About

I have been a Hale Visiting Assistant Professor at Georgia Tech since Fall 2026. My postdoc mentor is Gong Chen. I received my Ph.D in mathematics from Texas A&M University, where my advisor was Jonas Lührmann.

My research interests are in Partial Differential Equations and Probability Theory.

Email: yli3349@gatech.edu

Office: Skiles 127A

Publications & Preprints

• Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation Y. Li
• Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation under even perturbations Y. Li, J. Lührmann
  To appear in Forum of Math, Sigma
• Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance Y. Li
  Calculus of Variations and Partial Differential Equations, 63 (2024), no. 206
• Quantum Monte Carlo Algorithm for Option Pricing and Its Complexity Analysis J. Chen, Y. Li, A. Neufeld
  Mathematical Finance, (2026)
• Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry Y. Li, J. Lührmann
  Journal of Differential Equations, 344 (2023), 172-202

Teaching

Georgia Tech

• Fall 2026: Math 2551 Multivariable Calculus (Instructor)

Texas A&M University

• Summer 2026: Math 140 Mathematics for Business and Social Sciences (Instructor)
• Spring 2026: Math 409 Analysis on the Real Line (Grader)
• Fall 2025: Math 150 Functions, Trigonometry and Linear Systems (Recitation)
• Spring 2025: Math 140 Mathematics for Business and Social Sciences (Instructor)
• Fall 2024: Math 151 Engineering Mathematics I (Recitation)
• Fall 2023: Math 150 Functions, Trigonometry and Linear Systems (Recitation)
• Spring 2023: Math 612 Partial Differential Equations (Grader)
• Spring 2023: Math 409 Advanced Calculus I (Help sessions)
• Spring 2023: Math 152 Engineering Mathematics II (Recitation, 3 weeks)
• Fall 2022: Math 437 Principles of Numerical Analysis (Recitation) Personal Notes
• Fall 2022: Math 611 Introduction to Ordinary and Partial Differential Equations (Grader)
• Fall 2021: Math 151 Engineering Mathematics I (Recitation)
• Summer 2021: Math 409 Advanced Calculus I (Grader)
• Summer 2021: Math 412 Theory of Partial Differential Equations (Grader)
• Spring 2021: Math 308 Differential Equations (Grader)

Nanyang Technological University

• Fall 2019: MH1802 Calculus for the Sciences (Recitation)

Conference/Seminar Talks

• AMS South Eastern Sectional Meeting, Kennesaw State University, 10 October 2026.
• ICM Satellite Conference 2026 in PNW, University of Washington, 4 August 2026
• Applied Math Physics Seminar (online), Georgia Southern University, 23 April 2026
• Elaine Hubbard PDE Seminar, Georgia Tech, 10 March 2026
• Harmonic Analysis and Differential Equations Seminar, UC Berkeley, 10 February 2026
• Graduate seminar on Advanced topics in PDE, University of Bonn, 12 December 2025
• Oberseminar Mathematical Physics and PDE, University of Cologne, 9 December 2025
• Elaine Hubbard PDE Seminar (online), Georgia Tech, 18 November 2025
• Texas (Partial) Differential Equations Conference, University of Houston-Downtown, 8 March 2025
• Analysis Seminar, University of Massachusetts, Amherst, 4 November 2024
• Brown-Yale Seminar, Brown University, 2 November 2024
• SIAM Conference Texas-Louisiana, Baylor University, 11-13 October 2024
• AMS Spring Southeastern Sectional Meeting, Florida State University, 23 March 2024
• Texas Analysis and Mathematical Physics Symposium, Texas A&M University, 10 February 2024
• Nonlinear PDEs Seminar, Texas A&M University, 31 October 2023
• Trends in Soliton Dynamics and Singularity Formation for Nonlinear Dispersive PDEs, Texas A&M University, 22 October 2022