Paul Duncan
The Ohio State University
Columbus, Ohio
duncan (dot) 1212 (at) osu (dot) edu
About Me
My research interests involve combining probability, combinatorics and topology. Recently, I have studied the topology of random cell complexes arising from percolation models. I recently finished my PhD at Ohio State under the supervision of Matthew Kahle. In the fall of 2022 I will be a postdoctoral researcher at Hebrew University of Jerusalem, mentored by Gil Kalai and Yuval Peled. My CV can be found here (updated 8/22).
Papers
Topological Phases in the Plaquette Random-Cluster Model and Potts Lattice Gauge Theory (with Ben Schweinhart), posted to the arXiv.
Homological percolation on a torus: plaquettes and permutohedra (with Matt Kahle and Ben Schweinhart), submitted.
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).