Publications and preprints

1. The supercooled Stefan problem: fractal freezing and the fine structure of maximal solutions (with Raymond Chu and Inwon Kim).

Preprint (2025), 42 pages.

2. Regularity of the free boundary for the supercooled Stefan problem in arbitrary dimensions (with Max Engelstein and Inwon Kim).

Preprint (2025), 44 pages.

3. Free boundary regularity and well-posedness of physical solutions to the supercooled Stefan problem 

Preprint (2025), 25 pages.

4. Transporting a Dirac mass in a mean field planning problem  (with Pierre Cardaliaguet and Alessio Porretta). 

Preprint (2025), 23 pages.

5. Self-similar intermediate asymptotics for first-order mean field games

Preprint (2024), 40 pages.

6. Free boundary regularity and support propagation in mean field games and optimal transport (with Pierre Cardaliaguet and Alessio Porretta). 

Journal de Mathématiques Pures et Appliquées, 190, 2024.

doi.org/10.1016/j.matpur.2024.103599 

7. Regularity and long time behavior of one-dimensional first-order mean field games (with Nikiforos Mimikos-Stamatopoulos)

SIAM Journal on Mathematical Analysis, 56(1): 43–78, 2024.

doi.org/10.1137/23M1547779 

8. Classical solutions to local first-order extended mean field games 

ESAIM: Control, Optimisation and Calculus of Variations, 29:14, 2023.

doi.org/10.1051/cocv/2023004 

9. Classical and weak solutions to local first-order mean field games through elliptic regularity

Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 39(1): 1–39, 2022.

doi.org/10.4171/aihpc/1