Yingkun Li

Yingkun Li is an Assistant Professor in the Department of Mathematics at the University of Wisconsin-Madison. He is also a visiting researcher at the Max Planck Institute for Mathematics (MPIM Bonn) and the University of Bonn, supported by the Heisenberg program (DFG). His research focuses on number theory, particularly automorphic forms and their applications in arithmetic geometry and mathematical physics.

Research Interests: Dr. Li works at the intersection of number theory and modular forms, with emphasis on harmonic Maass forms, quantum modular forms, and their connections to combinatorics, analytic number theory, and algebraic structures. His work explores CM-values, asymptotic expansions, and renormalization techniques.

Recent Publications: His research spans real-dihedral harmonic Maass forms, quantum modular forms, Hilbert modular functions, Fishburn matrices, and half-integral weight modular forms. Themes include renormalization, q-series, and automorphic representations.

Teaching: He has taught courses ranging from Analysis I to seminars on partitions and asymptotic expansions, and has extensive experience mentoring high school and university students through programs like the UCLA Math Circle and Mathematics courses.