Paul Duncan

Indiana University

Bloomington, Indiana

pauldunc (at) iu (dot) edu

About Me

My research interests involve combining probability, combinatorics and topology. Recently, I have been studying the random cell complexes arising from percolation models and their applications to statistical physics. I am currently a postdoctoral fellow at Indiana University, hosted by Russell Lyons. I was previously a postdoctoral fellow at the Hebrew University in Jerusalem hosted by Yuval Peled and Gil Kalai, and before that I completed my PhD at Ohio State in 2022 under the supervision of Matthew Kahle. My CV can be found here (updated 9/24).

Papers

Some Properties of the Plaquette Random-Cluster Model (with Ben Schweinhart), submitted.

A Sharp Deconfinement Transition for Potts Lattice Gauge Theory in Codimension Two (with Ben Schweinhart), submitted.

Topological Phases in the Plaquette Random-Cluster Model and Potts Lattice Gauge Theory (with Ben Schweinhart), submitted.

Homological percolation on a torus: plaquettes and permutohedra (with Matt Kahle and Ben Schweinhart), to appear in Annales de l’Institut Henri Poincaré, Probabilités et Statistiques.

Understanding machine‐learned density functionals (with Li, Li, John C. Snyder, Isabelle M. Pelaschier, Jessica Huang, Uma‐Naresh Niranjan, Matthias Rupp, Klaus‐Robert Müller, and Kieron Burke) International Journal of Quantum Chemistry 116(11) (2016):

Pattern avoidance in ascent sequences (with Einar Steingrímsson), The Electronic Journal of Combinatorics 18(1) (2011).