Lai, Chun-Ju
Assistant Research Fellow
Research Fields: Representation theory, Hecke algebras, Quantum groups, Algebraic combinatorics,
My current research interests include affine Hecke algebras, quantum groups, quantum symmetric pairs, modular representation theory, quiver varieties, Springer fibers, geometric representation theory, categorifications, and algebraic combinatorics.
- Ph.D. in Mathematics University of Virginia 2011-2016
- B.S.E. in Electrical Engineering / B.S. in Mathematics National Taiwan University 2005-2009
- LT Assistant Professor University of Georgia 2017 - 2020
- Summer Collaborators Program Institute for Advanced Study 2019/6
- Visiting Postdoc Fellow Max-Planck Institute for Mathematics in Bonn, Germany 2016 - 2017
- Research Assistant National Center of Theoretical Sciences, Taiwan 2010 - 2011
- 2022, NCTS Young Scientist Award
- 2011, Studying Abroad Scholarship, Ministry of Education, Taiwan
- 2011, Presidential fellowship, University of Virginia
- 2005, Intel ISEF Grand Award 2nd Place
- (with Y. Hsu) "On the Springer correspondence for wreath products", https://arxiv.org/abs/2404.02846, 2024-04
- (with D. Nakano, and Z. Xiang) "Quantum wreath products and Schur-Weyl duality I", https://arxiv.org/abs/2304.14181, 2023-04
- (with Z. Fan, Y. Li, L. Luo, and W. Wang) "Affine Hecke algebras and quantum symmetric pairs", Mem. Amer. Math. Soc., 281, 2023-01 , Link
- (with D. K. Nakano, Z. Xiang) "On Schur algebras corresponding to the Hecke algebras of type B", Transform. Groups, 983-1024, 2022-09 , Link
- (with M.S. Im, A. Wilbert) "Irreducible components of two-row Springer fibers for all classical types", Proc. Amer. Math. Soc., 150 (06 ), 2415-2432, 2022-06 , Link
- (with M.S. Im, A. Wilbert) "A study of irreducible components of Springer fibers using quiver varieties", Journal of Algebra, 591, 217-248, 2022-01 , Link
- (with Z. Fan, Y. Li, L. Luo, and W. Wang) "Affine flag varieties and quantum symmetric pairs", Mem. Amer. Math. Soc., 0, 123-, 2020-09 , Link
- (with Z. Fan, Y. Li, L. Luo, W. Wang and H. Watanabe) "Quantum Schur duality of affine type C with three parameters", Math. Res. Letters , 27, 79-114, 2020-04 , Link
- (with L. Luo) "Schur algebras and quantum symmetric pairs with unequal parameters", Int. Math. Res. Not., 2019-06 , Link
- (with L. Luo) "An elementary construction of monomial bases of modified quantum affine $gl_n$", J. Lond. Math. Soc., 96, 15-27, 2017-08 , Link
- "On Weyl modules over affine Lie algebras in prime characteristic", Transform. Groups, 21, 1123-1153, 2016-12 , Link
- "Affine Quantum Symmetric Pairs: Multiplication Formulas and Canonical Bases", PhD dissertation, 124-, 2016-05 , Link
- (with S. Eu, T. Fu) "Cycle lemma, parking functions and related multigraphs", Graphs Combin., 26, 345-360, 2010, Link
- (with S. Eu, T. Fu) "On the enumeration of parking functions by leading terms", Adv. in Appl. Math., 35, 392-406, 2005, Link