Area of research
Applied Mathematics · Geometry and Topology
Research interest
Research interests include Geometric Analysis and Curvature Flows, Geometry and complex manifolds, Nonlinear Partial Differential Equations, and Point processes and geometric inequalities.
Singularities of Ricci flow and diffeomorphisms
Eigenvalue lower bounds and splitting for modified Ricci flow
Propagation of symmetries for Ricci shrinkers
Complexity of parabolic systems
Analytical Properties for Degenerate Equations
Arnold‐Thom Gradient Conjecture for the Arrival Time
Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator
Regularity of the Level Set Flow
THE SINGULAR SET OF MEAN CURVATURE FLOW WITH GENERIC SINGULARITIES
2016cited by 45position: last
Uniqueness of blowups and Łojasiewicz inequalities
Rigidity of generic singularities of mean curvature flow
The singular set of mean curvature flow with generic singularities
The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus
On uniqueness of tangent cones for Einstein manifolds
Ricci curvature and monotonicity for harmonic functions
Generic mean curvature flow I; generic singularities
Smooth compactness of self-shrinkers
Singularities and rigidity in geometric evolution equations
Dynamics and Singularities of Geometric Flows
Mean Curvature Flow and Nonlinear Heat Equations
Mean curvature flow and geometric analysis
Mean curvature flow and geometric analysis
Minimal surfaces and geometric flows
FRG: Collaborative Research: Mean curvature flow as a tool in low dimensional topology
Geometric Analysis and Nonlinear Elliptic PDE's
Minimal surfaces and geometric analysis
Embedded Minimal Surfaces in Three Manifolds
Function Theory and Minimal Surfaces
Mathematical Sciences Postdoctoral Research Fellowships