I am a math graduate student at MIT advised by Prof. Tobias Colding. My research interests include Geometric Analysis, PDEs, and Optimal Transport.

Before coming to MIT, I did my master’s at ETH Zürich where I was advised by Prof. Alessio Figalli, and undergrad at École Polytechnique where I was advised by Prof. Yvan Martel.

Preprints

1. Soliton Resolution Conjecture For The Energy-Critical Nonlinear Heat Flow. [pdf].
2. Entropic Selection Principle for Monge’s Optimal Transport (with Promit Ghosal). [pdf].
3. Free Energy Minimizers With Radial Densities: Classification And Quantitative Stability (with Lauro Silini). [pdf].
4. Stability of Wu’s logarithmic Sobolev inequality via the Poisson-Föllmer process (with Pablo López-Rivera and Yair Shenfeld). [pdf].
5. Soliton resolution for the energy-critical nonlinear heat equation in the radial case. [pdf].
6. Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature (with Michael Law), to appear in Calc. Var. Partial Differential Equations. [pdf].
7. Trend to equilibrium for flows with random diffusion (with Matthew Rosenzweig and Gigliola Staffilani), to appear in IMRN. [pdf].
8. Overdetermined problems with homogeneous weights in the Euclidean plane (with Serena Dipierro and Enrico Valdinoci). [pdf]
9. Stability of Hardy Littlewood Sobolev Inequality under Bubbling, Calc. Var. Partial Differential Equations 62 (2023), no.8, Paper No. 223., [pdf].
10. Existence of two-solitary waves with logarithmic distance for the nonlinear Klein-Gordon equation, Commun. Contemp. Math. 24, 2050091 (2020), [pdf].