I am currently a postdoc in the Department of Applied Physics and Applied Mathematics in the Fu Foundation School of Engineering and Applied Science at Columbia University.
I am an applied mathematician. I analyze systems of partial differential and integro-differential equations which describe constitutive relations in various scientific applications, including continuum mechanics, machine learning, and fractional PDE modeling. I use variational techniques, compensated compactness techniques, and tools from harmonic analysis to study qualitative behavior of solutions, asymptotic regimes, and the structure of associated function spaces.
2021-present: Postdoctoral Research Scientist at Columbia University
2020-2021: MRC Postdoctoral Associate at the University of Pittsburgh
2014-2020: Graduate Teaching Associate at the University of Tennessee
2017-2018: Graduate Research Associate at Oak Ridge National Laboratory
Variational methods for constitutive models
Modeling: continuum mechanics, supervised machine learning, linear and nonlinear elasticity,
Asymptotics: Γ-convergence, model reduction, moment methods, homogenization
Theory of function spaces associated to elliptic and parabolic equations
Existence, uniqueness and regularity of solutions
Nonlocal integro-differential equations
PhD in Mathematics
University of Tennessee, 2020
Masters in Mathematics
University of Tennessee, 2017
Bachelor of Science
University of Wisconsin - Stevens Point, 2012