Brian White

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All published works

Action	Title	Year	Authors
+ PDF Chat	Translating annuli for mean curvature flow	2024	David Hoffman Francisco Martín Brian White
+ PDF Chat	On the fundamental regularity theorem for mass-minimizing flat chains	2024	Brian White
+ PDF Chat	Fattening in mean curvature flow	2024	Tom Ilmanen Brian White
+	The avoidance principle for noncompact hypersurfaces moving by mean curvature flow	2024	Brian White
+ PDF Chat	Annuloids and Δ-wings	2024	David Hoffman Francisco Martín Brian White
+ PDF Chat	Moving plane method for varifolds and applications	2023	Robert Haslhofer Or Hershkovits Brian White
+ PDF Chat	Morse–Radó theory for minimal surfaces	2023	David Hoffman Francisco Martín Brian White
+ PDF Chat	Avoidance for set-theoretic solutions of mean-curvature-type flows	2023	Or Hershkovits Brian White
+	Boundary singularities in mean curvature flow and total curvature of minimal surface boundaries	2022	Brian White
+ PDF Chat	Scherk-like translators for mean curvature flow	2022	David Hoffman Francisco Martín Brian White
+ PDF Chat	Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow	2022	David Hoffman Francisco Martín Brian White
+ PDF Chat	Ancient asymptotically cylindrical flows and applications	2022	Kyeongsu Choi Robert Haslhofer Or Hershkovits Brian White
+ PDF Chat	Notes on Translating Solitons for Mean Curvature Flow	2021	David Hoffman Tom Ilmanen Francisco Martín Brian White
+ PDF Chat	Limiting behavior of sequences of properly embedded minimal disks	2020	David Hoffman Brian White
+	Stationary polyhedral varifolds minimize area	2019	Brian White
+	Nguyen's Tridents and the Classification of Semigraphical Translators for Mean Curvature Flow.	2019	David Hoffman Francisco Martín Brian White
+ PDF Chat	Nonfattening of Mean Curvature Flow at Singularities of Mean Convex Type	2019	Or Hershkovits Brian White
+ PDF Chat	Graphical translators for mean curvature flow	2019	David Hoffman Tom Ilmanen Francisco Martín Brian White
+ PDF Chat	Sharp entropy bounds for self-shrinkers in mean curvature flow	2019	Or Hershkovits Brian White
+	Generic Transversality of Minimal Submanifolds	2019	Brian White
+	Mean Curvature Flow with Boundary	2019	Brian White
+	Mean Curvature Flow with Boundary	2019	Brian White
+	Generic Transversality of Minimal Submanifolds and Generic Regularity of Two-Dimensional Area-Minimizing Integral Currents	2019	Brian White
+	A local regularity theorem for mean curvature flow with triple edges	2018	Felix Schulze Brian White
+	Graphical Translators for Mean Curvature Flow	2018	David Hoffman Tom Ilmanen Francisco Martín Brian White
+ PDF Chat	On the compactness theorem for embedded minimal surfaces in $3$-manifolds with locally bounded area and genus	2018	Brian White
+ PDF Chat	A local regularity theorem for mean curvature flow with triple edges	2017	Felix Schulze Brian White
+	Limiting behavior of sequences of properly embedded minimal disks	2017	David Hoffman Brian White
+	Non-fattening of mean curvature flow at singularities of mean convex type	2017	Or Hershkovits Brian White
+ PDF Chat	On the bumpy metrics theorem for minimal submanifolds	2017	Brian White
+	A local regularity theorem for mean curvature flow with triple edges	2016	Felix Schulze Brian White
+ PDF Chat	Controlling area blow-up in minimal or bounded mean curvature varieties	2016	Brian White
+	Helicoidal minimal surfaces of prescribed genus	2016	David Hoffman Martin Traizet Brian White
+ PDF Chat	Curvatures of embedded minimal disks blow up on subsets of $C^1$ curves	2015	Brian White
+	On the Compactness Theorem for Embedded Minimal Surfaces in 3-manifolds with Locally Bounded Area and Genus	2015	Brian White
+	On the Bumpy Metrics Theorem for Minimal Submanifolds	2015	Brian White
+ PDF Chat	Subsequent singularities in mean-convex mean curvature flow	2015	Brian White
+ PDF Chat	Sharp lower bounds on density for area-minimizing cones	2015	Tom Ilmanen Brian White
+	Properly embedded, area-minimizing surfaces in hyperbolic 3-space	2014	Francisco Martín Brian White
