I have 7 papers that are published/accepted by journals including the Mem. Amer. Math. Soc., the Transform. Groups, the Int. Math. Res. Not., the J. Lond. Math. Soc. I also have 3 prepints submitted and 4 ongoing projects.

  1. C. Lai, D. K. Nakano, Z. Xiang,
    On q-Schur algebras corresponding to Hecke algebras of type B,
    arXiv:1902.07682, 29 pages.

  2. C. Lai and L. Luo,
    Schur algebras and quantum symmetric pairs with unequal parameters,
    Int. Math. Res. Not. (to appear)
    arXiv:1808.00938, 34 pages.

  3. Z. Fan, C. Lai, Y. Li, L. Luo, W. Wang and H. Watanabe,
    Quantum Schur duality of affine type C with three parameters,
    Math. Res. Letters (to appear)
    arXiv:1802.01047, 26 pages.

  4. Z. Fan, C. Lai, Y. Li and L. Luo,
    Length formulas in symmetrized forms
    Appendix of Affine Hecke algebras and quantum symmetric pairs, 
    arXiv:1609.06199v2, 10 pages.

  5. Z. Fan, C. Lai, Y. Li, L. Luo and W. Wang,
    Affine Hecke algebras and quantum symmetric pairs
    arXiv:1609.06199v1, 67 pages.

  6. C. Lai, 
    Affine Quantum Symmetric Pairs: Multiplication Formulas and Canonical Bases
    dissertation (2016), 124 pages.

  7. Z. Fan, C. Lai, Y. Li, L. Luo and W. Wang, 
    Affine flag varieties and quantum symmetric pairs
    Mem. Amer. Math. Soc. (to appear),
    arXiv:1602.04383, 108 pages

  8. C. Lai and L. Luo, 
    An elementary construction of monomial bases of quantum affine gl_n
    J. Lond. Math. Soc. 96 (2017), 15--27.

  9. C. Lai, 
    On Weyl modules over affine Lie algebras in prime characteristic
    Transform. Groups, 21 (2016), 1123-1153.

  10. S. Eu, T. Fu, C. Lai, 
    Cycle Lemma, Parking Functions and Related Multigraphs
    Graphs and Combinatorics, 26 (2010), 345 - 360.

  11. S. Eu, T. Fu, C. Lai, 
    On the enumeration of parking functions by leading terms
    Advances in Applied Mathematics, 35 (2005), 392 - 406.