Area of research
Computational Theory and Mathematics · Applied Mathematics
Research interest
Research interests include Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations, Composite Material Mechanics, and Advanced Numerical Methods in Computational Mathematics.
Variational methods for the kineticFokker–Planck equation
Quantitative stochastic homogenization and regularity theory of parabolic equations
Stochastic homogenization of a nonconvex Hamilton–Jacobi equation
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations
Viscosity solutions of general viscous Hamilton–Jacobi equations
Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity
Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited
Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations
Partial regularity of solutions of fully nonlinear, uniformly elliptic equations
Singular Solutions of Fully Nonlinear Elliptic Equations and Applications
Coarse-graining, Renormalization, and Fractal Homogenization
Renormalization in Statistical Mechanics and Partial Differential Equations
Quantitative Stochastic Homogenization and Renormalization Methods
Quantitative Methods for Modeling Properties of Random Media
PostDoctoral Research Fellowship