I am a fourth year graduate student in mathematics at MIT, advised by Prof. Tobias Colding. My research interests include geometric analysis, nonlinear PDEs, and optimal transport.

Before coming to MIT, I completed my master’s degree at ETH Zürich under the supervision of Prof. Alessio Figalli, and my undergraduate studies at École Polytechnique under the supervision of Prof. Yvan Martel.

Preprints

1. Topological Bernstein Theorems for Minimal Hypersurfaces in $\mathbb{R}^4$ Confined in Space (with Alexander McWeeney). [pdf].
2. Spectral Obstructions to Contracting Transport Maps on Curved Spaces. [pdf].
3. On the Calabi-Yau Conjectures for Minimal Hypersurfaces in Higher Dimensions (with Alexander McWeeney). [pdf].
4. Continuous in time bubbling and Soliton Resolution for Non-negative Solutions of the Energy-Critical Heat Flow. [pdf].
5. Entropic Selection Principle for Monge’s Optimal Transport (with Promit Ghosal). [pdf].
6. Free Energy Minimizers With Radial Densities: Classification And Quantitative Stability (with Lauro Silini). [pdf].
7. Soliton resolution for the energy-critical nonlinear heat equation in the radial case, to appear in Analysis & PDE. [pdf].
8. Stability of Wu’s logarithmic Sobolev inequality via the Poisson-Föllmer process (with Pablo López-Rivera and Yair Shenfeld), to appear in Electronic Communications in Probability. [pdf].
9. 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].
10. Trend to equilibrium for flows with random diffusion (with Matthew Rosenzweig and Gigliola Staffilani), to appear in IMRN. [pdf].
11. Stability of Hardy Littlewood Sobolev Inequality under Bubbling, Calc. Var. Partial Differential Equations 62 (2023), no.8, Paper No. 223., [pdf].
12. Existence of two-solitary waves with logarithmic distance for the nonlinear Klein-Gordon equation, Commun. Contemp. Math. 24, 2050091 (2020), [pdf].