I am presently thinking about various conditional coalescent models and the (non-)robustness of their limits, especially in the context of the evolution of self-fertilization.

"The quenched structured coalescent for diploid populations on finite graphs 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.

I am also interested in various aspects of understanding the fitness landscape for biological populations. In the simplest sense, this landscape is modeled by solutions to the Fisher-Kolmogorov-Petrovsky-Piskuonov (FKPP) equation. I have been working on extending classical results on equations of KPP type to other geometric domains:

"Traveling wave profiles and asymptotics for equations of KPP type in warped product spaces'" (in preparation) with Louis Wai-Tong Fan