Research

Group and representation theory

♦ Local-global problems in modular representation theory

♦ Finite groups of Lie type and representations

Selected Publications

♦ Unitriangular basic sets, Brauer characters and coprime actions. (with B. Späth) to appear Represent. Theory.

♦Jordan decomposition for weights and the blockwise Alperin weight conjecture. (with Z. Li, J. Zhang) Adv. Math. 408 (2022), 108594.

♦ The inductive blockwise Alperin weight condition for type C and the prime 2. (with G. Malle) J. Aust. Math. Soc. 113 (2022), 1–20.

♦ Inductive blockwise Alperin weight condition for type B and odd primes. (with C. Li, J. Zhang) J. Algebra 604 (2022), 533–576.

♦ Equivariant correspondences and the inductive Alperin weight condition for type A.  (with C. Li, J. Zhang) Trans. Amer. Math. Soc. 374 (2021),  8365–8433.

♦ Robinson’s conjecture on heights of characters. (with C. Li, Y. Liu, G. Malle, J. Zhang) Compos. Math. 155 (2019),  1098–1117.

♦ The blocks and weights of finite special linear and unitary groups. J. Algebra 523 (2019), 53–92.