Regular biography
Junliang Shen is an Associate Professor in the Department of Mathematics at Yale University. His research interests are not specified in the available information. Professor Shen can be contacted via email at junliang.shen@yale.edu or through his website at https://math.yale.edu/profile/junliang-shen. His office is located in Kline Tower, Room 219, on the Yale University campus in New Haven, CT.
Scholar-generated biography
Junliang Shen is a mathematician specializing in Algebraic Geometry, with a focus on moduli spaces, Hodge theory, and derived categories. His research explores topics such as Hitchin fibrations, Lagrangian fibrations, and the P = W conjecture, which connects geometric and representation-theoretic structures. Shen's work also involves perverse filtrations, Chern filtrations, and the study of hyper-Kähler manifolds, including their cohomology and zero-cycles. His contributions span areas like curve counting, Donaldson–Thomas invariants, and the interplay between symplectic geometry and algebraic cycles. His research has implications for understanding the topology and arithmetic of moduli spaces and their connections to string theory and mathematical physics.