My research interests lie at the interface between mathematics and biology, with much of my work focused on developing and analyzing mathematical models of infectious disease dynamics to better understand the interplay between different types of heterogeneities affecting disease dynamics and disease control measures. My current work related to this topic focuses on three main topics: (1) linking within-host pharmacokinetics and pharmacodynamics to population-level vector-borne disease transmission and the implications for the spread of drug resistant pathogens (supported by DMS-1816075 Collaborative Research: Linking Pharmacokinetics to Epidemiological Models of Vector-Borne Diseases and Drug Resistance Prevention), (2) modeling the generation of within-vector parasite diversity and the subsequent spread of genetically distinct parasite populations, and (3) understanding population-level dynamics arising from heterogeneity in spatial transmission patterns and host movement.

I am also interested in problems related to model identifiability. Often there is a mismatch between the data available and the data needed to determine reliable estimates of model parameters. In ongoing work, supported by NSF DMS-2045843 CAREER: Designing Optimal Sampling Strategies for Epidemiological Models (2021-2026), I am designing methodologies to bridge this gap.