Publications and preprints

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

42 pages. Under review at Comm. Pure Appl. Math, 2025.

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

44 pages. Under review at Invent. Math., 2025.

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

25 pages. Under review at Probab. Theory Related Fields, 2025.

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

SIAM J. Math. Anal., to appear.

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

40 pages. Under review at  J. Math. Pures Appl., 2025.

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

J. Math. Pures Appl., 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 J. Math. Anal., 56(1): 43–78, 2024.

doi.org/10.1137/23M1547779 

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

ESAIM Control Optim. Calc. Var., 29:14, 2023.

doi.org/10.1051/cocv/2023004 

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

Ann. Inst. H. Poincaré C Anal. Non Linéaire, 39(1): 1–39, 2022.

doi.org/10.4171/aihpc/1