Current Duke Appointments & Affiliations
Phillip Griffiths Assistant Research Professor of Mathematics
·
2026 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2026 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Scholarly Works
A study of general reaction-advection-diffusion equations describing dynamics between target, partaker, and inhibitor
Journal article Nonlinear Analysis Real World Applications · February 1, 2027 This paper introduces a reaction-advection-diffusion system that models interactions among three actors: a target, a partaker, and an inhibitor. The framework is versatile, capturing phenomena ranging from the emergence and movement of crime hotspots in ur ... Full text CiteModularity, asymmetry, and polarization shape consensus speed in the voter model
Preprint · March 26, 2026 In populations with community structure, the formation of consensus requires both alignment within and diffusion of beliefs across groups, processes that evolve on distinct time scales. How do modularity, asymmetry, and polarization shape this process? We ... Link to item CiteGlobal bifurcations and pattern formation in target–offender–guardian crime models
Journal article European Journal of Applied Mathematics · January 1, 2026 We study a reaction–advection–diffusion model of a target–offender–guardian system designed to capture interactions between urban crime and policing. Using Crandall–Rabinowitz bifurcation theory and spectral analysis, we establish rigorous conditions for b ... Full text CiteEducation
University of Colorado, Boulder ·
2026
Ph.D.