William Minicozzi | Academic Influence

William Minicozzi's AcademicInfluence.com Rankings

William Minicozzi

Mathematics

#1969

World Rank

#3118

Historical Rank

#789

USA Rank

Measure Theory

#1279

World Rank

#1621

Historical Rank

#463

USA Rank

mathematics Degrees

Download Badge

Mathematics

William Minicozzi's Degrees

Bachelors Mathematics Princeton University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is William Minicozzi Influential?

(Suggest an Edit or Addition)

According to Wikipedia, William Philip Minicozzi II is an American mathematician. He was born in Bryn Mawr, Pennsylvania, in 1967. Career Minicozzi graduated from Princeton University in 1990 and received his Ph.D. from Stanford University in 1994 under the direction of Richard Schoen. After graduating he spent a year at the Courant Institute of New York University as a visiting member where he began working with Tobias Colding on harmonic functions on Riemannian manifolds, work he was later invited to present at the Geometry Festival. In 1995, he went to the Johns Hopkins University, with a National Science Foundation postdoctoral fellowship.

(See a Problem?)

William Minicozzi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Generic mean curvature flow I; generic singularities (2009) (580)
A Course in Minimal Surfaces (2011) (323)
HARMONIC FUNCTIONS ON MANIFOLDS (1997) (168)
The Calabi-Yau conjectures for embedded surfaces (2004) (158)
The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected (2002) (147)
Uniqueness of blowups and Łojasiewicz inequalities (2013) (135)
Harmonic functions with polynomial growth (1997) (114)
Smooth compactness of self-shrinkers (2009) (112)
LIOUVILLE THEOREMS FOR HARMONIC SECTIONS AND APPLICATIONS (1998) (108)
Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman (2003) (108)
The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks (2002) (108)
The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks (2002) (105)
The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains (2002) (103)
Lower Bounds for Nodal Sets of Eigenfunctions (2010) (94)
The round sphere minimizes entropy among closed self-shrinkers (2012) (89)
The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus (2005) (86)
Estimates for parametric elliptic integrands (2002) (84)
Width and finite extinction time of Ricci flow (2007) (83)
On uniqueness of tangent cones for Einstein manifolds (2012) (77)
Rigidity of generic singularities of mean curvature flow (2013) (66)
Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature (1995) (66)
The singular set of mean curvature flow with generic singularities (2014) (57)
Shapes of embedded minimal surfaces. (2006) (55)
Large scale behavior of kernels of Schrödinger operators (1997) (50)
Embedded minimal disks: Proper versus nonproper—global versus local (2002) (50)
Surveys in geometric analysis and relativity (2011) (49)
Embedded minimal surfaces (2006) (47)
An excursion into geometric analysis (2003) (46)
Minimal Submanifolds (2005) (46)
Sharp estimates for mean curvature flow of graphs (2003) (41)
Mean curvature flow (2015) (38)
Embedded minimal surfaces in R n (2001) (37)
Negative results for Nikodym maximal functions and related oscillatory integrals in curved space (1999) (37)
Monotonicity and its analytic and geometric implications (2012) (35)
Ricci curvature and monotonicity for harmonic functions (2012) (34)
Multivalued minimal graphs and properness of disks (2002) (32)
Complexity of parabolic systems (2019) (30)
Embedded minimal surfaces without area bounds in 3 - manifolds (1998) (30)
Width and mean curvature flow (2007) (29)
Examples of embedded minimal tori without area bounds (1999) (28)
Disks that are double spiral staircases (2002) (28)
Differentiability of the Arrival Time (2015) (26)
Minimal surfaces and mean curvature flow (2011) (24)
On Function Theory on Spaces with a Lower Ricci Curvature Bound (1996) (22)
GENERALIZED LIOUVILLE PROPERTIES OF MANIFOLDS (1996) (22)
Lojasiewicz inequalities and applications (2014) (21)
Optimal bounds for ancient caloric functions (2019) (21)
On the structure of embedded minimal annuli (2002) (21)
Embedded minimal disks (2002) (20)
Complete properly embedded minimal surfaces in $\mathbf{R}^3$ (2001) (19)
Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications (2007) (19)
