My main research interests are Geometric Measure Theory, Partial Differential Equations, Shape Optimization, Nonlinear Hyperbolic Conservation Laws and Shock Waves, Free Boundary Problems.
My research has been supported by the following grants: NSF DMS-0540869, NSF DMS-0901245, PRF Summer Faculty award (2008), PRF Travel Grant (2016), Simons Foundation Award Number 524190, NSF DMS-1813695
