@ Culver City, 2026
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I am a fourth year PhD student at the UC Berkeley Math department, where I am advised by Professor Sunčica Čanić. My research interests lie in deterministic and stochastic nonlinear PDEs arising in fluid dynamics and collective behavior, with a primary focus on well-posedness theory. I completed my B.A. in Mathematics with a minor in Computer Science at New York University in 2022.
Contact: amy_dai@berkeley.edu
Office: Evans 1006
A remark on my name: I go by "Amy" in an English speaking environment, but I publish under "Rongyi Dai", which is the pinyin spelling of my name "戴蓉仪"， pronounced as "DAI-Ron-Yee".
Research
Research
Stochastic Compressible Euler Equations with Frictional Damping: Existence of L^\infty Martingale Solutions and Asymptotic Porous Medium-Like Behavior, joint with J. Kuan, K. Tawri, S. Čanić, K. Trivisa (2026). submitted. [arxiv]
Activities
Activities
Talks
Talks
Existence and long time behavior of solutions to stochastic isentropic Euler equation with frictional damping in 1D
[Upcoming] International Conference on Hyperbolic Problems, Stuttgart, Germany, May 2026
Southern California Applied Mathematics Symposium, Los Angeles, USA, April 2026
Applied PDE Seminar, UC Berkeley, November 2025
Others
Others
I organize the Applied PDE Seminar in Fall 2025 and Spring 2026.
I mentored undergraduate math students on independent reading projects through the Directed Reading Program in Fall 2024, Spring 2025, and Spring 2026.
Teaching
Teaching
Spring 2026: I am on Department Spring Fellowship this semester.
Fall 2025: GSI for Math 55: Discrete Mathematics.
Spring 2025: Head GSI for Math 16A: Analytic Geometry and Calculus.
Fall 2024: GSI for Math 32: Precalculus.
Spring 2024: Head GSI for Math 1B: Calculus II .
Fall 2023: Head GSI for Math 1A: Calculus I .
Spring 2023: GSI for Math 1B: Calculus II .
Fall 2022: GSI for Math 1A: Calculus I .
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