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.

Research Interests

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.

Publications

1. Curvature-free linear length bounds on geodesics in closed Riemannian surfaces. Transactions of the American Mathematical Society.
   
2. Stable geodesic nets in convex hypersurfaces. Preprint arXiv:2109.09377.
3. Index-zero closed geodesics and stable figure-eights in convex hypersurfaces. Preprint arXiv:2203.07166
4. More...

Teaching Assistantships

2021-22 Observing other TAs and giving feedback, Groups and Symmetries
2020-21 Riemannian Geometry, Introduction to Proofs
2019-20 Linear Algebra, Calculus for Engineers

Service

2020-21 Diversity and Equity Committee, Department of Mathematics, University of Toronto
2017-18 MIT Open Access Task Force​

Banner photo credit: Heejong Lee