Erik Davis

I am a Postdoctoral Researcher at the University of Arizona for the 2016-2017 academic year. My CV is available here. In May 2016, I completed a Ph.D. in Mathematics at the University of Arizona, advised by Sunder Sethuraman. My undergraduate work was at the University of Texas at Austin.

My research is at the intersection of probability theory and variational analysis. More specifically, I am interested in discrete-to-continuum limits on regular and random structures, and associated optimization problems, which arise in various applied settings – primarily signal processing, data analysis, and machine learning.

With Sunder Sethuraman, I have studied the behavior of the modularity clustering method on random geometric graphs. In particular, we have established a geometric form of consistency in this setting.

In Spring 2017, I am teaching linear algebra.