One of my research directions is the quantum wreath products and its connection with rational Cherednik algebras, modular representation theory, metaplectic covers of p-adic groups, and affine Khovanov-Lauda-Rouquier algebras. My other research directions are the following topics in modern representation theory, all connected but spanning a range of different related areas: quantum symmetric pairs and quantum groups, modular representations for affine Lie algebras, algebraic combinatorics, Springer theory, and parabolic Category O for quasi-reductive Lie superalgebras.
- 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 2019-06
- 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
- Berta Hudak, Chun-Ju Lai, "On cellularity of Hecke algebras for wreath products", arxiv:2606.03759, 2026-06 , Link
- You-Hung Hsu, Chun-Ju Lai, "On the Springer correspondence for wreath products", Journal of Pure and Applied Algebra, 230 (6), 108272-, 2026-06
- Chun-Ju Lai, Alexandre Minets, "Schurification of polynomial quantum wreath products", Representation Theory (to appear), 2026-05
- Valentin Buciumas, Chun-Ju Lai, "Quantum wreath products and p-adic general linear group ", arxiv:2602.20817, 2026-02 , Link
- Chun-Ju Lai, Daniel K. Nakano, Ziqing Xiang, "Quantum wreath products and Schur--Weyl duality II", arxiv:2511.19825, 2025-11 , Link
- Chun-Ju Lai, Cailan Li, "Infinite-dimensional towers and a categorification of differential operators on $\mathbb{A}^1_{\mathbb{Z}[v,v^{-1}]}$", arxiv:2509.20053, 2025-09 , Link
- Chun-Ju Lai, Daniel K. Nakano, Arik Wilbert, "Category O for Lie superalgebras", arxiv:2505.17563, 2025-05 , Link
- Chun-Ju Lai, Daniel K. Nakano and Ziqing Xiang, "Quantum wreath products and Schur-Weyl duality I", Forum Math. Sigma, 12 (e108), 2024-09 , https://doi.org/10.1017/fms.2024.103 , Link
- Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, "Affine Hecke algebras and quantum symmetric pairs", Mem. Amer. Math. Soc., 281, 2023-01 , Link
- Chun-Ju Lai, Daniel K. Nakano, Ziqing Xiang, "On Schur algebras corresponding to the Hecke algebras of type B", Transform. Groups, 983-1024, 2022-09 , Link
- Mee Seong Im, Chun-Ju Lai, Arik Wilbert, "Irreducible components of two-row Springer fibers for all classical types", Proc. Amer. Math. Soc., 150 (06 ), 2415-2432, 2022-06 , Link
- Mee Seong Im, Chun-Ju Lai, Arik Wilbert, "A study of irreducible components of Springer fibers using quiver varieties", Journal of Algebra, 591, 217-248, 2022-01 , Link
- Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, "Affine flag varieties and quantum symmetric pairs", Mem. Amer. Math. Soc., 0, 123-, 2020-09 , Link
- Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Hideya Watanabe, "Quantum Schur duality of affine type C with three parameters", Math. Res. Letters , 27, 79-114, 2020-04 , Link
- Chun-Ju Lai, Li Luo, "Schur algebras and quantum symmetric pairs with unequal parameters", Int. Math. Res. Not., 2019-06 , Link
- Chun-Ju Lai, Li Luo, "An elementary construction of monomial bases of modified quantum affine $gl_n$", J. Lond. Math. Soc., 96, 15-27, 2017-08 , Link
- Chun-Ju Lai, "On Weyl modules over affine Lie algebras in prime characteristic", Transform. Groups, 21, 1123-1153, 2016-12 , Link
- Chun-Ju Lai, "Affine Quantum Symmetric Pairs: Multiplication Formulas and Canonical Bases", PhD dissertation, 124-, 2016-05 , Link
- Sen-Peng Eu, Tung-Shan Fu & Chun-Ju Lai , "Cycle lemma, parking functions and related multigraphs", Graphs Combin., 26, 345-360, 2010-03 , Link
- Sen-Peng Eu, Tung-Shan Fu & Chun-Ju Lai , "On the enumeration of parking functions by leading terms", Adv. in Appl. Math., 35, 392-406, 2005-10 , Link