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