Introduction
I did my bachelor’s degree at the University of Bern in Switzerland (major: mathematics, minor: computer science). Afterwards, I did my master’s degree at ETH Zürich in mathematics. Currently, I’m completing my DPhil in mathematics at the University of Oxford. I’m supervised by Jose A. Carrillo and Andrea Mondino.
Teaching
I teach first- and second-year courses such as “Introductory Calculus”, “Dynamics” and “Fluids and Waves”. I supervise about three students in each tutorial. I provide my students with a direct channel so that they can reach me whenever they have a question concerning the course material.
Research
- Particle Methods in Optimization and Sampling
- Wasserstein Gradient Flows
- Mean-field limits
Publications
- H. Huang and J. Warnett, “Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games,” arXiv preprint arXiv:2505.13632, 2025
- J. A. Carrillo, J. Skrzeczkowski, and J. Warnett, “The Stein-log-Sobolev inequality and the exponential rate of convergence for the continuous Stein variational gradient descent method,” arXiv preprint arXiv:2412.10295, 2024
- Heistermann, M., Warnett, J., and Bommes, D., “Min-Deviation-Flow in Bi-directed Graphs for T-Mesh Quantization,” ACM Trans. Graph., vol. 42, no. 4, art. no. 70, Jul. 2023, doi: 10.1145/3592437.