Hi! I'm Herng Yi (that's my given name), a mathematics Ph.D. candidate and Vanier Scholar at the University of Toronto. My advisors are Regina Rotman and Alexander Nabutovsky. I completed a B.Sc. in Mathematics at MIT.

Research Interests

My research interests lie in Quantitative Topology. I have derived bounds on the sizes or quantities of geodesics and sweep-outs in Riemannian manifolds. My work also involves bounding the geometric complexity of topological constructions such as cohomology operations and homotopy groups.

Publications and Preprints

2025 (Joint with Omar Alshawa) Riemannian 3-spheres that are hard to sweep out by short curves. arXiv:2501.10904
2023 Stable geodesic nets in convex hypersurfaces. Journal of Geometric Analysis.
2022 Stable closed geodesics and stable figure-eights in convex hypersurfaces. (2022) Preprint arXiv:2203.07166
2022 Curvature-free linear length bounds on geodesics in closed Riemannian surfaces. Transactions of the American Mathematical Society.

Teaching

2024 Course Instructor, MAT223S Linear Algebra I
2024 Writing Consultant, Writing NSERC Research Proposals, Graduate Centre for Academic Communication
2021 Mentor, Teaching Assistant Mentorship Programme

Service

2025 Founder, Newsletter of the Mathematics Graduate Student Association
2023 Cofounder, Bird's Eye Conference
2020-21 Diversity and Equity Committee, Dept. of Mathematics, University of Toronto
2017-18 MIT Open Access Task Force​

Banner photo credit: Heejong Lee