Overview
My research is in the area of probability and partial differential equations, which have been used to model many phenomena in the natural sciences and engineering. Asymptotic analysis has been a common theme in much of my research. Current research interests include: stochastic dynamics, interacting particle systems, reaction-diffusion equations, applications to biological models.
Current Appointments & Affiliations
Alexander Hehmeyer Professor of Mathematics
·
2025 - Present
Mathematics,
Trinity College of Arts & Sciences
Professor of Mathematics
·
2021 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
On spectral interference of the short-time Fourier transform and its nonlinear variations
Journal Article · January 15, 2026 Featured Publication Full text Link to item CiteResidual Diffusivity for Expanding Bernoulli Maps
Preprint · May 26, 2025 Featured Publication Full text CiteLocal collective memory from ratiometric signaling outperforms cellular gradient sensing limits
Preprint · April 24, 2025 Featured Publication Full text CiteRecent Grants
RTG: Training Tomorrow's Workforce in Analysis and Applications
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2026Support for Southeastern Probability Conference
ConferenceCo Investigator · Awarded by National Science Foundation · 2020 - 2024CAREER: Research and training in stochastic dynamics
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2014 - 2020View All Grants
Education, Training & Certifications
University of Texas, Austin ·
2006
Ph.D.
Davidson College ·
2000
B.S.