Yusheng Luo

Yusheng Luo is an Assistant Professor in the Department of Mathematics at Cornell University. His research focuses on dynamical systems, complex dynamics, and Teichmüller theory, with particular emphasis on the dynamics of rational maps on the Riemann sphere, moduli spaces, and their connections to Kleinian groups, hyperbolic geometry, and Berkovich dynamics. Luo has published several papers in leading mathematics journals, including works on deformation space analogies, circle packings, and the geometry of rational maps. He teaches courses in differential equations, nonlinear dynamics, and supervised research.

Yusheng Luo is a researcher at Cornell University whose work focuses on complex dynamics, geometric function theory, and related areas. His research explores topics such as circle packings, rational maps, and hyperbolic geometry, with an emphasis on the interplay between dynamics, topology, and geometry. Luo's publications address the structure of Julia sets, the behavior of anti-rational maps, and the properties of hyperbolic rational maps. His work also investigates the uniformization of fractal sets and the dynamics of Schwarz reflections. Luo's research contributes to understanding the inhomogeneity of the Mandelbrot set and the deformation spaces of algebraic correspondences.