Jackson Hebner

Status

Postgraduate Student

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Samuel N. Cohen, Filippo de Feo, Jackson Hebner, Justin Sirignano. "Deep Hilbert-Galerkin Methods for Infinite-Dimensional PDEs and Optimal Control". Preprint ID arXiv:2603.19463. March 2026.

Samuel N. Cohen, Jackson Hebner, Deqing Jiang, Justin Sirignano. "Neural Actor-Critic Methods for Hamilton-Jacobi-Bellman PDEs: Asymptotic Analysis and Numerical Studies". Preprint ID arXiv:2507.06428. July 2025.

Research interests

My research is focused on machine learning methods for partial differential equations and stochastic control. My first project concerned the wide-limit training dynamics of an actor-critic algorithm for the Hamilton-Jacobi-Bellman equation. My second project is on numerical schemes for solving nonlinear PDEs on infinite-dimensional Hilbert spaces.

Teaching

Hilary 2026:

Stochastic Control (TA)

Michaelmas 2025:

Financial Derivatives (TA)

Hilary 2025:

Continuous Martingales and Stochastic Calculus (TA)
Deep Learning (TA)

Michaelmas 2024:

Probability, Measure and Martingales (TA)