I’m a maths graduate student at Caltech. My advisor is Tom Hutchcroft. I work on problems in discrete probability.
My email address is peaso@caltech.edu.
Research
Sharpness and locality for percolation on finite transitive graphs
Preprint
The critical percolation probability is local, with Hutchcroft
Preprint, featured in Quanta
Uniform finite presentation for groups of polynomial growth, with Hutchcroft
Discrete analysis, to appear
Double-exponential susceptibility growth in Dyson's hierarchical model with |x−y|^-2 interaction, with Hutchcroft and Kurrek
Journal of Mathematical Physics
Existence of a percolation threshold on finite transitive graphs
International Mathematics Research Notices
Supercritical percolation on finite transitive graphs I: Uniqueness of the giant component, with Hutchcroft
The wired arboreal gas on regular trees
Electronic Communications in Probability
The Cuntz-Toeplitz algebras have nuclear dimension one, with Garijo et al.
Journal of Functional Analysis
Selected talks
The critical probability is local
Percolation Today
Percolation on finite transitive graphs
Oxford Discrete Maths and Probability Seminar