Xiaotong (Dawson) Yang

About Me

Ph.D. candidate in mathematics at the University of Illinois Chicago advised by Prof. Mimi Dai.

Here is my CV.

Education

• University of Illinois Chicago 2023 – Present
  Ph.D. in Mathematics
  In Progress, candidacy achieved
• University of Notre Dame 2019 – 2023
  B.Sc. in Mathematics
  Minors: Actuarial Science, Musical Theatre

Research

Partial differential equations, Fluid dynamics

• Instantaneous blowup of incompressible flow with passive tracer
  with M. Dai
  arXiv:2604.11769 (2026)
• Half Strong Ill-Posedness of 2¹⁄₂D Electron Magnetohydrodynamics with Fractional Resistivity
  with H. Zhu
  arXiv:2603.20477 (2026)
• Asymptotic fluctuations of the standard random walk
  Undergraduate thesis advised by Prof. Liviu I. Nicolaescu
  CurateND link (2023)

Lecture Notes

Notes on Classical Methods of Partial Differential Equations: These lecture notes are from Math 576 taught at UIC.

Notes on Harmonic Analysis: Written in the summer of 2025, these notes cover introductory harmonic analysis. Please refer to the introduction page for more information.

Teaching

Teaching Assistant:

• Spring 2026: Math 294 Special Topics in Mathematics for Math 330 Abstract Algebra I
• Fall 2025: Math 210 Calculus III
• Spring 2025: Math 121 Precalculus Mathematics
• Fall 2024: Math 181 Calculus II
• Summer 2024: Math 165 Calculus for Business
• Spring 2024: Math 125 Elementary Linear Algebra for Business
• Fall 2023: Math 180 Calculus I

Grader:

• Spring 2026: Math 218 Applied Linear Algebra
• Fall 2025: Math 310 Applied Linear Algebra
• Summer 2025: Math 210 Calculus III

Music

I am a classical pianist. Some of my recordings can be found on YouTube.

• Licentiate of the Royal Schools of Music (LRSM)
  ABRSM, November 2025

Contact Information