## Research Interests

My research is in probability, combinatorics and the geometry of polynomials. Much my research concerns probabilistic and extremal properties of polynomials as well as stochastic spatial processes such as percolation and interacting random walk.

## Publications and Preprints

- A characterization of polynomials whose high powers have non-negative coefficients (with Julian Sahasrabudhe).
- The frog model on non-amenable trees (with Josh Rosenberg).
- The frog model on Galton-Watson trees (with Josh Rosenberg).
- Central limit theorems and the geometry of polynomials,
*submitted*(with Julian Sahasrabudhe). - A Short Note on the Average Maximal Number of Balls in a Bin,
*submitted*. - Quenched Survival of Bernoulli Percolation on Galton-Watson Trees,
*submitted*, (with Robin Pemantle and Josh Rosenberg). - Central limit theorems from the roots of probability generating functions,
*Advances in Mathematics, to appear,*(with Julian Sahasrabudhe). - Critical Percolation and the Incipient Infinite Cluster on Galton-Watson Trees,
*Electronic Communications in Probability.* - Invasion Percolation on Galton-Watson Trees,
*Electronic Journal of Probability,*(with Robin Pemantle and Josh Rosenberg).