معرفی
Yuhan Jiang is a Morrey Visiting Assistant Professor in the Department of Mathematics at the University of California, Berkeley, appointed in 2025. His research focuses on algebraic combinatorics and related fields within pure mathematics.
Education:
- PhD in Mathematics from Harvard University, advised by Professor Lauren K. Williams
- Current postdoctoral position at UC Berkeley under Professor Sylvie Corteel
Dr. Jiang's research spans multiple interconnected areas of algebraic combinatorics. His work centers on the combinatorics of integrable systems, Ehrhart theory, matroid theory, and diagonal coinvariants. He has made significant contributions to understanding the structure of positroid polytopes, alcoved polytopes, and the connections between rowmotion and echelonmotion in posets. His research often bridges combinatorial structures with algebraic and geometric methods, particularly in the context of symmetric functions, lattice polytopes, and algebraic statistics.
His publication record shows a strong progression in combinatorial algebra with increasing focus on geometric interpretations. Recent work explores the Ehrhart theory of various polytopes, the combinatorics of exclusion processes, and algebraic properties of coinvariant rings. The research demonstrates a consistent theme of connecting discrete structures with continuous geometric and algebraic frameworks, particularly through the lens of representation theory and symmetric functions.
Dr. Jiang teaches Complex Analysis (Math 185) at UC Berkeley. His academic lineage includes prominent researchers in algebraic combinatorics, reflecting his deep engagement with cutting-edge developments in the field. His work with Professor Corteel at Berkeley continues his trajectory of exploring fundamental connections between combinatorial structures and algebraic geometry.
