[{"author":[{"first_name":"Benjamin","full_name":"Harrop-Griffiths, Benjamin","last_name":"Harrop-Griffiths"},{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"last_name":"Visan","full_name":"Visan, Monica","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"publisher":"American Mathematical Society","type":"journal_article","date_updated":"2026-06-30T11:13:33Z","day":"12","language":[{"iso":"eng"}],"date_published":"2026-06-12T00:00:00Z","OA_type":"green","doi":"10.1090/proc/17760","article_processing_charge":"No","oa_version":"Preprint","publication":"Proceedings of the American Mathematical Society","abstract":[{"text":"We consider the cubic defocusing nonlinear Schrödinger equation in one dimension with the nonlinearity concentrated at a single point. We prove global well-posedness in the scaling-critical space L^2(R) and scattering for all such solutions. Moreover, we demonstrate that the same phenomenology holds whenever nonlinear effects are sufficiently concentrated in space.","lang":"eng"}],"status":"public","citation":{"ama":"Harrop-Griffiths B, Killip R, Vişan M. Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity. <i>Proceedings of the American Mathematical Society</i>. 2026. doi:<a href=\"https://doi.org/10.1090/proc/17760\">10.1090/proc/17760</a>","apa":"Harrop-Griffiths, B., Killip, R., &#38; Vişan, M. (2026). Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/17760\">https://doi.org/10.1090/proc/17760</a>","ista":"Harrop-Griffiths B, Killip R, Vişan M. 2026. Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity. Proceedings of the American Mathematical Society.","short":"B. Harrop-Griffiths, R. Killip, M. Vişan, Proceedings of the American Mathematical Society (2026).","mla":"Harrop-Griffiths, Benjamin, et al. “Scattering for the Nonlinear Schrödinger Equation with Concentrated Nonlinearity.” <i>Proceedings of the American Mathematical Society</i>, American Mathematical Society, 2026, doi:<a href=\"https://doi.org/10.1090/proc/17760\">10.1090/proc/17760</a>.","chicago":"Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Scattering for the Nonlinear Schrödinger Equation with Concentrated Nonlinearity.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2026. <a href=\"https://doi.org/10.1090/proc/17760\">https://doi.org/10.1090/proc/17760</a>.","ieee":"B. Harrop-Griffiths, R. Killip, and M. Vişan, “Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity,” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2026."},"title":"Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2507.14571","open_access":"1"}],"date_created":"2026-06-19T08:59:17Z","extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"22097","publication_identifier":{"issn":["0002-9939"],"eissn":["1088-6826"]},"OA_place":"repository","external_id":{"arxiv":["2507.14571"]},"arxiv":1,"year":"2026","das_tickbox":"1","month":"06","oa":1,"scopus_import":"1","article_type":"original","publication_status":"epub_ahead"},{"year":"2026","external_id":{"arxiv":["2412.17599"]},"arxiv":1,"intvolume":"       154","month":"01","scopus_import":"1","article_type":"original","oa":1,"publication_status":"published","citation":{"mla":"Bradač, Domagoj, et al. “Ordered Ramsey Numbers of Graphs with 𝑚 Edges.” <i>Proceedings of the American Mathematical Society</i>, vol. 154, no. 3, American Mathematical Society, 2026, pp. 927–42, doi:<a href=\"https://doi.org/10.1090/proc/17442\">10.1090/proc/17442</a>.","ieee":"D. Bradač, P. Morawski, B. Sudakov, and Y. Wigderson, “Ordered Ramsey numbers of graphs with 𝑚 edges,” <i>Proceedings of the American Mathematical Society</i>, vol. 154, no. 3. American Mathematical Society, pp. 927–942, 2026.","chicago":"Bradač, Domagoj, Patryk Morawski, Benny Sudakov, and Yuval Wigderson. “Ordered Ramsey Numbers of Graphs with 𝑚 Edges.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2026. <a href=\"https://doi.org/10.1090/proc/17442\">https://doi.org/10.1090/proc/17442</a>.","ama":"Bradač D, Morawski P, Sudakov B, Wigderson Y. Ordered Ramsey numbers of graphs with 𝑚 edges. <i>Proceedings of the American Mathematical Society</i>. 