My mathematical interests are Partial Differential Equations, Geometric Analysis and the Calculus of Variations.
Specifically, I have been studying the Monge-Ampère, Linearized Monge-Ampère equations and their applications to nonlinear, fourth order, geometric partial differential equations, semigeostrophic equations and monopolist's problem in economics; the Mean Curvature Flow; and Gamma-convergence and its applications in Mathematical Physics.
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