Lily (Qiao) Li

Lily Qiao Li

I’m a 4th year graduate student at Princeton University. My advisor is Prof. Dave Gabai. My research is in low-dimensional topology and dynamics.

In Spring 2026, I was at SLMath (formerly MSRI) as a Program Associate for the Topological and Geometric Structures in Low Dimensions program.

I’m supported on a Simons Dissertation Fellowship SFI-MPS-SDF-00015436.

I’ll be on the job market as of Fall 2026 for a postdoctoral position starting in Fall 2027.

Research

5. Finiteness of Singular Orbits of pseudo-Anosov Flows, draft available

Undergraduate papers
  1. Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition (with C. Adams, M. Capovilla-Searle, D. Li, J, McErlean, A. Simons, N, Stewart, and X. Wang), accepted, Communications in Analysis and Geometry
  2. Generalized Augmented Cellular Alternating Links in Thickened Surfaces are Hyperbolic (with C. Adams, M. Capovilla-Searle, D. Li, J, McErlean, A. Simons, N, Stewart, and X. Wang) European Journal of Mathematics 9, 100 (2023)
  3. Upper Bounds for Totally Symmetric Sets (with K. Kordek and C. Partin) Involve, a Journal of Mathematics 14.5 (2022): 853-870.
  4. Finite Quotients of Braid Groups (with A. Chudnovsky, K. Kordek, and C. Partin) Geometriae Dedicata 207, 409-416 (2020)

Recent Talks

  • Oberwolfach Workshop on Low-Dimensional Topology, July 2026
  • Berkeley topology seminar, March 2026
  • AMS Fall 2025 Central Sectionals Special Session on Foliations and 3-manifolds, October 2025