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William Minicozzi

University of Baltimore

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Featured researches published by William Minicozzi.

Proceedings of the National Academy of Sciences of the United States of America | 2013

Monotonicity and its analytic and geometric implications

Tobias H. Colding; William Minicozzi

In this expository article, we discuss various monotonicity formulas for parabolic and elliptic operators and explain how the analysis of function spaces and the geometry of the underlining spaces are intertwined. After briefly discussing some of the well-known analytical applications of monotonicity for parabolic operators, we turn to their elliptic counterparts, their geometric meaning, and some geometric consequences.

Archive | 2017

Arnold-Thom gradient conjecture for the arrival time

Tobias H. Colding; William Minicozzi

Archive | 2016

Level set flow for motion by mean curvature

Tobias H. Colding; William Minicozzi

Archive | 2016

Level set flow

Tobias H. Colding; William Minicozzi

Springer Berlin Heidelberg | 2015

The singular set of mean curvature flow with generic singularities

Tobias H. Colding; William Minicozzi

Archive | 2015

Holonomic D-modules on abelian varieties . Finite basis for analytic multiple gaps . Partial regularity for optimal transport maps . Bilipschitz and quasiconformal rotation, stretching and multifractal spectra . Quadratic differentials as stability conditions . Knot state asymptotics I: AJ conjecture and abelian representations . Knot state asymptotics II: witten conjecture and irreducible representations . Rigidity of generic singularities of mean curvature flow

Christian Schnell; Antonio Avilés; Stevo Todorcevic; Guido De Philippis; Kari Astala; Tom Bridgeland; Ivan Smith; L. Charles; J. Marché; Tobias H. Colding; Tom Ilmanen; William Minicozzi

Archive | 2011

Weak convergence, compactness and applications

Tobias H. Colding; William Minicozzi

Archive | 2011

Embedded solutions of the Plateau problem

Tobias H. Colding; William Minicozzi

Archive | 2011

Min-max constructions

Tobias H. Colding; William Minicozzi

Archive | 2011

The beginning of the theory

Tobias H. Colding; William Minicozzi

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Tobias H. Colding

Massachusetts Institute of Technology

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Antonio Avilés

University of Murcia

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Stevo Todorcevic

University of Toronto

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Guido De Philippis

University of Bonn

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Tom Bridgeland

University of Sheffield

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Tom Ilmanen

ETH Zurich

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