I am a tenured associate professor of mathematics at Michigan State University. My research combines analytic and geometric techniques to study nonlinear evolutionary partial differential equations that arise in physical and geometric contexts. I am particularly interested in situations where wave-like phenomena arise, such as general relativity, fluids, and the physics of elastic membranes and solids.
Interests
- Geometric/nonlinear wave equations
- Geometric methods for analysis of hyperbolic equations and systems
- Fluid dynamics
- General relativity
Education
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PhD in Mathematics, 2009
Princeton University
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BA with High Honors in Mathematics, 2005
Princeton University