[{"oa_version":"Published Version","citation":{"ama":"Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. Statistical modeling of adaptive neural networks explains co-existence of avalanches and oscillations in resting human brain. Nature Computational Science. 2023;3:254-263. doi:10.1038/s43588-023-00410-9","ieee":"F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, and D. De Martino, “Statistical modeling of adaptive neural networks explains co-existence of avalanches and oscillations in resting human brain,” Nature Computational Science, vol. 3. Springer Nature, pp. 254–263, 2023.","ista":"Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. 2023. Statistical modeling of adaptive neural networks explains co-existence of avalanches and oscillations in resting human brain. Nature Computational Science. 3, 254–263.","apa":"Lombardi, F., Pepic, S., Shriki, O., Tkačik, G., & De Martino, D. (2023). Statistical modeling of adaptive neural networks explains co-existence of avalanches and oscillations in resting human brain. Nature Computational Science. Springer Nature. https://doi.org/10.1038/s43588-023-00410-9","mla":"Lombardi, Fabrizio, et al. “Statistical Modeling of Adaptive Neural Networks Explains Co-Existence of Avalanches and Oscillations in Resting Human Brain.” Nature Computational Science, vol. 3, Springer Nature, 2023, pp. 254–63, doi:10.1038/s43588-023-00410-9.","chicago":"Lombardi, Fabrizio, Selver Pepic, Oren Shriki, Gašper Tkačik, and Daniele De Martino. “Statistical Modeling of Adaptive Neural Networks Explains Co-Existence of Avalanches and Oscillations in Resting Human Brain.” Nature Computational Science. Springer Nature, 2023. https://doi.org/10.1038/s43588-023-00410-9.","short":"F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, D. De Martino, Nature Computational Science 3 (2023) 254–263."},"ddc":["570"],"month":"03","publisher":"Springer Nature","license":"https://creativecommons.org/licenses/by/4.0/","pmid":1,"date_published":"2023-03-20T00:00:00Z","isi":1,"acknowledgement":"This research was funded in whole, or in part, by the Austrian Science Fund (FWF) (grant no. PT1013M03318 to F.L. and no. P34015 to G.T.). For the purpose of open access, the author has applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. The study was supported by the European Union Horizon 2020 research and innovation program under the Marie Sklodowska-Curie action (grant agreement No. 754411 to F.L.).","intvolume":" 3","file_date_updated":"2023-08-16T12:39:57Z","year":"2023","date_created":"2023-03-26T22:01:08Z","publication":"Nature Computational Science","publication_status":"published","date_updated":"2026-07-29T06:53:41Z","scopus_import":"1","author":[{"orcid":"0000-0003-2623-5249","id":"A057D288-3E88-11E9-986D-0CF4E5697425","full_name":"Lombardi, Fabrizio","first_name":"Fabrizio","last_name":"Lombardi"},{"id":"F93245C4-C3CA-11E9-B4F0-C6F4E5697425","full_name":"Pepic, Selver","first_name":"Selver","last_name":"Pepic"},{"full_name":"Shriki, Oren","first_name":"Oren","last_name":"Shriki"},{"id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","full_name":"Tkačik, Gašper","first_name":"Gašper","last_name":"Tkačik","orcid":"0000-0002-6699-1455"},{"orcid":"0000-0002-5214-4706","last_name":"De Martino","first_name":"Daniele","full_name":"De Martino, Daniele","id":"3FF5848A-F248-11E8-B48F-1D18A9856A87"}],"type":"journal_article","related_material":{"record":[{"status":"public","id":"10912","relation":"earlier_version"}]},"abstract":[{"lang":"eng","text":"Neurons in the brain are wired into adaptive networks that exhibit collective dynamics as diverse as scale-specific oscillations and scale-free neuronal avalanches. Although existing models account for oscillations and avalanches separately, they typically do not explain both phenomena, are too complex to analyze analytically or intractable to infer from data rigorously. Here we propose a feedback-driven Ising-like class of neural networks that captures avalanches and oscillations simultaneously and quantitatively. In the simplest yet fully microscopic model version, we can analytically compute the phase diagram and make direct contact with human brain resting-state activity recordings via tractable inference of the model’s two essential parameters. The inferred model quantitatively captures the dynamics over a broad range of scales, from single sensor oscillations to collective behaviors of extreme events and neuronal avalanches. Importantly, the inferred parameters indicate that the co-existence of scale-specific (oscillations) and scale-free (avalanches) dynamics occurs close to a non-equilibrium critical point at the onset of self-sustained oscillations."}],"language":[{"iso":"eng"}],"status":"public","quality_controlled":"1","has_accepted_license":"1","volume":3,"article_type":"original","external_id":{"arxiv":["2108.06686"],"pmid":["38177880"],"isi":["000968161800002"]},"article_processing_charge":"No","corr_author":"1","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)"},"file":[{"file_size":4474284,"file_name":"2023_NatureCompScience_Lombardi.pdf","creator":"dernst","checksum":"7c63b2b2edfd68aaffe96d70ca6a865a","content_type":"application/pdf","date_created":"2023-08-16T12:39:57Z","file_id":"14073","success":1,"date_updated":"2023-08-16T12:39:57Z","relation":"main_file","access_level":"open_access"}],"oa":1,"doi":"10.1038/s43588-023-00410-9","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"name":"Functional Advantages of Critical Brain Dynamics","grant_number":"M03318","_id":"eb943429-77a9-11ec-83b8-9f471cdf5c67"},{"name":"Efficient coding with biophysical realism","grant_number":"P34015","_id":"626c45b5-2b32-11ec-9570-e509828c1ba6"}],"department":[{"_id":"GaTk"},{"_id":"GradSch"}],"fulldoi":"https://doi.org/10.1038/s43588-023-00410-9","publication_identifier":{"eissn":["2662-8457"]},"day":"20","page":"254-263","arxiv":1,"_id":"12762","title":"Statistical modeling of adaptive neural networks explains co-existence of avalanches and oscillations in resting human brain","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","ec_funded":1},{"citation":{"ieee":"J. Gemen et al., “Disequilibrating azoarenes by visible-light sensitization under confinement,” Science, vol. 381, no. 6664. American Association for the Advancement of Science, pp. 1357–1363, 2023.","ista":"Gemen J, Church JR, Ruoko T-P, Durandin N, Białek MJ, Weissenfels M, Feller M, Kazes M, Borin VA, Odaybat M, Kalepu R, Diskin-Posner Y, Oron D, Fuchter MJ, Priimagi A, Schapiro I, Klajn R. 2023. Disequilibrating azoarenes by visible-light sensitization under confinement. Science. 381(6664), 1357–1363.","ama":"Gemen J, Church JR, Ruoko T-P, et al. Disequilibrating azoarenes by visible-light sensitization under confinement. Science. 2023;381(6664):1357-1363. doi:10.1126/science.adh9059","short":"J. Gemen, J.R. Church, T.-P. Ruoko, N. Durandin, M.J. Białek, M. Weissenfels, M. Feller, M. Kazes, V.A. Borin, M. Odaybat, R. Kalepu, Y. Diskin-Posner, D. Oron, M.J. Fuchter, A. Priimagi, I. Schapiro, R. Klajn, Science 381 (2023) 1357–1363.","chicago":"Gemen, Julius, Jonathan R. Church, Tero-Petri Ruoko, Nikita Durandin, Michał J. Białek, Maren Weissenfels, Moran Feller, et al. “Disequilibrating Azoarenes by Visible-Light Sensitization under Confinement.” Science. American Association for the Advancement of Science, 2023. https://doi.org/10.1126/science.adh9059.","mla":"Gemen, Julius, et al. “Disequilibrating Azoarenes by Visible-Light Sensitization under Confinement.” Science, vol. 381, no. 6664, American Association for the Advancement of Science, 2023, pp. 1357–63, doi:10.1126/science.adh9059.","apa":"Gemen, J., Church, J. R., Ruoko, T.-P., Durandin, N., Białek, M. J., Weissenfels, M., … Klajn, R. (2023). Disequilibrating azoarenes by visible-light sensitization under confinement. Science. American Association for the Advancement of Science. https://doi.org/10.1126/science.adh9059"},"oa_version":"Preprint","date_published":"2023-09-22T00:00:00Z","pmid":1,"publisher":"American Association for the Advancement of Science","month":"09","intvolume":" 381","isi":1,"acknowledgement":"We acknowledge funding from the European Union’s Horizon 2020 Research and Innovation Program [European Research Council grants 820008 (Ra.K.) and 101045223 (A.P.) and Marie Skłodowska-Curie grants 812868 (J.G.) and 101022777 (T.-P.R.)], the Academy of Finland [Center of Excellence Programme LIBER grant 346107 (A.P.), Flagship Programme PREIN grant 320165 (A.P.), and Postdoctoral Researcher grant 340103 (T.-P.R.)], Zuckerman STEM Leadership Program Fellowship (J.R.C.), President’s PhD Scholarship (M.O.), and the EPSRC [Established Career Fellowship grant EP/R00188X/1 (M.J.F.)].","publication_status":"published","publication":"Science","year":"2023","date_created":"2023-08-01T08:26:15Z","scopus_import":"1","OA_type":"green","date_updated":"2026-07-29T05:48:56Z","author":[{"last_name":"Gemen","first_name":"Julius","full_name":"Gemen, Julius"},{"last_name":"Church","first_name":"Jonathan R.","full_name":"Church, Jonathan R."},{"full_name":"Ruoko, Tero-Petri","first_name":"Tero-Petri","last_name":"Ruoko"},{"full_name":"Durandin, Nikita","first_name":"Nikita","last_name":"Durandin"},{"last_name":"Białek","first_name":"Michał J.","full_name":"Białek, Michał J."},{"full_name":"Weissenfels, Maren","last_name":"Weissenfels","first_name":"Maren"},{"first_name":"Moran","last_name":"Feller","full_name":"Feller, Moran"},{"full_name":"Kazes, Miri","first_name":"Miri","last_name":"Kazes"},{"full_name":"Borin, Veniamin A.","last_name":"Borin","first_name":"Veniamin A."},{"first_name":"Magdalena","last_name":"Odaybat","full_name":"Odaybat, Magdalena"},{"full_name":"Kalepu, Rishir","first_name":"Rishir","last_name":"Kalepu"},{"last_name":"Diskin-Posner","first_name":"Yael","full_name":"Diskin-Posner, Yael"},{"first_name":"Dan","last_name":"Oron","full_name":"Oron, Dan"},{"first_name":"Matthew J.","last_name":"Fuchter","full_name":"Fuchter, Matthew J."