, E. Pelucchi, F. Pereira Dos Santos, A. Peters, A. Pichery, I. Pikovski, A. Pilaftsis, F.C. Pislan, R. Plunkett, R. Poggiani, M. Prevedelli, J. Rafelski, J. Raidal, M. Raidal, E.M. Rasel, S. Renaux-Petel, A. Richaud, P. Rivero-Antunez, T. Rodzinka, A. Roura, J. Rudolph, D. Sabulsky, M.S. Safronova, M. Sakellariadou, L. Salvi, M. Sameed, S. Sarkar, P. Schach, S.A. Schäffer, J. Schelfhout, M. Schilling, V. Schkolnik, W.P. Schleich, D. Schlippert, U. Schneider, F. Schreck, A. Schwartzman, N. Schwersenz, O. Sergijenko, H.R. Sfar, L. Shao, I. Shipsey, J. Shu, Y. Singh, C.F. Sopuerta, M. Sorba, F. Sorrentino, A.D.A.M. Spallicci, P. Stefanescu, N. Stergioulas, D. Stoerk, H. Thaivalappil Sunilkumar, J. Ströhle, Z. Tam, D. Tandon, Y. Tang, D. Tell, J. Tempere, D.J. Temples, R.P. Thampy, I.C. Tietje, G.M. Tino, J.N. Tinsley, O. Tintareanu Mircea, K. Tkalčec, A.J. Tolley, V. Tornatore, A. Torres-Orjuela, P. Treutlein, A. Trombettoni, C. Ufrecht, J. Urrutia, T. Valenzuela, L.R. Valerio, M. Van Der Grinten, V. Vaskonen, V. Vázquez-Aceves, H. Veermäe, F. Vetrano, N.V. Vitanov, W. Von Klitzing, S. Wald, T. Walker, R. Walser, J. Wang, Y. Wang, C.A. Weidner, A. Wenzlawski, M. Werner, L. Wörner, M.E. Yahia, E. Yazgan, E. Zambrini Cruzeiro, M. Zarei, M. Zhan, S. Zhang, L. Zhou, E. Zupanič, EPJ Quantum Technology 12 (2025).","ieee":"A. Abdalla <i>et al.</i>, “Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop,” <i>EPJ Quantum Technology</i>, vol. 12. Springer Nature, 2025.","chicago":"Abdalla, Adam, Mahiro Abe, Sven Abend, Mouine Abidi, Monika Aidelsburger, Ashkan Alibabaei, Baptiste Allard, et al. “Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the Second Workshop.” <i>EPJ Quantum Technology</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">https://doi.org/10.1140/epjqt/s40507-025-00344-3</a>.","ista":"Abdalla A et al. 2025. Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop. EPJ Quantum Technology. 12, 42.","mla":"Abdalla, Adam, et al. “Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the Second Workshop.” <i>EPJ Quantum Technology</i>, vol. 12, 42, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">10.1140/epjqt/s40507-025-00344-3</a>.","apa":"Abdalla, A., Abe, M., Abend, S., Abidi, M., Aidelsburger, M., Alibabaei, A., … Zupanič, E. (2025). Terrestrial Very-Long-Baseline Atom Interferometry: Summary of the second workshop. <i>EPJ Quantum Technology</i>. Springer Nature. <a href=\"https://doi.org/10.1140/epjqt/s40507-025-00344-3\">https://doi.org/10.1140/epjqt/s40507-025-00344-3</a>"},"abstract":[{"lang":"eng","text":"This summary of the second Terrestrial Very-Long-Baseline Atom Interferometry (TVLBAI) Workshop provides a comprehensive overview of our meeting held in London in April 2024 (Second Terrestrial Very-Long-Baseline Atom Interferometry Workshop, Imperial College, April 2024), building on the initial discussions during the inaugural workshop held at CERN in March 2023 (First Terrestrial Very-Long-Baseline Atom Interferometry Workshop, CERN, March 2023). Like the summary of the first workshop (Abend et al. in AVS Quantum Sci. 6:024701, 2024), this document records a critical milestone for the international atom interferometry community. It documents our concerted efforts to evaluate progress, address emerging challenges, and refine strategic directions for future large-scale atom interferometry projects. Our commitment to collaboration is manifested by the integration of diverse expertise and the coordination of international resources, all aimed at advancing the frontiers of atom interferometry physics and technology, as set out in a Memorandum of Understanding signed by over 50 institutions (Memorandum of Understanding for the Terrestrial Very Long Baseline Atom Interferometer Study)."