Linhui Shen

Linhui Shen is an Associate Professor in the Department of Mathematics at Michigan State University, located in Wells Hall D302. His research focuses on representation theory, algebraic geometry, and mathematical physics, with particular emphasis on cluster algebras, moduli spaces of G-local systems, and quantum groups. His work is supported by the NSF grant DMS-2200738.

• Education: Ph.D. in Mathematics (specific institution not listed in provided texts)
• Current Courses: MTH 990: Reading in Mathematics

Shen's research interests explore the interplay between geometric structures and algebraic frameworks, including applications to quantum geometry, symplectic topology, and categorical dynamics. Key themes in his work include cluster varieties, canonical bases, and dualities in representation theory.

His recent publications investigate topics such as braid varieties, SL₃-webs, and the chromatic Lagrangian, reflecting a focus on cutting-edge problems at the intersection of algebra, geometry, and physics.

Grants: NSF DMS-2200738 (active funding).

Labs/Teams: Collaborations with researchers in geometric representation theory and mathematical physics at Michigan State University and beyond.