I am an assistant professor in the Department of Mathematics at UCCS.
My research lies primarily in probability theory, statistical physics, and non-convex optimization. In particular, I study high-dimensional random landscapes and disordered systems, including spin glasses, random matrices, and random media. My work focuses on universal results, identifying which features of these landscapes occur in a wide variety of models.
Most of these models originated in physics, but it's since been found that same structures appear in machine learning, high-dimensional statistics, and biology. Here the geometry of a random landscape determines not only how physical dynamics and algorithms transverse it, but also aspects of the solutions they are able to find.
Before coming to Colorado, I was an NSF Postdoctoral Fellow at the Courant Institute at NYU, working with Gérard Ben Arous. Even before that, I received my Ph.D. in mathematics from Northwestern University, where I was supervised by Antonio Auffinger.
Curriculum Vitae | arXiv | Google Scholar
Email: pkivimae ⊕ uccs . edu