Biography

Lili Yan is a tenure-track Assistant Professor of Mathematics at the University of Central Florida. Previously, she was a Postdoctoral Research Scholar at North Carolina State University and a Dunham-Jackson Postdoctoral Associate at the University of Minnesota, Twin Cities. She received her Ph.D. in Mathematics from the University of California, Irvine in 2022, under the supervision of Professor Katya Krupchyk. Dr. Yan’s research focuses on inverse problems, semiclassical analysis, partial differential equations, and integral geometry. Her work investigates the unique and stable recovery of unknown coefficients and properties of differential equations from indirect measurements, with particular emphasis on inverse boundary value problems involving partial data, nonlinearities, and geometric constraints. Her research encompasses inverse problems for Schrödinger operators, hyperbolic equations, nonlocal and fractional equations, kinetic equations, and elasticity systems. Her recent work also explores integral transforms and data consistency conditions arising in tomography and medical imaging, particularly Compton camera imaging.