+ PDF Chat	The round sphere minimizes entropy among closed self-shrinkers	2013	Tobias Colding Tom Ilmanen William P. Minicozzi Brian White
+	Helicoidal minimal surfaces of prescribed genus, II	2013	David Hoffman Martin Traizet Brian White
+	Properly embedded, area-minimizing surfaces in hyperbolic $3$-space	2013	Francisco Martín Brian White
+	Lectures on Minimal Surface Theory	2013	Brian White
+	Helicoidal minimal surfaces of prescribed genus, I	2013	David Hoffman Martin Traizet Brian White
+	Controlling Area Blow-up in Sequences of Minimal or Bounded-Mean Curvature Varieties and an Extension of the Allard Regularity Theorem	2012	Brian White
+	Controlling Area Blow-up in Minimal or Bounded Mean Curvature Varieties	2012	Brian White
+	Controlling Area Blow-up in Minimal or Bounded Mean Curvature Varieties and Some Extensions of the Allard Regularity Theorems	2012	Brian White
+	The round sphere minimizes entropy among closed self-shrinkers	2012	Tobias Colding Tom Ilmanen William P. Minicozzi Brian White
+ PDF Chat	Topological change in mean convex mean curvature flow	2012	Brian White
+	Some questions of De Giorgi about mean curvature flow of triply-periodic surfaces	2012	Brian White
+	Change of Topology in Mean Convex Mean Curvature Flow	2011	Brian White
+	Curvatures of embedded minimal disks blow up on subsets of C^1 curves	2011	Brian White
+	Subsequent Singularities in Mean-Convex Mean Curvature Flow	2011	Brian White
+ PDF Chat	Axial minimal surfaces in $S^2 x R$ are helicoidal	2011	David Hoffman Brian White
+ PDF Chat	Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line	2011	David Hoffman Brian White
+	Sharp Lower Bounds on Density of Area-Minimizing Cones	2010	Tom Ilmanen Brian White
+ PDF Chat	The maximum principle for minimal varieties of arbitrary codimension	2010	Brian White
+ PDF Chat	The geometry of genus-one helicoids	2009	David Hoffman Brian White
+	Axial minimal surfaces in S^2 x R are helicoidal	2009	David Hoffman Brian White
+ PDF Chat	Which ambient spaces admit isoperimetric inequalities for submanifolds?	2009	Brian White
+	The Maximum Principle for Minimal Varieties of Arbitrary Codimension	2009	Brian White
+	Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line	2009	David Hoffman Brian White
+ PDF Chat	Currents and flat chains associated to varifolds, with an application to mean curvature flow	2009	Brian White
+ PDF Chat	Genus-one helicoids from a variational point of view	2008	David Hoffman Brian White
+	Which Ambient Spaces Admit Isoperimetric Inequalities for Submanifolds	2008	Brian White
+	On the number of minimal surfaces with a given boundary	2008	David Hoffman Brian White
+	The Geometry of Genus-One Helicoids	2007	David Hoffman Brian White
+	Genus-One Helicoids from a Variational Point of View	2006	David Hoffman Brian White
+ PDF Chat	A local regularity theorem for mean curvature flow	2005	Brian White
+	Embeddedness of minimal surfaces with total boundary curvature at most 4\pi	2004	Tobias Ekholm Brian White Daniel Wienholtz
+	Embeddedness of minimal surfaces with total boundary curvature at most 4π	2004	Tobias Ekholm Brian White Daniel Wienholtz
+	The nature of singularities in mean curvature flow of mean-convex sets	2002	Brian White
+	Evolution of curves and surfaces by mean curvature	2002	Brian White
+	Embeddedness of Minimal Surfaces with Total Boundary Curvature at Most 4p	2002	Tobias Ekholm Brian White Daniel Wienholtz
+ PDF Chat	The size of the singular set in mean curvature flow of mean-convex sets	2000	Brian White
+ PDF Chat	Rectifiability of Flat Chains	1999	Brian White
+	Rectifiability of flat chains	1999	Brian White
+ PDF Chat	The deformation theorem for flat chains	1999	Brian White
+	Rectiflability of ∞at chains	1999	Brian White Frederick J. Almgren
+	The mathematics of F. J. Almgren, Jr.	1998	Brian White
+	Soap films bounded by non-closed curves	1998	Jordan A. Drachman Brian White
+ PDF Chat	A new proof of Federer’s structure theorem for $k$-dimensional subsets of $\mathbf {R}^N$	1998	Brian White
+	Stratification of minimal surfaces, mean curvature flows, and harmonic maps.	1997	Brian White
+ PDF Chat	Classical area minimizing surfaces with real-analytic boundaries	1997	Brian White