2026;154(3):927-942. doi:<a href=\"https://doi.org/10.1090/proc/17442\">10.1090/proc/17442</a>","apa":"Bradač, D., Morawski, P., Sudakov, B., &#38; Wigderson, Y. (2026). Ordered Ramsey numbers of graphs with 𝑚 edges. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/17442\">https://doi.org/10.1090/proc/17442</a>","short":"D. Bradač, P. Morawski, B. Sudakov, Y. Wigderson, Proceedings of the American Mathematical Society 154 (2026) 927–942.","ista":"Bradač D, Morawski P, Sudakov B, Wigderson Y. 2026. Ordered Ramsey numbers of graphs with 𝑚 edges. Proceedings of the American Mathematical Society. 154(3), 927–942."},"quality_controlled":"1","title":"Ordered Ramsey numbers of graphs with 𝑚 edges","extern":"1","date_created":"2026-06-29T10:54:32Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2412.17599","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"22167","OA_place":"repository","publication_identifier":{"issn":["0002-9939"],"eissn":["1088-6826"]},"OA_type":"green","date_published":"2026-01-16T00:00:00Z","language":[{"iso":"eng"}],"volume":154,"doi":"10.1090/proc/17442","article_processing_charge":"No","page":"927-942","oa_version":"Preprint","publication":"Proceedings of the American Mathematical Society","issue":"3","status":"public","abstract":[{"lang":"eng","text":"Given a vertex-ordered graph G, the ordered Ramsey number\r\nr<(G) is the minimum integer N such that every 2-coloring of the edges of\r\nthe complete ordered graph KN contains a monochromatic ordered copy of G.\r\nMotivated by a similar question posed by Erd˝os and Graham [On partition\r\ntheorems for finite graphs, Infinite and finite sets (Colloq., Keszthely, 1973),\r\nNorth-Holland, Amsterdam-London, pp. 515–527] in the unordered setting,\r\nwe study the problem of bounding the ordered Ramsey number of any ordered graph G with m edges and no isolated vertices. We prove that r<(G) ≤\r\ne109√m(log log m)3/2\r\nfor any such G, which is tight up to the (log log m)3/2\r\nfactor in the exponent. As a corollary, we obtain the corresponding bound for\r\nthe oriented Ramsey number of a directed graph with m edges."}],"author":[{"first_name":"Domagoj","last_name":"Bradač","full_name":"Bradač, Domagoj"},{"first_name":"Patryk","last_name":"Morawski","full_name":"Morawski, Patryk"},{"first_name":"Benny","full_name":"Sudakov, Benny","last_name":"Sudakov"},{"full_name":"Wigderson, Yuval","last_name":"Wigderson","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval"}],"publisher":"American Mathematical Society","type":"journal_article","date_updated":"2026-07-14T08:34:43Z","day":"16"},{"citation":{"mla":"Hua, Bobo, et al. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.” <i>Proceedings of the American Mathematical Society</i>, vol. 151, no. 8, American Mathematical Society, 2023, pp. 3401–14, doi:<a href=\"https://doi.org/10.1090/proc/14361\">10.1090/proc/14361</a>.","chicago":"Hua, Bobo, Matthias Keller, Michael Schwarz, and Melchior Wirth. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2023. <a href=\"https://doi.org/10.1090/proc/14361\">https://doi.org/10.1090/proc/14361</a>.","ieee":"B. Hua, M. Keller, M. Schwarz, and M. Wirth, “Sobolev-type inequalities and eigenvalue growth on graphs with finite measure,” <i>Proceedings of the American Mathematical Society</i>, vol. 151, no. 8. American Mathematical Society, pp. 3401–3414, 2023.","apa":"Hua, B., Keller, M., Schwarz, M., &#38; Wirth, M. (2023). Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/14361\">https://doi.org/10.1090/proc/14361</a>","ama":"Hua B, Keller M, Schwarz M, Wirth M. Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. <i>Proceedings of the American Mathematical Society</i>. 2023;151(8):3401-3414. doi:<a href=\"https://doi.org/10.1090/proc/14361\">10.1090/proc/14361</a>","ista":"Hua B, Keller M, Schwarz M, Wirth M. 2023. Sobolev-type inequalities and eigenvalue growth on graphs with finite measure. Proceedings of the American Mathematical Society. 