About
About
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I am an H.C. Wang assistant professor (postdoc) at Cornell University working with Tara Holm. I obtained my Ph.D. from the University of Illinois Urbana-Champaign under the supervision of Susan Tolman.
I am working in the area of symplectic geometry, with a particular focus on Hamiltonian group actions and integrable systems. Here is my CV.
Contact
Contact
Email: yl4539 at cornell dot edu
Office: 593 Malott Hall
Fall 2026 Office Hours: TBD
Research
Research
(In preparation) Extending Complexity One Spaces to Toric Manifolds (with J. Palmer and S. Tolman).
Skeletons and Toric Extensions of Maximally Short Complexity One Spaces, [arXiv], 2026.
Tall Complexity One Spaces with k-colorable Skeleton, [arXiv], 2026.
Semitoric Families on Pentagon Spaces (with A. Si), submitted, [arXiv], 2025.
A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes. Accepted and to appear in Contemporary Mathematics, [arXiv], 2023
Packing Densities of Delzant and Semitoric Polygons (with Y. Du*, G. Kosmacher*, J. Massman*, J. Palmer, T. Thieme*, J. Wu*, and Z. Zhang*), SIGMA 19 (2023), 081, 42 pages.
*indicates undergraduate coauthor.
Teaching
Teaching
Instructor of Record, University of Illinois Urbana-Champaign
Instructor of Record, University of Illinois Urbana-Champaign
Algebra section of Illinois Scholars Program Summer Bridge Experience, Summer 2025
Math 231 U1 - Calculus II, Spring 2023, Spring 2024
Teaching Assistant, University of Illinois Urbana-Champaign
Math 220 - Calculus, Fall 2021, Spring 2025
Math 231 - Calculus II, Spring 2022
Math 241 - Calculus III, Fall 2022
Merit section of Math 241 - Calculus III Fall, 2025
Mentoring
Mentoring
I have mentored many undergraduate research projects of the Illinois Mathematics Lab. Here's a list of projects I mentored as a graduate student team leader:
Packing capacities of Delzant polygons, Packing capacities of semitoric polygons, Spring 2021
Toric and semitoric packing capacities, (2022 IML Research Award Winner), Fall 2021
Computing packing capacities from polygons, Dynamics of generalized coupled spin systems, Spring 2022
Geodesics on integral affine manifolds, Mrs. E.J. Hoover Summer Research Program, Summer 2024
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