}],"scopus_import":"1","doi":"10.1140/epjqt/s40507-025-00344-3","has_accepted_license":"1","dataavailabilitystatement":"No datasets were generated or analysed during the current study.","intvolume":"        12","publication_status":"published","supplementarymaterial":"no","type":"journal_article","publisher":"Springer Nature","language":[{"iso":"eng"}],"volume":12,"quality_controlled":"1","ddc":["530"],"year":"2025","month":"04","file_date_updated":"2025-05-05T10:52:52Z","article_processing_charge":"Yes","isi":1},{"day":"01","OA_place":"repository","article_type":"original","author":[{"first_name":"Micha","last_name":"Christoph","full_name":"Christoph, Micha"},{"last_name":"Martinsson","first_name":"Anders","full_name":"Martinsson, Anders"},{"full_name":"Steiner, Raphael","last_name":"Steiner","first_name":"Raphael"},{"id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval","last_name":"Wigderson","full_name":"Wigderson, Yuval"}],"title":"Resolution of the Kohayakawa–Kreuter conjecture","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2402.03045","open_access":"1"}],"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_updated":"2026-07-08T10:24:21Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","publication":"Proceedings of the London Mathematical Society","_id":"22157","mathsc":["05C70","05D10","05C80"],"oa_version":"Preprint","article_number":"e70013","date_created":"2026-06-29T10:50:35Z","external_id":{"arxiv":["2402.03045"]},"oa":1,"OA_type":"green","publication_identifier":{"issn":["0024-6115"],"eissn":["1460-244X"]},"arxiv":1,"date_published":"2025-01-01T00:00:00Z","issue":"1","month":"01","article_processing_charge":"No","volume":130,"language":[{"iso":"eng"}],"ddc":["500"],"year":"2025","quality_controlled":"1","intvolume":"       130","type":"journal_article","publisher":"Wiley","publication_status":"published","abstract":[{"lang":"eng","text":"A graph 𝐺 is said to be Ramsey for a tuple of graphs(𝐻 1 , … , 𝐻𝑟 ) if every 𝑟-coloring of the edges of 𝐺 con-tains a monochromatic copy of 𝐻𝑖 in color 𝑖, for some 𝑖.A fundamental question at the intersection of Ramseytheory and the theory of random graphs is to deter-mine the threshold at which the binomial randomgraph 𝐺𝑛,𝑝 becomes asymptotically almost surely Ram-sey for a fixed tuple (𝐻 1 , … , 𝐻𝑟 ), and a famous conjectureof Kohayakawa and Kreuter predicts this threshold.Earlier work of Mousset–Nenadov–Samotij, Bowtell–Hancock–Hyde, and Kuperwasser–Samotij–Wigdersonhas reduced this probabilistic problem to a determinis-tic graph decomposition conjecture. In this paper, weresolve this deterministic problem, thus proving theKohayakawa–Kreuter conjecture. Along the way, weprove a number of novel graph decomposition resultsthat may be of independent interest."}],"citation":{"ieee":"M. Christoph, A. Martinsson, R. Steiner, and Y. Wigderson, “Resolution of the Kohayakawa–Kreuter conjecture,” <i>Proceedings of the London Mathematical Society</i>, vol. 130, no. 1. Wiley, 2025.","chicago":"Christoph, Micha, Anders Martinsson, Raphael Steiner, and Yuval Wigderson. “Resolution of the Kohayakawa–Kreuter Conjecture.” <i>Proceedings of the London Mathematical Society</i>. Wiley, 2025. <a href=\"https://doi.org/10.1112/plms.70013\">https://doi.org/10.1112/plms.70013</a>.","ista":"Christoph M, Martinsson A, Steiner R, Wigderson Y. 2025. Resolution of the Kohayakawa–Kreuter conjecture. Proceedings of the London Mathematical Society. 130(1), e70013.","short":"M. Christoph, A. Martinsson, R. Steiner, Y. Wigderson, Proceedings of the London Mathematical Society 130 (2025).","ama":"Christoph M, Martinsson A, Steiner R, Wigderson Y. Resolution of the Kohayakawa–Kreuter conjecture. <i>Proceedings of the London Mathematical Society</i>. 