Lorenzo Sarnataro

Department of Mathematics, Princeton University
Office: Fine Hall 410
Email: lorenzos at princeton.edu




I am a fifth-year PhD student in the Department of Mathematics at Princeton University. My advisor is Fernando Codá Marques.

Here is my CV.




Research interests: Geometric Analysis, Minimal Surfaces, Geometric Flows.



Research

  1. Allen-Cahn construction of free boundary minimal hypersurfaces
    (Joint with Martin Li and Davide Parise) in preparation

  2. Boundary behavior of limit-interfaces for the Allen-Cahn equation on Riemannian manifolds with Neumann boundary condition
    (Joint with Martin Li and Davide Parise) arXiv:2312.07210

  3. Existence of closed embedded curves of constant curvature via min-max
    (Joint with Douglas Stryker) arXiv:2306.04840

  4. Optimal regularity for minimizers of the prescribed mean curvature functional over isotopies
    (Joint with Douglas Stryker) arXiv:2304.02722



Talks

January 2024 University of Copenhagen Geometry Seminar
December 2023 ETH Analysis Seminar
December 2023 UCSD Differential Geometry Seminar
December 2023 Caltech Geometry and Topology Seminar
November 2023 University of Chicago Geometric Analysis Seminar
November 2023 MIT Geometric Analysis Seminar
November 2023 Recent advances in geometric analysis at CIRM
October 2023 Rutgers University Geometric Analysis Seminar
October 2023 Rice University Geometry Seminar
September 2023 Cornell University Analysis and Geometric Analysis Seminar
April 2023 Princeton Graduate Student Seminar


Teaching

At Princeton University:

Fall 2023 Teaching assistant for MAT 300: Multivariable Analysis I
Spring 2023 Precept instructor for MAT 175: Mathematics for Economics and Life Sciences
Fall 2022 Precept instructor for MAT 175: Mathematics for Economics and Life Sciences
Spring 2022 Precept instructor for MAT 201: Multivariable Calculus
Fall 2021 Precept instructor for MAT 201: Multivariable Calculus
Spring 2021 Teaching assistant for MAT 201: Multivariable Calculus
Fall 2020 Teaching assistant for MAT 300: Multivariable Analysis I