--- OA_place: publisher OA_type: gold _id: '18847' abstract: - lang: eng text: "Machine Learning and AI have the potential to transform data-driven\r\nscientific discovery, enabling accurate predictions for several scientific\r\nphenomena. As many scientific questions are inherently causal, this paper looks\r\nat the causal inference task of treatment effect estimation, where the outcome\r\nof interest is recorded in high-dimensional observations in a Randomized\r\nControlled Trial (RCT). Despite being the simplest possible causal setting and\r\na perfect fit for deep learning, we theoretically find that many common choices\r\nin the literature may lead to biased estimates. To test the practical impact of\r\nthese considerations, we recorded ISTAnt, the first real-world benchmark for\r\ncausal inference downstream tasks on high-dimensional observations as an RCT\r\nstudying how garden ants (Lasius neglectus) respond to microparticles applied\r\nonto their colony members by hygienic grooming. Comparing 6 480 models\r\nfine-tuned from state-of-the-art visual backbones, we find that the sampling\r\nand modeling choices significantly affect the accuracy of the causal estimate,\r\nand that classification accuracy is not a proxy thereof. We further validated\r\nthe analysis, repeating it on a synthetically generated visual data set\r\ncontrolling the causal model. Our results suggest that future benchmarks should\r\ncarefully consider real downstream scientific questions, especially causal\r\nones. Further, we highlight guidelines for representation learning methods to\r\nhelp answer causal questions in the sciences." acknowledgement: We thank Piersilvio De Bartolomeis, and the full Causal Learning and Artificial Intelligence (CLAI) group at ISTA for the extremely helpful discussions. Riccardo Cadei was supported by a Google Research Scholar Award and a Google Initiated Gift to Francesco Locatello. We thank the Social Immunity team at ISTA particularly Michaela Hönigsberger and Wilfrid Jean Louis, for supporting the ecological experiment and Farnaz Beikzadeh Abbasi, Luisa Fiebig and Martin Estermann for annotating ant behavior in ISTAnt. article_processing_charge: No arxiv: 1 author: - first_name: Riccardo full_name: Cadei, Riccardo id: 0fa8b76f-72f0-11ef-b75a-a5da96e5ad6b last_name: Cadei - first_name: Lukas full_name: Lindorfer, Lukas id: 85f0e6d3-06b3-11ec-8982-8c5049fa4455 last_name: Lindorfer - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 - first_name: Cordelia full_name: Schmid, Cordelia last_name: Schmid - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 citation: ama: 'Cadei R, Lindorfer L, Cremer S, Schmid C, Locatello F. Smoke and mirrors in causal downstream tasks. In: ICML 2024 Workshop AI4Science. Vol 38. Curran Associates; 2024.' apa: Cadei, R., Lindorfer, L., Cremer, S., Schmid, C., & Locatello, F. (2024). Smoke and mirrors in causal downstream tasks. In ICML 2024 Workshop AI4Science (Vol. 38). Curran Associates. chicago: Cadei, Riccardo, Lukas Lindorfer, Sylvia Cremer, Cordelia Schmid, and Francesco Locatello. “Smoke and Mirrors in Causal Downstream Tasks.” In ICML 2024 Workshop AI4Science, Vol. 38. Curran Associates, 2024. ieee: R. Cadei, L. Lindorfer, S. Cremer, C. Schmid, and F. Locatello, “Smoke and mirrors in causal downstream tasks,” in ICML 2024 Workshop AI4Science, 2024, vol. 38. ista: 'Cadei R, Lindorfer L, Cremer S, Schmid C, Locatello F. 2024. Smoke and mirrors in causal downstream tasks. ICML 2024 Workshop AI4Science. ICML: International Conference on Machine Learning vol. 38.' mla: Cadei, Riccardo, et al. “Smoke and Mirrors in Causal Downstream Tasks.” ICML 2024 Workshop AI4Science, vol. 38, Curran Associates, 2024. short: R. Cadei, L. Lindorfer, S. Cremer, C. Schmid, F. Locatello, in:, ICML 2024 Workshop AI4Science, Curran Associates, 2024. conference: end_date: 2024-07-26 name: 'ICML: International Conference on Machine Learning' start_date: 2024-07-26 corr_author: '1' das_tickbox: '0' date_created: 2025-01-14T07:27:26Z date_published: 2024-09-25T00:00:00Z date_updated: 2026-10-21T10:52:44Z day: '25' ddc: - '000' - '570' department: - _id: SyCr - _id: FrLo - _id: GradSch external_id: arxiv: - '2405.17151' file: - access_level: open_access checksum: beedf05388bbdb7ddda81ec3d5ec7026 content_type: application/pdf creator: dernst date_created: 2025-01-27T11:42:24Z date_updated: 2025-01-27T11:42:24Z file_id: '18896' file_name: 2024_ICML_Cadei.pdf file_size: 4453014 relation: main_file success: 1 file_date_updated: 2025-01-27T11:42:24Z has_accepted_license: '1' intvolume: ' 38' language: - iso: eng month: '09' oa: 1 oa_version: Published Version publication: ICML 2024 Workshop AI4Science publication_status: published publisher: Curran Associates quality_controlled: '1' related_material: link: - relation: software url: https://github.com/CausalLearningAI/ISTAnt record: - id: '18895' relation: research_data status: public - id: '19509' relation: later_version status: public researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: Smoke and mirrors in causal downstream tasks tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 38 year: '2024' ... --- OA_place: repository OA_type: green _id: '19509' abstract: - lang: eng text: "Machine Learning and AI have the potential to transform data-driven scientific discovery,\r\nenabling accurate predictions for several scientific phenomena. As many scientific questions\r\nare inherently causal, this paper looks at the causal inference task of treatment effect\r\nestimation, where the outcome of interest is recorded in high-dimensional observations\r\nin a Randomized Controlled Trial (RCT). Despite being the simplest possible causal setting\r\nand a perfect fit for deep learning, we theoretically find that many common choices in the\r\nliterature may lead to biased estimates. To test the practical impact of these considerations,\r\nwe recorded ISTAnt, the first real-world benchmark for causal inference downstream tasks\r\non high-dimensional observations as an RCT studying how garden ants (Lasius neglectus)\r\nrespond to microparticles applied onto their colony members by hygienic grooming.\r\nComparing 6 480 models fine-tuned from state-of-the-art visual backbones, we find that\r\nthe sampling and modeling choices significantly affect the accuracy of the causal estimate,\r\nand that classification accuracy is not a proxy thereof. We further validated the analysis,\r\nrepeating it on a synthetically generated visual data set controlling the causal model. Our\r\nresults suggest that future benchmarks should carefully consider real downstream scientific\r\nquestions, especially causal ones. Further, we highlight guidelines for representation\r\nlearning methods to help answer causal questions in the sciences.\r\nCode: https://github.com/CausalLearningAI/ISTAnt\r\nData: https://doi.org/10.6084/m9.figshare.26484934.v2" acknowledgement: We thank Piersilvio De Bartolomeis, and the full Causal Learning and Artificial Intelligence (CLAI) group at ISTA for the extremely helpful discussions. Riccardo Cadei was supported by a Google Research Scholar Award and a Google Initiated Gift to Francesco Locatello. We thank the Social Immunity team at ISTA, particularly Michaela Hönigsberger and Wilfrid Jean Louis, for supporting the ecological experiment and Farnaz Beikzadeh Abbasi, Luisa Fiebig and Martin Estermann for annotating ant behavior in ISTAnt. alternative_title: - Advances in Neural Information Processing Systems article_processing_charge: No arxiv: 1 author: - first_name: Riccardo full_name: Cadei, Riccardo id: 0fa8b76f-72f0-11ef-b75a-a5da96e5ad6b last_name: Cadei - first_name: Lukas full_name: Lindorfer, Lukas id: 85f0e6d3-06b3-11ec-8982-8c5049fa4455 last_name: Lindorfer - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 - first_name: Cordelia full_name: Schmid, Cordelia last_name: Schmid - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 citation: ama: 'Cadei R, Lindorfer L, Cremer S, Schmid C, Locatello F. Smoke and mirrors in causal downstream tasks. In: 38th Conference on Neural Information Processing Systems. Vol 37. Neural Information Processing Systems Foundation; 2024. doi:10.52202/079017-0820' apa: 'Cadei, R., Lindorfer, L., Cremer, S., Schmid, C., & Locatello, F. (2024). Smoke and mirrors in causal downstream tasks. In 38th Conference on Neural Information Processing Systems (Vol. 37). Vancouver, Canada: Neural Information Processing Systems Foundation. https://doi.org/10.52202/079017-0820' chicago: Cadei, Riccardo, Lukas Lindorfer, Sylvia Cremer, Cordelia Schmid, and Francesco Locatello. “Smoke and Mirrors in Causal Downstream Tasks.” In 38th Conference on Neural Information Processing Systems, Vol. 37. Neural Information Processing Systems Foundation, 2024. https://doi.org/10.52202/079017-0820. ieee: R. Cadei, L. Lindorfer, S. Cremer, C. Schmid, and F. Locatello, “Smoke and mirrors in causal downstream tasks,” in 38th Conference on Neural Information Processing Systems, Vancouver, Canada, 2024, vol. 37. ista: 'Cadei R, Lindorfer L, Cremer S, Schmid C, Locatello F. 2024. Smoke and mirrors in causal downstream tasks. 38th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 37.' mla: Cadei, Riccardo, et al. “Smoke and Mirrors in Causal Downstream Tasks.” 