Joshua Pfeffer

NSF Postdoctoral Research Fellow

Columbia University

Department of Mathematics

Office: 621

pfeffer [at] math.columbia.edu

I completed my PhD at MIT in May 2020, supported by a National Science Foundation Graduate Research Fellowship and advised by Scott Sheffield. I graduated *summa cum laude* from Harvard with an A.B. and A.M. in May 2015.

My research focuses on probability theory and mathematical physics. I study random curves and surfaces (e.g. Schramm-Loewner evolution, Liouville quantum gravity) that arise as scaling limits of natural discrete models and link to statistical mechanics and conformal field theory.

CV

Publications and Preprints

Weak Liouville quantum gravity metrics with matter central charge c ∈ (1,25).

Geodesics and metric ball boundaries in Liouville quantum gravity

Brownian loops and the central charge of a Liouville random surface

KPZ formulas for the Liouville quantum gravity metric

Weak LQG metrics and Liouville first passage percolation

Bounds for distances and geodesic dimension in Liouville first passage percolation

Liouville quantum gravity with central charge in (1,25): a probabilistic approach

External diffusion-limited aggregation on a spanning-tree-weighted random planar map

Connectivity properties of the adjacency graph of SLE_{κ} bubbles for κ ∈ (4,8)

Anchored expansion, speed, and the hyperbolic Poisson Voronoi tessellation

Talks

University of Chicago Probability Seminar, January 2020.University of Cambridge Probability Seminar, November 2019.

Columbia University Probability Seminar, October 2019.

MIT Probability Seminar, September 2019.

Random Geometry Follow-up Workshop, University of Cambridge, July 2018.

Random Conformal Geometry and Related Fields, Korean Institute for Advanced Study, June 2018.

Teaching Assistantships

Fundamentals of Statistics, MIT, Spring 2018.Topics in Math with Applications in Finance, MIT, Fall 2017.

Introduction to PDEs, MIT, Spring 2017.

Statistics for Applications, MIT, Spring 2017.

Combinatorics, Harvard, Spring 2014.