Brian White

Q: What Schools Are Affiliated With Brian White

Brian White is affiliated with the following schools: University of California, Berkeley, Yale University, Princeton University, Stanford University

Brian White 's AcademicInfluence.com Rankings

Brian White

Mathematics

#5126

World Rank

#7244

Historical Rank

Measure Theory

#2006

World Rank

#2436

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Brian White 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Brian White Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Brian Cabell White is an American mathematician who specializes in differential geometry and geometric measure theory. He is a professor of mathematics and former chair of the mathematics department at Stanford University. He played a key role in the solution of the double bubble conjecture, that the minimum-area enclosure of two volumes is formed from three spherical patches meeting in a circle and forming dihedral angles of 2/3 with each other, by proving that the optimal solution to this problem is necessarily a surface of revolution.

(See a Problem?)

Brian White '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

A local regularity theorem for mean curvature flow (2005) (241)
THE NATURE OF SINGULARITIES IN MEAN CURVATURE FLOW OF MEAN-CONVEX SETS (2002) (229)
The size of the singular set in mean curvature flow of mean-convex sets (2000) (225)
The structure of branch points in minimal surfaces and in pseudoholomorphic curves (1995) (175)
Stratification of minimal surfaces, mean curvature flows, and harmonic maps. (1997) (163)
Complete surfaces of finite total curvature (1987) (151)
Homotopy classes in Sobolev spaces and the existence of energy minimizing maps (1988) (124)
Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals (1987) (121)
Rectifiability of flat chains (1999) (118)
Infima of energy functionals in homotopy classes of mappings (1986) (109)
The round sphere minimizes entropy among closed self-shrinkers (2012) (89)
Embeddedness of minimal surfaces with total boundary curvature at most 4 pi (2004) (81)
Evolution of curves and surfaces by mean curvature (2002) (77)
Tangent cones to two-dimensional area-minimizing integral currents are unique (1983) (76)
The deformation theorem for flat chains (1999) (76)
Graphical translators for mean curvature flow (2018) (68)
On the bumpy metrics theorem for minimal submanifolds (2015) (68)
Subsequent singularities in mean-convex mean curvature flow (2011) (66)
The maximum principle for minimal varieties of arbitrary codimension (2009) (61)
Currents and flat chains associated to varifolds, with an application to mean curvature flow (2008) (56)
A strong minimax property of nondegenerate minimal submanifolds. (1994) (56)
Partial regularity of mean-convex hypersurfaces flowing by mean curvature (1994) (53)
Existence of smooth embedded surfaces of prescribed genus that minimize parametric even elliptic functionals on 3-manifolds (1991) (50)
Minimal surfaces bounded by convex curves in parallel planes (1991) (47)
Existence of least-energy configurations of immiscible fluids (1996) (46)
The topology of hypersurfaces moving by mean curvature (1995) (45)
The rate of convergence of a harmonic map at a singular point (1989) (43)
A new proof of the compactness theorem for integral currents (1989) (41)
Ancient asymptotically cylindrical flows and applications (2019) (41)
Mappings that minimize area in their homotopy classes (1984) (36)
Which ambient spaces admit isoperimetric inequalities for submanifolds (2008) (31)
New applications of mapping degrees to minimal surface theory (1989) (30)
The least area bounded by multiples of a curve (1984) (30)
A rigidity theorem for properly embedded minimal surfaces in ${\bf R}\sp 3$ (1990) (29)
Nonunique tangent maps at isolated singularities of harmonic maps (1992) (28)
REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY (1984) (26)
Some recent developments in differential geometry (1989) (26)
Genus-one helicoids from a variational point of view (2006) (25)
A local regularity theorem for mean curvature flow with triple edges (2016) (25)
Sharp Lower Bounds on Density of Area-Minimizing Cones (2010) (23)
Helicoidal minimal surfaces of prescribed genus (2013) (23)
Scherk-like translators for mean curvature flow (2019) (22)
Controlling Area Blow-up in Minimal or Bounded Mean Curvature Varieties and Some Extensions of the Allard Regularity Theorems (2012) (22)
