Élie Casbi's homepage 

Research interests:

•  Lie theory, representation theory of quantum groups, quiver Hecke algebras, quantum affine algebras

• Higher homological algebra / Auslander-Reiten theory

•  Cluster algebras

• Representations of quivers, Hall theory

•  Geometry of flag varieties, Schubert varieties and affine Grassmannians

• Equivariant (co)homology

• Newton-Okounkov bodies

List of publications and preprints:

1. A higher homological approach to the $q$-characters of representations of quantum affine algebras, Preprint arXiv:2605.28682v1 (2026).

  2. Triangulated monoidal categorifications of finite type cluster algebras, Preprint arXiv:2601.19754v1 (2026). 

  3. Auslander-Reiten combinatorics and q-characters of representations of affine quantum groups (with Jian-Rong Li), Preprint arXiv:2410.06046v1 (2024).

  4. The Poisson degeneracy locus of a flag variety (with Aria Masoomi and Milen Yakimov), Math. Z., vol 311, no 2, Paper no. 30,  2025. 

  5. Equivariant multiplicities via representations of affine quantum algebras   (with Jian-Rong Li), Selecta Math (N.S.), vol. 29, no. 9, 2023.

  6. Newton-Okounkov bodies for categories of modules over quiver Hecke algebras , Annales de l'Institut Fourier, vol. 72, no. 5, pp. 1773-1818, 2022.

  7. Equivariant multiplicities of simply-laced type flag minors ,  Representation Theory, 25, pp. 1049-1092, 2021.

  8. Dominance order and monoidal categorification of cluster algebras, Pacific. J . Math., 305 (2) : 473-537, 2020.

Other documents:

• PhD Thesis 

• CV