151(8), 3401–3414.","short":"B. Hua, M. Keller, M. Schwarz, M. Wirth, Proceedings of the American Mathematical Society 151 (2023) 3401–3414."},"date_created":"2023-07-02T22:00:43Z","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.1804.08353","open_access":"1"}],"title":"Sobolev-type inequalities and eigenvalue growth on graphs with finite measure","quality_controlled":"1","department":[{"_id":"JaMa"}],"_id":"13177","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"external_id":{"isi":["000988204400001"],"arxiv":["1804.08353"]},"arxiv":1,"year":"2023","intvolume":"       151","month":"08","publication_status":"published","acknowledgement":"The second author was supported by the priority program SPP2026 of the German Research Foundation (DFG). The fourth author was supported by the German Academic Scholarship Foundation (Studienstiftung des deutschen Volkes) and by the German Research Foundation (DFG) via RTG 1523/2.","scopus_import":"1","oa":1,"article_type":"original","author":[{"full_name":"Hua, Bobo","last_name":"Hua","first_name":"Bobo"},{"full_name":"Keller, Matthias","last_name":"Keller","first_name":"Matthias"},{"first_name":"Michael","full_name":"Schwarz, Michael","last_name":"Schwarz"},{"last_name":"Wirth","full_name":"Wirth, Melchior","orcid":"0000-0002-0519-4241","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","first_name":"Melchior"}],"publisher":"American Mathematical Society","type":"journal_article","date_updated":"2024-10-09T21:05:50Z","isi":1,"day":"01","language":[{"iso":"eng"}],"date_published":"2023-08-01T00:00:00Z","page":"3401-3414","doi":"10.1090/proc/14361","article_processing_charge":"No","volume":151,"oa_version":"Preprint","corr_author":"1","abstract":[{"lang":"eng","text":"In this note we study the eigenvalue growth of infinite graphs with discrete spectrum. We assume that the corresponding Dirichlet forms satisfy certain Sobolev-type inequalities and that the total measure is finite. In this sense, the associated operators on these graphs display similarities to elliptic operators on bounded domains in the continuum. Specifically, we prove lower bounds on the eigenvalue growth and show by examples that corresponding upper bounds cannot be established."}],"status":"public","issue":"8","publication":"Proceedings of the American Mathematical Society"},{"OA_place":"repository","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"_id":"22064","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2207.02414","open_access":"1"}],"date_created":"2026-06-19T08:12:42Z","quality_controlled":"1","title":"The scattering map determines the nonlinearity","citation":{"mla":"Killip, Rowan, et al. “The Scattering Map Determines the Nonlinearity.” <i>Proceedings of the American Mathematical Society</i>, vol. 151, no. 6, American Mathematical Society, 2023, pp. 2543–57, doi:<a href=\"https://doi.org/10.1090/proc/16297\">10.1090/proc/16297</a>.","ieee":"R. Killip, J. Murphy, and M. Vişan, “The scattering map determines the nonlinearity,” <i>Proceedings of the American Mathematical Society</i>, vol. 151, no. 6. American Mathematical Society, pp. 2543–2557, 2023.","chicago":"Killip, Rowan, Jason Murphy, and Monica Vişan. “The Scattering Map Determines the Nonlinearity.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2023. <a href=\"https://doi.org/10.1090/proc/16297\">https://doi.org/10.1090/proc/16297</a>.","ama":"Killip R, Murphy J, Vişan M. The scattering map determines the nonlinearity. <i>Proceedings of the American Mathematical Society</i>. 2023;151(6):2543-2557. doi:<a href=\"https://doi.org/10.1090/proc/16297\">10.1090/proc/16297</a>","apa":"Killip, R., Murphy, J., &#38; Vişan, M. (2023). The scattering map determines the nonlinearity. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/16297\">https://doi.org/10.1090/proc/16297</a>","short":"R. Killip, J. Murphy, M. Vişan, Proceedings of the American Mathematical Society 151 (2023) 2543–2557.","ista":"Killip R, Murphy J, Vişan M. 2023. The scattering map determines the nonlinearity. Proceedings of the American Mathematical Society. 