Area(s) of Expertise

Calculus of variations, partial differential equations, theory of statistics and machine learning, control theory, optimization, game theory, continuum mechanics, applied analysis.

Publications

• On the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications , Annales Scientifiques de l École Normale Supérieure (2025)
• Uniform convergence of adversarially robust classifiers , European Journal of Applied Mathematics (2025)
• Corrigendum to “Non-linear singularity formation for circular vortex sheets” , Quarterly of Applied Mathematics (2024)
• Eikonal depth: An optimal control approach to statistical depths , Foundations of Data Science (2024)
• Non-linear singularity formation for circular vortex sheets , Quarterly of Applied Mathematics (2023)
• Rates of convergence for regression with the graph poly-Laplacian , Sampling Theory Signal Processing and Data Analysis (2023)
• The geometry of adversarial training in binary classification , Information and Inference A Journal of the IMA (2023)
• Adversarial classification: Necessary conditions and geometric flows , Journal of Machine Learning Research (2022)
• From Graph Cuts to Isoperimetric Inequalities: Convergence Rates of Cheeger Cuts on Data Clouds , Archive for Rational Mechanics and Analysis (2022)
• Tukey Depths and Hamilton--Jacobi Differential Equations , SIAM Journal on Mathematics of Data Science (2022)