国家自然科学基金，青年基金，2016.1-2018.12

国家自然科学基金，面上项目，2021.1-2024.12

上海市自然科学基金，面上项目，2025.7-2028.6

•1. H. Rui, L.Song, The Representationsof quantized walled Brauer algebras, J.Pure   Appl. Algebra, 219(5)(2015),1496-1518.

•2. H. Rui, L.Song, Decompositionnumbers of quantized walled Brauer algebras,   Math. Zeit. 280 (2015), no. 3-4, 669-689.

•3. H.Rui, L.Song, Decompositionmatrices of Birman-Murakami-Wenzl algebras, J.Algebra, 444 (2015), 246-271. 

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

•5. M.Gao, H.Rui, L.Song, Y. Su, Affine Brauer-Clifford superalgebras, J.Algebra,  525(2019), 191-233. 

•6. H. Rui, L.Song, Affine Brauer category andparabolic category  O in types B,C,D,  Math.  Zeit. 293(2019), no.1-2,503-550.

•8. M. Gao, H. Rui, L. Song, A basis theorem for the affineKauffman category and its cyclotomic quotients,  J.Algebra,608(2022), 774-846.

•9. M. Gao, H. Rui, L. Song, Blocks of the Brauer categoryover the complex field,  Algebr Represent. Theor, 26 (2023), 1319-1334.  

•10. M. Gao , H. Rui, L. Song , Representations of weaklytriangular categories ,  J. Algebra, 614 (2023),481-534. 

•11. M. Gao, H. Rui, L. Song, Representations of cyclotomicoriented Brauer categories, J. Pure Appl.  Algebra, 227(2023), no. 6, 28pp.  

•12. M.Si, L. Song,  Discriminants of quantized walledBrauer algebras, J. Pure Appl.  Algebra , 227(2023),  no.7,  35 pp.

•13. S. Ariki, L.Song,  Q. Wang, Representation type of cyclotomicquiver Hecke algebras of type A_{(1)}^ℓ,  Adv. Math.，434(2023), 68pp.

•14. H. Rui, M. Si, L. Song, The Jucys-Murphy basis and semisimplicity criteria for the q-Brauer algebra,  Lett.Math. Phys.       114(2024), no. 4, Paper No. 104.

•15. M. Gao, H. Rui, L. Song, Representations of the cyclotomic oriented Brauer-Clifford supercategory, J.Pure Appl. Algebra 228 (2024), no. 12, Paper No. 107767, 37 pp.

•16. H.Rui, L. Song, The periplectic q- Brauer category, J.Algebra 661(2025),82-122

 17. L. Song, W. Wang, Affine and cyclotomic webs, J. Lond. Math. Soc. (2) 112 (2025), no. 3, Paper No. e70278, 43 pp.