38th Conference on Neural Information Processing Systems, vol. 37, Neural Information Processing Systems Foundation, 2024, doi:10.52202/079017-0820. short: R. Cadei, L. Lindorfer, S. Cremer, C. Schmid, F. Locatello, in:, 38th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2024. conference: end_date: 2024-12-15 location: Vancouver, Canada name: 'NeurIPS: Neural Information Processing Systems' start_date: 2024-12-09 das_tickbox: '1' dataavailabilitystatement: "Code: https://github.com/CausalLearningAI/ISTAnt\r\nData: https://doi.org/10.6084/m9.figshare.26484934.v2" date_created: 2025-04-06T22:01:32Z date_published: 2024-12-20T00:00:00Z date_updated: 2026-10-21T10:52:44Z day: '20' department: - _id: SyCr - _id: FrLo doi: 10.52202/079017-0820 external_id: arxiv: - '2405.17151' fulldoi: https://doi.org/10.52202/079017-0820 intvolume: ' 37' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2405.17151 month: '12' oa: 1 oa_version: Preprint publication: 38th Conference on Neural Information Processing Systems publication_identifier: eissn: - 1049-5258 publication_status: published publisher: Neural Information Processing Systems Foundation quality_controlled: '1' related_material: link: - relation: software url: https://github.com/CausalLearningAI/ISTAnt record: - id: '18847' relation: earlier_version status: public researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: Smoke and mirrors in causal downstream tasks type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 37 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '17461' abstract: - lang: eng text: Socially living animals can counteract disease through cooperative defences, leading to social immunity that collectively exceeds the sum of individual defences. In superorganismal colonies of social insects with permanent caste separation between reproductive queen(s) and nonreproducing workers, workers are obligate altruists and thus engage in unconditional social immunity, including highly specialised and self-sacrificial hygiene behaviours. Contrastingly, cooperation is facultative in cooperatively breeding families, where all members are reproductively totipotent but offspring transiently forgo reproduction to help their parents rear more siblings. Here, helpers should either express condition-dependent social immunity or disperse to pursue independent reproduction. We advocate inclusive fitness theory as a framework to predict when and how indirect fitness gains may outweigh direct fitness costs, thus favouring conditional social immunity. acknowledgement: We thank Koos Boomsma and two anonymous reviewers for their constructive comments on the manuscript. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 - first_name: Christopher full_name: Pull, Christopher id: 3C7F4840-F248-11E8-B48F-1D18A9856A87 last_name: Pull orcid: 0000-0003-1122-3982 citation: ama: Cremer S, Pull C. Unconditional versus condition-dependent social immunity. Trends in Parasitology. 2024;40(9):780-787. doi:10.1016/j.pt.2024.07.014 apa: Cremer, S., & Pull, C. (2024). Unconditional versus condition-dependent social immunity. Trends in Parasitology. Elsevier. https://doi.org/10.1016/j.pt.2024.07.014 chicago: Cremer, Sylvia, and Christopher Pull. “Unconditional versus Condition-Dependent Social Immunity.” Trends in Parasitology. Elsevier, 2024. https://doi.org/10.1016/j.pt.2024.07.014. ieee: S. Cremer and C. Pull, “Unconditional versus condition-dependent social immunity,” Trends in Parasitology, vol. 40, no. 9. Elsevier, pp. 780–787, 2024. ista: Cremer S, Pull C. 2024. Unconditional versus condition-dependent social immunity. Trends in Parasitology. 40(9), 780–787. mla: Cremer, Sylvia, and Christopher Pull. “Unconditional versus Condition-Dependent Social Immunity.” Trends in Parasitology, vol. 40, no. 9, Elsevier, 2024, pp. 780–87, doi:10.1016/j.pt.2024.07.014. short: S. Cremer, C. Pull, Trends in Parasitology 40 (2024) 780–787. corr_author: '1' das_tickbox: '0' date_created: 2024-08-25T22:01:08Z date_published: 2024-09-01T00:00:00Z date_updated: 2026-10-21T10:27:15Z day: '01' ddc: - '570' department: - _id: SyCr doi: 10.1016/j.pt.2024.07.014 external_id: isi: - '001307815700001' pmid: - '39152078' file: - access_level: open_access checksum: 362fc994e5df66caf3025b7dc437b647 content_type: application/pdf creator: dernst date_created: 2025-01-09T13:46:05Z date_updated: 2025-01-09T13:46:05Z file_id: '18816' file_name: 2024_TrendsParasitology_Cremer.pdf file_size: 1068464 relation: main_file success: 1 file_date_updated: 2025-01-09T13:46:05Z fulldoi: https://doi.org/10.1016/j.pt.2024.07.014 has_accepted_license: '1' intvolume: ' 40' isi: 1 issue: '9' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 780-787 pmid: 1 publication: Trends in Parasitology publication_identifier: eissn: - 1471-5007 issn: - 1471-4922 publication_status: published publisher: Elsevier quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Unconditional versus condition-dependent social immunity tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 40 year: '2024' ... --- _id: '14479' abstract: - lang: eng text: 'In animals, parasitic infections impose significant fitness costs.1,2,3,4,5,6 Infected animals can alter their feeding behavior to resist infection,7,8,9,10,11,12 but parasites can manipulate animal foraging behavior to their own benefits.13,14,15,16 How nutrition influences host-parasite interactions is not well understood, as studies have mainly focused on the host and less on the parasite.9,12,17,18,19,20,21,22,23 We used the nutritional geometry framework24 to investigate the role of amino acids (AA) and carbohydrates (C) in a host-parasite system: the Argentine ant, Linepithema humile, and the entomopathogenic fungus, Metarhizium brunneum. First, using 18 diets varying in AA:C composition, we established that the fungus performed best on the high-amino-acid diet 1:4. Second, we found that the fungus reached this optimal diet when given various diet pairings, revealing its ability to cope with nutritional challenges. Third, we showed that the optimal fungal diet reduced the lifespan of healthy ants when compared with a high-carbohydrate diet but had no effect on infected ants. Fourth, we revealed that infected ant colonies, given a choice between the optimal fungal diet and a high-carbohydrate diet, chose the optimal fungal diet, whereas healthy colonies avoided it. Lastly, by disentangling fungal infection from host immune response, we demonstrated that infected ants foraged on the optimal fungal diet in response to immune activation and not as a result of parasite manipulation. Therefore, we revealed that infected ant colonies chose a diet that is costly for survival in the long term but beneficial in the short term—a form of collective self-medication.' acknowledgement: We are sincerely grateful to the referees for their valuable comments and suggestions, which helped us to improve the paper. We are thankful to Jorgen Eilenberg and Nicolai V. Meyling for the fungal strain, to Simon Tragust, Abel Bernadou, and Brian Lazarro for insightful discussions, to Iago Sanmartín-Villar, Léa Briard, Céline Maitrel, and Nolwenn Rissen for their help with the experiments. Furthermore, we thank Anna V. Grasse for help with the immune gene expression analyses. We thank Sergio Ibarra for creating the graphical abstract. E.C. was supported by a Fyssen Foundation grant and the Alexander von Humboldt Foundation. A.D. was supported by the CNRS. article_processing_charge: No article_type: original author: - first_name: Eniko full_name: Csata, Eniko last_name: Csata - first_name: Alfonso full_name: Perez-Escudero, Alfonso last_name: Perez-Escudero - first_name: Emmanuel full_name: Laury, Emmanuel last_name: Laury - first_name: Hanna full_name: Leitner, Hanna id: 8fc5c6f6-5903-11ec-abad-c83f046253e7 last_name: Leitner - first_name: Gerard full_name: Latil, Gerard last_name: Latil - first_name: Juerge full_name: Heinze, Juerge last_name: Heinze - first_name: Stephen full_name: Simpson, Stephen last_name: Simpson - first_name: Sylvia full_name: Cremer, Sylvia id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 - first_name: Audrey full_name: Dussutour, Audrey last_name: Dussutour citation: ama: Csata E, Perez-Escudero A, Laury E, et al. Fungal infection alters collective nutritional intake of ant colonies. Current Biology. 2024;34(4):902-909.e6. doi:10.1016/j.cub.2024.01.017 apa: Csata, E., Perez-Escudero, A., Laury, E., Leitner, H., Latil, G., Heinze, J., … Dussutour, A. (2024). Fungal infection alters collective nutritional intake of ant colonies. Current Biology. Elsevier. https://doi.org/10.1016/j.cub.2024.01.017 chicago: Csata, Eniko, Alfonso Perez-Escudero, Emmanuel Laury, Hanna Leitner, Gerard Latil, Juerge Heinze, Stephen Simpson, Sylvia Cremer, and Audrey Dussutour. “Fungal Infection Alters Collective Nutritional Intake of Ant Colonies.” Current Biology. Elsevier, 2024. https://doi.org/10.1016/j.cub.2024.01.017. ieee: E. Csata et al., “Fungal infection alters collective nutritional intake of ant colonies,” Current Biology, vol. 34, no. 4. Elsevier, p. 902–909.e6, 2024. ista: Csata E, Perez-Escudero A, Laury E, Leitner H, Latil G, Heinze J, Simpson S, Cremer S, Dussutour A. 2024. Fungal infection alters collective nutritional intake of ant colonies. Current Biology. 34(4), 902–909.e6. mla: Csata, Eniko, et al. “Fungal Infection Alters Collective Nutritional Intake of Ant Colonies.” Current Biology, vol. 34, no. 4, Elsevier, 2024, p. 902–909.e6, doi:10.1016/j.cub.2024.01.017. short: E. Csata, A. Perez-Escudero, E. Laury, H. Leitner, G. Latil, J. Heinze, S. Simpson, S. Cremer, A. Dussutour, Current Biology 34 (2024) 902–909.e6. das_tickbox: '1' dataavailabilitystatement: "All data generated in this paper will be made publicly available upon acceptance.\r\nAny additional information required to reanalyze the data reported in this paper is available from the lead contact upon request." date_created: 2023-10-31T13:30:20Z date_published: 2024-02-26T00:00:00Z date_updated: 2026-10-21T10:26:54Z day: '26' department: - _id: SyCr doi: 10.1016/j.cub.2024.01.017 external_id: isi: - '001195884300001' pmid: - '38307022' fulldoi: https://doi.org/10.1016/j.cub.2024.01.017 intvolume: ' 34' isi: 1 issue: '4' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1101/2023.10.26.564092 month: '02' oa: 1 oa_version: Preprint page: 902-909.e6 pmid: 1 publication: Current Biology publication_identifier: eissn: - 1879-0445 issn: - 0960-9822 publication_status: published publisher: Elsevier quality_controlled: '1' researchdata_availability: unclear scopus_import: '1' status: public supplementarymaterial: yes title: Fungal infection alters collective nutritional intake of ant colonies type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 34 year: '2024' ... --- OA_place: repository OA_type: gold _id: '18895' abstract: - lang: eng text: 'ISTAnt is a new ecological dataset for social immunity and represents the first real-world benchmark for causal inference downstream tasks on high-dimensional observations. It analyzes grooming behavior in the ant Lasius neglectus in groups of three worker ants. The workers for the experiment were obtained from their laboratory stock colony, which had been collected from the field in 2022 in the Botanical Garden Jena, Germany. Ant collection and all experimental work were performed in compliance with international, national and institutional regulations and ethical guidelines. For the experiment, the body surface of one of the three ants was treated with a suspension of either of two microparticle types (diameter ~5 µm) to induce grooming by the