},{"full_name":"Priimagi, Arri","first_name":"Arri","last_name":"Priimagi"},{"last_name":"Schapiro","first_name":"Igor","full_name":"Schapiro, Igor"},{"id":"8e84690e-1e48-11ed-a02b-a1e6fb8bb53b","full_name":"Klajn, Rafal","first_name":"Rafal","last_name":"Klajn"}],"language":[{"iso":"eng"}],"abstract":[{"text":"Photoisomerization of azobenzenes from their stable E isomer to the metastable Z state is the basis of numerous applications of these molecules. However, this reaction typically requires ultraviolet light, which limits applicability. In this study, we introduce disequilibration by sensitization under confinement (DESC), a supramolecular approach to induce the E-to-Z isomerization by using light of a desired color, including red. DESC relies on a combination of a macrocyclic host and a photosensitizer, which act together to selectively bind and sensitize E-azobenzenes for isomerization. The Z isomer lacks strong affinity for and is expelled from the host, which can then convert additional E-azobenzenes to the Z state. In this way, the host–photosensitizer complex converts photon energy into chemical energy in the form of out-of-equilibrium photostationary states, including ones that cannot be accessed through direct photoexcitation.","lang":"eng"}],"OA_place":"repository","type":"journal_article","quality_controlled":"1","status":"public","volume":381,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.26434/chemrxiv-2023-gq2h0"}],"article_processing_charge":"No","article_type":"original","external_id":{"chemrxivid":["10.26434/chemrxiv-2023-gq2h0"],"isi":["001100654900035"],"pmid":["37733864"]},"corr_author":"1","issue":"6664","chemrxivid":1,"oa":1,"doi":"10.1126/science.adh9059","project":[{"_id":"7bef070e-9f16-11ee-852c-db9675e131d9","call_identifier":"H2020","grant_number":"820008","name":"Dissipative self-assembly in synthetic systems: Towards life-like materials"}],"fulldoi":"https://doi.org/10.1126/science.adh9059","department":[{"_id":"RaKl"}],"publication_identifier":{"eissn":["1095-9203"]},"day":"22","page":"1357-1363","title":"Disequilibrating azoarenes by visible-light sensitization under confinement","_id":"13340","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ec_funded":1},{"_id":"14210","title":"Leveraging sparse and shared feature activations for disentangled representation learning","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"FrLo"}],"supplementarymaterial":"no","day":"10","publication_identifier":{"issn":["1049-5258"]},"arxiv":1,"conference":{"end_date":"2023-12-16","start_date":"2023-12-10","location":"New Orleans, LA, United States","name":"NeurIPS: Neural Information Processing Systems"},"corr_author":"1","researchdata_availability":"no","file":[{"file_name":"2026_Neurips_Fumero.pdf","file_size":1466102,"creator":"dernst","checksum":"c70e8a74e205528750c71996ba39c6c1","content_type":"application/pdf","file_id":"22604","date_created":"2026-07-29T07:58:19Z","success":1,"relation":"main_file","date_updated":"2026-07-29T07:58:19Z","access_level":"open_access"}],"oa":1,"volume":36,"has_accepted_license":"1","das_tickbox":"0","external_id":{"arxiv":["2304.07939"]},"article_processing_charge":"No","alternative_title":["Advances in Neural Information Processing Systems"],"OA_place":"publisher","type":"conference","language":[{"iso":"eng"}],"abstract":[{"text":"Research on recovering the latent factors of variation of high dimensional data has so far focused on simple synthetic settings. Mostly building on unsupervised and weakly-supervised objectives, prior work missed out on the positive implications for representation learning on real world data. In this work, we propose to leverage knowledge extracted from a diversified set of supervised tasks to learn a common disentangled representation. Assuming that each supervised task only depends on an unknown subset of the factors of variation, we disentangle the feature space of a supervised multi-task model, with features activating sparsely across different tasks and information being shared as appropriate. Importantly, we never directly observe the factors of variations, but establish that access to multiple tasks is sufficient for identifiability under sufficiency and minimality assumptions. We validate our approach on six real world distribution shift benchmarks, and different data modalities (images, text), demonstrating how disentangled representations can be transferred to real settings.","lang":"eng"}],"quality_controlled":"1","status":"public","OA_type":"gold","date_updated":"2026-07-29T08:02:05Z","author":[{"full_name":"Fumero, Marco","first_name":"Marco","last_name":"Fumero"},{"full_name":"Wenzel, Florian","first_name":"Florian","last_name":"Wenzel"},{"first_name":"Luca","last_name":"Zancato","full_name":"Zancato, Luca"},{"last_name":"Achille","first_name":"Alessandro","full_name":"Achille, Alessandro"},{"first_name":"Emanuele","last_name":"Rodolà","full_name":"Rodolà, Emanuele"},{"last_name":"Soatto","first_name":"Stefano","full_name":"Soatto, Stefano"},{"first_name":"Bernhard","last_name":"Schölkopf","full_name":"Schölkopf, Bernhard"},{"id":"26cfd52f-2483-11ee-8040-88983bcc06d4","full_name":"Locatello, Francesco","first_name":"Francesco","last_name":"Locatello","orcid":"0000-0002-4850-0683"}],"intvolume":" 36","acknowledgement":"Marco Fumero and Emanuele Rodolà were supported by the ERC grant no.802554 (SPECGEO),\r\nPRIN 2020 project no.2020TA3K9N (LEGO.AI), and PNRR MUR project PE0000013-FAIR. Marco\r\nFumero and Francesco Locatello were partially at Amazon while working at this project. We thank\r\nJulius von Kügelgen, Sebastian Lachapelle and the anonymous reviewers for their feedback and\r\nsuggestions.","article_number":"1204","file_date_updated":"2026-07-29T07:58:19Z","publication_status":"published","date_created":"2023-08-22T14:19:03Z","publication":"37th International Conference on Neural Information Processing Systems","year":"2023","oa_version":"Published Version","citation":{"short":"M. Fumero, F. Wenzel, L. Zancato, A. Achille, E. Rodolà, S. Soatto, B. Schölkopf, F. Locatello, in:, 37th International Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2023.","mla":"Fumero, Marco, et al. “Leveraging Sparse and Shared Feature Activations for Disentangled Representation Learning.” 37th International Conference on Neural Information Processing Systems, vol. 36, 1204, Neural Information Processing Systems Foundation, 2023.","chicago":"Fumero, Marco, Florian Wenzel, Luca Zancato, Alessandro Achille, Emanuele Rodolà, Stefano Soatto, Bernhard Schölkopf, and Francesco Locatello. “Leveraging Sparse and Shared Feature Activations for Disentangled Representation Learning.” In 37th International Conference on Neural Information Processing Systems, Vol. 36. Neural Information Processing Systems Foundation, 2023.","apa":"Fumero, M., Wenzel, F., Zancato, L., Achille, A., Rodolà, E., Soatto, S., … Locatello, F. (2023). Leveraging sparse and shared feature activations for disentangled representation learning. In 37th International Conference on Neural Information Processing Systems (Vol. 36). New Orleans, LA, United States: Neural Information Processing Systems Foundation.","ista":"Fumero M, Wenzel F, Zancato L, Achille A, Rodolà E, Soatto S, Schölkopf B, Locatello F. 2023. Leveraging sparse and shared feature activations for disentangled representation learning. 37th International Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 36, 1204.","ieee":"M. Fumero et al., “Leveraging sparse and shared feature activations for disentangled representation learning,” in 37th International Conference on Neural Information Processing Systems, New Orleans, LA, United States, 2023, vol. 36.","ama":"Fumero M, Wenzel F, Zancato L, et al. Leveraging sparse and shared feature activations for disentangled representation learning. In: 37th International Conference on Neural Information Processing Systems. Vol 36. Neural Information Processing Systems Foundation; 2023."},"publisher":"Neural Information Processing Systems Foundation","month":"12","ddc":["000"],"date_published":"2023-12-10T00:00:00Z"},{"page":"55394-55414","arxiv":1,"day":"01","department":[{"_id":"FrLo"}],"supplementarymaterial":"yes","fulldoi":"https://doi.org/10.52202/075280-2418","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14952","title":"Latent space translation via semantic alignment","external_id":{"arxiv":["2311.00664"]},"das_tickbox":"0","alternative_title":["Advances in Neural Information Processing Systems"],"article_processing_charge":"No","has_accepted_license":"1","file":[{"date_updated":"2026-07-29T08:23:16Z","relation":"main_file","success":1,"access_level":"open_access","creator":"dernst","checksum":"44ec045f30f8e25ce1c8ee70feffc9b4","file_size":4858561,"file_name":"2023_Neurips_Malorca.pdf","file_id":"22606","date_created":"2026-07-29T08:23:16Z","content_type":"application/pdf"}],"researchdata_availability":"no","doi":"10.52202/075280-2418","oa":1,"conference":{"start_date":"2023-12-10","location":"New Orleans, LA, United States","name":"NeurIPS: Neural Information Processing Systems","end_date":"2026-12-16"},"author":[{"full_name":"Maiorca, Valentino","first_name":"Valentino","last_name":"Maiorca"},{"last_name":"Moschella","first_name":"Luca","full_name":"Moschella, Luca"},{"last_name":"Norelli","first_name":"Antonio","full_name":"Norelli, Antonio"},{"last_name":"Fumero","first_name":"Marco","full_name":"Fumero, Marco"},{"orcid":"0000-0002-4850-0683","last_name":"Locatello","first_name":"Francesco","full_name":"Locatello, Francesco","id":"26cfd52f-2483-11ee-8040-88983bcc06d4"},{"first_name":"Emanuele","last_name":"Rodolà","full_name":"Rodolà, Emanuele"}],"date_updated":"2026-07-29T08:24:56Z","OA_type":"gold","quality_controlled":"1","status":"public","type":"conference","OA_place":"publisher","abstract":[{"lang":"eng","text":"While different neural models often exhibit latent spaces that are alike when exposed to semantically related data, this intrinsic similarity is not always immediately discernible. Towards a better understanding of this phenomenon, our work shows how representations learned from these neural modules can be translated between different pre-trained networks via simpler transformations than previously thought. An advantage of this approach is the ability to\r\nestimate these transformations using standard, well-understood algebraic procedures that have closed-form solutions. Our method directly estimates a transformation between two given latent spaces, thereby enabling effective stitching of encoders and decoders without additional training. We extensively validate the adaptability of this translation procedure in different\r\nexperimental settings: across various trainings, domains, architectures (e.g., ResNet, CNN, ViT), and in multiple downstream tasks (classification, reconstruction). Notably, we show how it is possible to zero-shot stitch text encoders and vision decoders, or vice-versa, yielding surprisingly good classification performance in this multimodal setting."