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 Applied and Computational Harmonic Analysis · July 1, 2026 Spectral interference, commonly referred to as the beating phenomenon, can severely distort time-frequency representations (TFRs) in physical applications. We study this phenomenon for the short-time Fourier transform (STFT) with a Gaussian window and for ... Full text CiteRatiometric signaling produces robust temporal integration for accurate cellular gradient sensing.
Preprint · February 18, 2026 Featured Publication Full text Link to item CiteOn spectral interference of the short-time Fourier transform and its nonlinear variations
Journal Article · January 15, 2026 Featured Publication Full text Link to item CiteRecent Grants
RTG: Training Tomorrow's Workforce in Analysis and Applications
Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2027Support 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
University of Texas, Austin ·
2006
Ph.D.
Davidson College ·
2000
B.S.