Research Interests

  •  Partial Differential Equations/Calculus of Variations
    • Existence and regularity for evolutionary problems
    • Degenerate parabolic equations and systems
    • Obstacle problems
    • Boundary regularity
    • Variational problems and flows with linear growth
    • Problems with nonstandard growth

  • Geometric Analysis
    • Geometric flows
    • Surfaces with prescribed mean curvature
    • Geometric measure theory
    • Quantitative geometric inequalities