}],"language":[{"iso":"eng"}],"ddc":["000"],"month":"12","publisher":"Neural Information Processing Systems Foundation","date_published":"2023-12-01T00:00:00Z","citation":{"short":"V. Maiorca, L. Moschella, A. Norelli, M. Fumero, F. Locatello, E. Rodolà, in:, 37th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2023, pp. 55394–55414.","apa":"Maiorca, V., Moschella, L., Norelli, A., Fumero, M., Locatello, F., & Rodolà, E. (2023). Latent space translation via semantic alignment. In 37th Conference on Neural Information Processing Systems (pp. 55394–55414). New Orleans, LA, United States: Neural Information Processing Systems Foundation. https://doi.org/10.52202/075280-2418","chicago":"Maiorca, Valentino, Luca Moschella, Antonio Norelli, Marco Fumero, Francesco Locatello, and Emanuele Rodolà. “Latent Space Translation via Semantic Alignment.” In 37th Conference on Neural Information Processing Systems, 55394–414. Neural Information Processing Systems Foundation, 2023. https://doi.org/10.52202/075280-2418.","mla":"Maiorca, Valentino, et al. “Latent Space Translation via Semantic Alignment.” 37th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2023, pp. 55394–414, doi:10.52202/075280-2418.","ama":"Maiorca V, Moschella L, Norelli A, Fumero M, Locatello F, Rodolà E. Latent space translation via semantic alignment. In: 37th Conference on Neural Information Processing Systems. Neural Information Processing Systems Foundation; 2023:55394-55414. doi:10.52202/075280-2418","ista":"Maiorca V, Moschella L, Norelli A, Fumero M, Locatello F, Rodolà E. 2023. Latent space translation via semantic alignment. 37th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, , 55394–55414.","ieee":"V. Maiorca, L. Moschella, A. Norelli, M. Fumero, F. Locatello, and E. Rodolà, “Latent space translation via semantic alignment,” in 37th Conference on Neural Information Processing Systems, New Orleans, LA, United States, 2023, pp. 55394–55414."},"oa_version":"Published Version","publication":"37th Conference on Neural Information Processing Systems","date_created":"2024-02-07T15:08:55Z","year":"2023","publication_status":"published","acknowledgement":"This work is supported by the ERC grant no.802554 (SPECGEO), PRIN 2020 project no.2020TA3K9N (LEGO.AI), and PNRR MUR project PE0000013-FAIR. Francesco\r\nLocatello did not contribute to this work at Amazon.","file_date_updated":"2026-07-29T08:23:16Z"},{"publication_status":"published","year":"2023","publication":"37th Conference on Neural Information Processing Systems","date_created":"2023-08-22T14:18:00Z","file_date_updated":"2026-07-29T07:35:33Z","intvolume":" 36","acknowledgement":"We thank Jascha Sohl-Dickstein and Sjoerd van Steenkiste for insightful discussions. Francesco\r\nLocatello worked on this paper outside of Amazon. Sindy Lowe was supported by the Google PhD ¨Fellowship.\r\n","date_published":"2023-09-21T00:00:00Z","publisher":"Neural Information Processing Systems Foundation","month":"09","ddc":["000"],"citation":{"short":"S. Löwe, P. Lippe, F. Locatello, M. Welling, in:, 37th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2023.","apa":"Löwe, S., Lippe, P., Locatello, F., & Welling, M. (2023). Rotating features for object discovery. In 37th Conference on Neural Information Processing Systems (Vol. 36). New Orleans, LA, United States: Neural Information Processing Systems Foundation.","mla":"Löwe, Sindy, et al. “Rotating Features for Object Discovery.” 37th Conference on Neural Information Processing Systems, vol. 36, Neural Information Processing Systems Foundation, 2023.","chicago":"Löwe, Sindy, Phillip Lippe, Francesco Locatello, and Max Welling. “Rotating Features for Object Discovery.” In 37th Conference on Neural Information Processing Systems, Vol. 36. Neural Information Processing Systems Foundation, 2023.","ama":"Löwe S, Lippe P, Locatello F, Welling M. Rotating features for object discovery. In: 37th Conference on Neural Information Processing Systems. Vol 36. Neural Information Processing Systems Foundation; 2023.","ista":"Löwe S, Lippe P, Locatello F, Welling M. 2023. Rotating features for object discovery. 37th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 36.","ieee":"S. Löwe, P. Lippe, F. Locatello, and M. Welling, “Rotating features for object discovery,” in 37th Conference on Neural Information Processing Systems, New Orleans, LA, United States, 2023, vol. 36."},"oa_version":"Published Version","status":"public","quality_controlled":"1","language":[{"iso":"eng"}],"abstract":[{"text":"The binding problem in human cognition, concerning how the brain represents and connects objects within a fixed network of neural connections, remains a subject of intense debate. Most machine learning efforts addressing this issue in an unsupervised setting have focused on slot-based methods, which may be limiting due to their discrete nature and difficulty to express uncertainty. Recently, the Complex AutoEncoder was proposed as an alternative that learns continuous and distributed object-centric representations. However, it is only applicable to simple toy data. In this paper, we present Rotating Features, a generalization of complex-valued features to higher dimensions, and a new evaluation procedure for extracting objects from distributed representations. Additionally, we show the applicability of our approach to pre-trained features. Together, these advancements enable us to scale distributed object-centric representations from simple toy to real-world data. We believe this work advances a new paradigm for addressing the binding problem in machine learning and has the potential to inspire further innovation in the field.","lang":"eng"}],"OA_place":"publisher","type":"conference","author":[{"full_name":"Löwe, Sindy","last_name":"Löwe","first_name":"Sindy"},{"full_name":"Lippe, Phillip","last_name":"Lippe","first_name":"Phillip"},{"first_name":"Francesco","last_name":"Locatello","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","full_name":"Locatello, Francesco","orcid":"0000-0002-4850-0683"},{"last_name":"Welling","first_name":"Max","full_name":"Welling, Max"}],"scopus_import":"1","OA_type":"gold","date_updated":"2026-07-29T07:36:23Z","oa":1,"researchdata_availability":"no","file":[{"content_type":"application/pdf","file_id":"22603","date_created":"2026-07-29T07:35:33Z","file_size":10788023,"file_name":"2026_Neurips_Loewe.pdf","creator":"dernst","checksum":"67860dc8ce60f60cfa366baa623f6a55","access_level":"open_access","success":1,"date_updated":"2026-07-29T07:35:33Z","relation":"main_file"}],"conference":{"start_date":"2023-12-10","location":"New Orleans, LA, United States","name":"NeurIPS: Neural Information Processing Systems","end_date":"2023-12-16"},"article_processing_charge":"No","alternative_title":["Advances in Neural Information Processing Systems"],"das_tickbox":"0","external_id":{"arxiv":["2306.00600"]},"has_accepted_license":"1","volume":36,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Rotating features for object discovery","_id":"14207","day":"21","publication_identifier":{"issn":["1049-5258"]},"arxiv":1,"supplementarymaterial":"yes","department":[{"_id":"FrLo"}]},{"title":"Grounded object centric learning","_id":"14948","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","supplementarymaterial":"yes","department":[{"_id":"FrLo"}],"arxiv":1,"day":"18","conference":{"name":"ICLR: International Conference on Learning Representations","start_date":"2024-05-07","location":"Vienna, Austria","end_date":"2024-05-11"},"oa":1,"researchdata_availability":"no","file":[{"date_updated":"2026-07-29T08:13:30Z","relation":"main_file","success":1,"access_level":"open_access","checksum":"b9687ba09b6ecfdfb319fe167ed07816","creator":"dernst","file_name":"2024_ICLR_Kori.pdf","file_size":19986955,"date_created":"2026-07-29T08:13:30Z","file_id":"22605","content_type":"application/pdf"}],"has_accepted_license":"1","article_processing_charge":"No","das_tickbox":"0","external_id":{"arxiv":["2307.09437"]},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"The extraction of modular object-centric representations for downstream tasks\r\nis an emerging area of research. Learning grounded representations of objects\r\nthat are guaranteed to be stable and invariant promises robust performance\r\nacross different tasks and environments. Slot Attention (SA) learns\r\nobject-centric representations by assigning objects to \\textit{slots}, but\r\npresupposes a \\textit{single} distribution from which all slots are randomly\r\ninitialised. This results in an inability to learn \\textit{specialized} slots\r\nwhich bind to specific object types and remain invariant to identity-preserving\r\nchanges in object appearance. To address this, we present\r\n\\emph{\\textsc{Co}nditional \\textsc{S}lot \\textsc{A}ttention} (\\textsc{CoSA})\r\nusing a novel concept of \\emph{Grounded Slot Dictionary} (GSD) inspired by\r\nvector quantization. Our proposed GSD comprises (i) canonical object-level\r\nproperty vectors and (ii) parametric Gaussian distributions, which define a\r\nprior over the slots. We demonstrate the benefits of our method in multiple\r\ndownstream tasks such as scene generation, composition, and task adaptation,\r\nwhilst remaining competitive with SA in popular object discovery benchmarks."}],"OA_place":"publisher","type":"conference","quality_controlled":"1","status":"public","OA_type":"gold","date_updated":"2026-07-29T08:17:51Z","author":[{"last_name":"Kori","first_name":"Avinash","full_name":"Kori, Avinash"},{"orcid":"0000-0002-4850-0683","first_name":"Francesco","last_name":"Locatello","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","full_name":"Locatello, Francesco"},{"first_name":"Fabio De Sousa","last_name":"Ribeiro","full_name":"Ribeiro, Fabio De Sousa"},{"full_name":"Toni, Francesca","last_name":"Toni","first_name":"Francesca"},{"first_name":"Ben","last_name":"Glocker","full_name":"Glocker, Ben"}],"file_date_updated":"2026-07-29T08:13:30Z","acknowledgement":"A. Kori is supported by UKRI (grant agreement no. EP/S023356/1), as part of the UKRI Centre\r\nfor Doctoral Training in Safe and Trusted AI. F.D.S. Ribeiro and B. Glocker received funding from\r\nthe European Research Council (ERC) under the European Union’s Horizon 2020 research and\r\ninnovation programme (grant agreement No 757173, project MIRA, ERC-2017-STG).","publication_status":"published","year":"2023","publication":"12th International Conference on Learning Representations","date_created":"2024-02-07T14:47:04Z","oa_version":"Published Version","citation":{"short":"A. Kori, F. Locatello, F.D.S. Ribeiro, F. Toni, B. Glocker, in:, 12th International Conference on Learning Representations, ICLR, 2023.","mla":"Kori, Avinash, et al. “Grounded Object Centric Learning.” 