Overview
My current research interests focus on mathematical fluid mechanics and mathematical biology.
In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger operators.
In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger operators.
Current Appointments & Affiliations
William T. Laprade Distinguished Professor of Mathematics
·
2018 - Present
Mathematics,
Trinity College of Arts & Sciences
Professor of Mathematics
·
2017 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
A Nash stratification inequality and global regularity for a chemotaxis-fluid system on general 2D domains
Preprint · March 11, 2026 Link to item CiteReaction enhancement by flux-limited chemotaxis.
Journal Article Journal of mathematical biology · March 2026 Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions; one example is the immune system signalling, where infected tissues release chemokines attracting monocytes ... Full text CiteCHEMOTAXIS AND REACTIONS IN ANOMALOUS DIFFUSION DYNAMICS
Journal Article SIAM Journal on Mathematical Analysis · January 1, 2026 Chemotaxis and reactions are fundamental processes in biology, often intricately intertwined. Chemotaxis, in particular, can be crucial in maintaining and accelerating a reaction. In this work, we extend the investigation initiated by Kiselev and Ryzhik [C ... Full text CiteRecent Grants
RTG: Training Tomorrow's Workforce in Analysis and Applications
Inst. Training Prgm or CMEPrincipal Investigator · Awarded by National Science Foundation · 2021 - 2027Small Scale and Singularity Formation in Fluids
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2023 - 2026Small Scale and Singularity Formation in Fluids
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2025View All Grants
Education
California Institute of Technology ·
1997
Ph.D.