C. Alexander Rodriguez

I am a Postdoctoral Assistant Professor in the Department of Mathematics at the University of Michigan. Before joining Michigan, I completed my PhD in Mathematics at the University of Toronto under the supervision of Jeremy Quastel.

My research interests include the Kardar-Parisi-Zhang (KPZ) universality class, integrable probability, stochastic analysis, and classical and quantum integrable systems. My current focus is on building explicit connections between integrable KPZ models and structures in classical integrability theory. More broadly, I'm interested in how notions of universality in KPZ and in integrable systems interact with each other across pre-asymptotic and asymptotic regimes.

Email: rodrigca@umich.edu

Office: 4060 East Hall

Publications

Non-Abelian Hirota-Miwa Equations for the KPZ Universality Class (arXiv).
Bilinear Differential-Difference Equations and One-Point Distributions of Some KPZ-Class Models (arXiv, pdf ).

Talks and Travels

Toronto Probability Seminar - "The Hirota Bilinear Difference Equation in KPZ" (Speaker, Nov. 10th, 2025)
School on Stochastic Interacting Particle Systems and Random Matrices (Rényi Institute, Jun. 23-27th, 2025)
Workshop on stochastic interacting particle systems and random matrices (Rényi Institute, Jun. 16-20th, 2025)
All roads to the KPZ universality class (American Institute of Mathematics, Mar. 17-21st, 2025)
Bird's Eye Conference - "KPZ is still so mysterious to me" (Speaker, Probability Program Chair, University of Toronto, Mar. 1st, 2025).
Advances in Probability Theory and Interacting Particle Systems: A Conference in Honor of S.R.Srinivasa Varadhan (Harvard University, Aug. 26-28th, 2024)
Universality and Integrability in KPZ (Columbia University, Mar. 11-15th, 2024)
Bird's Eye Conference - "Infinite Obliquely Reflecting Brownian Motions: Existence and Uniqueness, Duality, and KPZ Universality" (Speaker, University of Toronto, Mar. 1st, 2023).

Teaching

MATH 425, Introduction to Probability, University of Michigan, Fall 2026
MAT235, University of Toronto, Fall–Winter 2025–2026
MAT235, University of Toronto, Summer 2025

Some simulations

I enjoy visualizing my research with simulations - some examples are given below. Disclaimer: many of them need to be updated/labelled properly.

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