151(6), 2543–2557."},"publication_status":"published","oa":1,"scopus_import":"1","article_type":"original","month":"06","das_tickbox":"1","intvolume":"       151","year":"2023","arxiv":1,"external_id":{"arxiv":["2207.02414"]},"day":"01","date_updated":"2026-06-30T07:08:20Z","mathsc":["35Q55"],"type":"journal_article","author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"full_name":"Murphy, Jason","last_name":"Murphy","first_name":"Jason"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","first_name":"Monica","full_name":"Visan, Monica","last_name":"Visan"}],"publisher":"American Mathematical Society","status":"public","abstract":[{"lang":"eng","text":"Using the two-dimensional nonlinear Schrödinger equation as a model example, we present a general method for recovering the nonlinearity of a nonlinear dispersive equation from its small-data scattering behavior. We prove that under very mild assumptions on the nonlinearity, the wave operator uniquely determines the nonlinearity, as does the scattering map. Evaluating the scattering map on well-chosen initial data, we reduce the problem to an inverse convolution problem, which we solve by means of an application of the Beurling–Lax Theorem."}],"publication":"Proceedings of the American Mathematical Society","issue":"6","oa_version":"Preprint","doi":"10.1090/proc/16297","article_processing_charge":"No","page":"2543-2557","volume":151,"OA_type":"green","language":[{"iso":"eng"}],"date_published":"2023-06-01T00:00:00Z"},{"citation":{"short":"F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.","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. <i>Proceedings of the American Mathematical Society</i>. 2023;151(3):907-914. doi:<a href=\"https://doi.org/10.1090/proc/15239\">10.1090/proc/15239</a>","apa":"Balestrieri, F. (2023). Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/15239\">https://doi.org/10.1090/proc/15239</a>","ieee":"F. Balestrieri, “Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups,” <i>Proceedings of the American Mathematical Society</i>, vol. 151, no. 3. American Mathematical Society, pp. 907–914, 2023.","chicago":"Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2023. <a href=\"https://doi.org/10.1090/proc/15239\">https://doi.org/10.1090/proc/15239</a>.","mla":"Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications to Homogeneous Spaces of Linear Algebraic Groups.” <i>Proceedings of the American Mathematical Society</i>, vol. 151, no. 3, American Mathematical Society, 2023, pp. 907–14, doi:<a href=\"https://doi.org/10.1090/proc/15239\">10.1090/proc/15239</a>."},"date_created":"2023-01-29T23:00:58Z","main_file_link":[{"open_access":"1","url":"https://hal.science/hal-03013498/"}],"researchdata_availability":"no","title":"Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups","quality_controlled":"1","department":[{"_id":"TiBr"}],"_id":"12427","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication_identifier":{"issn":["0002-9939"],"eissn":["1088-6826"]},"external_id":{"isi":["000898440000001"]},"year":"2023","intvolume":"       151","das_tickbox":"0","month":"01","publication_status":"published","scopus_import":"1","oa":1,"article_type":"original","publisher":"American Mathematical Society","author":[{"full_name":"Balestrieri, Francesca","last_name":"Balestrieri","id":"3ACCD756-F248-11E8-B48F-1D18A9856A87","first_name":"Francesca"}],"type":"journal_article","date_updated":"2026-07-29T10:09:11Z","isi":1,"day":"01","language":[{"iso":"eng"}],"date_published":"2023-01-01T00:00:00Z","page":"907-914","doi":"10.1090/proc/15239","article_processing_charge":"No","volume":151,"oa_version":"Preprint","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"}],"corr_author":"1","status":"public","issue":"3","supplementarymaterial":"no","publication":"Proceedings of the American Mathematical Society"},{"issue":"1","publication":"Proceedings of the American Mathematical Society","abstract":[{"lang":"eng","text":"Let g be a complex semisimple Lie algebra. We give a classification of contravariant forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose dimension is given by the cardinality of the Weyl group of g. We also describe a procedure for parabolically inducing contravariant forms. As a corollary, we deduce the existence of the Shapovalov form on a Verma module, and provide a formula for the dimension of the space of contravariant forms on the degenerate Whittaker modules M(χ,η) introduced by McDowell."