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William P. Minicozzi

William P. Minicozzi

D-Index & Metrics

Mathematics

D-Index
30
Citations
4937
World Ranking
3460
National Ranking
1349

Research.com Recognitions

  • 2015 - Fellow of the American Academy of Arts and Sciences
  • 1998 - Fellow of Alfred P. Sloan Foundation

Overview

William P. Minicozzi is affiliated with MIT in the United States. Their research primarily falls within the field of Mathematics, with a substantial focus on Applied Mathematics and Geometry and Topology. Their work further extends into Mathematical Physics, Astronomy and Astrophysics, and Computational Theory and Mathematics.

Minicozzi's research covers several main topics, including:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Nonlinear Partial Differential Equations
  • Mathematical Dynamics and Fractals
  • Advanced Differential Geometry Research
  • Meromorphic and Entire Functions
  • Algebraic and Geometric Analysis

The scientist has published extensively in several venues, with the most frequent being:

  • arXiv (Cornell University)
  • Advanced Nonlinear Studies
  • Publications mathématiques de l IHÉS
  • Duke Mathematical Journal
  • Annales Scientifiques de l École Normale Supérieure

Some of the recent papers by Minicozzi include:

  • Optimal bounds for ancient caloric functions, 2021, Duke Mathematical Journal
  • Complexity of parabolic systems, 2020, Publications mathématiques de l IHÉS
  • Regularity of elliptic and parabolic systems, 2024, Annales Scientifiques de l École Normale Supérieure
  • Wandering singularities, 2021, Journal of Differential Geometry
  • Singularities and diffeomorphisms, 2022, Notices of the International Consortium of Chinese Mathematicians

Frequent co-authors who have collaborated with Minicozzi include:

  • Tobias Colding
  • Bernard Shiffman
  • Jared Wunsch
  • Nalini Anantharaman
  • Michael R. Douglas

Throughout their career, William P. Minicozzi has been recognized with several awards, including being named a Fellow of the American Academy of Arts and Sciences in 2015 and a Fellow of the Alfred P. Sloan Foundation in 1998.

Best Publications

  • Generic mean curvature flow I; generic singularities

    Tobias H. Colding;William P. Minicozzi

  • A Course in Minimal Surfaces

    Tobias H. Colding;William P. Minicozzi

  • HARMONIC FUNCTIONS ON MANIFOLDS

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected

    Tobias H. Colding;William P. Minicozzi

  • The Calabi-Yau conjectures for embedded surfaces

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks

    Tobias H. Colding;William P. Minicozzi

  • Uniqueness of blowups and Łojasiewicz inequalities

    Tobias Holck Colding;William P. Minicozzi

  • Harmonic functions with polynomial growth

    Tobias H. Colding;William P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains

    Tobias H. Colding;William P. Minicozzi

  • LIOUVILLE THEOREMS FOR HARMONIC SECTIONS AND APPLICATIONS

    Tobias H. Colding;William P. Minicozzi

  • Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman

    Tobias H. Colding;William P. Minicozzi

  • Smooth compactness of self-shrinkers

    Tobias H. Colding;William P. Minicozzi Ii

  • Estimates for parametric elliptic integrands

    Tobias H. Colding;William P. Minicozzi

  • Mean curvature flow

    Tobias Holck Colding;William P. Minicozzi;Erik Kjær Pedersen

  • Lower Bounds for Nodal Sets of Eigenfunctions

    Tobias H. Colding;William P. Minicozzi

  • Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature

    J. Cheeger;T. H. Colding;W. P. Minicozzi

  • The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus

    Tobias H. Colding;William P. Minicozzi

  • Weyl type bounds for harmonic functions

    Tobias H. Colding;William P. Minicozzi

  • On uniqueness of tangent cones for Einstein manifolds

    Tobias Holck Colding;William P. Minicozzi

  • The Round Sphere Minimizes Entropy among Closed Self-Shrinkers

    Tobias Holck Colding;Tom Ilmanen;William P. Minicozzi;Brian White

  • Embedded minimal disks: Proper versus nonproper—global versus local

    Tobias H. Colding;William P. Minicozzi

  • Shapes of embedded minimal surfaces

    Tobias H. Colding;William P. Minicozzi

Frequent Co-Authors

Camillo De Lellis
Camillo De Lellis Institute for Advanced Study
Christopher D. Sogge
Christopher D. Sogge Johns Hopkins University
Brian White
Brian White Stanford University
Shing-Tung Yau
Shing-Tung Yau Tsinghua University

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