2025;130(1). doi:<a href=\"https://doi.org/10.1112/plms.70013\">10.1112/plms.70013</a>","mla":"Christoph, Micha, et al. “Resolution of the Kohayakawa–Kreuter Conjecture.” <i>Proceedings of the London Mathematical Society</i>, vol. 130, no. 1, e70013, Wiley, 2025, doi:<a href=\"https://doi.org/10.1112/plms.70013\">10.1112/plms.70013</a>.","apa":"Christoph, M., Martinsson, A., Steiner, R., &#38; Wigderson, Y. (2025). Resolution of the Kohayakawa–Kreuter conjecture. <i>Proceedings of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/plms.70013\">https://doi.org/10.1112/plms.70013</a>"},"doi":"10.1112/plms.70013","scopus_import":"1"},{"day":"10","OA_place":"repository","article_type":"original","title":"An efficient asymmetric removal lemma and its limitations","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2301.07693"}],"author":[{"last_name":"Gishboliner","first_name":"Lior","full_name":"Gishboliner, Lior"},{"full_name":"Shapira, Asaf","first_name":"Asaf","last_name":"Shapira"},{"id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval","last_name":"Wigderson","full_name":"Wigderson, Yuval"}],"date_updated":"2026-07-08T10:31:22Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Forum of Mathematics, Sigma","extern":"1","_id":"22158","mathsc":["05C35","11B75"],"article_number":"e38","oa_version":"Preprint","date_created":"2026-06-29T10:51:07Z","external_id":{"arxiv":["2301.07693"]},"oa":1,"OA_type":"green","publication_identifier":{"issn":["2050-5094"]},"arxiv":1,"date_published":"2025-02-10T00:00:00Z","month":"02","article_processing_charge":"No","volume":13,"language":[{"iso":"eng"}],"year":"2025","quality_controlled":"1","intvolume":"        13","publisher":"Cambridge University Press","type":"journal_article","publication_status":"published","abstract":[{"text":"The triangle removal states that if G contains  edge-disjoint triangles, then G contains  triangles. Unfortunately, there are no sensible bounds on the order of growth of , and at any rate, it is known that  is not polynomial in . Csaba recently obtained an asymmetric variant of the triangle removal, stating that if G contains  edge-disjoint triangles, then G contains  copies of . To this end, he devised a new variant of Szemerédi’s regularity lemma. We obtain the following results:\r\n\r\n• We first give a regularity-free proof of Csaba’s theorem, which improves the number of copies of  to the optimal number .\r\n\r\n• We say that H is -abundant if every graph containing  edge-disjoint triangles has  copies of H. It is easy to see that a -abundant graph must be triangle-free and tripartite. Given our first result, it is natural to ask if all triangle-free tripartite graphs are -abundant. Our second result is that assuming a well-known conjecture of Ruzsa in additive number theory, the answer to this question is negative.\r\n\r\nOur proofs use a mix of combinatorial, number-theoretic, probabilistic and Ramsey-type arguments.","lang":"eng"}],"citation":{"apa":"Gishboliner, L., Shapira, A., &#38; Wigderson, Y. (2025). An efficient asymmetric removal lemma and its limitations. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2024.68\">https://doi.org/10.1017/fms.2024.68</a>","mla":"Gishboliner, Lior, et al. “An Efficient Asymmetric Removal Lemma and Its Limitations.” <i>Forum of Mathematics, Sigma</i>, vol. 13, e38, Cambridge University Press, 2025, doi:<a href=\"https://doi.org/10.1017/fms.2024.68\">10.1017/fms.2024.68</a>.","ista":"Gishboliner L, Shapira A, Wigderson Y. 2025. An efficient asymmetric removal lemma and its limitations. Forum of Mathematics, Sigma. 13, e38.","chicago":"Gishboliner, Lior, Asaf Shapira, and Yuval Wigderson. “An Efficient Asymmetric Removal Lemma and Its Limitations.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2025. <a href=\"https://doi.org/10.1017/fms.2024.68\">https://doi.org/10.1017/fms.2024.68</a>.","ieee":"L. Gishboliner, A. Shapira, and Y. Wigderson, “An efficient asymmetric removal lemma and its limitations,” <i>Forum of Mathematics, Sigma</i>, vol. 13. Cambridge University Press, 2025.","short":"L. Gishboliner, A. Shapira, Y. Wigderson, Forum of Mathematics, Sigma 13 (2025).","ama":"Gishboliner L, Shapira A, Wigderson Y. An efficient asymmetric removal lemma and its limitations. <i>Forum of Mathematics, Sigma</i>. 