12th International Conference on Learning Representations, ICLR, 2023.","chicago":"Kori, Avinash, Francesco Locatello, Fabio De Sousa Ribeiro, Francesca Toni, and Ben Glocker. “Grounded Object Centric Learning.” In 12th International Conference on Learning Representations. ICLR, 2023.","apa":"Kori, A., Locatello, F., Ribeiro, F. D. S., Toni, F., & Glocker, B. (2023). Grounded object centric learning. In 12th International Conference on Learning Representations. Vienna, Austria: ICLR.","ista":"Kori A, Locatello F, Ribeiro FDS, Toni F, Glocker B. 2023. Grounded object centric learning. 12th International Conference on Learning Representations. ICLR: International Conference on Learning Representations.","ieee":"A. Kori, F. Locatello, F. D. S. Ribeiro, F. Toni, and B. Glocker, “Grounded object centric learning,” in 12th International Conference on Learning Representations, Vienna, Austria, 2023.","ama":"Kori A, Locatello F, Ribeiro FDS, Toni F, Glocker B. Grounded object centric learning. In: 12th International Conference on Learning Representations. ICLR; 2023."},"date_published":"2023-07-18T00:00:00Z","publisher":"ICLR","month":"07","ddc":["000"]},{"ec_funded":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Some effectivity results for primitive divisors of elliptic divisibility sequences","_id":"12313","publication_identifier":{"eissn":["0030-8730"]},"arxiv":1,"day":"03","page":"331-351","supplementarymaterial":"no","fulldoi":"https://doi.org/10.2140/pjm.2023.325.331","department":[{"_id":"TiBr"}],"oa":1,"project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"doi":"10.2140/pjm.2023.325.331","file":[{"access_level":"open_access","success":1,"relation":"main_file","date_updated":"2023-11-13T09:50:41Z","content_type":"application/pdf","date_created":"2023-11-13T09:50:41Z","file_id":"14525","file_size":389897,"file_name":"2023_PacificJourMaths_Verzobio.pdf","creator":"dernst","checksum":"b6218d16a72742d8bb38d6fc3c9bb8c6"}],"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)"},"researchdata_availability":"no","corr_author":"1","issue":"2","article_processing_charge":"Yes (in subscription journal)","article_type":"original","external_id":{"arxiv":["2001.02987"],"isi":["001104766900001"]},"das_tickbox":"0","has_accepted_license":"1","volume":325,"status":"public","quality_controlled":"1","abstract":[{"text":"Let P be a nontorsion point on an elliptic curve defined over a number field K and consider the sequence {Bn}n∈N of the denominators of x(nP). We prove that every term of the sequence of the Bn has a primitive divisor for n greater than an effectively computable constant that we will explicitly compute. This constant will depend only on the model defining the curve.","lang":"eng"}],"language":[{"iso":"eng"}],"type":"journal_article","author":[{"last_name":"Verzobio","first_name":"Matteo","full_name":"Verzobio, Matteo","id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","orcid":"0000-0002-0854-0306"}],"date_updated":"2026-07-29T10:07:53Z","scopus_import":"1","date_created":"2023-01-16T11:46:19Z","year":"2023","publication":"Pacific Journal of Mathematics","publication_status":"published","file_date_updated":"2023-11-13T09:50:41Z","acknowledgement":"This paper is part of the author’s PhD thesis at Università of Pisa. Moreover, this\r\nproject has received funding from the European Union’s Horizon 2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant Agreement\r\nNo. 101034413. I thank the referee for many helpful comments.","isi":1,"intvolume":" 325","date_published":"2023-11-03T00:00:00Z","ddc":["510"],"month":"11","publisher":"Mathematical Sciences Publishers","citation":{"ieee":"M. Verzobio, “Some effectivity results for primitive divisors of elliptic divisibility sequences,” Pacific Journal of Mathematics, vol. 325, no. 2. Mathematical Sciences Publishers, pp. 331–351, 2023.","ista":"Verzobio M. 2023. Some effectivity results for primitive divisors of elliptic divisibility sequences. Pacific Journal of Mathematics. 325(2), 331–351.","ama":"Verzobio M. Some effectivity results for primitive divisors of elliptic divisibility sequences. Pacific Journal of Mathematics. 2023;325(2):331-351. doi:10.2140/pjm.2023.325.331","short":"M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.","mla":"Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility Sequences.” Pacific Journal of Mathematics, vol. 325, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–51, doi:10.2140/pjm.2023.325.331.","chicago":"Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility Sequences.” Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/pjm.2023.325.331.","apa":"Verzobio, M. (2023). Some effectivity results for primitive divisors of elliptic divisibility sequences. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2023.325.331"},"oa_version":"Published Version"},{"date_updated":"2026-07-29T10:13:41Z","scopus_import":"1","author":[{"first_name":"Tal","last_name":"Horesh","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","full_name":"Horesh, Tal"},{"full_name":"Nevo, Amos","last_name":"Nevo","first_name":"Amos"}],"abstract":[{"text":"We establish effective counting results for lattice points in families of domains in real, complex and quaternionic hyperbolic spaces of any dimension. The domains we focus on are defined as product sets with respect to an Iwasawa decomposition. Several natural diophantine problems can be reduced to counting lattice points in such domains. These include equidistribution of the ratio of the length of the shortest solution (x,y) to the gcd equation bx−ay=1 relative to the length of (a,b), where (a,b) ranges over primitive vectors in a disc whose radius increases, the natural analog of this problem in imaginary quadratic number fields, as well as equidistribution of integral solutions to the diophantine equation defined by an integral Lorentz form in three or more variables. We establish an effective rate of convergence for these equidistribution problems, depending on the size of the spectral gap associated with a suitable lattice subgroup in the isometry group of the relevant hyperbolic space. The main result underlying our discussion amounts to establishing effective joint equidistribution for the horospherical component and the radial component in the Iwasawa decomposition of lattice elements.","lang":"eng"}],"language":[{"iso":"eng"}],"type":"journal_article","quality_controlled":"1","status":"public","oa_version":"Published Version","citation":{"ista":"Horesh T, Nevo A. 2023. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. 324(2), 265–294.","ieee":"T. Horesh and A. Nevo, “Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution,” Pacific Journal of Mathematics, vol. 324, no. 2. Mathematical Sciences Publishers, pp. 265–294, 2023.","ama":"Horesh T, Nevo A. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. 2023;324(2):265-294. doi:10.2140/pjm.2023.324.265","short":"T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.","mla":"Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” Pacific Journal of Mathematics, vol. 324, no. 2, Mathematical Sciences Publishers, 2023, pp. 265–94, doi:10.2140/pjm.2023.324.265.","chicago":"Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” Pacific Journal of Mathematics. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/pjm.2023.324.265.","apa":"Horesh, T., & Nevo, A. (2023). Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2023.324.265"},"date_published":"2023-07-26T00:00:00Z","month":"07","ddc":["510"],"publisher":"Mathematical Sciences Publishers","file_date_updated":"2023-09-05T07:26:17Z","acknowledgement":"The authors thank the referee for important comments which led to significant improvements is the presentation of several results in the paper. They also thank Ami Paz for preparing the figures for this paper. Horesh thanks Ami Paz and Yakov Karasik for helpful discussions. Nevo thanks John Parker and Rene Rühr for providing some very useful references. Nevo is supported by ISF Grant No. 2095/15.","isi":1,"intvolume":" 324","publication":"Pacific Journal of Mathematics","date_created":"2023-08-27T22:01:18Z","year":"2023","publication_status":"published","supplementarymaterial":"no","fulldoi":"https://doi.org/10.2140/pjm.2023.324.265","department":[{"_id":"TiBr"}],"day":"26","arxiv":1,"publication_identifier":{"issn":["0030-8730"],"eissn":["1945-5844"]},"page":"265-294","title":"Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution","_id":"14245","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","has_accepted_license":"1","volume":324,"article_processing_charge":"Yes","external_id":{"arxiv":["1612.08215"],"isi":["001047690500001"]},"article_type":"original","das_tickbox":"0","corr_author":"1","issue":"2","doi":"10.2140/pjm.2023.324.265","oa":1,"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)"},"file":[{"creator":"dernst","checksum":"a675b53cfb31fa46be1e879b7e77fe8c","file_name":"2023_PacificJourMaths_Horesh.pdf","file_size":654895,"file_id":"14267","date_created":"2023-09-05T07:26:17Z","content_type":"application/pdf","date_updated":"2023-09-05T07:26:17Z","relation":"main_file","success":1,"access_level":"open_access"}],"researchdata_availability":"no"},{"year":"2023","date_created":"2023-05-28T22:01:02Z","publication":"Algebra & Number Theory","publication_status":"published","isi":1,"acknowledgement":"The authors are grateful to Paul Nelson, Per Salberger and Jason Starr for useful comments. While working on this paper the first author was supported by EPRSC grant EP/P026710/1. The research was partially conducted during the period the second author served as a Clay Research Fellow, and partially conducted during the period he was supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zurich Foundation.","intvolume":" 17","file_date_updated":"2023-05-30T08:05:22Z","month":"04","ddc":["510"],"publisher":"Mathematical Sciences Publishers","date_published":"2023-04-12T00:00:00Z","oa_version":"Published Version","citation":{"ista":"Browning TD, Sawin W. 2023. Free rational curves on low degree hypersurfaces and the circle method. Algebra & Number Theory. 17(3), 719–748.","ieee":"T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces and the circle method,” Algebra & Number Theory, vol. 17, no. 3. Mathematical Sciences Publishers, pp. 719–748, 2023.","ama":"Browning TD, Sawin W. Free rational curves on low degree hypersurfaces and the circle method. Algebra & Number Theory. 2023;17(3):719-748. doi:10.2140/ant.2023.17.719","short":"T.D. Browning, W. Sawin, Algebra & Number Theory 17 (2023) 719–748.","chicago":"Browning, Timothy D, and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.” Algebra & Number Theory. