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