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)

Teaching

Teaching Assistant Coordinator:

• Fall 2026

Instructor of Record:

• Math 294 Abstract Algebra Workshop

Teaching Assistant:

• Math 330 Abstract Algebra I
• Math 310 Linear Algebra
• Math 218 Applied Linear Algebra
• Math 210 Calculus III
• Math 181 Calculus II
• Math 180 Calculus I
• Math 165 Calculus for Business
• Math 125 Elementary Linear Algebra for Business
• Math 121 Precalculus Mathematics

Directed Reading Program (DRP) Mentor:

• Mentee: Will Brown on Fourier Analysis and Applications

Lecture Notes

Notes on Classical Methods of Partial Differential Equations

Notes on Harmonic Analysis

Music

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

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

Contact Information