2025;13. doi:<a href=\"https://doi.org/10.1017/fms.2024.68\">10.1017/fms.2024.68</a>"},"doi":"10.1017/fms.2024.68","scopus_import":"1"},{"volume":348,"language":[{"iso":"eng"}],"year":"2025","quality_controlled":"1","issue":"4","month":"04","article_processing_charge":"No","abstract":[{"text":"For a field F and integers d and k, a set A ⊆ Fd is called k-nearly orthogonal if its\r\nmembers are non-self-orthogonal and every k + 1 vectors of A include an orthogonal pair.\r\nWe prove that for every prime p there exists some δ = δ(p)> 0, such that for every field\r\nF of characteristic p and for all integers k ≥ 2 and d ≥ k, there exists a k-nearly orthogonal\r\nset of at least dδ·k/ logk vectors of Fd. The size of the set is optimal up to the logk term\r\nin the exponent. We further prove two extensions of this result. In the first, we provide a\r\nlarge set A of non-self-orthogonal vectors of Fd such that for every two subsets of A of\r\nsize k+1 each, some vector of one of the subsets is orthogonal to some vector of the other.\r\nIn the second extension, every k + 1 vectors of the produced set A include ℓ + 1 pairwise\r\northogonal vectors for an arbitrary fixed integer 1 ≤ ℓ ≤ k. The proofs involve probabilistic\r\nand spectral arguments and the hypergraph container method","lang":"eng"}],"citation":{"ieee":"I. Haviv, S. Mattheus, A. Milojević, and Y. Wigderson, “Larger nearly orthogonal sets over finite fields,” <i>Discrete Mathematics</i>, vol. 348, no. 4. Elsevier, 2025.","chicago":"Haviv, Ishay, Sam Mattheus, Aleksa Milojević, and Yuval Wigderson. “Larger Nearly Orthogonal Sets over Finite Fields.” <i>Discrete Mathematics</i>. Elsevier, 2025. <a href=\"https://doi.org/10.1016/j.disc.2024.114373\">https://doi.org/10.1016/j.disc.2024.114373</a>.","ista":"Haviv I, Mattheus S, Milojević A, Wigderson Y. 2025. Larger nearly orthogonal sets over finite fields. Discrete Mathematics. 348(4), 114373.","ama":"Haviv I, Mattheus S, Milojević A, Wigderson Y. Larger nearly orthogonal sets over finite fields. <i>Discrete Mathematics</i>. 2025;348(4). doi:<a href=\"https://doi.org/10.1016/j.disc.2024.114373\">10.1016/j.disc.2024.114373</a>","short":"I. Haviv, S. Mattheus, A. Milojević, Y. Wigderson, Discrete Mathematics 348 (2025).","mla":"Haviv, Ishay, et al. “Larger Nearly Orthogonal Sets over Finite Fields.” <i>Discrete Mathematics</i>, vol. 348, no. 4, 114373, Elsevier, 2025, doi:<a href=\"https://doi.org/10.1016/j.disc.2024.114373\">10.1016/j.disc.2024.114373</a>.","apa":"Haviv, I., Mattheus, S., Milojević, A., &#38; Wigderson, Y. (2025). Larger nearly orthogonal sets over finite fields. <i>Discrete Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.disc.2024.114373\">https://doi.org/10.1016/j.disc.2024.114373</a>"},"doi":"10.1016/j.disc.2024.114373","scopus_import":"1","intvolume":"       348","type":"journal_article","publisher":"Elsevier","publication_status":"published","keyword":["Nearly orthogonal sets","Ramsey theory","Finite fields"],"date_updated":"2026-07-14T08:17:17Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","das_tickbox":"1","day":"01","OA_place":"repository","article_type":"original","author":[{"full_name":"Haviv, Ishay","last_name":"Haviv","first_name":"Ishay"},{"full_name":"Mattheus, Sam","first_name":"Sam","last_name":"Mattheus"},{"last_name":"Milojević","first_name":"Aleksa","full_name":"Milojević, Aleksa"},{"id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval","last_name":"Wigderson","full_name":"Wigderson, Yuval"}],"title":"Larger nearly orthogonal sets over finite fields","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2404.01057 ","open_access":"1"}],"oa":1,"external_id":{"arxiv":["2404.01057"]},"arxiv":1,"publication_identifier":{"issn":["0012-365X"]},"OA_type":"green","date_published":"2025-04-01T00:00:00Z","publication":"Discrete Mathematics","extern":"1","_id":"22163","date_created":"2026-06-29T10:53:05Z","article_number":"114373","oa_version":"Preprint"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","date_updated":"2026-07-14T08:38:08Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2307.16611","open_access":"1"}],"author":[{"full_name":"KUPERWASSER, EDEN","first_name":"EDEN","last_name":"KUPERWASSER"},{"first_name":"WOJCIECH","last_name":"SAMOTIJ","full_name":"SAMOTIJ, WOJCIECH"},{"full_name":"Wigderson, Yuval","first_name":"Yuval","last_name":"Wigderson","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5"}],"title":"On the Kohayakawa–Kreuter conjecture","article_type":"original","OA_place":"repository","day":"28","date_published":"2025-04-28T00:00:00Z","publication_identifier":{"eissn":["1469-8064"],"issn":["0305-0041"]},"OA_type":"green","arxiv":1,"external_id":{"arxiv":["2307.16611"]},"oa":1,"oa_version":"Preprint","date_created":"2026-06-29T10:55:00Z","_id":"22168","mathsc":["05C80","05C55","05D10"],"publication":"Mathematical Proceedings of the Cambridge Philosophical Society","extern":"1","quality_controlled":"1","year":"2025","language":[{"iso":"eng"}],"volume":178,"article_processing_charge":"No","month":"04","page":"293-320","issue":"3","scopus_import":"1","doi":"10.1017/s0305004125000143","citation":{"apa":"KUPERWASSER, E., SAMOTIJ, W., &#38; Wigderson, Y. (2025). On the Kohayakawa–Kreuter conjecture. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/s0305004125000143\">https://doi.org/10.1017/s0305004125000143</a>","mla":"KUPERWASSER, EDEN, et al. “On the Kohayakawa–Kreuter Conjecture.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 178, no. 3, Cambridge University Press, 2025, pp. 293–320, doi:<a href=\"https://doi.org/10.1017/s0305004125000143\">10.1017/s0305004125000143</a>.","chicago":"KUPERWASSER, EDEN, WOJCIECH SAMOTIJ, and Yuval Wigderson. “On the Kohayakawa–Kreuter Conjecture.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Cambridge University Press, 2025. <a href=\"https://doi.org/10.1017/s0305004125000143\">https://doi.org/10.1017/s0305004125000143</a>.","ieee":"E. KUPERWASSER, W. SAMOTIJ, and Y. Wigderson, “On the Kohayakawa–Kreuter conjecture,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 178, no. 3. Cambridge University Press, pp. 293–320, 2025.","ista":"KUPERWASSER E, SAMOTIJ W, Wigderson Y. 2025. On the Kohayakawa–Kreuter conjecture. Mathematical Proceedings of the Cambridge Philosophical Society. 178(3), 293–320.","short":"E. KUPERWASSER, W. SAMOTIJ, Y. Wigderson, Mathematical Proceedings of the Cambridge Philosophical Society 178 (2025) 293–320.","ama":"KUPERWASSER E, SAMOTIJ W, Wigderson Y. On the Kohayakawa–Kreuter conjecture. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. 2025;178(3):293-320. doi:<a href=\"https://doi.org/10.1017/s0305004125000143\">10.1017/s0305004125000143</a>"},"abstract":[{"text":"Let us say that a graph G is Ramsey for a tuple (H1, ... , Hr) of graphs if every r-colouring\r\nof the edges of G contains a monochromatic copy of Hi in colour i, for some i ∈ [[r]].\r\nA famous conjecture of Kohayakawa and Kreuter, extending seminal work of Rödl and\r\nRucinski, predicts the threshold at which the binomial random graph ´ Gn,p becomes Ramsey\r\nfor (H1, ... , Hr) asymptotically almost surely.