+	The Structure of Branch Points in Minimal Surfaces and in Pseudoholomorphic Curves	1995	Mario Micallef Brian White
+ PDF Chat	The topology of hypersurfaces moving by mean curvature	1995	Brian White
+	A strong minimax property of nondegenerate minimal submanifolds.	1994	Brian White
+	The bridge principle for stable minimal surfaces	1994	Brian White
+ PDF Chat	The bridge principle for unstable and for singular minimal surfaces	1994	Brian White
+	None	1994	Brian White
+ PDF Chat	The space of minimal annuli bounded by an extremal pair of planar curves	1993	William H. Meeks Brian White
+	On the topological type of minimal submanifolds	1992	Brian White
+ PDF Chat	Nonunique tangent maps at isolated singularities of harmonic maps	1992	Brian White
+	Nonunique tangent maps at isolated singularities of harmonic maps	1992	Brian White
+	Minimal surfaces bounded by convex curves in parallel planes	1991	William H. Meeks Brian White
+ PDF Chat	Existence of smooth embedded surfaces of prescribed genus that minimize parametric even elliptic functionals on 3-manifolds	1991	Brian White
+ PDF Chat	Minimal surfaces bounded by a pair of convex planar curves	1991	William H. Meeks Brian White
+ PDF Chat	A rigidity theorem for properly embedded minimal surfaces in ${\bf R}\sp 3$	1990	Hyeong In Choi William H. Meeks Brian White
+	A new proof of the compactness theorem for integral currents	1989	Brian White
+	Some recent developments in differential geometry	1989	Brian White
+	The rate of convergence of a harmonic map at a singular point	1989	Robert Gulliver Brian White
+ PDF Chat	New applications of mapping degrees to minimal surface theory	1989	Brian White
+ PDF Chat	Every three-sphere of positive Ricci curvature contains a minimal embedded torus	1989	Brian White
+ PDF Chat	Correction to: "Complete surfaces of finite total curvature"	1988	Brian White
+ PDF Chat	Homotopy classes in Sobolev spaces and the existence of energy minimizing maps	1988	Brian White
+	Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals	1987	Brian White
+	Complete surfaces of finite total curvature	1987	Brian White
+ PDF Chat	Infima of energy functionals in homotopy classes of mappings	1986	Brian White
+	Regularity of the singular sets in immiscible fluid interfaces and solutions to other plateau-type problems	1986	Brian White
+	A regularity theorem for minimizing hypersurfaces modulo 𝑝	1986	Brian White
+ PDF Chat	Homotopy classes in Sobolev spaces and energy minimizing maps	1985	Brian White
+	Generic Regularity of Unoriented Two-Dimensional Area Minimizing Surfaces	1985	Brian White
+	REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY	1984	Brian White
+ PDF Chat	Mappings that minimize area in their homotopy classes	1984	Brian White
+ PDF Chat	The least area bounded by multiples of a curve	1984	Brian White
+	Existence of Least-Area Mappings of N-Dimensional Domains	1983	Brian White
+	Singularity structure and generic regularity of two-dimensional area-minimizing surfaces	1982	Brian White
+	The structure of minimizing hypersurfaces mod 4	1979	Brian White

Common Coauthors

Coauthor	Papers Together
David Hoffman	23
Francisco Martín	10
Tom Ilmanen	8
Or Hershkovits	6
William H. Meeks	4
Martin Traizet	3
Daniel Wienholtz	3
Felix Schulze	3
Tobias Ekholm	3
Robert Haslhofer	2
William P. Minicozzi	2
Tobias Colding	2
Kyeongsu Choi	1
Jordan A. Drachman	1
Francisco Martín	1
Hyeong In Choi	1
Mario Micallef	1
Robert Gulliver	1
Frederick J. Almgren	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Elliptic regularization and partial regularity for motion by mean curvature	1994	Tom Ilmanen	28
+	Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals	1987	Brian White	19
+ PDF Chat	A local regularity theorem for mean curvature flow	2005	Brian White	19
+	The motion of a surface by its mean curvature	1978	Kenneth A. Brakke	18
+	On the First Variation of a Varifold	1972	William K. Allard	17
+	Lectures on Geometric Measure Theory	1984	Leon Simon	16
+ PDF Chat	The topology of hypersurfaces moving by mean curvature	1995	Brian White	14