}],"status":"public","oa_version":"Preprint","volume":149,"page":"37-52","article_processing_charge":"No","doi":"10.1090/proc/15205","language":[{"iso":"eng"}],"date_published":"2021-01-01T00:00:00Z","day":"01","isi":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"date_updated":"2025-04-14T07:43:50Z","type":"journal_article","publisher":"American Mathematical Society","author":[{"id":"70B7FDF6-608D-11E9-9333-8535E6697425","first_name":"Adam","last_name":"Brown","full_name":"Brown, Adam"},{"full_name":"Romanov, Anna","last_name":"Romanov","first_name":"Anna"}],"oa":1,"article_type":"original","scopus_import":"1","publication_status":"published","acknowledgement":"We would like to thank Peter Trapa for useful discussions, and Dragan Milicic and Arun Ram for valuable feedback on the structure of the paper. The first author acknowledges the support of the European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411. The second author is\r\nsupported by the National Science Foundation Award No. 1803059.","month":"01","keyword":["Applied Mathematics","General Mathematics"],"intvolume":"       149","arxiv":1,"external_id":{"isi":["000600416300004"],"arxiv":["1910.08286"]},"year":"2021","ec_funded":1,"publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8773","title":"Contravariant forms on Whittaker modules","quality_controlled":"1","department":[{"_id":"HeEd"}],"main_file_link":[{"url":"https://arxiv.org/abs/1910.08286","open_access":"1"}],"date_created":"2020-11-19T10:17:40Z","citation":{"ieee":"A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 1. American Mathematical Society, pp. 37–52, 2021.","chicago":"Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2021. <a href=\"https://doi.org/10.1090/proc/15205\">https://doi.org/10.1090/proc/15205</a>.","mla":"Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 1, American Mathematical Society, 2021, pp. 37–52, doi:<a href=\"https://doi.org/10.1090/proc/15205\">10.1090/proc/15205</a>.","short":"A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149 (2021) 37–52.","ista":"Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings of the American Mathematical Society. 149(1), 37–52.","apa":"Brown, A., &#38; Romanov, A. (2021). Contravariant forms on Whittaker modules. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/15205\">https://doi.org/10.1090/proc/15205</a>","ama":"Brown A, Romanov A. Contravariant forms on Whittaker modules. <i>Proceedings of the American Mathematical Society</i>. 2021;149(1):37-52. doi:<a href=\"https://doi.org/10.1090/proc/15205\">10.1090/proc/15205</a>"}},{"date_updated":"2026-07-14T08:42:59Z","day":"01","author":[{"last_name":"Wigderson","full_name":"Wigderson, Yuval","id":"2d0023a0-1567-11f0-833d-d5c1e476d4b5","first_name":"Yuval"}],"publisher":"American Mathematical Society","type":"journal_article","oa_version":"Preprint","issue":"6","publication":"Proceedings of the American Mathematical Society","abstract":[{"text":"A recent breakthrough of Conlon and Ferber yielded an exponential improvement on the lower bounds for multicolor diagonal Ramsey numbers. In this note, we modify their construction and obtain improved bounds for more than three colors.","lang":"eng"}],"status":"public","language":[{"iso":"eng"}],"date_published":"2021-06-01T00:00:00Z","OA_type":"green","volume":149,"page":"2371-2374","article_processing_charge":"No","doi":"10.1090/proc/15447","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"22169","OA_place":"repository","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"citation":{"ieee":"Y. Wigderson, “An improved lower bound on multicolor Ramsey numbers,” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 6. American Mathematical Society, pp. 2371–2374, 2021.","chicago":"Wigderson, Yuval. “An Improved Lower Bound on Multicolor Ramsey Numbers.