Figure 1. A pants decomposition for a surface of genus 2.

Rafael M. Saavedra
I am a graduate student in mathematics at Harvard University. I am interested in hyperbolic geometry and Teichmüller theory. My advisor is Curt McMullen.

I am projected to graduate in the spring of 2027. I am on the job marked in fall 2026.

Research:

0. Identities for hyperbolic tori. In preparation.
1. Periodic points on the regular and double n-gon surfaces (with P. Apisa and C. Zhang). Geom. Dedicata. 216, 69 (2022).  arXiv
2. A simplified approach to Fiedler-like pencils via block minimal bases pencils (with M. Bueno, F. M. Dopico, J. Pérez, and B. Zykoski). Linear Algebra Appl. 547 (2018), 45–104.

Teaching:
In Fall of 2023 I taught a tutorial Math 99r - Complex Dynamics and the Mandelbrot Set.