+ PDF Chat	Boundary Regularity and Embedded Solutions for the Oriented Plateau Problem	1979	Robert Hardt Leon Simon	14
+	The existence of embedded minimal surfaces and the problem of uniqueness	1982	William H. Meeks Shing‐Tung Yau	12
+ PDF Chat	New applications of mapping degrees to minimal surface theory	1989	Brian White	12
+	The classical plateau problem and the topology of three-dimensional manifolds	1982	William H. Meeks Shing‐Tung Yau	12
+	Geometric Measure Theory	1988	Herbert Fédérer	11
+ PDF Chat	Motion of level sets by mean curvature. I	1991	L. C. Evans Joel Spruck	11
+ PDF Chat	Uniqueness, symmetry, and embeddedness of minimal surfaces	1983	Richard Schoen	11
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	11
+	Stratification of minimal surfaces, mean curvature flows, and harmonic maps.	1997	Brian White	10
+ PDF Chat	Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations	1991	Yun Gang Chen Yoshikazu Giga Shun’ichi Goto	10
+	The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature	1980	D. Fischer-Colbrie Richard Schoen	10
+ PDF Chat	Asymptotic behavior for singularities of the mean curvature flow	1990	Gerhard Huisken	9
+	A density function and the structure of singularities of the mean curvature flow	1994	Andrew Stone	9
+	A survey of minimal surfaces	1969	Robert Osserman	8
+	The nature of singularities in mean curvature flow of mean-convex sets	2002	Brian White	8
+	Extreme curves bound embedded minimal surfaces of the type of the disc	1978	Friedrich Tomi Anthony J. Tromba	8
+ PDF Chat	Graphical translators for mean curvature flow	2019	David Hoffman Tom Ilmanen Francisco Martín Brian White	8
+	Boundary behavior of minimal surfaces	1969	Stefan Hildebrandt	8
+	The level-set flow on a manifold	1993	Tom Ilmanen	7
+ PDF Chat	Genus-one helicoids from a variational point of view	2008	David Hoffman Brian White	7
+	A Proof of the Regularity Everywhere of the Classical Solution to Plateau's Problem	1970	Robert Osserman	7
+ PDF Chat	Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations	1988	Stanley Osher James A. Sethian	7
+ PDF Chat	Flow by mean curvature of convex surfaces into spheres	1984	Gerhard Huisken	7
+	The strong halfspace theorem for minimal surfaces	1990	David Hoffman William H. Meeks	7
+	Regularity of Minimizing Surfaces of Prescribed Mean Curvature	1973	Robert Gulliver	7
+ PDF Chat	The size of the singular set in mean curvature flow of mean-convex sets	2000	Brian White	7
+ PDF Chat	The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected	2004	Tobias Colding William P. Minicozzi	7
+	The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature	1985	Hyeong In Choi Richard Schoen	6
+	Regularity of the singular set in the Colding-Minicozzi lamination theorem	2004	William H. Meeks	6
+	Regularity of stable minimal hypersurfaces	1981	Richard Schoen Leon Simon	6
+ PDF Chat	Controlling area blow-up in minimal or bounded mean curvature varieties	2016	Brian White	6
+ PDF Chat	Convexity estimates for mean curvature flow and singularities of mean convex surfaces	1999	Gerhard Huisken Carlo Sinestrari	6
+	A new proof of the compactness theorem for integral currents	1989	Brian White	6
+ PDF Chat	Notes on Translating Solitons for Mean Curvature Flow	2021	David Hoffman Tom Ilmanen Francisco Martín Brian White	6
+ PDF Chat	The heat equation shrinking convex plane curves	1986	Michael E. Gage Richard S. Hamilton	6
+ PDF Chat	The uniqueness of the helicoid	2005	William H. Meeks Harold Rosenberg	6
+ PDF Chat	Scherk-like translators for mean curvature flow	2022	David Hoffman Francisco Martín Brian White	6
+	Embeddedness of Minimal Surfaces with Total Boundary Curvature at Most 4p	2002	Tobias Ekholm Brian White Daniel Wienholtz	6
+	On the Problem of Plateau	2014	Tibor Radó	6
+	On the First Variation of a Varifold: Boundary Behavior	1975	William K. Allard	6
+	Regularity of the singular sets of two-dimensional area-minimizing flat chains modulo 3 inR 3	1973	Jean E. Taylor	6
+ PDF Chat	Stability of translating solutions to mean curvature flow	2007	Julie Clutterbuck Oliver C. Schnürer Felix Schulze	6
+ PDF Chat	Curvature estimates for minimal surfaces in $3$-manifolds	1985	Michael T. Anderson	6