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Work Experience

• Summer Collaborators Program Institute for Advanced Study 2019/6
• LT Assistant Professor University of Georgia 2017 - 2020
• Visiting Postdoc Fellow Max-Planck Institute for Mathematics in Bonn, Germany 2016 - 2017
• Research Assistant National Center of Theoretical Sciences, Taiwan 2010 - 2011

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Awards

• NCTS Young Scientist Award, 2022
• Presidential fellowship, University of Virginia, 2011
• Studying Abroad Scholarship, Ministry of Education, Taiwan, 2011
• Intel ISEF Grand Award 2nd Place, 2005

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Research Descriptions

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.

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Selected Publications

1. (with D. Nakano, and Z. Xiang) "Quantum wreath products and Schur-Weyl duality I" , arxiv 2304.14181, 2023-04.
2. (with Z. Fan, Y. Li, L. Luo, and W. Wang) "Affine Hecke algebras and quantum symmetric pairs" , Mem. Amer. Math. Soc. , 281, 2023-01.
3. (with D. K. Nakano, Z. Xiang) "On Schur algebras corresponding to the Hecke algebras of type B" , Transform. Groups (27), 983-1024, 2022-09.
4. (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.
5. (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.
6. (with Z. Fan, Y. Li, L. Luo, and W. Wang) "Affine flag varieties and quantum symmetric pairs" , Mem. Amer. Math. Soc. , arXiv:1602.04383., 123pp-, 2020-09.
7. (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.
8. (with L. Luo) "Schur algebras and quantum symmetric pairs with unequal parameters" , Int. Math. Res. Not. , 2019-06.
9. (with L. Luo) "An elementary construction of monomial bases of modified quantum affine $gl_n$" , J. Lond. Math. Soc. , 96, 15-27, 2017-08.
10. "On Weyl modules over affine Lie algebras in prime characteristic" , Transform. Groups , 21, 1123-1153, 2016-12.
11. "Affine Quantum Symmetric Pairs: Multiplication Formulas and Canonical Bases" , PhD dissertation , 124pp-, 2016-05.
12. (with S. Eu, T. Fu) "Cycle lemma, parking functions and related multigraphs" , Graphs Combin. , 26, 345-360, 2010.
13. (with S. Eu, T. Fu) "On the enumeration of parking functions by leading terms" , Adv. in Appl. Math. , 35, 392-406, 2005.