Paul Duncan
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 10/25).
Papers
On the Continuity of Enhancement Percolation (with Ben Schweinhart and David Sivakoff), preprint.
Generalized cluster algorithms for Potts lattice gauge theory (with Anthony Pizzimenti and Ben Schweinart), preprint.
Some Properties of the Plaquette Random-Cluster Model (with Ben Schweinhart), preprint.
A Sharp Deconfinement Transition for Potts Lattice Gauge Theory in Codimension Two (with Ben Schweinhart), Communications in Mathematical Physics, 406(7), 164 (2025).
Topological Phases in the Plaquette Random-Cluster Model and Potts Lattice Gauge Theory (with Ben Schweinhart), Communications in Mathematical Physics, 406(6), 145 (2025).
Homological percolation on a torus: plaquettes and permutohedra (with Matt Kahle and Ben Schweinhart), Ann. Inst. H. Poincaré Probab. Statist. 61 (3) 2235 - 2261 (2025).
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).