About: I am a PhD student in mathematics at the University of Chicago. I am fortunate to be advised by Professor André Neves.
My research lies at the intersection of geometric analysis, geometric measure theory, nonlinear PDE, and dynamical systems. I am particularly interested in minimal surfaces and foliations, min–max theory, rigidity problems involving stable norms, and geometric Aubry–Mather–KAM theory.
A central theme of my research is understanding the existence, structure, and stability of minimal foliations on Riemannian manifolds. My work explores the connections between Min–Max theory and Aubry–Mather theory, the rigidity and flexibility of stable norms on tori, and the persistence of minimal foliations under perturbations of the ambient metric. I am also interested in extending these questions to minimal submanifolds of higher codimension through nonlinear elliptic PDE and Nash–Moser techniques.
Here is my recent CV. I am on the job market for a postdoc position this fall.