Herng Yi Cheng
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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
  • Home
  • Publications
  • CV
  • Outreach
  • Art
    • Origami >
      • Origami Design Gallery
      • Origami Publications
      • Origami Research and Applications
      • Modular Polyhedra from Waterbomb Base Units
    • Performance
  • Software
    • Featured Project
  • Blog
    • Featured Post
  • Links