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/ant.2023.17.719.","mla":"Browning, Timothy D., and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.” Algebra & Number Theory, vol. 17, no. 3, Mathematical Sciences Publishers, 2023, pp. 719–48, doi:10.2140/ant.2023.17.719.","apa":"Browning, T. D., & Sawin, W. (2023). Free rational curves on low degree hypersurfaces and the circle method. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2023.17.719"},"quality_controlled":"1","status":"public","type":"journal_article","abstract":[{"lang":"eng","text":"We use a function field version of the Hardy–Littlewood circle method to study the locus of free rational curves on an arbitrary smooth projective hypersurface of sufficiently low degree. On the one hand this allows us to bound the dimension of the singular locus of the moduli space of rational curves on such hypersurfaces and, on the other hand, it sheds light on Peyre’s reformulation of the Batyrev–Manin conjecture in terms of slopes with respect to the tangent bundle."}],"language":[{"iso":"eng"}],"author":[{"orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Sawin, Will","first_name":"Will","last_name":"Sawin"}],"date_updated":"2026-07-29T10:11:06Z","scopus_import":"1","file":[{"relation":"main_file","date_updated":"2023-05-30T08:05:22Z","success":1,"access_level":"open_access","checksum":"5d5d67b235905650e33cf7065d7583b4","creator":"dernst","file_name":"2023_AlgebraNumberTheory_Browning.pdf","file_size":1430719,"file_id":"13101","date_created":"2023-05-30T08:05:22Z","content_type":"application/pdf"}],"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)"},"researchdata_availability":"no","project":[{"grant_number":"EP-P026710-2","name":"Between rational and integral points","_id":"26A8D266-B435-11E9-9278-68D0E5697425"}],"oa":1,"doi":"10.2140/ant.2023.17.719","issue":"3","corr_author":"1","external_id":{"isi":["000996014700004"],"arxiv":["1810.06882"]},"article_type":"original","das_tickbox":"0","article_processing_charge":"No","has_accepted_license":"1","volume":17,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"13091","title":"Free rational curves on low degree hypersurfaces and the circle method","day":"12","page":"719-748","publication_identifier":{"eissn":["1944-7833"],"issn":["1937-0652"]},"arxiv":1,"department":[{"_id":"TiBr"}],"supplementarymaterial":"no","fulldoi":"https://doi.org/10.2140/ant.2023.17.719"},{"license":"https://creativecommons.org/licenses/by-nd/4.0/","date_published":"2023-05-12T00:00:00Z","ddc":["510"],"month":"05","publisher":"Association des Annales de l'Institut Fourier","citation":{"apa":"Lyczak, J. (2023). Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.3529","mla":"Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” Annales de l’Institut Fourier, vol. 73, no. 2, Association des Annales de l’Institut Fourier, 2023, pp. 447–78, doi:10.5802/aif.3529.","chicago":"Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle on Log K3 Surfaces.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2023. https://doi.org/10.5802/aif.3529.","short":"J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.","ama":"Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 2023;73(2):447-478. doi:10.5802/aif.3529","ieee":"J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces,” Annales de l’Institut Fourier, vol. 73, no. 2. Association des Annales de l’Institut Fourier, pp. 447–478, 2023.","ista":"Lyczak J. 2023. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 73(2), 447–478."},"oa_version":"Published Version","publication":"Annales de l'Institut Fourier","year":"2023","date_created":"2023-08-06T22:01:12Z","publication_status":"published","file_date_updated":"2023-08-07T07:19:42Z","isi":1,"acknowledgement":"This paper was completed as part of a project which received funding from the\r\nEuropean Union’s Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie grant agreement No. 754411.","intvolume":" 73","author":[{"last_name":"Lyczak","first_name":"Julian","full_name":"Lyczak, Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2026-07-29T10:12:43Z","scopus_import":"1","quality_controlled":"1","status":"public","abstract":[{"lang":"eng","text":"We construct families of log K3 surfaces and study the arithmetic of their members. We use this to produce explicit surfaces with an order 5 Brauer–Manin obstruction to the integral Hasse principle."}],"language":[{"iso":"eng"}],"type":"journal_article","article_processing_charge":"Yes (in subscription journal)","external_id":{"isi":["001000279500001"],"arxiv":["2005.14013"]},"article_type":"original","das_tickbox":"0","has_accepted_license":"1","volume":73,"doi":"10.5802/aif.3529","oa":1,"project":[{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"file":[{"access_level":"open_access","relation":"main_file","date_updated":"2023-08-07T07:19:42Z","success":1,"file_id":"13977","date_created":"2023-08-07T07:19:42Z","content_type":"application/pdf","checksum":"daf53fc614c894422e4c0fb3d2a2ae3e","creator":"dernst","file_name":"2023_AnnalesFourier_Lyczak.pdf","file_size":1529821}],"tmp":{"image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"researchdata_availability":"no","corr_author":"1","issue":"2","page":"447-478","publication_identifier":{"issn":["0373-0956"]},"arxiv":1,"day":"12","supplementarymaterial":"yes","fulldoi":"https://doi.org/10.5802/aif.3529","department":[{"_id":"TiBr"}],"ec_funded":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces","_id":"13973"},{"oa_version":"Preprint","citation":{"ieee":"F. Balestrieri, “Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups,” Proceedings of the American Mathematical Society, vol. 151, no. 3. American Mathematical Society, pp. 907–914, 2023.","ista":"Balestrieri F. 2023. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. 151(3), 907–914.","ama":"Balestrieri F. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. 2023;151(3):907-914. doi:10.1090/proc/15239","short":"F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.","mla":"Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.” Proceedings of the American Mathematical Society, vol. 151, no. 3, American Mathematical Society, 2023, pp. 907–14, doi:10.1090/proc/15239.","chicago":"Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.” Proceedings of the American Mathematical Society. American Mathematical Society, 2023. https://doi.org/10.1090/proc/15239.","apa":"Balestrieri, F. (2023). Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/15239"},"month":"01","publisher":"American Mathematical Society","date_published":"2023-01-01T00:00:00Z","isi":1,"intvolume":" 151","publication":"Proceedings of the American Mathematical Society","date_created":"2023-01-29T23:00:58Z","year":"2023","publication_status":"published","date_updated":"2026-07-29T10:09:11Z","scopus_import":"1","author":[{"full_name":"Balestrieri, Francesca","id":"3ACCD756-F248-11E8-B48F-1D18A9856A87","last_name":"Balestrieri","first_name":"Francesca"}],"type":"journal_article","abstract":[{"text":"Let k be a number field and X a smooth, geometrically integral quasi-projective variety over k. For any linear algebraic group G over k and any G-torsor g : Z → X, we observe that if the étale-Brauer obstruction is the only one for strong approximation off a finite set of places S for all twists of Z by elements in H^1(k, G), then the étale-Brauer obstruction is the only one for strong approximation off a finite set of places S for X. As an application, we show that any homogeneous space of the form G/H with G a connected linear algebraic group over k satisfies strong approximation off the infinite places with étale-Brauer obstruction, under some compactness assumptions when k is totally real. We also prove more refined strong approximation results for homogeneous spaces of the form G/H with G semisimple simply connected and H finite, using the theory of torsors and descent.","lang":"eng"}],"language":[{"iso":"eng"}],"quality_controlled":"1","status":"public","main_file_link":[{"url":"https://hal.science/hal-03013498/","open_access":"1"}],"volume":151,"article_type":"original","external_id":{"isi":["000898440000001"]},"das_tickbox":"0","article_processing_charge":"No","issue":"3","corr_author":"1","researchdata_availability":"no","oa":1,"doi":"10.1090/proc/15239","department":[{"_id":"TiBr"}],"fulldoi":"https://doi.org/10.1090/proc/15239","supplementarymaterial":"no","day":"01","page":"907-914","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"_id":"12427","title":"Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345"},{"issue":"1","corr_author":"1","researchdata_availability":"no","doi":"10.2422/2036-2145.202010_018","oa":1,"volume":24,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2007.14182"}],"das_tickbox":"0","external_id":{"arxiv":["2007.14182"]},"article_type":"original","article_processing_charge":"No","_id":"12916","title":"Uniform bounds for rational points on hyperelliptic fibrations","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","department":[{"_id":"TiBr"}],"supplementarymaterial":"no","fulldoi":"https://doi.org/10.2422/2036-2145.202010_018","day":"16","page":"173-204","publication_identifier":{"eissn":["2036-2145"],"issn":["0391-173X"]},"arxiv":1,"intvolume":" 24","publication_status":"published","date_created":"2023-05-07T22:01:04Z","publication":"Annali della Scuola Normale Superiore di Pisa, Classe di Scienze","year":"2023","citation":{"chicago":"Bonolis, Dante, and Timothy D Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale, 2023. https://doi.org/10.2422/2036-2145.202010_018.","mla":"Bonolis, Dante, and Timothy D. Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, vol. 24, no. 1, Scuola Normale Superiore - Edizioni della Normale, 2023, pp. 173–204, doi:10.2422/2036-2145.202010_018.","apa":"Bonolis, D., & Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202010_018","short":"D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze 24 (2023) 173–204.","ieee":"D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023.","ista":"Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 24(1), 173–204.","ama":"Bonolis D, Browning TD. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2023;24(1):173-204. doi:10.2422/2036-2145.202010_018"},"oa_version":"Preprint","publisher":"Scuola Normale Superiore - Edizioni della Normale","month":"02","date_published":"2023-02-16T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"abstract":[{"text":"We apply a variant of the square-sieve to produce an upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over P1 whose general fibre is a hyperelliptic curve. The implied constant does not depend on the coefficients of the polynomial defining the surface.