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研究生导师
苏长剑

助理教授

单位:清华大学丘成桐数学科学中心

办公地点:宁斋N04

电子邮箱:changjiansu@mail.tsinghua.edu.cn

研究领域

表示论


教育背景

2008-2012 学士 中国科学技术大学

2012-2017 博士 哥伦比亚大学


工作经历

2022-至今  助理教授 清华大学丘成桐数学科学中心

2018-2021 博士后 多伦多大学

2017-2018 博士后 法国IHES


代表性论文


Geometric properties of the Kazhdan-Lusztig Schubert basis,(with Cristian Lenart, Kirill Zainoulline, Changlong Zhong), arXiv:2009.06595, to appear in Algebra & Number Theory


Left Demazure-Lusztig operators on equivariant (quantum) cohomology and K theory, (with Leonardo C. Mihalcea and Hiroshi Naruse), arXiv:2008.12670, to appear in IMRN


Whittaker functions from motivic Chern classes, (with Leonardo C. Mihalcea, joint appendix with David Anderson), arXiv:1910.14065, to appear in Transformation Groups


Structure constants for Chern classes of Schubert cells, Mathematische Zeitschrift, 298, 193-213 (2021)


Motivic Chern classes and Iwahori invariants of principal series, To appear in Proceedings of International Congress of Chinese Mathematicians 2019


Stable bases of the Springer resolution and representation theory, (with C. Zhong), In International Conference on the Trends in Schubert Calculus, Springer Proceedings in Mathematics & Statistics, Vol 332, 195-221, 2020


Wall-crossings and a categorification of K-theory stable bases of the Springer resolution, (with Gufang Zhao and Changlong Zhong), Compositio Mathematica, 157(11),2341-2376(2021)


Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem, (with P. Aluffi, L. Mihalcea, J. Schürmann), arXiv:1902.10101, to appear in Ann. Sci. Éc. Norm. Supér.


Positivity of Segre-MacPherson classes, (with P. Aluffi, L. Mihalcea, J. Schürmann), arXiv:1902.00762, To apper in Facets of Algebraic Geometry: Volume in Honour of William Fulton's 80th Birthday


On the K-theory stable bases of the Springer resolution, (with Gufang Zhao and Changlong Zhong), Ann. Sci. Éc. Norm. Supér., 53(3), 663-711, 2020


Restriction formula for stable basis of the Springer resolution, Selecta Math. (N.S.), 23 (2017), no. 1, 497-518


Equivariant quantum cohomology of cotangent bundle of G/P, Advances in Mathematics 289 (2016), 362-383


Preprints:

Hook formulae from Segre-MacPherson classes,(with Leonardo C Mihalcea, Hiroshi Naruse), arXiv:2203.16461


Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells, (with P. Aluffi, L. Mihalcea, J. Schürmann), arXiv:1709.08697


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