Research

I study how living systems generate predictable large-scale order. Each project below has a short overview — click a title to read it.

Competition at the front of expanding populations
Sergio Eraso, Mehran Kardar

Stochastic surface-growth models that explain superdiffusive scaling in bacterial range expansions, linking population fronts to KPZ universality and Tracy–Widom statistics.

Under review (2026)
Branching Networks in Biology
Sergio Eraso, Mehran Kardar

Master-equation and Monte Carlo models of stochastic filament growth, identifying universality classes of branch-length distributions set by microscopic rates.

In preparation (2026)
Active Matter Near Boundaries
Sergio Eraso, Ori Yehezkel, Yariv Kafri, Mehran Kardar

Fokker–Planck and hydrodynamic theory for self-propelled particles in confinement, predicting boundary-controlled density and current patterns.

In preparation (2026)
Immune-System Resource Allocation
Andriy Goychuk, David Goh, Sergio Eraso, Ruslan Medzhitov, Arup K. Chakraborty

A systems-level PDE model coupling immune dynamics to tissue-level resources, showing how cytokine-regulated redistribution controls pathogen clearance.

Under review (2025)