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2021. <a href=\"https://doi.org/10.1090/proc/15447\">https://doi.org/10.1090/proc/15447</a>.","mla":"Wigderson, Yuval. “An Improved Lower Bound on Multicolor Ramsey Numbers.” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 6, American Mathematical Society, 2021, pp. 2371–74, doi:<a href=\"https://doi.org/10.1090/proc/15447\">10.1090/proc/15447</a>.","short":"Y. Wigderson, Proceedings of the American Mathematical Society 149 (2021) 2371–2374.","ista":"Wigderson Y. 2021. An improved lower bound on multicolor Ramsey numbers. Proceedings of the American Mathematical Society. 149(6), 2371–2374.","apa":"Wigderson, Y. (2021). An improved lower bound on multicolor Ramsey numbers. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/15447\">https://doi.org/10.1090/proc/15447</a>","ama":"Wigderson Y. An improved lower bound on multicolor Ramsey numbers. <i>Proceedings of the American Mathematical Society</i>. 2021;149(6):2371-2374. doi:<a href=\"https://doi.org/10.1090/proc/15447\">10.1090/proc/15447</a>"},"title":"An improved lower bound on multicolor Ramsey numbers","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2009.12020","open_access":"1"}],"date_created":"2026-06-29T10:55:23Z","extern":"1","month":"06","oa":1,"scopus_import":"1","article_type":"original","publication_status":"published","external_id":{"unknown":["2009.12020"]},"year":"2021","intvolume":"       149"},{"ec_funded":1,"publication_identifier":{"issn":["0002-9939"],"eissn":["1088-6826"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"6986","title":"A colimit of traces of reflection groups","department":[{"_id":"TaHa"}],"quality_controlled":"1","main_file_link":[{"url":"https://arxiv.org/abs/1810.07039","open_access":"1"}],"date_created":"2019-11-04T16:10:50Z","citation":{"short":"P. Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.","ista":"Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 4597–4604.","ama":"Li P. A colimit of traces of reflection groups. <i>Proceedings of the American Mathematical Society</i>. 2019;147(11):4597-4604. doi:<a href=\"https://doi.org/10.1090/proc/14586\">10.1090/proc/14586</a>","apa":"Li, P. (2019). A colimit of traces of reflection groups. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/14586\">https://doi.org/10.1090/proc/14586</a>","ieee":"P. Li, “A colimit of traces of reflection groups,” <i>Proceedings of the American Mathematical Society</i>, vol. 147, no. 11. American Mathematical Society, pp. 4597–4604, 2019.","chicago":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.1090/proc/14586\">https://doi.org/10.1090/proc/14586</a>.","mla":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings of the American Mathematical Society</i>, vol. 147, no. 11, American Mathematical Society, 2019, pp. 4597–604, doi:<a href=\"https://doi.org/10.1090/proc/14586\">10.1090/proc/14586</a>."},"scopus_import":"1","oa":1,"article_type":"original","publication_status":"published","month":"11","intvolume":"       147","das_tickbox":"1","arxiv":1,"external_id":{"arxiv":["1810.07039"],"isi":["000488621700004"]},"year":"2019","day":"01","isi":1,"project":[{"name":"Arithmetic and physics of Higgs moduli spaces","grant_number":"320593","call_identifier":"FP7","_id":"25E549F4-B435-11E9-9278-68D0E5697425"}],"date_updated":"2026-07-06T12:24:07Z","type":"journal_article","author":[{"last_name":"Li","full_name":"Li, Penghui","id":"42A24CCC-F248-11E8-B48F-1D18A9856A87","first_name":"Penghui"}],"publisher":"American Mathematical Society","issue":"11","publication":"Proceedings of the American Mathematical