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

2009.9-2014.6 华东师范大学，数学系，博士

• 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-Wenzlalgebras, 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.

• 2016.1–2018.12, 与量子群有关的一些代数的表示理论, 国家自然科学基金青年基金， 主持

• 2015.11–2016.8, 与李代数有关的一些代数的表示理论, 中国博士后科学基金