William Ford

PhD student in mathematics — École Polytechnique (CMAP) & LMO Paris-Saclay

About

I am a PhD student in mathematics in Paris, advised by Michael Goldman and Cyril Letrouit. I am based at the Centre de Mathématiques Appliquées at École Polytechnique and the Laboratoire de Mathématiques d'Orsay.

My research is in optimal transport. I am currently working on the uniqueness and quantitative stability questions for both the primal and dual optimal transport problems. I recently released a first paper on this subject, regarding uniqueness of solutions to the dual problem, see below.

Contact: william.ford@polytechnique.edu. Offices: 2C1 at LMO and 2008 at CMAP.

Preprints

Quantitative Uniqueness of Kantorovich Potentials

William Ford, 2026.

arXiv PDF

Talks

Quantitative Uniqueness of Kantorovich Potentials

March 2026. OT-ML-PDE research group seminar, LMO Paris-Saclay

Education

2025–2028: PhD in Mathematics, École Polytechnique & LMO Paris-Saclay.
2024–2025: M2 Mathematics, Optimisation track, Institut Polytechnique de Paris / Paris-Saclay.
2020–2024: BSc and MSc Mathematics, Durham University.

Theses

M2 thesis: Quantitative Stability in Discrete Optimal Transport .
MSc thesis: Partial Regularity for Optimal Transport Maps between Uniform Measures .
BSc thesis: Normal Families in Complex Analysis .