two nestmates, which were individually color-coded by application of a dot of blue or orange paint, respectively. The three ants were housed in small plastic containers (diameter 28mm, height 30mm) with moistened, plastered ground and the interior walls covered with PTFE (polytetrafluoroethane) to hamper climbing by the ants. Filming occurred in a temperature- and humidity-controlled room at 23°C within a custom-made filming box with controlled lighting and ventilation conditions. We set up nine ant groups at a time (always containing both treatments) and placed them randomly on positions 1-9 marked on the floor in a 3x3 grid, about 3mm from each other. The experiment was performed on two consecutive days. Videos were acquired using a USB camera (FLIR blackfly S BFS-U3-120S4C, Teledyne FLIR) with a high-performance lens (HP Series 25mm Focal Length, Edmund optics 86-572) in OBS studio 29.0.0 \citep{bailey2017obs} at a framerate of 30 FPS and a resolution of 2500x2500 pixels. From each original video (105x105 mm), we generated nine individual videos .mkv (each ~32x32 mm, 770x770 pixels) by determining exact coordinates per container from one frame in GIMP 2.10.36 and cropping of the videos with FFmpeg 6.1.1. Annotation was performed over two consecutive days by three observers who had not been involved in the experimental setup or recording and were unaware of the treatment assignments to ensure bias-free behavioral annotation. They annotated the behavior of the ants during video observations, using custom-made software that saves the start and end frames of behaviors marked in a .csv file (see ''annotations'' folder). In one of the videos, one of the nestmates'' legs got inadvertently stuck to its body surface during the color-coding, interfering with its behavior, so the video was discarded. This left 44 videos from 5 independent setups (n=24 of treatment 1 and n=20 of treatment 2) of 10 minutes each for a total of 792 000 annotated frames (see ''video'' folder). For each video, we provide the following information: the number of the set to which it belongs (1-5); the number of the position within the set reflecting the position of the ant group under the camera (1-9), for which we also provide ‘coordinates’ in the 3x3 grid (taking values -1/0/1 for both X and Y axis); treatment (1 or 2); the hour of the day when the recording was started (in 24h CEST); experimental day (A or B); the top left coordinate of the cropping square from the original video (CropX/CropY); the person annotating the video (given as A, B, C); the date of annotation (1: first day, 2: second day) and in which order the videos were annotated by each person, both reflecting a possible training effect of the person (see ''experiments_settings.csv'' file).' article_processing_charge: No author: - first_name: Riccardo full_name: Cadei, Riccardo id: 0fa8b76f-72f0-11ef-b75a-a5da96e5ad6b last_name: Cadei - first_name: Francesco full_name: Locatello, Francesco id: 26cfd52f-2483-11ee-8040-88983bcc06d4 last_name: Locatello orcid: 0000-0002-4850-0683 - first_name: Sylvia M full_name: Cremer, Sylvia M id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87 last_name: Cremer orcid: 0000-0002-2193-3868 - first_name: Lukas full_name: Lindorfer, Lukas id: 85f0e6d3-06b3-11ec-8982-8c5049fa4455 last_name: Lindorfer - first_name: Cordelia full_name: Schmid, Cordelia last_name: Schmid citation: ama: Cadei R, Locatello F, Cremer S, Lindorfer L, Schmid C. ISTAnt. 2024. doi:10.6084/M9.FIGSHARE.26484934.V2 apa: Cadei, R., Locatello, F., Cremer, S., Lindorfer, L., & Schmid, C. (2024). ISTAnt. Institute of Science and Technology Austria. https://doi.org/10.6084/M9.FIGSHARE.26484934.V2 chicago: Cadei, Riccardo, Francesco Locatello, Sylvia Cremer, Lukas Lindorfer, and Cordelia Schmid. “ISTAnt.” Institute of Science and Technology Austria, 2024. https://doi.org/10.6084/M9.FIGSHARE.26484934.V2. ieee: R. Cadei, F. Locatello, S. Cremer, L. Lindorfer, and C. Schmid, “ISTAnt.” Institute of Science and Technology Austria, 2024. ista: Cadei R, Locatello F, Cremer S, Lindorfer L, Schmid C. 2024. ISTAnt, Institute of Science and Technology Austria, 10.6084/M9.FIGSHARE.26484934.V2. mla: Cadei, Riccardo, et al. ISTAnt. Institute of Science and Technology Austria, 2024, doi:10.6084/M9.FIGSHARE.26484934.V2. short: R. Cadei, F. Locatello, S. Cremer, L. Lindorfer, C. Schmid, (2024). corr_author: '1' date_created: 2025-01-27T11:45:43Z date_published: 2024-10-23T00:00:00Z date_updated: 2026-10-21T10:52:44Z day: '23' ddc: - '570' department: - _id: SyCr - _id: FrLo - _id: GradSch doi: 10.6084/M9.FIGSHARE.26484934.V2 fulldoi: https://doi.org/10.6084/M9.FIGSHARE.26484934.V2 main_file_link: - open_access: '1' url: https://10.6084/M9.FIGSHARE.26484934.V2 month: '10' oa: 1 oa_version: Published Version publisher: Institute of Science and Technology Austria related_material: record: - id: '18847' relation: used_in_publication status: public status: public title: ISTAnt type: research_data_reference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2024' ... --- OA_type: closed access _id: '18171' abstract: - lang: eng text: Defense against pathogens and parasites requires substantial investment of energy and resources on part of the host. This makes the host immune function dependent on availability and accessibility of resources. A resource deprived host is therefore expected to be more susceptible to infections, although empirical results do not always align with this prediction. Limiting host access to resources can additionally impact within-host pathogen numbers, either directly by altering the amount of resources available to the pathogens for proliferation or indirectly by altering the efficiency of the host immune system. We tested for the effects of host starvation (complete deprivation of resources) on susceptibility to bacterial pathogens, and within-host pathogen proliferation, in Drosophila melanogaster females. Our results show that starvation increases post-infection mortality of the host, but in a pathogen-specific manner. This increase in mortality is always accompanied by increased within-host pathogen proliferation. We therefore propose that starvation compromises host resistance to bacterial infections in Drosophila melanogaster females thereby increasing susceptibility to infections. acknowledgement: "The authors thank Tejashwini Hegde for logistical support during execution of the experiments reported here. The authors thank Prof. P. Cornelis (Vrije Universiteit Brussel, Belgium) for providing the Pseudomonas entomophila isolate, Dr. Elio Sucena and Tania Paulo (Instituto Gulbenkian Ciencia, Portugal) for providing the Erwinia c. carotovora, and Prof. Brian Lazzaro (Cornell University, USA) for providing the Enterococcus faecalis and Providencia rettgeri isolates, and Dr. Karan Singh (IISER Mohali, India) for isolating the Staphylococcus succinus isolate used in the experiments. The authors also thank Dr. Manas Geeta Arun for maintenance of the LH fly populations used in this study.\r\nThe study was funded by intra-mural funding from IISER Mohali, India, to NGP. AB was supported by Senior Research Fellowship for PhD students from CSIR, Govt. of India. AS was supported by Senior Research Fellowship for PhD students from UGC, Govt. of India. SS and TM were supported by KVPY fellowships for undergraduate studies from DST, Govt. of India." article_number: '108209' article_processing_charge: No article_type: original author: - first_name: Aabeer full_name: Basu, Aabeer last_name: Basu - first_name: Aparajita full_name: Singh, Aparajita last_name: Singh - first_name: Suhaas full_name: Sehgal, Suhaas last_name: Sehgal - first_name: Tanvi full_name: Madaan, Tanvi id: 419917ac-5355-11ee-ae5a-c952babcaad9 last_name: Madaan - first_name: Nagaraj Guru full_name: Prasad, Nagaraj Guru last_name: Prasad citation: ama: Basu A, Singh A, Sehgal S, Madaan T, Prasad NG. Starvation increases susceptibility to bacterial infection and promotes systemic pathogen proliferation in Drosophila melanogaster females. Journal of Invertebrate Pathology. 2024;207(11). doi:10.1016/j.jip.2024.108209 apa: Basu, A., Singh, A., Sehgal, S., Madaan, T., & Prasad, N. G. (2024). Starvation increases susceptibility to bacterial infection and promotes systemic pathogen proliferation in Drosophila melanogaster females. Journal of Invertebrate Pathology. Elsevier. https://doi.org/10.1016/j.jip.2024.108209 chicago: Basu, Aabeer, Aparajita Singh, Suhaas Sehgal, Tanvi Madaan, and Nagaraj Guru Prasad. “Starvation Increases Susceptibility to Bacterial Infection and Promotes Systemic Pathogen Proliferation in Drosophila Melanogaster Females.” Journal of Invertebrate Pathology. Elsevier, 2024. https://doi.org/10.1016/j.jip.2024.108209. ieee: A. Basu, A. Singh, S. Sehgal, T. Madaan, and N. G. Prasad, “Starvation increases susceptibility to bacterial infection and promotes systemic pathogen proliferation in Drosophila melanogaster females,” Journal of Invertebrate Pathology, vol. 207, no. 11. Elsevier, 2024. ista: Basu A, Singh A, Sehgal S, Madaan T, Prasad NG. 2024. Starvation increases susceptibility to bacterial infection and promotes systemic pathogen proliferation in Drosophila melanogaster females. Journal of Invertebrate Pathology. 