Paul Fili

Associate Professor

Department of Mathematics

My Contact Info

Office: MSCS 532
Office hours (online): For Math 4023/5073, Wednesday 2:30-3:20 pm, Thursday 5:00-5:50 pm; for Math 2163, Thursday 4:00-4:50 pm, Friday 1:00-1:50 pm; and by appointment.
E-mail: paul.fili (at)


In the Fall of 2020, I am teaching Math 2163: Calculus III, and Math 4023/5073: Introduction to Analysis. Course pages are available on Canvas.


My research interests are in number theory and analysis. I am primarily interested in topics relating to the distribution of algebraic numbers and points of small height, potential theory, and arithmetic dynamics. My work is focused on Bogomolov and Lehmer type problems as well as unlikely intersections for dynamical systems.



Unpublished notes

Here is my doctoral thesis, Orthogonal decomposition of the space of algebraic numbers modulo torsion from the University of Texas at Austin (May 2010).

About me

My Curriculum Vitae.

I received my bachelor's degree in Mathematics and Physics with a language citation in Classical Greek from Harvard University in 2004. I wrote my senior honors thesis on Lenstra's Elliptic Curve method of factorization under the direction of Frank Calegari. I received my Ph.D in Mathematics in May 2010 at the University of Texas at Austin studying under the supervision of Jeffrey Vaaler.

Last updated Sept. 1, 2020.