Research

Probability and statistical mechanics, from growing clusters to phase transitions in the Ising model.

Cluster–cluster aggregation

Sep 2026

My Master's thesis under Noam Berger: how slowly moving clusters grow, what geometry they leave behind, and how momentum changes the dynamics.

in progress#probability#statistical-mechanics

The lattice outburst process

Sep 2026

How a lattice infection model helps bound cluster growth and its moments.

in progress#probability

Two gaps in the Ising model

Sep 2026

How the distance to a complex zero of the partition function controls the length scale of correlations—and the proof detour that made the comparison work.

preprint#mathematical-physics#statistical-mechanics