Hi! I'm Herng Yi (that's my given name), a mathematics Ph.D. student at the University of Toronto. My advisors are Regina Rotman and Alexander Nabutovsky. I completed a B.Sc. in Mathematics at MIT.
I am interested in Riemannian geometry. In particular, I study geodesics under the lens of Quantitative Topology, such as by estimating the quantities or lengths of geodesics that are guaranteed to exist using topological methods.
Curvature-free linear length bounds on geodesics in closed Riemannian surfaces. To appear in Tran. Amer. Math. Soc.