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Colding, Tobias Holck

  1. New monotonicity formulas for Ricci curvature and applications; I
    2011/11/21 by Colding, Tobias Holck · 6 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
  2. On uniqueness of tangent cones for Einstein manifolds
    2012/06/21 by Colding, Tobias Holck, Minicozzi, William P. · 4 citations
    #Algebraic Geometry (math.AG) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  3. The singular set of mean curvature flow with generic singularities
    2014/05/20 by Colding, Tobias Holck, Minicozzi, William P. · 4 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
  4. Ricci curvature and monotonicity for harmonic functions
    2012/09/20 by Colding, Tobias Holck, Minicozzi, William P. · 4 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  5. Uniqueness of blowups and Lojasiewicz inequalities
    2013/12/14 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +1 · 3 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
  6. Characterization of Tangent Cones of Noncollapsed Limits with Lower\n Ricci Bounds and Applications
    2011/08/16 by Tobias Colding, Aaron Naber, Colding, Tobias Holck +1 · 2 citations
    Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
  7. The round sphere minimizes entropy among closed self-shrinkers
    2012/05/09 by Colding, Tobias Holck, Ilmanen, Tom, Minicozzi, William P. +1 · 2 citations
    #35K55 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
  8. Rigidity of generic singularities of mean curvature flow
    2013/04/23 by Colding, Tobias Holck, Ilmanen, Tom, Minicozzi, William P. · 2 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
  9. Complexity of parabolic systems
    2019/03/08 by Colding, Tobias Holck, Minicozzi, William P. · 2 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  10. Parabolic frequency on manifolds
    2020/02/25 by Colding, Tobias Holck, Minicozzi, William P. · 2 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  11. Singularities of Ricci flow and diffeomorphisms
    2021/09/13 by Colding, Tobias Holck, Minicozzi, William P. · 2 citations
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  12. Differentiability of the arrival time
    2015/01/30 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  13. Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator
    2017/09/21 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #53C21 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  14. Wandering Singularities
    2018/09/10 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)
  15. Optimal bounds for ancient caloric functions
    2019/02/05 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
  16. 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
  17. Regularity of elliptic and parabolic systems
    2019/04/30 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  18. In search of stable geometric structures
    2019/07/08 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
  19. Optimal growth bounds for eigenfunctions
    2021/09/10 by Tobias Colding, William P. Minicozzi, Colding, Tobias Holck +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
  20. 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
  21. Eigenvalue lower bounds and splitting for modified Ricci flow
    2023/05/03 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  22. Quantitative uniqueness for mean curvature flow
    2025/02/05 by Colding, Tobias Holck, Minicozzi, William P. · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics