I am interested in probability and partial differential equations. Some topics I have worked on include quantitative stochastic homogenization, the Abelian sandpile, and Liouville quantum gravity.
Hamilton-Jacobi scaling limits of Pareto peeling in 2D,
with Peter S. Morfe.
To appear in Probability Theory and Related Fields.
[arXiv:2110.06016][Code]
A shape theorem for exploding sandpiles.
To appear in Annals of Applied Probability.
[arxiv:2102.04422][Notebook]
Dynamic dimensional reduction in the Abelian sandpile.
Communications in Mathematical Physics, 390, 933-958 (2022).
[Journal][arxiv:2009.05968][Code]