Ph.D., University of Notre Dame, 2015
M.Sc., University of Notre Dame, 2012
M.Sc., University of São Paulo, 2010
B.Sc., University of São Paulo, 2008
Research: Differential geometry, Global analysis
E-mail:
Office: DRL 4E3
I am a Hans Rademacher Instructor of Mathematics at the Department of Mathematics of the University of Pennsylvania, in Philadelphia, PA, USA. During the Summer and Fall of 2016, I visited the Max Planck Institute for Mathematics, in Bonn, Germany.
I obtained my PhD from the Department of Mathematics of the University of Notre Dame, USA, in the Spring of 2015, under the supervision of Karsten Grove (whose 70th birthday was celebrated in 2016). My postdoctoral mentors were Werner Ballmann at Bonn and Wolfgang Ziller at Penn.
My field of research is differential geometry, with emphasis in global analysis and Riemannian geometry. My current interests include geometric flows, minimal surfaces, bifurcation in geometric variational problems, and manifolds with positive or nonnegative curvature. My approach is mainly inspired by the ubiquitous role played by symmetries of geometric structures. I also use high performance computational tools to run symbolic and numeric experiments that guide some of my investigations.
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.