Publications grouped by projects

My research interests concern the representation theory of quantum groups and infinite-dimensional Lie algebras and their applications, from various perspectives involving algebraic geometry, combinatorics and mathematical physics. Here are the main projects in my research work, with the corresponding publications grouped by projects.

Monoidal categorification of cluster algebras Quantum integrable systems and Baxter Q-operators Kazhdan-Lusztig polynomials and quantum Grothendieck rings Shifted quantum groups associated to Coulomb branches Quiver varieties Oper and Langlands duality for quantum groups Stable maps and R-matrices Kirillov-Reshetikhin modules, crystals and T-systems Geometry of loop groups and quantum groups at roots of unity Toroidal algebras, Drinfeld coproduct and fusion product