Research

I'm interested in time-dependent PDEs and, more generally, in nice problems in Analysis.

Topics of my research include: ▪ local and nonlocal hypoelliptic drift-diffusion PDEs; ▪ differential games, including mean field games, and related systems of nonlinear PDEs; ▪ the interplay between general potential theories and fully nonlinear PDEs.

Preprints

Long-time and large-population limits of displacement monotone linear-quadratic Nash systems. ⍈
On the unimportance of distant players in sparse stochastic differential games (with M. Cirant). ⍈
A non-asymptotic approach to stochastic differential games with many players under semi-monotonicity (with M. Cirant and J. Jackson). ⍈

Articles

Short-time existence and uniqueness for some infinite-dimensional Nash systems, SIAM J. Math. Anal. 58 (2026), 1978-1999. ⍈
A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity (with M. Cirant), Comm. Pure Appl. Math. 79 (2026), 3–88. ⍈
Some remarks on linear-quadratic closed-loop games with many players (with M. Cirant), Dyn. Games Appl. 15 (2025), 558–591. ⍈
Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity (with M. Cirant and K. R. Payne), Nonlinear Anal. 235 (2023), 113343. ⍈

Monographs

A primer on semiconvex functions in general potential theories (with K. R. Payne), Lecture Notes in Math. 2371, Springer, Cham, 2025. ⍈

Expository notes

A Bug’s Identity (with F. Viganò), Math. Intelligencer 42 (2020), 36–37. ⍈

My arXiv

Google Sites

Report abuse