# Tosteson, Philip

Assistant Professor

Phillips Hall 386

ptoste@unc.edu

Website

## Research Interests

Topology, combinatorics, representation theory

## Professional Background

B.A. Williams College, 2013; Ph.D University of Michigan, 2019; L.E. Dickson Instructor University of Chicago, 2019-2023

## Research Synopsis

Much of my research is concerned with the asymptotic structure of special families of topological spaces, for instance moduli spaces of curves and configuration spaces. To this end, I often use representation theory of combinatorial categories, such as the category of finite sets. I am also interested in connections between the topology of these spaces and arithmetic statistics, for example factorization statistics of polynomials.

## Representative Publications

*Categorifications of Rational Hilbert Series and Characters of FSop Modules*

P. Tosteson,

Algebra and Number Theory, 16, 2433-2491, 2022

*Stability in the Homology of Deligne-Mumford Compactifications*

P. Tosteson,

Compositio Mathematica, 157 (12), 2021

*Factorization Statistics and Bug–eyed Configuration Spaces*

D. Petersen and P. Tosteson,

Geometry and Topology, 25, 3691-3723, 2021