Homepage of Jeremy Wu 🇨🇦

DPhil Student He/Him

S1.07 Mathematical Institute
University of Oxford
United Kingdom

E-mail: jeremy(dot)wu(at)maths(dot)ox(dot)ac(dot)uk

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About

I am a Postdoctoral researcher under the Hedrick Assistant Adjunct Professor position at UCLA.

I obtained my DPhil (PhD) in 2022 at the Mathematical Institute in the University of Oxford within the OxPDE research group. My PhD supervisors were José Carrillo and Matias Delgadino.

I obtained my MSci during my undergraduate studies from 2013-2017 at Imperial College London. Afterward, I obtained my MAst from 2017-2018 from the University of Cambridge.

As an applied mathematician, my main interest is the study of Partial Differential Equations (PDE) for modelling physical phenomena. In particular, the focus of my PhD thesis is on the gradient flow structure of the spatially homogeneous Landau-Fokker-Planck equation $$\partial_t f(t,v) = \nabla \cdot \left(f(v)\int_{\mathbb{R}^3}f(v_*) |v-v_*|^{2+\gamma} \left[I - \frac{v \otimes v}{|v|^2} \right](\nabla \log f(v) - \nabla \log f(v_*))dv_* \right), \quad \gamma \in [-4,0]. $$

You can read more about the Landau equation and its relation to the famous Boltzmann equation here.

Broadly speaking, I am interested in gradient flows, kinetic theory, and their intersections.