\r\n","lang":"eng"}],"quality_controlled":"1","status":"public","scopus_import":"1","date_updated":"2026-07-29T10:10:35Z","author":[{"first_name":"Dante","last_name":"Bonolis","id":"6A459894-5FDD-11E9-AF35-BB24E6697425","full_name":"Bonolis, Dante"},{"orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}]},{"title":"Local solubility for a family of quadrics over a split quadric surface","_id":"13180","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.2140/involve.2023.16.331","supplementarymaterial":"no","department":[{"_id":"TiBr"}],"publication_identifier":{"issn":["1944-4176"],"eissn":["1944-4184"]},"page":"331-342","arxiv":1,"day":"26","corr_author":"1","issue":"2","doi":"10.2140/involve.2023.16.331","oa":1,"researchdata_availability":"no","main_file_link":[{"url":"https://arxiv.org/abs/2203.06881","open_access":"1"}],"volume":16,"article_processing_charge":"No","external_id":{"arxiv":["2203.06881"]},"article_type":"original","das_tickbox":"0","abstract":[{"text":"We study the density of everywhere locally soluble diagonal quadric surfaces, parameterised by rational points that lie on a split quadric surface","lang":"eng"}],"language":[{"iso":"eng"}],"type":"journal_article","quality_controlled":"1","status":"public","date_updated":"2026-07-29T10:11:41Z","scopus_import":"1","author":[{"orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"},{"last_name":"Lyczak","first_name":"Julian","full_name":"Lyczak, Julian","id":"3572849A-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Sarapin, Roman","last_name":"Sarapin","first_name":"Roman"}],"intvolume":" 16","date_created":"2023-07-02T22:00:43Z","year":"2023","publication":"Involve","publication_status":"published","citation":{"ista":"Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics over a split quadric surface. Involve. 16(2), 331–342.","ieee":"T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” Involve, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023.","ama":"Browning TD, Lyczak J, Sarapin R. Local solubility for a family of quadrics over a split quadric surface. Involve. 2023;16(2):331-342. doi:10.2140/involve.2023.16.331","mla":"Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” Involve, vol. 16, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–42, doi:10.2140/involve.2023.16.331.","chicago":"Browning, Timothy D, Julian Lyczak, and Roman Sarapin. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” Involve. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/involve.2023.16.331.","apa":"Browning, T. D., Lyczak, J., & Sarapin, R. (2023). Local solubility for a family of quadrics over a split quadric surface. Involve. Mathematical Sciences Publishers. https://doi.org/10.2140/involve.2023.16.331","short":"T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342."},"oa_version":"Preprint","date_published":"2023-05-26T00:00:00Z","month":"05","publisher":"Mathematical Sciences Publishers"},{"title":"Equidistribution of primitive lattices in ℝn","_id":"14717","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","fulldoi":"https://doi.org/10.1093/qmath/haad008","supplementarymaterial":"no","department":[{"_id":"TiBr"}],"day":"01","arxiv":1,"page":"1253-1294","publication_identifier":{"issn":["0033-5606"],"eissn":["1464-3847"]},"corr_author":"1","issue":"4","project":[{"_id":"26A8D266-B435-11E9-9278-68D0E5697425","name":"Between rational and integral points","grant_number":"EP-P026710-2"}],"doi":"10.1093/qmath/haad008","oa":1,"researchdata_availability":"no","file":[{"access_level":"open_access","success":1,"date_updated":"2024-01-02T07:37:09Z","relation":"main_file","content_type":"application/pdf","file_id":"14720","date_created":"2024-01-02T07:37:09Z","file_name":"2023_QuarterlyJourMath_Horesh.pdf","file_size":724748,"checksum":"bf29baa9eae8500f3374dbcb80712687","creator":"dernst"}],"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)"},"volume":74,"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","das_tickbox":"0","article_type":"original","external_id":{"arxiv":["2012.04508"],"isi":["001005945400001"]},"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We count primitive lattices of rank d inside Zn as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include, for example, the subspace that a lattice spans, namely its projection to the Grassmannian; its homothety class and its equivalence class modulo rescaling and rotation, often referred to as a shape. We add to a prior work of Schmidt by allowing sets in the spaces of parameters that are general enough to conclude the joint equidistribution of these parameters. In addition to the primitive d-lattices Λ themselves, we also consider their orthogonal complements in Zn, A1, and show that the equidistribution occurs jointly for Λ and A1. Finally, our asymptotic formulas for the number of primitive lattices include an explicit bound on the error term."}],"type":"journal_article","status":"public","quality_controlled":"1","scopus_import":"1","date_updated":"2026-07-29T10:22:09Z","author":[{"last_name":"Horesh","first_name":"Tal","full_name":"Horesh, Tal","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425"},{"last_name":"Karasik","first_name":"Yakov","full_name":"Karasik, Yakov"}],"file_date_updated":"2024-01-02T07:37:09Z","intvolume":" 74","isi":1,"acknowledgement":"This work was done when both authors were visiting Institute of Science and Technology (IST) Austria. T.H. was being supported by Engineering and Physical Sciences Research Council grant EP/P026710/1. Y.K. had a great time there and is grateful for the hospitality. The appendix to this paper is largely based on a mini course T.H. had given at IST in February 2020.","publication_status":"published","date_created":"2023-12-31T23:01:03Z","publication":"Quarterly Journal of Mathematics","year":"2023","citation":{"ista":"Horesh T, Karasik Y. 2023. Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. 74(4), 1253–1294.","ieee":"T. Horesh and Y. Karasik, “Equidistribution of primitive lattices in ℝn,” Quarterly Journal of Mathematics, vol. 74, no. 4. Oxford University Press, pp. 1253–1294, 2023.","ama":"Horesh T, Karasik Y. Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. 2023;74(4):1253-1294. doi:10.1093/qmath/haad008","short":"T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.","mla":"Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” Quarterly Journal of Mathematics, vol. 74, no. 4, Oxford University Press, 2023, pp. 1253–94, doi:10.1093/qmath/haad008.","chicago":"Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” Quarterly Journal of Mathematics. Oxford University Press, 2023. https://doi.org/10.1093/qmath/haad008.","apa":"Horesh, T., & Karasik, Y. (2023). Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qmath/haad008"},"oa_version":"Published Version","date_published":"2023-12-01T00:00:00Z","publisher":"Oxford University Press","ddc":["510"],"month":"12"},{"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"p-adic directions of primitive vectors","_id":"18179","arxiv":1,"publication_identifier":{"eissn":["2592-6616"],"issn":["2804-8504"]},"page":"85-107","day":"15","fulldoi":"https://doi.org/10.5802/pmb.50","supplementarymaterial":"no","department":[{"_id":"TiBr"}],"doi":"10.5802/pmb.50","project":[{"grant_number":"EP-P026710-2","name":"Between rational and integral points","_id":"26A8D266-B435-11E9-9278-68D0E5697425"}],"oa":1,"tmp":{"image":"/image/cc_by_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"file":[{"file_size":1399390,"file_name":"2023_MathBesancon_Guilloux.pdf","creator":"dernst","checksum":"cefc47a2cf55a87f8e4960197f73353b","content_type":"application/pdf","file_id":"18186","date_created":"2024-10-07T11:32:32Z","success":1,"relation":"main_file","date_updated":"2024-10-07T11:32:32Z","access_level":"open_access"}],"researchdata_availability":"no","corr_author":"1","article_processing_charge":"Yes (in subscription journal)","article_type":"original","external_id":{"arxiv":["2103.10889"]},"das_tickbox":"0","has_accepted_license":"1","volume":2023,"quality_controlled":"1","status":"public","abstract":[{"text":"Linnik type problems concern the distribution of projections of integral points on the unit sphere as their norm increases, and different generalizations of this phenomenon. Our work addresses a question of this type: we prove the uniform distribution of the projections of primitive Z2 points in the p-adic unit sphere, as their (real) norm tends to infinity. The proof is via counting lattice points in semi-simple S-arithmetic groups.","lang":"eng"},{"text":"Les problèmes de type Linnik concernent la distribution des projections des points entiers sur la sphère unitaire lorsque leur norme augmente et différentes généralisations de ce phénomène. Notre travail s’intéresse à une question de ce type : nous prouvons la distribution uniforme des projections des points primitifs de Z2 sur la sphère unitaire p-adique lorsque leur norme (réelle) tend vers l’infini. La preuve se fait en comptant les points d’un réseau dans des S-groupes arithmétiques semi-simples.","lang":"fre"}],"language":[{"iso":"eng"}],"type":"journal_article","author":[{"last_name":"Guilloux","first_name":"Antonin","full_name":"Guilloux, Antonin"},{"first_name":"Tal","last_name":"Horesh","id":"C8B7BF48-8D81-11E9-BCA9-F536E6697425","full_name":"Horesh, Tal"}],"date_updated":"2026-07-29T10:40:38Z","scopus_import":"1","year":"2023","publication":"Publications mathématiques de Besançon - Algèbre et Théorie des nombres","date_created":"2024-10-06T22:01:13Z","publication_status":"published","file_date_updated":"2024-10-07T11:32:32Z","acknowledgement":"The second author is supported by EPRSC grant EP/P026710/1.","intvolume":" 2023","date_published":"2023-06-15T00:00:00Z","ddc":["510"],"month":"06","publisher":"Presses Universitaires de Franche-Comté","oa_version":"Published Version","citation":{"apa":"Guilloux, A., & Horesh, T. (2023). p-adic directions of primitive vectors. Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres. Presses Universitaires de Franche-Comté. https://doi.org/10.5802/pmb.50","chicago":"Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres. Presses Universitaires de Franche-Comté, 2023. https://doi.org/10.5802/pmb.50.","mla":"Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres, vol. 2023, Presses Universitaires de Franche-Comté, 2023, pp. 85–107, doi:10.5802/pmb.50.","short":"A. Guilloux, T. Horesh, Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres 2023 (2023) 85–107.","ama":"Guilloux A, Horesh T. p-adic directions of primitive vectors. Publications mathématiques de Besançon - Algèbre et Théorie des nombres. 