207(11), 108209. mla: Basu, Aabeer, et al. “Starvation Increases Susceptibility to Bacterial Infection and Promotes Systemic Pathogen Proliferation in Drosophila Melanogaster Females.” Journal of Invertebrate Pathology, vol. 207, no. 11, 108209, Elsevier, 2024, doi:10.1016/j.jip.2024.108209. short: A. Basu, A. Singh, S. Sehgal, T. Madaan, N.G. Prasad, Journal of Invertebrate Pathology 207 (2024). corr_author: '1' das_tickbox: '1' dataavailabilitystatement: The data associated with this article are available in the Dryad Digital Repository at https://doi.org/10.5061/dryad.pvmcvdnp8 date_created: 2024-10-06T22:01:11Z date_published: 2024-11-01T00:00:00Z date_updated: 2026-10-21T10:43:21Z day: '01' department: - _id: SyCr doi: 10.1016/j.jip.2024.108209 external_id: isi: - '001327816900001' pmid: - '39322010' fulldoi: https://doi.org/10.1016/j.jip.2024.108209 intvolume: ' 207' isi: 1 issue: '11' language: - iso: eng month: '11' oa_version: None pmid: 1 publication: Journal of Invertebrate Pathology publication_identifier: eissn: - 1096-0805 issn: - 0022-2011 publication_status: published publisher: Elsevier quality_controlled: '1' related_material: record: - id: '23180' relation: research_data status: public researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: Starvation increases susceptibility to bacterial infection and promotes systemic pathogen proliferation in Drosophila melanogaster females type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 207 year: '2024' ... --- OA_place: publisher OA_type: hybrid PlanS_conform: '1' _id: '14986' abstract: - lang: eng text: We prove a version of the tamely ramified geometric Langlands correspondence in positive characteristic for GLn(k). Let k be an algebraically closed field of characteristic p>n. Let X be a smooth projective curve over k with marked points, and fix a parabolic subgroup of GLn(k) at each marked point. We denote by Bunn,P the moduli stack of (quasi-)parabolic vector bundles on X, and by Locn,P the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence between the bounded derived category Db(Qcoh(Loc0n,P)) of quasi-coherent sheaves on an open substack Loc0n,P⊂Locn,P, and the bounded derived category Db(D0Bunn,P-mod) of D0Bunn,P-modules, where D0Bunn,P is a localization of DBunn,P the sheaf of crystalline differential operators on Bunn,P. Thus we extend the work of Bezrukavnikov-Braverman to the tamely ramified case. We also prove a correspondence between flat connections on X with regular singularities and meromorphic Higgs bundles on the Frobenius twist X(1) of X with first order poles . acknowledgement: "This work was supported by the NSF [DMS-1502125to S.S.]; and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement [101034413 to S.S.].\r\nI would like to thank my advisor Tom Nevins for many helpful discussions on this subject and for his comments on this paper. I would like to thank Christopher Dodd, Michael Groechenig, and Tamas Hausel for helpful conversations. I would like to thank Tsao-Hsien Chen for useful comments on an earlier version of this paper." article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Shiyu full_name: Shen, Shiyu id: 544cccd3-9005-11ec-87bc-94aef1c5b814 last_name: Shen orcid: 0000-0002-4444-8718 citation: ama: Shen S. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024;2024(7):6176-6208. doi:10.1093/imrn/rnae005 apa: Shen, S. (2024). Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae005 chicago: Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae005. ieee: S. Shen, “Tamely ramified geometric Langlands correspondence in positive characteristic,” International Mathematics Research Notices, vol. 2024, no. 7. Oxford University Press, pp. 6176–6208, 2024. ista: Shen S. 2024. Tamely ramified geometric Langlands correspondence in positive characteristic. International Mathematics Research Notices. 2024(7), 6176–6208. mla: Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive Characteristic.” International Mathematics Research Notices, vol. 2024, no. 7, Oxford University Press, 2024, pp. 6176–208, doi:10.1093/imrn/rnae005. short: S. Shen, International Mathematics Research Notices 2024 (2024) 6176–6208. corr_author: '1' das_tickbox: '0' date_created: 2024-02-14T12:16:17Z date_published: 2024-04-01T00:00:00Z date_updated: 2026-10-21T10:56:48Z day: '01' ddc: - '510' department: - _id: TaHa doi: 10.1093/imrn/rnae005 ec_funded: 1 external_id: arxiv: - '1810.12491' isi: - '001157898100001' file: - access_level: open_access checksum: e3cd31ebb2e79b5b1f34d1c4ac9f5b0f content_type: application/pdf creator: dernst date_created: 2024-07-22T11:41:57Z date_updated: 2024-07-22T11:41:57Z file_id: '17308' file_name: 2024_IMRN_Shen.pdf file_size: 1488981 relation: main_file success: 1 file_date_updated: 2024-07-22T11:41:57Z fulldoi: https://doi.org/10.1093/imrn/rnae005 has_accepted_license: '1' intvolume: ' 2024' isi: 1 issue: '7' keyword: - General Mathematics language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: 6176-6208 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: International Mathematics Research Notices publication_identifier: eissn: - 1687-0247 issn: - 1073-7928 publication_status: published publisher: Oxford University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Tamely ramified geometric Langlands correspondence in positive characteristic tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 2024 year: '2024' ... --- APC_amount: 2742,92 EUR OA_place: publisher OA_type: hybrid _id: '18108' abstract: - lang: eng text: Here we announce the construction and properties of a big commutative subalgebra of the Kirillov algebra attached to a finite dimensional irreducible representation of a complex semisimple Lie group. They are commutative finite flat algebras over the cohomology of the classifying space of the group. They are isomorphic with the equivariant intersection cohomology of affine Schubert varieties, endowing the latter with a new ring structure. Study of the finer aspects of the structure of the big algebras will also furnish the stalks of the intersection cohomology with ring structure, thus ringifying Lusztig’s q-weight multiplicity polynomials i.e., certain affine Kazhdan–Lusztig polynomials. acknowledgement: "We thank Nigel Hitchin for discussions and the joint projects this paper has grown out from. We thank Vladyslav Zveryk for collaboration on Theorem 2.3 and on the corresponding Magma code which implements big algebras. We thank Hiraku Nakajima for discussions and pointing out Theorem 3.1.2, a result generalizing our original observation in the= = 0 case. Special thanks go to Leonid Rybnikov for patiently explaining his works, in particular crucial to Theorem 2.1. We thank Michel Brion, Michael Finkelberg, Oscar García-Prada, Jakub Löwit, Joel Kamnitzer, Friedrich Knop, Michael McBreen, Anton Mellit, Takuro Mochizuki, Shon Ngô, Kamil Rychlewicz, Shiyu Shen, Leslie Spencer, Balázs Szendr ˝ oi, András Szenes, and Oksana\r\nYakimova for comments and discussions. Kamil Rychlewicz and Daniel Bedats helped with the Mathematica files for the figures, and we used the SM_isospin Tikz package of Izaak Neutelings for drawing the baryon multiplets. We thank the referees for many useful comments. We acknowledge funding from FWF grant “Geometry of the tip of the global nilpotent cone” no. P 35847." article_number: e2319341121 article_processing_charge: Yes (in subscription journal) article_type: original author: - first_name: Tamás full_name: Hausel, Tamás id: 4A0666D8-F248-11E8-B48F-1D18A9856A87 last_name: Hausel orcid: 0000-0002-9582-2634 citation: ama: Hausel T. Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America. 2024;121(38). doi:10.1073/pnas.2319341121 apa: Hausel, T. (2024). Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences. https://doi.org/10.1073/pnas.2319341121 chicago: Hausel, Tamás. “Commutative Avatars of Representations of Semisimple Lie Groups.” Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences, 2024. https://doi.org/10.1073/pnas.2319341121. ieee: T. Hausel, “Commutative avatars of representations of semisimple Lie groups,” Proceedings of the National Academy of Sciences of the United States of America, vol. 121, no. 38. National Academy of Sciences, 2024. ista: Hausel T. 2024. Commutative avatars of representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America. 121(38), e2319341121. mla: Hausel, Tamás. “Commutative Avatars of Representations of Semisimple Lie Groups.” Proceedings of the National Academy of Sciences of the United States of America, vol. 121, no. 38, e2319341121, National Academy of Sciences, 2024, doi:10.1073/pnas.2319341121. short: T. Hausel, Proceedings of the National Academy of Sciences of the United States of America 121 (2024). corr_author: '1' das_tickbox: '1' dataavailabilitystatement: "There are no data underlying this work.\r\n" date_created: 2024-09-22T22:01:41Z date_published: 2024-09-17T00:00:00Z date_updated: 2026-10-21T10:58:34Z day: '17' ddc: - '510' department: - _id: TaHa doi: 10.1073/pnas.2319341121 external_id: pmid: - '39259592' file: - access_level: open_access checksum: df80c873633c6734d2e324841e69db58 content_type: application/pdf creator: dernst date_created: 2024-09-23T11:22:56Z date_updated: 2024-09-23T11:22:56Z file_id: '18127' file_name: 2024_PNAS_Hausel.pdf file_size: 3764695 relation: main_file success: 1 file_date_updated: 2024-09-23T11:22:56Z fulldoi: https://doi.org/10.1073/pnas.2319341121 has_accepted_license: '1' intvolume: ' 121' issue: '38' language: - iso: eng month: '09' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3 grant_number: P35847 name: Geometry of the tip of the global nilpotent cone publication: Proceedings of the National Academy of Sciences of the United States of America publication_identifier: eissn: - 1091-6490 publication_status: published publisher: National Academy of Sciences quality_controlled: '1' related_material: link: - relation: press_release url: https://ista.ac.at/en/news/big-algebras-a-dictionary-of-abstract-math/ researchdata_availability: not applicable scopus_import: '1' status: public supplementarymaterial: no title: Commutative avatars of representations of semisimple Lie groups tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 121 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '15248' abstract: - lang: eng text: Applying the technique of p-adic integration, we prove the topological mirror symmetry conjecture of Hausel-Thaddeus for the moduli spaces of (strongly) parabolic Higgs bundles for the structure groups SLn and PGLn, building on previous work of Groechenig-Wyss-Ziegler on the non-parabolic case. We also prove the E-polynomial of the smooth moduli space of parabolic GLn-Higgs bundles is independent of the degree of the underlying vector bundles. acknowledgement: Shiyu Shen has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 101034413. article_number: '109616' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Shiyu full_name: Shen, Shiyu id: 544cccd3-9005-11ec-87bc-94aef1c5b814 last_name: Shen orcid: 0000-0002-4444-8718 citation: ama: Shen S. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 2024;443(5). doi:10.1016/j.aim.2024.109616 apa: Shen, S. (2024). Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109616 chicago: Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109616. ieee: S. Shen, “Mirror symmetry for parabolic Higgs bundles via p-adic integration,” Advances in Mathematics, vol. 443, no. 5. Elsevier, 2024. ista: Shen S. 2024. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 443(5), 109616. mla: Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” Advances in Mathematics, vol. 443, no. 5, 109616, Elsevier, 2024, doi:10.1016/j.aim.2024.109616. short: S. Shen, Advances in Mathematics 443 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-03-31T22:01:11Z date_published: 2024-05-01T00:00:00Z date_updated: 2026-10-21T10:57:12Z day: '01' ddc: - '510' department: - _id: TaHa doi: 10.1016/j.aim.2024.109616 ec_funded: 1 external_id: arxiv: - '2302.02817' isi: - '001216128200001' file: - access_level: open_access checksum: 68f2f08136ccf547891a16a2c0621e97 content_type: application/pdf creator: dernst date_created: 2024-07-22T12:10:03Z date_updated: 2024-07-22T12:10:03Z file_id: '17315' file_name: 2024_AdvancesMath_Shen.pdf file_size: 702889 relation: main_file success: 1 file_date_updated: 2024-07-22T12:10:03Z fulldoi: https://doi.org/10.1016/j.aim.2024.109616 has_accepted_license: '1' intvolume: ' 443' isi: 1 issue: '5' language: - iso: eng month: '05' oa: 1 oa_version: Published Version project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Advances in Mathematics publication_identifier: eissn: - 1090-2082 issn: - 0001-8708 publication_status: published publisher: Elsevier quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Mirror symmetry for parabolic Higgs bundles via p-adic integration tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 443 year: '2024' ... --- OA_place: repository OA_type: green _id: '14930' abstract: - lang: eng text: In this paper we investigate locally free representations of a quiver Q over a commutative Frobenius algebra R by arithmetic Fourier transform. When the base field is finite we prove that the number of isomorphism classes of absolutely indecomposable locally free representations of fixed rank is independent of the orientation of Q. We also prove that the number of isomorphism classes of locally free absolutely indecomposable representations of the preprojective algebra of Q over R equals the number of isomorphism classes of locally free absolutely indecomposable representations of Q over R[t]/(t2). Using these results together with results of Geiss, Leclerc and Schröer we give, when k is algebraically closed, a classification of pairs (Q, R) such that the set of isomorphism classes of indecomposable locally free representations of Q over R is finite. Finally when the representation is free of rank 1 at each vertex of Q, we study the function that counts the number of isomorphism classes of absolutely indecomposable locally free representations of Q over the Frobenius algebra Fq[t]/(tr). We prove that they are polynomial in q and their generating function is rational and satisfies a functional equation. acknowledgement: Special thanks go to Christof Geiss, Bernard Leclerc and Jan Schröer for explaining their work but also for sharing some unpublished results with us. We also thank the referee for many useful suggestions. We would like to thank Tommaso Scognamiglio for pointing out a mistake in the proof of Proposition 5.17 in an earlier version of the paper. We would like also to thank Alexander Beilinson, Bill Crawley-Boevey, Joel Kamnitzer, and Peng Shan for useful discussions. article_number: '20' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Tamás full_name: Hausel, Tamás id: 4A0666D8-F248-11E8-B48F-1D18A9856A87 last_name: Hausel orcid: 0000-0002-9582-2634 - first_name: Emmanuel full_name: Letellier, Emmanuel last_name: Letellier - first_name: Fernando full_name: Rodriguez-Villegas, Fernando last_name: Rodriguez-Villegas citation: ama: Hausel T, Letellier E, Rodriguez-Villegas F. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00914-2 apa: Hausel, T., Letellier, E., & Rodriguez-Villegas, F. (2024). Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. Springer Nature. https://doi.org/10.1007/s00029-023-00914-2 chicago: Hausel, Tamás, Emmanuel Letellier, and Fernando Rodriguez-Villegas. “Locally Free Representations of Quivers over Commutative Frobenius Algebras.” Selecta Mathematica. Springer Nature, 2024. https://doi.org/10.1007/s00029-023-00914-2. ieee: T. Hausel, E. Letellier, and F. Rodriguez-Villegas, “Locally free representations of quivers over commutative Frobenius algebras,” Selecta Mathematica, vol. 30, no. 2. Springer Nature, 2024. ista: Hausel T, Letellier E, Rodriguez-Villegas F. 2024. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 30(2), 20. mla: Hausel, Tamás, et al. “Locally Free Representations of Quivers over Commutative Frobenius Algebras.” Selecta Mathematica, vol. 30, no. 2, 20, Springer Nature, 2024, doi:10.1007/s00029-023-00914-2. short: T. Hausel, E. Letellier, F. Rodriguez-Villegas, Selecta Mathematica 30 (2024). das_tickbox: '0' date_created: 2024-02-04T23:00:53Z date_published: 2024-01-27T00:00:00Z date_updated: 2026-10-21T10:55:40Z day: '27' department: - _id: TaHa doi: 10.1007/s00029-023-00914-2 external_id: arxiv: - '1810.01818' isi: - '001150684300001' fulldoi: https://doi.org/10.1007/s00029-023-00914-2 intvolume: ' 30' isi: 1 issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.1810.01818 month: '01' oa: 1 oa_version: Preprint publication: Selecta Mathematica publication_identifier: eissn: - 1420-9020 issn: - 1022-1824 publication_status: published publisher: Springer Nature quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Locally free representations of quivers over commutative Frobenius algebras type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 30 year: '2024' ... --- _id: '15339' abstract: - lang: eng text: We define even very stable Higgs bundles and study the Hitchin map restricted to their upward flows. In the GLn case, we classify the type (1,…,1) examples, and find that they are governed by a root system formed by the roots of even height. We discuss how the spectrum of equivariant cohomology of real and quaternionic Grassmannians, 4n-spheres and the real Cayley plane appear to describe the Hitchin map on even cominuscule upward flows. The even upward flows in question are the same as upward flows in Higgs bundle moduli spaces for quasi-split inner real forms. The latter spaces have been pioneered by Oscar García-Prada and his collaborators. acknowledgement: Most of the research for this paper was done when the first author visited the second author's group at IST Austria as a summer intern in 2022. The second author was supported by an FWF grant "Geometry of the top of the nilpotent cone" number P35847. article_number: '2441009' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Miguel full_name: González, Miguel last_name: González - first_name: Tamás full_name: Hausel, Tamás id: 4A0666D8-F248-11E8-B48F-1D18A9856A87 last_name: Hausel orcid: 0000-0002-9582-2634 citation: ama: González M, Hausel T. Hitchin map on even very stable upward flows. International Journal of Mathematics. 2024;35(09). doi:10.1142/S0129167X2441009X apa: González, M., & Hausel, T. (2024). Hitchin map on even very stable upward flows. International Journal of Mathematics. World Scientific Publishing. https://doi.org/10.1142/S0129167X2441009X chicago: González, Miguel, and Tamás Hausel. “Hitchin Map on Even Very Stable Upward Flows.” International Journal of Mathematics. World Scientific Publishing, 2024. https://doi.org/10.1142/S0129167X2441009X. ieee: M. González and T. Hausel, “Hitchin map on even very stable upward flows,” International Journal of Mathematics, vol. 35, no. 09. World Scientific Publishing, 2024. ista: González M, Hausel T. 2024. Hitchin map on even very stable upward flows. International Journal of Mathematics. 35(09), 2441009. mla: González, Miguel, and Tamás Hausel. “Hitchin Map on Even Very Stable Upward Flows.” International Journal of Mathematics, vol. 35, no. 09, 2441009, World Scientific Publishing, 2024, doi:10.1142/S0129167X2441009X. short: M. González, T. Hausel, International Journal of Mathematics 35 (2024). das_tickbox: '0' date_created: 2024-04-21T22:00:54Z date_published: 2024-04-04T00:00:00Z date_updated: 2026-10-21T10:57:37Z day: '04' department: - _id: TaHa doi: 10.1142/S0129167X2441009X external_id: arxiv: - '2303.01404' isi: - '001251179200003' fulldoi: https://doi.org/10.1142/S0129167X2441009X intvolume: ' 35' isi: 1 issue: '09' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2303.01404 month: '04' oa: 1 oa_version: Preprint project: - _id: 34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3 grant_number: P35847 name: Geometry of the tip of the global nilpotent cone publication: International Journal of Mathematics publication_identifier: eissn: - 1793-6519 issn: - 0129-167X publication_status: published publisher: World Scientific Publishing quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Hitchin map on even very stable upward flows type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 35 year: '2024' ... --- OA_place: publisher OA_type: hybrid _id: '18970' abstract: - lang: eng text: Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to C. The first is the moduli space of Higgs bundles on C of rank n, which is equipped with the structure of an algebraic completely integrable Hamiltonian system. The second is the character variety of representations of the fundamental group of C into GL(n). In 2012, de Cataldo, Hausel, and Migliorini [1] proposed the P=W conjecture which identifies the perverse filtration on the cohomology of the Higgs moduli space with the weight filtration on the cohomology of the character variety. Recently, in 2022, two independent proofs of the P=W Conjecture appeared, in work of Maulik &Shen [2] and Hausel, Mellit, Minets &Schiffmann [6]. The aim of the Arbeitsgemeinschaft was to understand the P=W Conjecture and these two recent proofs. acknowledgement: "The MFO and the workshop organizers would like to thank the\r\nNational Science Foundation for supporting the participation of junior researchers\r\nby the grant DMS-2230648, “US Junior Oberwolfach Fellows”. Moreover, the\r\nMFO and the workshop organizers would like to thank the Oberwolfach Foundation for supporting the participation of junior researchers in the Arbeitsgemeinschaft." article_processing_charge: No article_type: original author: - first_name: Tamás full_name: Hausel, Tamás id: 4A0666D8-F248-11E8-B48F-1D18A9856A87 last_name: Hausel orcid: 0000-0002-9582-2634 - first_name: Davesh full_name: Maulik, Davesh last_name: Maulik - first_name: Anton full_name: Mellit, Anton last_name: Mellit - first_name: Olivier full_name: Schiffmann, Olivier last_name: Schiffmann - first_name: Junliang full_name: Shen, Junliang last_name: Shen citation: ama: 'Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. 