单芃 - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 2002-2005 清华大学 Tsinghua University， 2005-2008 巴黎高等师范学校 Ecole Normale Supérieure de Paris, 2008-2011 巴黎第七大学 Université Paris Diderot，博士工作经历 2017至今清华大学 Tsinghua University, 教授 2012-2013 美国麻省理工学院 MIT, C.L.E. Moore Instructor 2011-2017 法国国家科学研究中心 CNRS(France), Chargé de Recherche 荣誉与奖励 2017 求是杰出青年学者奖 2019 ICCM数学奖银奖 2022 国际数学家大会45分钟报告人

研究领域

几何表示论 Geometric representation theory

近期论文

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R. Bezrukavnikov, P. Boixeda-Alvarez, P. Shan, E. Vasserot, A geometric realization of the center of the small quantum group, preprint, https://arxiv.org/abs/2205.05951 P. Shan, M. Varagnolo, E. Vasserot, Coherent categorification of quantum loop algebras:the SL(2) case, Crelle's Journal, to appear. C. Bonnafe?, P. Shan, On the cohomology of Calogero-Moser spaces, IMRN 4 (2020),1091–1111. H. Bao, P. Shan, W. Wang, B. Webster, Categorification of quantum symmetric pairs I. Quantum Topology 9. (2018), 643–714. P. Shan, M. Varagnolo, E. Vasserot, On the center of Quiver Hecke algebras, Duke Math J. 166 no.6 (2017), 1005–1101. R. Rouquier, P. Shan, M. Varagnolo, E. Vasserot, Categorifications and cyclotomic rational double affine Hecke algebras, Invent. Math. 204 (2016) no. 3, 671–786. P. Shan, M. Varagnolo, E. Vasserot, Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras, Adv. Math. 262 (2014), 370–435. P, Shan, E. Vasserot, Heisenberg algebras and rational double affine Hecke algebras, J. Amer. Math. Soc. 25(2012), no.4, 959-1031. P. Shan, Graded decomposition matrices of v-Schur algebras via Jantzen filtration, Represent. Theory 16(2012), 212-269. P. Shan, M. Varagnolo, E. Vasserot, Canonical bases and affine Hecke algebras of type D, Adv. Math. 227(2011) no.1, 267-291. P. Shan, Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras, Annales scientifiques de l'ENS 44, fascicule 1 (2011), 147-182.