Research

My research interests have varied considerably over time. As an undergraduate student in pure mathematics, my first research experience was in harmonic analysis, and I came to UCLA with the intention of either continuing this research or pursuing research in the adjacent field of PDE. Since then I’ve moved into applied math, with my first taste of research in this area being in the realm of scientific machine learning. Eventually, I came to find an interest in mathematical and statistical finance, which is where my interests will likely lie for the remainder of my PhD.

Preprints

• PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics

  Yuxuan Liu, Jingmin Sun, Xinjie He, Griffin Pinney, Zecheng Zhang, and Hayden Schaeffer.
  NeurIPS 2024 Foundation Models for Science Workshop, 2024. [code]

• A decoupling proof of the Tomas restriction theorem

  Griffin Pinney.
  arXiv:2112.04111, 2021.