I am a mathematician specializing in stochastic processes and their applications, especially to biology. My research interests span a broad range of topics in probability theory, including diffusion processes, interacting particle systems, and random measure-valued processes.

I am presently thinking about various families of random walks in random environments that arise in the study of population genetics. In particular, I wish to understand how genetic variation across the genome is limited by the existence of the organismal pedigree as a latent variable constricting the evolution of gene genealogies. This includes ongoing work on quenched ARGs, large sample limits for quenched coalescents, and understanding how pedigrees affect biobank scale datasets with various collaborators. The following are available preprints/publications:

"The quenched coalescent for structured diploid populations with large migrations and uneven offspring distributions"

"Quenched coalescent for diploid population models with selfing and overlapping generations" with Louis Wai-Tong Fan and John Wakeley.

"Gene genealogies in a diploid Moran model with selfing conditional on its pedigree" with Wai-Tong (Louis) Fan and John Wakeley. Theoretical Population Biology. Volume 165, October 2025, Pages 29-44.