2024;21(2):949-1004. doi:10.4171/owr/2024/16' apa: 'Hausel, T., Maulik, D., Mellit, A., Schiffmann, O., & Shen, J. (2024). Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. EMS Press. https://doi.org/10.4171/owr/2024/16' chicago: 'Hausel, Tamás, Davesh Maulik, Anton Mellit, Olivier Schiffmann, and Junliang Shen. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture.” Oberwolfach Reports. EMS Press, 2024. https://doi.org/10.4171/owr/2024/16.' ieee: 'T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, and J. Shen, “Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture,” Oberwolfach Reports, vol. 21, no. 2. EMS Press, pp. 949–1004, 2024.' ista: 'Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. 2024. Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture. Oberwolfach Reports. 21(2), 949–1004.' mla: 'Hausel, Tamás, et al. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture.” Oberwolfach Reports, vol. 21, no. 2, EMS Press, 2024, pp. 949–1004, doi:10.4171/owr/2024/16.' short: T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, J. Shen, Oberwolfach Reports 21 (2024) 949–1004. das_tickbox: '0' date_created: 2025-01-29T15:34:22Z date_published: 2024-05-05T00:00:00Z date_updated: 2026-10-21T10:59:57Z day: '05' ddc: - '500' department: - _id: TaHa doi: 10.4171/owr/2024/16 fulldoi: https://doi.org/10.4171/owr/2024/16 has_accepted_license: '1' intvolume: ' 21' issue: '2' language: - iso: eng license: https://creativecommons.org/licenses/by-sa/4.0/ main_file_link: - open_access: '1' url: https://doi.org/10.4171/owr/2024/16 month: '05' oa: 1 oa_version: Published Version page: 949-1004 publication: Oberwolfach Reports publication_identifier: eissn: - 1660-8941 issn: - 1660-8933 publication_status: published publisher: EMS Press quality_controlled: '1' researchdata_availability: no status: public supplementarymaterial: no title: 'Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture' tmp: image: /images/cc_by_sa.png legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) short: CC BY-SA (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 21 year: '2024' ... --- OA_place: repository OA_type: green _id: '17292' abstract: - lang: eng text: The Gibbons-Hawking ansatz provides a large family of circle-invariant hyperkähler 4-manifolds, and thus Calabi-Yau 2-folds. In this setting, we prove versions of the Thomas conjecture on existence of special Lagrangian representatives of Hamiltonian isotopy classes of Lagrangians, and the Thomas-Yau conjecture on longtime existence of the Lagrangian mean curvature ow. We also make observations concerning closed geodesics, curve shortening flow and minimal surfaces. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Jason D. full_name: Lotay, Jason D. last_name: Lotay - first_name: Goncalo full_name: Oliveira, Goncalo id: 58abbde8-f455-11eb-a497-98c8fd71b905 last_name: Oliveira citation: ama: Lotay JD, Oliveira G. Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. 2024;126(3):1121-1184. doi:10.4310/jdg/1717348872 apa: Lotay, J. D., & Oliveira, G. (2024). Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. International Press of Boston. https://doi.org/10.4310/jdg/1717348872 chicago: Lotay, Jason D., and Goncalo Oliveira. “Special Lagrangians, Lagrangian Mean Curvature Flow and the Gibbons-Hawking Ansatz.” Journal of Differential Geometry. International Press of Boston, 2024. https://doi.org/10.4310/jdg/1717348872. ieee: J. D. Lotay and G. Oliveira, “Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz,” Journal of Differential Geometry, vol. 126, no. 3. International Press of Boston, pp. 1121–1184, 2024. ista: Lotay JD, Oliveira G. 2024. Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz. Journal of Differential Geometry. 126(3), 1121–1184. mla: Lotay, Jason D., and Goncalo Oliveira. “Special Lagrangians, Lagrangian Mean Curvature Flow and the Gibbons-Hawking Ansatz.” Journal of Differential Geometry, vol. 126, no. 3, International Press of Boston, 2024, pp. 1121–84, doi:10.4310/jdg/1717348872. short: J.D. Lotay, G. Oliveira, Journal of Differential Geometry 126 (2024) 1121–1184. corr_author: '1' das_tickbox: '1' date_created: 2024-07-22T07:45:31Z date_published: 2024-03-01T00:00:00Z date_updated: 2026-10-21T10:54:05Z day: '01' department: - _id: TaHa doi: 10.4310/jdg/1717348872 external_id: arxiv: - '2002.10391' isi: - '001271790200007' fulldoi: https://doi.org/10.4310/jdg/1717348872 intvolume: ' 126' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2002.10391 month: '03' oa: 1 oa_version: Preprint page: 1121-1184 publication: Journal of Differential Geometry publication_identifier: issn: - 0022-040X publication_status: published publisher: International Press of Boston quality_controlled: '1' researchdata_availability: unclear scopus_import: '1' status: public supplementarymaterial: unclear title: Special Lagrangians, Lagrangian mean curvature flow and the Gibbons-Hawking ansatz type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 126 year: '2024' ... --- OA_place: publisher _id: '17156' abstract: - lang: eng text: "This dissertation is the summary of the author’s work, concerning the relations between\r\ncohomology rings of algebraic varieties and rings of functions on zero schemes and fixed\r\npoint schemes. For most of the thesis, the focus is on smooth complex varieties with\r\nan action of a principally paired group, e.g. a parabolic subgroup of a reductive group.\r\nThe fundamental theorem 5.2.11 from co-authored article [66] says that if the principal\r\nnilpotent has a unique zero, then the zero scheme over the Kostant section is isomorphic\r\nto the spectrum of the equivariant cohomology ring, remembering the grading in terms of\r\na C^* action. A similar statement is proved also for the G-invariant functions on the total\r\nzero scheme over the whole Lie algebra. Additionally, we are able to prove an analogous\r\nresult for the GKM spaces, which poses the question on a joint generalisation.\r\nWe also tackle the situation of a singular variety. As long as it is embedded in a smooth\r\nvariety with regular action, we are able to study its cohomology as well by means of\r\nthe zero scheme. In case of e.g. Schubert varieties this determines the cohomology ring\r\ncompletely. In largest generality, this allows us to see a significant part of the cohomology\r\nring.\r\nWe also show (Theorem 6.2.1) that the cohomology ring of spherical varieties appears as\r\nthe ring of functions on the zero scheme. The computational aspect is not easy, but one\r\ncan hope that this can bring some concrete information about such cohomology rings.\r\nLastly, the K-theory conjecture 6.3.1 is studied, with some results attained for GKM\r\nspaces.\r\nThe thesis includes also an introduction to group actions on algebraic varieties. In\r\nparticular, the vector fields associated to the actions are extensively studied. We also\r\nprovide a version of the Kostant section for arbitrary principally paired group, which\r\nparametrises the regular orbits in the Lie algebra of an algebraic group. Before proving\r\nthe main theorem, we also include a historical overview of the field. In particular we bring\r\ntogether the results of Akyildiz, Carrell and Lieberman on non-equivariant cohomology\r\nrings." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Kamil P full_name: Rychlewicz, Kamil P id: 85A07246-A8BF-11E9-B4FA-D9E3E5697425 last_name: Rychlewicz citation: ama: Rychlewicz KP. Equivariant cohomology and rings of functions. 2024. doi:10.15479/at:ista:17156 apa: Rychlewicz, K. P. (2024). Equivariant cohomology and rings of functions. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:17156 chicago: Rychlewicz, Kamil P. “Equivariant Cohomology and Rings of Functions.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:17156. ieee: K. P. Rychlewicz, “Equivariant cohomology and rings of functions,” Institute of Science and Technology Austria, 2024. ista: Rychlewicz KP. 2024. Equivariant cohomology and rings of functions. Institute of Science and Technology Austria. mla: Rychlewicz, Kamil P. Equivariant Cohomology and Rings of Functions. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:17156. short: K.P. Rychlewicz, Equivariant Cohomology and Rings of Functions, Institute of Science and Technology Austria, 2024. corr_author: '1' das_tickbox: '0' date_created: 2024-06-23T15:07:06Z date_published: 2024-06-25T00:00:00Z date_updated: 2026-10-21T11:00:25Z day: '25' ddc: - '516' degree_awarded: PhD department: - _id: TaHa - _id: GradSch doi: 10.15479/at:ista:17156 doi_confirm: '1' file: - access_level: closed checksum: 1610063569f5452f8a5acef728c2fc26 content_type: application/zip creator: krychlew date_created: 2024-06-26T20:56:27Z date_updated: 2024-06-26T21:00:14Z file_id: '17179' file_name: thesis.zip file_size: 2761814 relation: source_file - access_level: open_access checksum: 7bbadb1fbc9ed2a1ecf54597f88af99c content_type: application/pdf creator: krychlew date_created: 2024-06-26T20:58:24Z date_updated: 2024-06-26T20:58:24Z file_id: '17180' file_name: thesis.pdf file_size: 3695952 relation: main_file file_date_updated: 2024-06-26T21:00:14Z fulldoi: https://doi.org/10.15479/at:ista:17156 has_accepted_license: '1' keyword: - equivariant cohomology - zero schemes - algebraic groups - Lie algebras language: - iso: eng license: https://creativecommons.org/licenses/by-nc-sa/4.0/ month: '06' oa: 1 oa_version: Published Version page: '117' project: - _id: 34cd0f74-11ca-11ed-8bc3-bf0492a14a24 grant_number: '26525' name: Topology of open smooth varieties with a torus action publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '17157' relation: part_of_dissertation status: public researchdata_availability: no status: public supervisor: - first_name: Tamás full_name: Hausel, Tamás id: 4A0666D8-F248-11E8-B48F-1D18A9856A87 last_name: Hausel orcid: 0000-0002-9582-2634 supplementarymaterial: no title: Equivariant cohomology and rings of functions tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: dissertation user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2024' ... --- _id: '17127' abstract: - lang: eng text: "Let P(x)∈Z[x] be a polynomial with at least two distinct complex roots. We prove that the number of solutions (x1,…,xk,y1,…,yk)∈[N]2k to the equation\r\n∏1≤i≤kP(xi)=∏1≤j≤kP(yj)≠0\r\n(for any k≥1 ) is asymptotically k!Nk as N→+∞. This solves a question first proposed and studied by Najnudel. The result can also be interpreted as saying that all even moments of random partial sums 1N√∑n≤Nf(P(n)) match standard complex Gaussian moments as N→+∞\r\n , where f is the Steinhaus random multiplicative function." acknowledgement: 'We thank Oleksiy Klurman, Ilya Shkredov, and Igor Shparlinski for helpful comments on earlier versions of the paper, and thank Yotam Hendel for providing a reference for Lemma 2.1. We also thank the anonymous referee for their generous corrections and comments. The first author has received funding from the European Union''s Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie Grant Agreement Number: 101034413. The second author is partially supported by the Cuthbert C. Hurd Graduate Fellowship in the Mathematical Sciences, Stanford.' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Victor full_name: Wang, Victor id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9 last_name: Wang orcid: 0000-0002-0704-7026 - first_name: Max Wenqiang full_name: Xu, Max Wenqiang last_name: Xu citation: ama: Wang V, Xu MW. Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. 2024;56(8):2718-2726. doi:10.1112/blms.13095 apa: Wang, V., & Xu, M. W. (2024). Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.13095 chicago: Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.” Bulletin of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/blms.13095. ieee: V. Wang and M. W. Xu, “Paucity phenomena for polynomial products,” Bulletin of the London Mathematical Society, vol. 56, no. 8. London Mathematical Society, pp. 2718–2726, 2024. ista: Wang V, Xu MW. 2024. Paucity phenomena for polynomial products. Bulletin of the London Mathematical Society. 56(8), 2718–2726. mla: Wang, Victor, and Max Wenqiang Xu. “Paucity Phenomena for Polynomial Products.” Bulletin of the London Mathematical Society, vol. 56, no. 8, London Mathematical Society, 2024, pp. 2718–26, doi:10.1112/blms.13095. short: V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726. das_tickbox: '0' date_created: 2024-06-09T22:01:03Z date_published: 2024-08-01T00:00:00Z date_updated: 2026-10-21T11:01:07Z day: '01' ddc: - '512' department: - _id: TiBr doi: 10.1112/blms.13095 ec_funded: 1 external_id: arxiv: - '2211.02908' isi: - '001235729900001' file: - access_level: open_access checksum: ae386a4031856efac23c7cdcb53b559b content_type: application/pdf creator: vwang date_created: 2024-08-20T08:36:32Z date_updated: 2024-08-20T08:36:32Z file_id: '17446' file_name: Paucity_phenomena_for_polynomial_products__Wang_Xu_ (7).pdf file_size: 331775 relation: main_file success: 1 file_date_updated: 2024-08-20T08:36:32Z fulldoi: https://doi.org/10.1112/blms.13095 has_accepted_license: '1' intvolume: ' 56' isi: 1 issue: '8' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2211.02908 month: '08' oa: 1 oa_version: Submitted Version page: 2718-2726 project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Bulletin of the London Mathematical Society publication_identifier: eissn: - 1469-2120 issn: - 0024-6093 publication_status: published publisher: London Mathematical Society quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Paucity phenomena for polynomial products type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 56 year: '2024' ... --- _id: '10018' abstract: - lang: eng text: In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines. acknowledgement: The first author was partly supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft. The second author was partly supported by FWF grant P 32428-N35 and conducted part of this work as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Ulrich full_name: Derenthal, Ulrich last_name: Derenthal - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2024;23(3):1259-1294. doi:10.1017/S1474748022000482 apa: Derenthal, U., & Wilsch, F. A. (2024). Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748022000482 chicago: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2024. https://doi.org/10.1017/S1474748022000482. ieee: U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3. Cambridge University Press, pp. 1259–1294, 2024. ista: Derenthal U, Wilsch FA. 2024. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 23(3), 1259–1294. mla: Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3, Cambridge University Press, 2024, pp. 1259–94, doi:10.1017/S1474748022000482. short: U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294. corr_author: '1' das_tickbox: '0' date_created: 2021-09-15T10:06:48Z date_published: 2024-05-10T00:00:00Z date_updated: 2026-10-21T11:00:50Z day: '10' ddc: - '510' department: - _id: TiBr doi: 10.1017/S1474748022000482 external_id: arxiv: - '2109.06778' isi: - '000881319200001' file: - access_level: open_access checksum: c4698ea12cfe10ef2c6c79880290c7ac content_type: application/pdf creator: dernst date_created: 2024-06-03T08:33:29Z date_updated: 2024-06-03T08:33:29Z file_id: '17102' file_name: 2024_JourMathJussieu_Derenthal.pdf file_size: 592305 relation: main_file success: 1 file_date_updated: 2024-06-03T08:33:29Z fulldoi: https://doi.org/10.1017/S1474748022000482 has_accepted_license: '1' intvolume: ' 23' isi: 1 issue: '3' keyword: - Integral points - del Pezzo surface - universal torsor - Manin’s conjecture language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 1259-1294 project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Journal of the Institute of Mathematics of Jussieu publication_identifier: eissn: - '1475-3030 ' issn: - 1474-7480 publication_status: published publisher: Cambridge University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Integral points on singular del Pezzo surfaces tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 23 year: '2024' ... --- _id: '12312' abstract: - lang: eng text: "Let $\\ell$ be a prime number. We classify the subgroups $G$ of $\\operatorname{Sp}_4(\\mathbb{F}_\\ell)$ and $\\operatorname{GSp}_4(\\mathbb{F}_\\ell)$ that act irreducibly on $\\mathbb{F}_\\ell^4$, but such that every element of $G$ fixes an $\\mathbb{F}_\\ell$-vector subspace of dimension 1. We use this classification to prove that the local-global principle for isogenies of degree $\\ell$ between abelian surfaces over number fields holds in many cases -- in particular, whenever the abelian surface has non-trivial endomorphisms and $\\ell$ is large enough with respect to the field of definition. Finally, we prove that there exist arbitrarily large primes $\\ell$ for which some abelian surface\r\n$A/\\mathbb{Q}$ fails the local-global principle for isogenies of degree $\\ell$." acknowledgement: "It is a pleasure to thank Samuele Anni for his interest in this project and for several discussions on the topic of this paper, which led in particular to Remark 6.30 and to a better understanding of the difficulties with [6]. We also thank John Cullinan for correspondence about [6] and Barinder Banwait for his many insightful comments on the first version of this paper. Finally, we thank the referee for their thorough reading of the manuscript.\r\nOpen access funding provided by Università di Pisa within the CRUI-CARE Agreement. The authors have been partially supported by MIUR (Italy) through PRIN 2017 “Geometric, algebraic and analytic methods in arithmetic\" and PRIN 2022 “Semiabelian varieties, Galois representations and related Diophantine problems\", and by the University of Pisa through PRA 2018-19 and 2022 “Spazi di moduli, rappresentazioni e strutture combinatorie\". The first author is a member of the INdAM group GNSAGA." article_number: '18' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Davide full_name: Lombardo, Davide last_name: Lombardo - first_name: Matteo full_name: Verzobio, Matteo id: 7aa8f170-131e-11ed-88e1-a9efd01027cb last_name: Verzobio orcid: 0000-0002-0854-0306 citation: ama: Lombardo D, Verzobio M. On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00908-0 apa: Lombardo, D., & Verzobio, M. (2024). On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. Springer Nature. https://doi.org/10.1007/s00029-023-00908-0 chicago: Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies of Abelian Surfaces.” Selecta Mathematica. Springer Nature, 2024. https://doi.org/10.1007/s00029-023-00908-0. ieee: D. Lombardo and M. Verzobio, “On the local-global principle for isogenies of abelian surfaces,” Selecta Mathematica, vol. 30, no. 2. Springer Nature, 2024. ista: Lombardo D, Verzobio M. 2024. On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. 30(2), 18. mla: Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies of Abelian Surfaces.” Selecta Mathematica, vol. 30, no. 2, 18, Springer Nature, 2024, doi:10.1007/s00029-023-00908-0. short: D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024). corr_author: '1' das_tickbox: '0' date_created: 2023-01-16T11:45:53Z date_published: 2024-01-26T00:00:00Z date_updated: 2026-10-21T11:01:56Z day: '26' ddc: - '510' department: - _id: TiBr doi: 10.1007/s00029-023-00908-0 external_id: arxiv: - '2206.15240' isi: - '001148959100001' file: - access_level: open_access checksum: ae75441420aabd80c5828bce38272ba1 content_type: application/pdf creator: dernst date_created: 2024-07-22T09:33:58Z date_updated: 2024-07-22T09:33:58Z file_id: '17298' file_name: 2024_SelectaMath_Lombardo.pdf file_size: 1301415 relation: main_file success: 1 file_date_updated: 2024-07-22T09:33:58Z fulldoi: https://doi.org/10.1007/s00029-023-00908-0 has_accepted_license: '1' intvolume: ' 30' isi: 1 issue: '2' language: - iso: eng month: '01' oa: 1 oa_version: Published Version publication: Selecta Mathematica publication_identifier: eissn: - 1420-9020 issn: - 1022-1824 publication_status: published publisher: Springer Nature quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: On the local-global principle for isogenies of abelian surfaces tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 30 year: '2024' ... --- _id: '17447' abstract: - lang: eng text: Let F be a diagonal cubic form over Z in six variables. From the dual variety in the delta method of Duke–Friedlander–Iwaniec and Heath‐Brown, we unconditionally extract a weighted count of certain special integral zeros of F in regions of diameter X - 8 . Heath‐Brown did the same in four variables, but our analysis differs and captures some novel features. We also put forth an axiomatic framework for more general F. acknowledgement: This paper is an important component of the thesis work described in [25]; many of my acknowledgements there apply here as well. I also thank my advisor, Peter Sarnak, for many helpful suggestions and questions on the exposition, references, assumptions, and scope of (various drafts of) the present work. I am also grateful to Trevor Wooley for providing some helpful general comments on special subvarieties and the reference [24]. I thank Tim Browning for inspiring part of the current title of the paper. Finally, thanks are due to the referee for providing many helpful suggestions. This work was partially supported by NSF grant DMS-1802211, and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant AgreementNo. 