2023;2023:85-107. doi:10.5802/pmb.50","ieee":"A. Guilloux and T. Horesh, “p-adic directions of primitive vectors,” Publications mathématiques de Besançon - Algèbre et Théorie des nombres, vol. 2023. Presses Universitaires de Franche-Comté, pp. 85–107, 2023.","ista":"Guilloux A, Horesh T. 2023. p-adic directions of primitive vectors. Publications mathématiques de Besançon - Algèbre et Théorie des nombres. 2023, 85–107."}},{"status":"public","quality_controlled":"1","language":[{"iso":"eng"}],"related_material":{"link":[{"url":"https://ist.ac.at/en/news/when-is-necessary-sufficient/","relation":"press_release","description":"News on IST Homepage"}]},"abstract":[{"lang":"eng","text":"It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover, for such varieties it follows from a general conjecture of Colliot-Thélène that the Brauer--Manin obstruction to the Hasse principle should be the only one, so that the Hasse principle is expected to hold. Working over the field of rational numbers and ordering Fano hypersurfaces of fixed degree and dimension by height, we prove that almost every such hypersurface satisfies the Hasse principle provided that the dimension is at least 3. This proves a conjecture of Poonen and Voloch in every case except for cubic surfaces."}],"type":"journal_article","author":[{"orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"},{"first_name":"Pierre Le","last_name":"Boudec","full_name":"Boudec, Pierre Le"},{"full_name":"Sawin, Will","last_name":"Sawin","first_name":"Will"}],"scopus_import":"1","date_updated":"2026-07-29T10:41:58Z","publication_status":"published","publication":"Annals of Mathematics","date_created":"2020-10-19T14:28:50Z","year":"2023","intvolume":" 197","isi":1,"date_published":"2023-05-01T00:00:00Z","publisher":"Princeton University","month":"05","oa_version":"Preprint","citation":{"mla":"Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics, vol. 197, no. 3, Princeton University, 2023, pp. 1115–203, doi:10.4007/annals.2023.197.3.3.","chicago":"Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics. Princeton University, 2023. https://doi.org/10.4007/annals.2023.197.3.3.","apa":"Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2023.197.3.3","short":"T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.","ista":"Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.","ieee":"T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023.","ama":"Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 2023;197(3):1115-1203. doi:10.4007/annals.2023.197.3.3"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"The Hasse principle for random Fano hypersurfaces","_id":"8682","page":"1115-1203","day":"01","publication_identifier":{"issn":["0003-486X"]},"arxiv":1,"fulldoi":"https://doi.org/10.4007/annals.2023.197.3.3","supplementarymaterial":"no","department":[{"_id":"TiBr"}],"doi":"10.4007/annals.2023.197.3.3","oa":1,"researchdata_availability":"no","corr_author":"1","issue":"3","article_processing_charge":"No","das_tickbox":"0","article_type":"original","external_id":{"isi":["000966611000003"],"arxiv":["2006.02356"]},"volume":197,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2006.02356"}]},{"date_published":"2023-04-01T00:00:00Z","month":"04","publisher":"Oxford University Press","oa_version":"Preprint","citation":{"ieee":"F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,” International Mathematics Research Notices, vol. 2023, no. 8. Oxford University Press, pp. 6780–6808, 2023.","ista":"Wilsch FA. 2023. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023(8), 6780–6808.","ama":"Wilsch FA. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023;2023(8):6780-6808. doi:10.1093/imrn/rnac048","short":"F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.","chicago":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices. Oxford University Press, 2023. https://doi.org/10.1093/imrn/rnac048.","mla":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices, vol. 2023, no. 8, Oxford University Press, 2023, pp. 6780–808, doi:10.1093/imrn/rnac048.","apa":"Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnac048"},"publication":"International Mathematics Research Notices","date_created":"2021-01-22T09:31:09Z","year":"2023","publication_status":"published","isi":1,"acknowledgement":"This work was supported by the German Academic Exchange Service. Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute for its hospitality, as well as the anonymous referee for several useful remarks and suggestions for improvements.","intvolume":" 2023","author":[{"orcid":"0000-0001-7302-8256","id":"560601DA-8D36-11E9-A136-7AC1E5697425","full_name":"Wilsch, Florian Alexander","first_name":"Florian Alexander","last_name":"Wilsch"}],"date_updated":"2026-07-29T10:43:18Z","scopus_import":"1","quality_controlled":"1","status":"public","abstract":[{"text":"We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of P3 outside certain planes using universal torsors.","lang":"eng"}],"language":[{"iso":"eng"}],"type":"journal_article","article_processing_charge":"No","external_id":{"arxiv":["1901.08503"],"isi":["000773116000001"]},"article_type":"original","das_tickbox":"0","main_file_link":[{"url":"https://arxiv.org/abs/1901.08503","open_access":"1"}],"volume":2023,"oa":1,"doi":"10.1093/imrn/rnac048","researchdata_availability":"no","corr_author":"1","issue":"8","page":"6780-6808","arxiv":1,"day":"01","publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"supplementarymaterial":"no","fulldoi":"https://doi.org/10.1093/imrn/rnac048","department":[{"_id":"TiBr"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Integral points of bounded height on a log Fano threefold","_id":"9034"},{"year":"2023","date_created":"2023-05-28T22:01:04Z","publication":"Frontiers in Neural Circuits","publication_status":"published","article_number":"1146449","isi":1,"acknowledgement":"This work was supported by the ERC Starting grant, ERC-2021-STG #101041551.","intvolume":" 17","file_date_updated":"2024-01-03T13:33:21Z","ddc":["570"],"month":"04","publisher":"Frontiers","pmid":1,"date_published":"2023-04-26T00:00:00Z","oa_version":"Published Version","citation":{"ieee":"A. C. Wilson and L. B. Sweeney, “Spinal cords: Symphonies of interneurons across species,” Frontiers in Neural Circuits, vol. 17. Frontiers, 2023.","ista":"Wilson AC, Sweeney LB. 2023. Spinal cords: Symphonies of interneurons across species. Frontiers in Neural Circuits. 17, 1146449.","ama":"Wilson AC, Sweeney LB. Spinal cords: Symphonies of interneurons across species. Frontiers in Neural Circuits. 2023;17. doi:10.3389/fncir.2023.1146449","short":"A.C. Wilson, L.B. Sweeney, Frontiers in Neural Circuits 17 (2023).","mla":"Wilson, Alexia C., and Lora B. Sweeney. “Spinal Cords: Symphonies of Interneurons across Species.” Frontiers in Neural Circuits, vol. 17, 1146449, Frontiers, 2023, doi:10.3389/fncir.2023.1146449.","chicago":"Wilson, Alexia C, and Lora B. Sweeney. “Spinal Cords: Symphonies of Interneurons across Species.” Frontiers in Neural Circuits. Frontiers, 2023. https://doi.org/10.3389/fncir.2023.1146449.","apa":"Wilson, A. C., & Sweeney, L. B. (2023). Spinal cords: Symphonies of interneurons across species. Frontiers in Neural Circuits. Frontiers. https://doi.org/10.3389/fncir.2023.1146449"},"quality_controlled":"1","status":"public","type":"journal_article","abstract":[{"lang":"eng","text":"Vertebrate movement is orchestrated by spinal inter- and motor neurons that, together with sensory and cognitive input, produce dynamic motor behaviors. These behaviors vary from the simple undulatory swimming of fish and larval aquatic species to the highly coordinated running, reaching and grasping of mice, humans and other mammals. This variation raises the fundamental question of how spinal circuits have changed in register with motor behavior. In simple, undulatory fish, exemplified by the lamprey, two broad classes of interneurons shape motor neuron output: ipsilateral-projecting excitatory neurons, and commissural-projecting inhibitory neurons. An additional class of ipsilateral inhibitory neurons is required to generate escape swim behavior in larval zebrafish and tadpoles. In limbed vertebrates, a more complex spinal neuron composition is observed. In this review, we provide evidence that movement elaboration correlates with an increase and specialization of these three basic interneuron types into molecularly, anatomically, and functionally distinct subpopulations. We summarize recent work linking neuron types to movement-pattern generation across fish, amphibians, reptiles, birds and mammals."}],"related_material":{"record":[{"relation":"dissertation_contains","id":"20735","status":"public"}]},"language":[{"iso":"eng"}],"author":[{"id":"5230e794-15b2-11ec-abd3-e2d5335ebd1d","full_name":"Wilson, Alexia C","first_name":"Alexia C","last_name":"Wilson","orcid":"0000-0001-6191-1367"},{"orcid":"0000-0001-9242-5601","id":"56BE8254-C4F0-11E9-8E45-0B23E6697425","full_name":"Sweeney, Lora Beatrice Jaeger","first_name":"Lora Beatrice Jaeger","last_name":"Sweeney"}],"date_updated":"2026-07-29T12:55:11Z","scopus_import":"1","file":[{"content_type":"application/pdf","file_id":"14729","date_created":"2024-01-03T13:33:21Z","file_name":"2023_FrontiersNeuralCircuits_Wilson.pdf","file_size":6667157,"creator":"dernst","checksum":"7efd06de284a28e91e97127611a9c3fd","access_level":"open_access","success":1,"date_updated":"2024-01-03T13:33:21Z","relation":"main_file"}],"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)"},"doi":"10.3389/fncir.2023.1146449","project":[{"grant_number":"101041551","name":"Development and Evolution of Tetrapod Motor Circuits","_id":"ebb66355-77a9-11ec-83b8-b8ac210a4dae"}],"oa":1,"corr_author":"1","external_id":{"pmid":["37180760"],"isi":["000984606200001"]},"article_type":"original","article_processing_charge":"Yes","has_accepted_license":"1","volume":17,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"13097","title":"Spinal cords: Symphonies of interneurons across species","day":"26","publication_identifier":{"issn":["1662-5110"]},"department":[{"_id":"LoSw"}],"fulldoi":"https://doi.org/10.3389/fncir.2023.1146449"},{"status":"public","quality_controlled":"1","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"21393"}],"link":[{"relation":"software","url":"https://github.com/madvorak/grammars/tree/publish"}]},"abstract":[{"lang":"eng","text":"We formalized general (i.e., type-0) grammars using the Lean 3 proof assistant. We defined basic notions of rewrite rules and of words derived by a grammar, and used grammars to show closure of the class of type-0 languages under four operations: union, reversal, concatenation, and the Kleene star. The literature mostly focuses on Turing machine arguments, which are possibly more difficult to formalize. For the Kleene star, we could not follow the literature and came up with our own grammar-based construction."