Boundary regularity for subelliptic equations in the Heisenberg group (with G. Tralli); preprint.
Regularity of two-phase free boundary minimizers in periodic media (with W. M. Feldman); preprint.
Quantitative convergence of the "bulk" free boundary in an oscillatory obstacle problem (with W. M. Feldman); Interfaces Free Bound., Vol. 26 (2024), 31-44.
A perturbative approach to the parabolic optimal transport problem (with J. Kitagawa); SIAM J. Math. Anal., Vol. 55, Issue 6 (2023), 6740-6763.
Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations (with. R. Schwab); J. Funct. Anal. 285 (2023), no. 8, Paper No. 110066, 83 pp.
Inverse iteration for the Monge-Ampere eigenvalue problem (with J. Kitagawa); Proc. Amer. Math. Soc. 148 (2020), no. 11, 4875-4886.
Exponential convergence of parabolic optimal transport on bounded domains (with J. Kitagawa); Anal. PDE 13 (2020), no. 7, 2183-2204.
Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form (with G. Tralli); Arch. Ration. Mech. Anal. 233 (2019), no. 2, 867-900.
Harnack's inequality for a class of non-divergent equations in the Heisenberg group (with C. E. Gutièrrez and G. Tralli); Comm. Partial Differential Equations 42 (2017), no. 10, 1644-1658.
An iterative method for generated Jacobian equations (with C. E. Gutièrrez); Calc. Var. Partial Differential Equations 56 (2017), no. 4, Paper No. 101, 14 pp.
C^{1,\alpha} estimates for the parallel refractor (with C. E. Gutièrrez and G. Tralli); Nonlinear Anal. 142 (2016), 1-25.
On the P-scalar curvature (with J. Corvino); J. Geom. Anal. (2017), Vol. 27, Issue 2, pp 1589-1623.
On isoperimetric surfaces in general relativity, II (with J. Corvino, S. Kapita and H. Wu); J. Geom. Phys. 59 (2009), no. 11, 1453-1460.
NSF DMS-2246611 (2023-2026).
AMS-Simons Travel Grant (2020-2022).