101034413. article_number: e12975 article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Victor full_name: Wang, Victor id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9 last_name: Wang orcid: 0000-0002-0704-7026 citation: ama: Wang V. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 2024;110(3). doi:10.1112/jlms.12975 apa: Wang, V. (2024). Special cubic zeros and the dual variety. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.12975 chicago: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/jlms.12975. ieee: V. Wang, “Special cubic zeros and the dual variety,” Journal of the London Mathematical Society, vol. 110, no. 3. Wiley, 2024. ista: Wang V. 2024. Special cubic zeros and the dual variety. Journal of the London Mathematical Society. 110(3), e12975. mla: Wang, Victor. “Special Cubic Zeros and the Dual Variety.” Journal of the London Mathematical Society, vol. 110, no. 3, e12975, Wiley, 2024, doi:10.1112/jlms.12975. short: V. Wang, Journal of the London Mathematical Society 110 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-08-20T08:41:40Z date_published: 2024-08-14T00:00:00Z date_updated: 2026-10-21T11:01:20Z day: '14' ddc: - '512' department: - _id: TiBr doi: 10.1112/jlms.12975 ec_funded: 1 external_id: arxiv: - '2108.03396' isi: - '001310529600001' file: - access_level: open_access checksum: 90437e19f57520b4d66ca62408f6c81e content_type: application/pdf creator: dernst date_created: 2024-08-21T06:36:40Z date_updated: 2024-08-21T06:36:40Z file_id: '17454' file_name: 2024_JourLondonMathSoc_Wang.pdf file_size: 438751 relation: main_file success: 1 file_date_updated: 2024-08-21T06:36:40Z fulldoi: https://doi.org/10.1112/jlms.12975 has_accepted_license: '1' intvolume: ' 110' isi: 1 issue: '3' language: - iso: eng month: '08' oa: 1 oa_version: Published Version project: - _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c call_identifier: H2020 grant_number: '101034413' name: 'IST-BRIDGE: International postdoctoral program' publication: Journal of the London Mathematical Society publication_identifier: eissn: - 1469-7750 issn: - 0024-6107 publication_status: published publisher: Wiley quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Special cubic zeros and the dual variety tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 110 year: '2024' ... --- _id: '18173' abstract: - lang: eng text: Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t), provided char (Fq)>3. Under the same hypotheses, we also verify weak approximation. acknowledgement: The author would like to thank his supervisor Tim Browning for suggesting this project and many helpful conversations and Pankaj Vishe for useful comments. Moreover, he is grateful to Dante Bonolis and Julian Lyczak for sharing their expertise in exponential sums and geometry. While working on this paper, the author was supported by FWF grant (DOI 10.55776/P36278). article_number: e12991 article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Jakob full_name: Glas, Jakob id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb last_name: Glas citation: ama: Glas J. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 2024;110(4). doi:10.1112/jlms.12991 apa: Glas, J. (2024). Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/jlms.12991 chicago: Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society. London Mathematical Society, 2024. https://doi.org/10.1112/jlms.12991. ieee: J. Glas, “Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t),” Journal of the London Mathematical Society, vol. 110, no. 4. London Mathematical Society, 2024. ista: Glas J. 2024. Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t). Journal of the London Mathematical Society. 110(4), e12991. mla: Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society, vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:10.1112/jlms.12991. short: J. Glas, Journal of the London Mathematical Society 110 (2024). corr_author: '1' das_tickbox: '0' date_created: 2024-10-06T22:01:11Z date_published: 2024-10-01T00:00:00Z date_updated: 2026-10-21T11:02:12Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1112/jlms.12991 external_id: arxiv: - '2306.02718' file: - access_level: open_access checksum: 11ebf690363151026ce81f91f2220855 content_type: application/pdf creator: dernst date_created: 2024-10-07T08:51:01Z date_updated: 2024-10-07T08:51:01Z file_id: '18181' file_name: 2024_JLondonMathSoc_Glas.pdf file_size: 579601 relation: main_file success: 1 file_date_updated: 2024-10-07T08:51:01Z fulldoi: https://doi.org/10.1112/jlms.12991 has_accepted_license: '1' intvolume: ' 110' issue: '4' language: - iso: eng month: '10' oa: 1 oa_version: Published Version project: - _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3 grant_number: P36278 name: Rational curves via function field analytic number theory publication: Journal of the London Mathematical Society publication_identifier: eissn: - 1469-7750 issn: - 0024-6107 publication_status: published publisher: London Mathematical Society quality_controlled: '1' related_material: record: - id: '18132' relation: dissertation_contains status: public researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t) tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 110 year: '2024' ... --- OA_place: publisher _id: '18132' abstract: - lang: eng text: "In this thesis, we are dealing with both arithmetic and geometric problems coming from the\r\nstudy of rational points with a particular focus on function fields over finite fields:\r\n(1) Using the circle method we produce upper bounds for the number of rational points of\r\nbounded height on diagonal cubic surfaces and fourfolds over Fq(t). This is based on\r\njoint work with Leonhard Hochfilzer.\r\n(2) We study rational points on smooth complete intersections X defined by cubic and\r\nquadratic hypersurfaces over Fq(t). We refine the Farey dissection of the “unit square”\r\ndeveloped by Vishe [202] and use the circle method with a Kloosterman refinement to\r\nestablish an asymptotic formula for the number of rational points of bounded height on\r\nX when dim(X) ≥ 23. Under the same hypotheses, we also verify weak approximation.\r\n(3) In joint work with Hochfilzer, we obtain upper bounds for the number of rational points of\r\nbounded height on del Pezzo surfaces of low degree over any global field. Our approach\r\nis to take hyperplane sections, which reduces the problem to uniform estimates for the\r\nnumber of rational points on curves.\r\n(4) We develop a version of the circle method capable of counting Fq-points on jet schemes\r\nof moduli spaces of rational curves on hypersurfaces. Combining this with a spreading\r\nout argument and a result of Mustaţă [150], this allows us to show that these moduli\r\nspaces only have canonical singularities under suitable assumptions on the degree and the\r\ndimension.\r\nIn addition, we give an overview of guiding questions and conjectures in the field of rational\r\npoints and explain the basic mechanism underlying the circle method.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Jakob full_name: Glas, Jakob id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb last_name: Glas citation: ama: Glas J. Counting rational points over function fields. 2024. doi:10.15479/at:ista:18132 apa: Glas, J. (2024). Counting rational points over function fields. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18132 chicago: Glas, Jakob. “Counting Rational Points over Function Fields.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:18132. ieee: J. Glas, “Counting rational points over function fields,” Institute of Science and Technology Austria, 2024. ista: Glas J. 2024. Counting rational points over function fields. Institute of Science and Technology Austria. mla: Glas, Jakob. Counting Rational Points over Function Fields. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18132. short: J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024. corr_author: '1' das_tickbox: '0' date_created: 2024-09-23T18:58:08Z date_published: 2024-09-23T00:00:00Z date_updated: 2026-10-21T11:02:28Z day: '23' ddc: - '512' degree_awarded: PhD department: - _id: GradSch - _id: TiBr doi: 10.15479/at:ista:18132 doi_confirm: '1' file: - access_level: closed checksum: 2f8cf5cefdab108b1979caa8146cae9a content_type: application/x-zip-compressed creator: jglas date_created: 2024-09-23T18:49:22Z date_updated: 2024-09-23T18:49:22Z file_id: '18133' file_name: PhDthesis (3).zip file_size: 5382106 relation: source_file - access_level: open_access checksum: 08bb6f14c42b47ff25882a2ce3ea0d8a content_type: application/pdf creator: jglas date_created: 2024-09-25T14:08:57Z date_updated: 2024-09-25T14:08:57Z file_id: '18140' file_name: example-phd.pdf file_size: 2380127 relation: main_file success: 1 file_date_updated: 2024-09-25T14:08:57Z fulldoi: https://doi.org/10.15479/at:ista:18132 has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc/4.0/ month: '09' oa: 1 oa_version: Published Version page: '195' project: - _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3 grant_number: P36278 name: Rational curves via function field analytic number theory publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '18294' relation: part_of_dissertation status: public - id: '18293' relation: part_of_dissertation status: public - id: '18173' relation: part_of_dissertation status: public - id: '18295' relation: part_of_dissertation status: public researchdata_availability: no status: public supervisor: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 supplementarymaterial: no title: Counting rational points over function fields tmp: image: /images/cc_by_nc.png legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) short: CC BY-NC (4.0) type: dissertation user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2024' ...