}],"language":[{"iso":"eng"}],"type":"conference","author":[{"full_name":"Dvorak, Martin","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","last_name":"Dvorak","first_name":"Martin","orcid":"0000-0001-5293-214X"},{"full_name":"Blanchette, Jasmin","first_name":"Jasmin","last_name":"Blanchette"}],"date_updated":"2026-07-29T12:56:51Z","scopus_import":"1","year":"2023","publication":"14th International Conference on Interactive Theorem Proving","date_created":"2023-06-05T07:29:05Z","publication_status":"published","file_date_updated":"2023-08-07T11:55:43Z","isi":1,"acknowledgement":"Jasmin Blanchette: This research has received funding from the Netherlands Organization\r\nfor Scientific Research (NWO) under the Vidi program (project No. 016.Vidi.189.037, Lean Forward).\r\n__\r\nWe thank Vladimir Kolmogorov for making this collaboration possible. We\r\nthank Václav Končický for discussing ideas about the Kleene star construction. We thank Patrick Johnson, Floris van Doorn, and Damiano Testa for their small yet very valuable contributions to our code. We thank Eric Wieser for simplifying one of our proofs. We thank Mark Summerfield for suggesting textual improvements. We thank the anonymous reviewers for very helpful comments. Finally, we thank the Lean community for helping us with various technical issues and answering many questions. ","article_number":"15","intvolume":" 268","date_published":"2023-07-27T00:00:00Z","month":"07","ddc":["000"],"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","oa_version":"Published Version","citation":{"ista":"Dvorak M, Blanchette J. 2023. Closure properties of general grammars - formally verified. 14th International Conference on Interactive Theorem Proving. ITP: Interactive Theorem Proving, LIPIcs, vol. 268, 15.","ieee":"M. Dvorak and J. Blanchette, “Closure properties of general grammars - formally verified,” in 14th International Conference on Interactive Theorem Proving, Bialystok, Poland, 2023, vol. 268.","ama":"Dvorak M, Blanchette J. Closure properties of general grammars - formally verified. In: 14th International Conference on Interactive Theorem Proving. Vol 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:10.4230/LIPIcs.ITP.2023.15","short":"M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.","mla":"Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars - Formally Verified.” 14th International Conference on Interactive Theorem Proving, vol. 268, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:10.4230/LIPIcs.ITP.2023.15.","chicago":"Dvorak, Martin, and Jasmin Blanchette. “Closure Properties of General Grammars - Formally Verified.” In 14th International Conference on Interactive Theorem Proving, Vol. 268. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023. https://doi.org/10.4230/LIPIcs.ITP.2023.15.","apa":"Dvorak, M., & Blanchette, J. (2023). Closure properties of general grammars - formally verified. In 14th International Conference on Interactive Theorem Proving (Vol. 268). Bialystok, Poland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.ITP.2023.15"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Closure properties of general grammars - formally verified","_id":"13120","arxiv":1,"publication_identifier":{"eissn":["1868-8969"],"isbn":["9783959772846"]},"day":"27","fulldoi":"https://doi.org/10.4230/LIPIcs.ITP.2023.15","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"oa":1,"doi":"10.4230/LIPIcs.ITP.2023.15","file":[{"date_created":"2023-08-07T11:55:43Z","file_id":"13982","content_type":"application/pdf","creator":"dernst","checksum":"773a0197f05b67feaa6cb1e17ec3642d","file_size":715976,"file_name":"2023_LIPIcS_Dvorak.pdf","access_level":"open_access","relation":"main_file","date_updated":"2023-08-07T11:55:43Z","success":1}],"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)"},"corr_author":"1","conference":{"name":"ITP: Interactive Theorem Proving","start_date":"2023-07-31","location":"Bialystok, Poland","end_date":"2023-08-04"},"alternative_title":["LIPIcs"],"article_processing_charge":"No","external_id":{"arxiv":["2302.06420"],"isi":["001515590500015"]},"has_accepted_license":"1","volume":268},{"_id":"13049","title":"PCBend: Light up your 3D shapes with foldable circuit boards","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","ec_funded":1,"department":[{"_id":"GradSch"},{"_id":"BeBi"}],"acknowledged_ssus":[{"_id":"M-Shop"}],"fulldoi":"https://doi.org/10.1145/3592411","day":"26","publication_identifier":{"eissn":["1557-7368"],"issn":["0730-0301"]},"conference":{"end_date":"2023-08-10","location":"Los Angeles, CA, United States","start_date":"2023-08-06","name":"SIGGRAPH: Computer Graphics and Interactive Techniques Conference"},"issue":"4","corr_author":"1","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)"},"file":[{"date_created":"2023-06-19T11:02:23Z","file_id":"13156","content_type":"application/pdf","checksum":"a0b0ba3b36f43a94388e8824613d812a","creator":"dernst","file_name":"2023_ACMToG_Freire.pdf","file_size":78940724,"access_level":"open_access","relation":"main_file","date_updated":"2023-06-19T11:02:23Z","success":1},{"checksum":"b9206bbb67af82df49b7e7cdbde3410c","creator":"dernst","file_size":34345905,"file_name":"2023_ACMToG_SuppMaterial_Freire.pdf","date_created":"2023-06-20T12:20:51Z","file_id":"13157","content_type":"application/pdf","date_updated":"2023-06-20T12:20:51Z","relation":"main_file","success":1,"access_level":"open_access"}],"keyword":["PCB design and layout","Mesh geometry models"],"doi":"10.1145/3592411","project":[{"_id":"24F9549A-B435-11E9-9278-68D0E5697425","grant_number":"715767","name":"MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and Modeling","call_identifier":"H2020"}],"oa":1,"volume":42,"has_accepted_license":"1","article_type":"original","external_id":{"isi":["001044671300108"]},"article_processing_charge":"No","type":"journal_article","abstract":[{"lang":"eng","text":"We propose a computational design approach for covering a surface with individually addressable RGB LEDs, effectively forming a low-resolution surface screen. To achieve a low-cost and scalable approach, we propose creating designs from flat PCB panels bent in-place along the surface of a 3D printed core. Working with standard rigid PCBs enables the use of\r\nestablished PCB manufacturing services, allowing the fabrication of designs with several hundred LEDs. \r\nOur approach optimizes the PCB geometry for folding, and then jointly optimizes the LED packing, circuit and routing, solving a challenging layout problem under strict manufacturing requirements. Unlike paper, PCBs cannot bend beyond a certain point without breaking. Therefore, we introduce parametric cut patterns acting as hinges, designed to allow bending while remaining compact. To tackle the joint optimization of placement, circuit and routing, we propose a specialized algorithm that splits the global problem into one sub-problem per triangle, which is then individually solved.\r\nOur technique generates PCB blueprints in a completely automated way. After being fabricated by a PCB manufacturing service, the boards are bent and glued by the user onto the 3D printed support. We demonstrate our technique on a range of physical models and virtual examples, creating intricate surface light patterns from hundreds of LEDs."}],"related_material":{"record":[{"status":"public","id":"20276","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}],"status":"public","quality_controlled":"1","date_updated":"2026-07-29T13:03:30Z","scopus_import":"1","author":[{"full_name":"Freire, Marco","last_name":"Freire","first_name":"Marco"},{"id":"FF8FA64C-AA6A-11E9-99AD-50D4E5697425","full_name":"Bhargava, Manas","first_name":"Manas","last_name":"Bhargava","orcid":"0009-0007-6138-6890"},{"full_name":"Schreck, Camille","id":"2B14B676-F248-11E8-B48F-1D18A9856A87","last_name":"Schreck","first_name":"Camille"},{"first_name":"Pierre-Alexandre","last_name":"Hugron","full_name":"Hugron, Pierre-Alexandre"},{"last_name":"Bickel","first_name":"Bernd","full_name":"Bickel, Bernd","id":"49876194-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6511-9385"},{"last_name":"Lefebvre","first_name":"Sylvain","full_name":"Lefebvre, Sylvain"}],"isi":1,"acknowledgement":"We thank the reviewers for the valuable feedback. We also thank the Miba Machine Shop at ISTA, PCBWay, and PragoBoard for helping us with fabrication and assembly. This project was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 715767 – MATERIALIZABLE).","article_number":"142","intvolume":" 42","file_date_updated":"2023-06-20T12:20:51Z","year":"2023","date_created":"2023-05-22T08:37:04Z","publication":"Transactions on Graphics","publication_status":"published","oa_version":"Submitted Version","citation":{"short":"M. Freire, M. Bhargava, C. Schreck, P.-A. Hugron, B. Bickel, S. Lefebvre, Transactions on Graphics 42 (2023).","mla":"Freire, Marco, et al. “PCBend: Light up Your 3D Shapes with Foldable Circuit Boards.” Transactions on Graphics, vol. 42, no. 4, 142, Association for Computing Machinery, 2023, doi:10.1145/3592411.","chicago":"Freire, Marco, Manas Bhargava, Camille Schreck, Pierre-Alexandre Hugron, Bernd Bickel, and Sylvain Lefebvre. “PCBend: Light up Your 3D Shapes with Foldable Circuit Boards.” Transactions on Graphics. Association for Computing Machinery, 2023. https://doi.org/10.1145/3592411.","apa":"Freire, M., Bhargava, M., Schreck, C., Hugron, P.-A., Bickel, B., & Lefebvre, S. (2023). PCBend: Light up your 3D shapes with foldable circuit boards. Transactions on Graphics. Los Angeles, CA, United States: Association for Computing Machinery. https://doi.org/10.1145/3592411","ieee":"M. Freire, M. Bhargava, C. Schreck, P.-A. Hugron, B. Bickel, and S. Lefebvre, “PCBend: Light up your 3D shapes with foldable circuit boards,” Transactions on Graphics, vol. 42, no. 4. Association for Computing Machinery, 2023.","ista":"Freire M, Bhargava M, Schreck C, Hugron P-A, Bickel B, Lefebvre S. 2023. PCBend: Light up your 3D shapes with foldable circuit boards. Transactions on Graphics. 42(4), 142.","ama":"Freire M, Bhargava M, Schreck C, Hugron P-A, Bickel B, Lefebvre S. PCBend: Light up your 3D shapes with foldable circuit boards. Transactions on Graphics. 2023;42(4). doi:10.1145/3592411"},"month":"07","ddc":["006"],"publisher":"Association for Computing Machinery","date_published":"2023-07-26T00:00:00Z"}]