ABOUT ME

I am an Assistant Professor (Pesquisador Adjunto) at  the Instituto Nacional de Matemáticas Pura e Aplicada (IMPA). Prior to joining IMPA I was a tenure-track professor at Arizona State University (2025-2026). Before that I was a postdoc at IHES working with Yilin Wang (2024-2025),  at Yale University (Gibbs Assistant professor 2019-2024, NSF Postdoctoral Fellow 2020-2023) and at the Institute of Advanced Study (Minerva Research Foundation Member 2018-2019). I was a graduate student in Mathematics at the University of California, Berkeley, where I received my PhD in May 2018.  My advisor was Ian Agol.
My interests are Geometry and Topology in low-dimension, mainly geometric aspects of hyperbolic 3-manifolds. Some interests and keywords are Renormalized volume, Teichmüller theory, minimal surfaces, isoperimetric problems, systoles and extremal length.   I passed my qual on March 20, 2014. Here is the transcript of what I was asked.
I also graduated from the Pontificia Universidad Católica del Perú in 2011 with a BA .  I am originally from Lima, Perú.
In Summer 2018 (UC Berkeley), Summer 2022 and Summer 2024 (Yale) I co-organized research groups for undergraduates, focusing on Fundamental domains of hyperbolic 3-manifolds, Minimal area disks and Galois rigidity of hyperbolic 3-manifolds, respectively.

Here are some slides I used for my talk at the Nearly Carbon Neutral Geometric Topology Conference: June 1-14, 2020. You can see the video here