Liyang Yang

Liyang Yang is a Sherman Fairchild Postdoctoral Scholar and Research Fellow in the Department of Mathematics at the California Institute of Technology, affiliated with the Division of Physics, Mathematics and Astronomy. His research focuses on advanced topics in number theory and automorphic representations.

• Research Interests: Number Theory, Automorphic Representations, Arithmetic Geometry, L-functions, Trace Formulas, and Analytic Number Theory.

Recent work involves applications of the Relative Trace Formula to prove nonvanishing results for L-functions, including simultaneous nonvanishing for GL(3)×GL(2) and GL(3)×GL(1), uniform nonvanishing of central values, and subconvexity bounds for Rankin-Selberg L-functions. His publications highlight connections between automorphic forms, representation theory, and algebraic number theory.

• Scientific Awards:
  • Sherman Fairchild Postdoctoral Scholar