معرفی
Wanlin Li is an Assistant Professor of Mathematics at Washington University in St. Louis, within the Department of Mathematics, Arts & Sciences. She earned her PhD in Mathematics from the University of Wisconsin-Madison in 2019 under the supervision of Jordan Ellenberg. Her research focuses on arithmetic geometry, with a particular emphasis on number theory, elliptic curves, Jacobian varieties, and Galois representations. Key topics include L-functions over finite fields, Newton polygons of cyclic covers, and the geometry of modular curves.
Education: PhD in Mathematics, University of Wisconsin-Madison (2019). Advisor: Jordan Ellenberg.
Research Interests: Wanlin investigates the interplay between algebraic geometry and number theory, particularly exploring properties of elliptic curves over function fields, the structure of Jacobian varieties, and stratification in Shimura varieties. Her work also addresses non-vanishing phenomena of zeta functions and L-functions, as well as the topological and tropical aspects of algebraic cycles like the Ceresa class. Recent studies include exceptional biases in prime distribution over function fields and the section conjecture in arithmetic topology.
Professional Activities: She co-organized workshops such as the Arithmetic of Algebraic Curves and the Geometry & Arithmetic of Surfaces Workshop, fostering collaboration among early-career researchers. Her contributions bridge theoretical frameworks with computational methods, particularly in analyzing moduli spaces and p-adic geometric structures.
Labs/Teams: Her research is part of broader initiatives in arithmetic geometry at Washington University, collaborating with leading institutions on projects involving Shimura varieties, tropical geometry, and modular forms.
