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William P. Minicozzi

  1. Generic mean curvature flow I; generic singularities
    2009/08/26 by Tobias Colding, William P. Minicozzi, Colding, Tobias H. +1 · 21 citations
    Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
  2. Uniqueness of blowups and Lojasiewicz inequalities
    2013/12/14 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 5 citations
    Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
  3. Smooth compactness of self-shrinkers
    2009/07/15 by Tobias Colding, William P. Minicozzi, Colding, Tobias H. +1 · 3 citations
    Engineering · Mathematics · #Advanced Materials and Mechanics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
  4. The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
    2002/10/09 by Tobias H. Colding, Tobias Colding, William P. Minicozzi II +3 · 2 citations
    Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities #math.AP #math.DG
  5. The Calabi-Yau conjectures for embedded surfaces
    2004/04/09 by Tobias Colding, Colding, Tobias H., William P. Minicozzi +1 · 2 citations
    Mathematics · #Algebraic Geometry and Number Theory #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
  6. The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus
    2005/09/27 by Tobias Colding, William P. Minicozzi, Colding, Tobias H. +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
  7. Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck\n operator
    2017/09/21 by Tobias Colding, Colding, Tobias Holck, William P. Minicozzi +1 · 1 citation
    Economics, Econometrics and Finance · Mathematics · #53C21 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Stochastic processes and financial applications
  8. Liouville properties
    2019/02/25 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 1 citation
    Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Chemical Thermodynamics and Molecular Structure #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #History and advancements in chemistry
  9. Regularity of elliptic and parabolic systems
    2019/04/30 by Tobias Colding, Colding, Tobias Holck, William P. Minicozzi +1 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  10. Optimal growth bounds for eigenfunctions
    2021/09/10 by Tobias Colding, Colding, Tobias Holck, William P. Minicozzi +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
  11. Gradient estimates for scalar curvature
    2025/01/29 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows
  12. Eigenvalue lower bounds and splitting for modified Ricci flow
    2023/05/03 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations