About

I am a math PhD student at Texas A&M University. My research interest is in PDEs and probability. My advisor is Jonas Lührmann.

Office: Blocker 620F

Email: liyo0008@tamu.edu

Publications & Preprints

• Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation under even perturbations Y. Li, J. Lührmann
• 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 solving Black-Scholes PDEs for high-dimensional option pricing in finance and its complexity analysis J. Chen, Y. Li, A. Neufeld
• Soliton dynamics for the 1D quadratic Klein-Gordon equation with symmetry Y. Li, J. Lührmann
  Journal of Differential Equations, 344 (2023), 172-202

Teaching

Texas A&M University

• Spring 2025: Math 140
• 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

Conference/Seminar Talks

• UMass Amherst Analysis Seminar, 4 November 2024
• Brown-Yale Seminar, 2 November 2024
• SIAM Conference Texas-Louisiana, 11-13 October 2024 Slides
• GIGEM, 20 April 2024
• AMS Spring Southeastern Sectional Meeting, 23 March 2024 Slides
• Texas Analysis and Mathematical Physics Symposium, 10 February 2024
• Nonlinear PDEs Seminar, 31 October 2023 Slides
• Working seminar on microlocal analysis and nonlinear waves, 19 October 2023
• Banach and Metric Space Geometry Working Seminar, 17 November 2022 Slides
• Trends in Soliton Dynamics and Singularity Formation for Nonlinear Dispersive PDEs, 22 October 2022 Slides
• Graduate Student Seminar, 13 October 2022
• Dyadic Harmonic Analysis, 28 April 2022