Research: Differential Geometry,
Geometric Analysis, Partial Differential Equations
E-mail:
Office: Gillet Hall 230B
I am an Assistant Professor in the Department of Mathematics at the Lehman College of the City University of New York (CUNY), since the Summer of 2018. Previously, I was a Hans Rademacher Instructor at the Department of Mathematics of the University of Pennsylvania from 2015 to 2018, on leave during the Summer and Fall of 2016 to visit the Max Planck Institute for Mathematics, in Bonn, Germany.
I obtained my PhD from the Department of Mathematics of the University of Notre Dame in 2015, under the supervision of Karsten Grove (whose 70th birthday was celebrated in 2016). My postdoctoral mentors were Wolfgang Ziller at Penn, and Werner Ballmann at the Max Planck Institute.
My fields of research are Differential Geometry and Geometric Analysis. I work in a broad array of topics including conformal geometry, geometric flows, minimal surfaces, bifurcation in variational problems, rank rigidity, and manifolds with positive or nonnegative curvature. My approach to challenging problems in these areas is often guided by investigating key examples that either arise from symmetry assumptions, or that are amenable to symbolic or numeric high performance computational tools.
I am a member of the American Mathematical Society (AMS) and of the Brazilian Mathematical Society (SBM), and a reviewer for Zentralblatt Math and Mathematical Reviews (MathSciNet). I am also an enthusiast of MathOverflow; you can find my user profile here.