Notes on Translating Solitons for Mean Curvature Flow (2019) (21)
The space of minimal annuli bounded by an extremal pair of planar curves (1993) (21)
The bridge principle for stable minimal surfaces (1994) (20)
Nonfattening of Mean Curvature Flow at Singularities of Mean Convex Type (2017) (19)
Regularity of the singular sets in immiscible fluid interfaces and solutions to other plateau-type problems (1986) (19)
The structure of minimizing hypersurfaces mod 4 (1979) (18)
Mean Curvature Flow with Boundary (2019) (18)
Existence of least-area mappings of N-dimensional domains (1983) (18)
On the Compactness Theorem for Embedded Minimal Surfaces in 3-manifolds with Locally Bounded Area and Genus (2015) (17)
Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line (2009) (17)
Sharp entropy bounds for self-shrinkers in mean curvature flow (2018) (16)
Classical area minimizing surfaces with real-analytic boundaries (1997) (16)
Topological change in mean convex mean curvature flow (2011) (16)
The bridge principle for unstable and for singular minimal surfaces (1994) (15)
Lectures on Minimal Surface Theory (2013) (15)
Properly embedded, area-minimizing surfaces in hyperbolic $3$-space (2013) (13)
A RIGIDITY THEOREM FOR PROPERLY EMBEDDED MINIMAL SURFACES IN R 3 (2008) (13)
Generic Transversality of Minimal Submanifolds and Generic Regularity of Two-Dimensional Area-Minimizing Integral Currents (2019) (12)
Generic regularity of unoriented two-dimensional area minimizing surfaces (1985) (11)
A new proof of Federer's structure theorem for $k$-dimensional subsets of $\mathbf{R}^N$ (1998) (11)
Helicoidal minimal surfaces of prescribed genus, II (2013) (10)
A NEW PROOF OF FEDERER’S STRUCTURE THEOREM FOR k-DIMENSIONAL SUBSETS OF R (1998) (10)
Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow (2019) (10)
The geometry of genus-one helicoids (2007) (10)
Axial minimal surfaces in S^2 x R are helicoidal (2009) (9)
On the topological type of minimal submanifolds (1992) (9)
Avoidance for Set-Theoretic Solutions of Mean-Curvature-Type Flows (2018) (9)
Moving plane method for varifolds and applications (2020) (8)
Minimal surfaces bounded by a pair of convex planar curves (1991) (8)
Curvatures of embedded minimal disks blow up on subsets of $C^1$ curves (2011) (7)
Every three-sphere of positive Ricci curvature contains a minimal embedded torus (1989) (7)
The mathematics of F. J. Almgren, Jr. (1998) (7)
Correction to: "Complete surfaces of finite total curvature" (1988) (6)
Homotopy classes in Sobolev spaces and energy minimizing maps (1985) (6)
Soap films bounded by non-closed curves (1998) (4)
On the number of minimal surfaces with a given boundary (2008) (4)
Correction to: Graphical translators for mean curvature flow (2019) (4)
Generic Transversality of Minimal Submanifolds (2019) (4)
The Boundary Term in Huisken's Monotonicity Formula and the Entropy of Translators (2022) (2)
Singularity structure and generic regularity of two-dimensional area-minimizing surfaces (1982) (2)
Some questions of De Giorgi about mean curvature flow of triply-periodic surfaces (1994) (1)
Stationary polyhedral varifolds minimize area. (2019) (1)
On the structure of Branch points of minimizing disks (1987) (1)
Morse-Rad\'o Theory for Minimal Surfaces (2022) (1)
Limiting behavior of sequences of properly embedded minimal disks (2017) (1)
Topological change in mean convex mean curvature flow (2012) (0)
BRIAN WHITE-MINIMAL SURFACES (MATH 258) LECTURE NOTES NOTES BY OTIS CHODOSH AND CHRISTOS MANTOULIDIS (2013) (0)
Rectiflability of ∞at chains (1999) (0)
Boundary singularities in mean curvature flow and total curvature of minimal surface boundaries (2021) (0)
Correction to: Graphical translators for mean curvature flow (2019) (0)
Correction to “Generic regularity of unoriented two-dimensional area minimizing surfaces” (1986) (0)
KEPLER’S LAWS (2021) (0)
Subsequent singularities in mean-convex mean curvature flow (2015) (0)
Annuloids and $\Delta$-wings (2023) (0)
Controlling Area Blow-up in Sequences of Minimal or Bounded-Mean Curvature Varieties and an Extension of the Allard Regularity Theorem (2012) (0)
Change of Topology in Mean Convex Mean Curvature Flow (2011) (0)

This paper list is powered by the following services:

Other Resources About Brian White

What Schools Are Affiliated With Brian White ?

Brian White is affiliated with the following schools:

Brian White 's Academic­Influence.com Rankings