Representation theory and Lie theory:

• Lie (super) algebras and quntum groups

• (Affine and cyclotomic) Hecke algebras, (quantized walled) Brauer algebras, etc

• categorification and Schur-Weyl duality

Ph.D., Mathematics, June 2014, East China Normal University

H. Rui and L. Song, Representations of Brauer category and categorification, J. Algebra, 557(2020), 1-36.

MengmengGao,HebingRui,LinliangSong, Yucai Su:Affine walled Brauer–Clifford superalgebras,J.Algebra, 525(2019), 191-233.

Hebing Rui, Linliang Song：Affine Brauer category and parabolic category O in types B, C, D，Mathematische Zeitschrift ，293(2019), no.1-2, 503-550.

H.Rui and L.Song: Isomorphisms between simple modules of degenerate cyclotomic Hecke algebras,J. Algebra, 483 (2017), 329-361.

H.Rui and L.Song: Decomposition matrices ofBirman-Murakami-Wenzl algebras, J.Algebra, 444 (2015),246–271.

H.Rui and L.Song:Decomposition numbers of quantized walled Brauer algebras, Math. Zeit, 280 (2015), no. 3-4, 669–689.

H. Rui and L. Song: The representations of quantized walled Brauer algebra, J. Pure Appl. Algebra, 219 (2015), 1496--1518

1. Young Scientists Fund of the National Natural Science Foundation of China, No.11501368, January 2016 -- December 2018.

2. China Postdoctoral Science Foundation, November 2015- August 2016.