\r\nIn this paper, we resolve the Kohayakawa–Kreuter conjecture for almost all tuples of\r\ngraphs. Moreover, we reduce its validity to the truth of a certain deterministic statement,\r\nwhich is a clear necessary condition for the conjecture to hold. All of our results actually hold in greater generality, when one replaces the graphs H1, ... , Hr by finite families\r\nH1, ... , Hr. Additionally, we pose a natural (deterministic) graph-partitioning conjecture,\r\nwhich we believe to be of independent interest, and whose resolution would imply the\r\nKohayakawa–Kreuter conjecture.","lang":"eng"}],"publication_status":"published","publisher":"Cambridge University Press","type":"journal_article","intvolume":"       178"},{"scopus_import":"1","doi":"10.19086/aic.2025.10","citation":{"ista":"Girão A, Hunter Z, Wigderson Y. 2025. Blowups of triangle-free graphs. Advances in Combinatorics. 10.","chicago":"Girão, António, Zach Hunter, and Yuval Wigderson. “Blowups of Triangle-Free Graphs.” <i>Advances in Combinatorics</i>. Alliance of Diamond Open Access Journals, 2025. <a href=\"https://doi.org/10.19086/aic.2025.10\">https://doi.org/10.19086/aic.2025.10</a>.","ieee":"A. Girão, Z. Hunter, and Y. Wigderson, “Blowups of triangle-free graphs,” <i>Advances in Combinatorics</i>, vol. 10. Alliance of Diamond Open Access Journals, 2025.","ama":"Girão A, Hunter Z, Wigderson Y. Blowups of triangle-free graphs. <i>Advances in Combinatorics</i>. 2025;10. doi:<a href=\"https://doi.org/10.19086/aic.2025.10\">10.19086/aic.2025.10</a>","short":"A. Girão, Z. Hunter, Y. Wigderson, Advances in Combinatorics 10 (2025).","apa":"Girão, A., Hunter, Z., &#38; Wigderson, Y. (2025). Blowups of triangle-free graphs. <i>Advances in Combinatorics</i>. Alliance of Diamond Open Access Journals. <a href=\"https://doi.org/10.19086/aic.2025.10\">https://doi.org/10.19086/aic.2025.10</a>","mla":"Girão, António, et al. “Blowups of Triangle-Free Graphs.” <i>Advances in Combinatorics</i>, vol. 10, Alliance of Diamond Open Access Journals, 2025, doi:<a href=\"https://doi.org/10.19086/aic.2025.10\">10.19086/aic.2025.10</a>."},"abstract":[{"lang":"eng","text":"A highly influential result of Nikiforov states that if an n-vertex graph G contains\r\nat least γnh copies of a fixed h-vertex graph H, then G contains a blowup of H of order\r\nΩγ,H(logn). While the dependence on n is optimal, the correct dependence on γ is unknown;\r\nall known proofs yield bounds that are polynomial in γ, but the best known upper bound,\r\ncoming from random graphs, is only logarithmic in γ. It is a major open problem to narrow\r\nthis gap.\r\nWe prove that if H is triangle-free, then the logarithmic behavior of the upper bound\r\nis the truth. That is, under the assumptions above, G contains a blowup of H of order\r\nΩH(logn/log(1/γ)). This is the first non-trivial instance where the optimal dependence in\r\nNikiforov’s theorem is known.\r\nAs a consequence, we also prove an upper bound on multicolor Ramsey numbers of\r\nblowups of triangle-free graphs, proving that the dependence on the number of colors is\r\npolynomial once the blowup is sufficiently large. This shows that, from the perspective\r\nof multicolor Ramsey numbers, blowups of fixed triangle-free graphs behave like bipartite\r\ngraphs."}],"publication_status":"published","publisher":"Alliance of Diamond Open Access Journals","type":"journal_article","intvolume":"        10","quality_controlled":"1","year":"2025","language":[{"iso":"eng"}],"volume":10,"article_processing_charge":"No","month":"12","date_published":"2025-12-19T00:00:00Z","arxiv":1,"OA_type":"green","oa":1,"external_id":{"arxiv":["2408.12913"]},"date_created":"2026-06-29T10:56:44Z","oa_version":"Preprint","_id":"22172","publication":"Advances in Combinatorics","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","date_updated":"2026-07-14T08:50:55Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2408.12913"}],"author":[{"first_name":"António","last_name":"Girão","full_name":"Girão, António"},{"full_name":"Hunter, Zach","first_name":"Zach","last_name":"Hunter"},{"id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval","last_name":"Wigderson","full_name":"Wigderson, Yuval"}],"title":"Blowups of triangle-free graphs","article_type":"original","OA_place":"repository","day":"19"}]