Society","abstract":[{"text":"Li-Nadler proposed a conjecture about traces of Hecke categories, which implies the semistable part of the Betti geometric Langlands conjecture of Ben-Zvi-Nadler in genus 1. We prove a Weyl group analogue of this conjecture. Our theorem holds in the natural generality of reflection groups in Euclidean or hyperbolic space. As a corollary, we give an expression of the centralizer of a finite order element in a reflection group using homotopy theory. ","lang":"eng"}],"status":"public","oa_version":"Preprint","volume":147,"page":"4597-4604","article_processing_charge":"No","doi":"10.1090/proc/14586","language":[{"iso":"eng"}],"date_published":"2019-11-01T00:00:00Z"},{"doi":"10.1090/s0002-9939-2010-10615-9","article_processing_charge":"No","page":"1805-1817","volume":139,"date_published":"2011-05-01T00:00:00Z","OA_type":"green","language":[{"iso":"eng"}],"status":"public","abstract":[{"text":"We consider the defocusing nonlinear wave equation utt − Δu +\r\n|u|\r\npu = 0 with spherically-symmetric initial data in the regime 4\r\nd−2 <p< 4\r\nd−3\r\n(which is energy-supercritical) and dimensions 3 ≤ d ≤ 6; we also consider\r\nd ≥ 7, but for a smaller range of p> 4\r\nd−2 . The principal result is that\r\nblowup (or failure to scatter) must be accompanied by blowup of the critical\r\nSobolev norm. An equivalent formulation is that maximal-lifespan solutions\r\nwith bounded critical Sobolev norm are global and scatter","lang":"eng"}],"publication":"Proceedings of the American Mathematical Society","issue":"5","oa_version":"Preprint","type":"journal_article","publisher":"American Mathematical Society","author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan","full_name":"Visan, Monica"}],"day":"01","date_updated":"2026-06-29T10:44:15Z","mathsc":["35L71"],"das_tickbox":"1","intvolume":"       139","year":"2011","external_id":{"arxiv":["1002.1756"]},"arxiv":1,"publication_status":"published","oa":1,"scopus_import":"1","article_type":"original","month":"05","extern":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1002.1756","open_access":"1"}],"date_created":"2026-06-19T08:11:09Z","quality_controlled":"1","title":"The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions","citation":{"ieee":"R. Killip and M. Vişan, “The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions,” <i>Proceedings of the American Mathematical Society</i>, vol. 139, no. 5. American Mathematical Society, pp. 1805–1817, 2011.","chicago":"Killip, Rowan, and Monica Vişan. “The Radial Defocusing Energy-Supercritical Nonlinear Wave Equation in All Space Dimensions.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2011. <a href=\"https://doi.org/10.1090/s0002-9939-2010-10615-9\">https://doi.org/10.1090/s0002-9939-2010-10615-9</a>.","mla":"Killip, Rowan, and Monica Vişan. “The Radial Defocusing Energy-Supercritical Nonlinear Wave Equation in All Space Dimensions.” <i>Proceedings of the American Mathematical Society</i>, vol. 139, no. 5, American Mathematical Society, 2011, pp. 1805–17, doi:<a href=\"https://doi.org/10.1090/s0002-9939-2010-10615-9\">10.1090/s0002-9939-2010-10615-9</a>.","short":"R. Killip, M. Vişan, Proceedings of the American Mathematical Society 139 (2011) 1805–1817.","ista":"Killip R, Vişan M. 2011. The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions. Proceedings of the American Mathematical Society. 139(5), 1805–1817.","ama":"Killip R, Vişan M. The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions. <i>Proceedings of the American Mathematical Society</i>. 2011;139(5):1805-1817. doi:<a href=\"https://doi.org/10.1090/s0002-9939-2010-10615-9\">10.1090/s0002-9939-2010-10615-9</a>","apa":"Killip, R., &#38; Vişan, M. (2011). The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/s0002-9939-2010-10615-9\">https://doi.org/10.1090/s0002-9939-2010-10615-9</a>"},"publication_identifier":{"issn":["0002-9939"],"eissn":["1088-6826"]},"OA_place":"repository","_id":"22061","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}]