The Willmore functional on Lagrangian tori: its relation to area and existence of smooth minimizers (1995) (19)
Regularity of the Level Set Flow (2016) (16)
Minimal annuli with and without slits (2001) (14)
Level set method for motion by mean curvature (2016) (13)
Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator (2017) (11)
Regularity of elliptic and parabolic systems. (2019) (11)
Arnold‐Thom Gradient Conjecture for the Arrival Time (2017) (11)
Dynamics of closed singularities (2018) (10)
Liouville properties (2019) (7)
On the determination of interaction energy surfaces I. Formic and acetic acid dimers (1969) (6)
On the determination of interaction energy functions II. Crystalline formic acid (1970) (6)
Convergence of embedded minimal surfaces without area bounds in three-manifolds (1998) (6)
Parabolic Frequency on Manifolds (2020) (6)
Mean curvature flow as a tool to study topology of 4-manifolds (2012) (5)
Optimal growth bounds for eigenfunctions (2021) (4)
Analytical Properties for Degenerate Equations (2018) (4)
In Search of Stable Geometric Structures (2019) (4)
Wandering Singularities (2018) (4)
Removable singularities for minimal limit laminations (2000) (3)
Singularities of Ricci flow and diffeomorphisms (2021) (3)
Monotonicity - analytic and geometric implications (2012) (3)
Entropy and codimension bounds for generic singularities (2019) (3)
On uniqueness of tangent cones for Einstein manifolds (2013) (2)
Surveys in Differential Geometry IX , International Press An excursion into geometric analysis (2003) (2)
Computer generated display and manipulation of a general molecule (1971) (2)
Minimal submanifolds: Encyclopedia of Mathematical Physics (2005) (1)
Singularities and diffeomorphisms (2022) (1)
Embedded solutions of the Plateau problem (2011) (1)
Book Review: Lecture notes on mean curvature flow: barriers and singular perturbations (2016) (1)
MIN-MAX FOR SWEEPOUTS BY CURVES (2007) (1)
Proper versus nonproper - global versus local; Embedded minimal disks (2002) (0)
Ricci curvature and monotonicity for harmonic functions (2013) (0)
Rigidity of generic singularities of mean curvature flow (2015) (0)
ANALYTICAL PROPERTIES FOR DEGENERATE EQUATIONS TOBIAS HOLCK COLDING AND WILLIAM P. MINICOZZI II (2018) (0)
IN SEARCH OF STABLE GEOMETRIC STRUCTURES TOBIAS HOLCK COLDING AND WILLIAM P. MINICOZZI II (2019) (0)
Complexity of parabolic systems (2020) (0)
Min-max constructions (2011) (0)
Weak convergence, compactness and applications (2011) (0)
Monotonicity and its analytic and geometric (2012) (0)
The beginning of the theory (2011) (0)
Eigenvalue lower bounds and splitting for modified Ricci flow (2023) (0)
What are the shapes of embedded minimal surfaces and why (2005) (0)
Level set flow for motion by mean curvature (2016) (0)
Solutions for the indeterminate term occurring in infinite multipole cubic lattice sums (1971) (0)
For Motion byMean Curvature (2019) (0)
The Mathematics of Richard Schoen (2018) (0)
Level Set Method For Motion byMean Curvature (2016) (0)
Generic Mean Curvature Flow I; Generic Singularities Accessed Terms of Use Detailed Terms Generic Mean Curvature Flow I; Generic Singularities (0)
The Mathematics of Richard Schoen Communicated (2018) (0)
MIN-MAX FOR SWEEPOUTS BY CURVES TOBIAS H. COLDING AND WILLIAM P. MINICOZZI II (2007) (0)
EMBEDDED MINIMAL DISKS WITH PRESCRIBED CURVATURE BLOWUP (2005) (0)
The structure of embedded minimal surfaces (2011) (0)
3-manifold V; Fixed genus (2015) (0)
Singularities and Diffeomorphisms Dedicated to Blaine Lawson with admiration by Tobias Holck Colding *† (2022) (0)
Committee ranking (2015) (0)
The singular set of mean curvature flow with generic singularities (2015) (0)
In Memoriam: Jean Bourgain and Elias M. Stein (2019) (0)
Curvature estimates and consequences (2011) (0)
J an 2 00 6 Embedded minimal surfaces (2006) (0)
Level set flow (2016) (0)
Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator (2018) (0)
2 3 A ug 2 00 2 DISKS THAT ARE DOUBLE SPIRAL STAIRCASES (2003) (0)
Minimal surfaces in three-manifolds (2011) (0)
Commentary on “Nonunique tangent maps at isolated singularities of harmonic maps” by Brian White (2018) (0)

This paper list is powered by the following services:

Other Resources About William Minicozzi

en.wikipedia.org

What Schools Are Affiliated With William Minicozzi?

William Minicozzi is affiliated with the following schools: