Parsa Rangriz

I am a 2nd-year mathematics Ph.D. student at UC San Diego.

Previously, I received a master of mathematics in statistics from University of Waterloo, advised by Aukosh Jagannath. Also, I completed my bachelor's in physics with a minor in mathematics at Sharif University of Technology.

My research is in high-dimensional probability and mathematical physics: random matrix theory, stochastic analysis, and spin glasses. I'm also interested in quantum gravity and conformal field theory.

prangriz [at] ucsd [dot] edu · Google Scholar · LinkedIn

Publications

Limit theorems for SGD in high-dimensional single-layer networks P. Rangriz · Electronic Communications in Probability, 31, No. 55 · August 2026
High-dimensional scaling limits of online SGD in single-index models P. Rangriz · University of Waterloo MMath Thesis · April 2025

Teaching Assistant

UC San Diego 2025 – present

MATH 18 — Linear Algebra (Fall '26)
PHYS 1CL — Waves, Optics & Modern Physics Lab (Summer '26)
MATH 193A — Actuarial Mathematics I (Summer '26)
MATH 180A — Introduction to Probability (Spring '26)
MATH 10B — Calculus II (Winter '26)
MATH 11 — Calculus-Based Introductory Statistics (Fall '25)

University of Waterloo 2023 – 2025

STAT 333 — Stochastic Processes I (Winter '25, Winter '24)
STAT 433 — Stochastic Processes II (Fall '24)
STAT 330 — Mathematical Statistics (Fall '23, Spring '24)
STAT 231 — Probability (Spring '24)
STAT 230 — Statistics (Spring '24)
STAT 202 — Introductory Statistics for Scientists (Fall '23)