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I am a PhD student in mathematics at Université Jean Monnet in Saint-Étienne, Institut Camille Jordan, under the supervision of Stéphane Gaussent and the co-supervision of Mikhail Gorsky. Before starting my PhD, I studied mathematics at the École normale supérieure de Lyon for M1 and M2.
Here is my CV in detail.
Research Interests
Research Interests
My research lies at the intersection of representation theory, algebraic combinatorics, and geometry. In particular, I am interested in applications of gallery models to the representation theory of Kac–Moody algebras, cluster algebras, and related categorification problems.
Contacts
Contacts
E-mail: zijun.li at univ-st-etienne.fr
Address:
Département de mathématiques
Institut Camille Jordan
Université Jean Monnet
Bâtiment Les Forges
20 rue du docteur Rémy Annino
42023 Saint-Étienne
France
Research
Research
I study combinatorial and geometric models in representation theory, with a particular focus on paths and galleries. My work explores how certain models in the weight space connect MV polytopes and crystal structures.
In joint work with Mikhail Gorsky, we investigate categorical structures associated with subword complexes and their Hall algebras. My current research also explores the geometry of galleries in buildings as a framework for studying subword complexes.
Papers and Preprints
Papers and Preprints
(with Mikhail Gorsky) A categorification of subword complexes and its Hall algebra. arxiv:2604.00879
A path model for MV polytopes in type A_n. arxiv:2603.28634
Teaching
Teaching
2026–2027
Mathématiques pour l’ingénieur — Tutorials.
2025–2026
Mathématiques pour l’ingénieur — Tutorials.
2024–2025
Linear Algebra L1— Tutorials, Université Jean Monnet.
Mathématiques pour l’ingénieur — Tutorials.
Slides
Slides
A categorification of subword complexes and Hall algebras, 22nd International Conference on Representations of Algebras (ICRA 2026), Grenoble, France
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