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- Brian White

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
3,654
108
World Ranking
2619
National Ranking
1094

2013 - Fellow of the American Mathematical Society

1999 - Fellow of John Simon Guggenheim Memorial Foundation

- Mathematical analysis
- Geometry
- Topology

His primary scientific interests are in Mathematical analysis, Mean curvature, Geometry, Curvature and Mean curvature flow. His Mathematical analysis study combines topics in areas such as Tangential developable, Homotopy and Combinatorics. The Combinatorics study combines topics in areas such as Willmore energy, Riemannian manifold, Subsequential limit, Weak topology and Scalar curvature.

Brian White has researched Mean curvature in several fields, including Hypersurface and Boundary. His study in the field of Constant-mean-curvature surface and Minimal surface is also linked to topics like Gaussian and Spacetime. His biological study spans a wide range of topics, including Stratification and Harmonic map.

- A local regularity theorem for mean curvature flow (202 citations)
- The structure of branch points in minimal surfaces and in pseudoholomorphic curves (168 citations)
- THE NATURE OF SINGULARITIES IN MEAN CURVATURE FLOW OF MEAN-CONVEX SETS (141 citations)

His main research concerns Mathematical analysis, Mean curvature flow, Pure mathematics, Minimal surface and Mean curvature. Brian White applies his multidisciplinary studies on Mathematical analysis and Energy in his research. His Mean curvature flow study is focused on Geometry in general.

His Pure mathematics study integrates concerns from other disciplines, such as Discrete mathematics and Space. His Minimal surface study incorporates themes from Helicoid, Limit and Genus, Combinatorics. The study incorporates disciplines such as Riemannian manifold, Boundary, Compact space and Scalar curvature in addition to Mean curvature.

- Mathematical analysis (45.13%)
- Mean curvature flow (28.32%)
- Pure mathematics (24.78%)

- Mean curvature flow (28.32%)
- Mathematical analysis (45.13%)
- Pure mathematics (24.78%)

Brian White mainly focuses on Mean curvature flow, Mathematical analysis, Pure mathematics, Surface and Minimal surface. His Mean curvature flow study necessitates a more in-depth grasp of Geometry. His research integrates issues of Boundary, Type and Curvature in his study of Mathematical analysis.

His Pure mathematics research incorporates themes from Conformal map and Metric. His study on Surface also encompasses disciplines like

- Flow which connect with Mean curvature,
- Hypersurface that intertwine with fields like Singular point of a curve. His work carried out in the field of Minimal surface brings together such families of science as Bounded function, Subsequential limit, Limit and Genus.

- On the bumpy metrics theorem for minimal submanifolds (42 citations)
- Subsequent singularities in mean-convex mean curvature flow (21 citations)
- Ancient asymptotically cylindrical flows and applications (18 citations)

- Mathematical analysis
- Geometry
- Topology

Brian White spends much of his time researching Mean curvature flow, Gravitational singularity, Geometry, Pure mathematics and Minimal surface. His work deals with themes such as Discrete mathematics and Surface, which intersect with Mean curvature flow. The subject of his Gravitational singularity research is within the realm of Mathematical analysis.

His work on Flow is typically connected to Order, Cluster and Unit Density as part of general Geometry study, connecting several disciplines of science. His studies deal with areas such as Mean curvature, Sequence, Bounded function and Metric as well as Pure mathematics. His biological study deals with issues like Parameter space, which deal with fields such as Boundary.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A local regularity theorem for mean curvature flow

Brian White.

Annals of Mathematics **(2005)**

240 Citations

A local regularity theorem for mean curvature flow

Brian White.

Annals of Mathematics **(2005)**

240 Citations

The size of the singular set in mean curvature flow of mean-convex sets

Brian White.

Journal of the American Mathematical Society **(2000)**

234 Citations

The size of the singular set in mean curvature flow of mean-convex sets

Brian White.

Journal of the American Mathematical Society **(2000)**

234 Citations

THE NATURE OF SINGULARITIES IN MEAN CURVATURE FLOW OF MEAN-CONVEX SETS

Brian White.

Journal of the American Mathematical Society **(2002)**

230 Citations

THE NATURE OF SINGULARITIES IN MEAN CURVATURE FLOW OF MEAN-CONVEX SETS

Brian White.

Journal of the American Mathematical Society **(2002)**

230 Citations

The structure of branch points in minimal surfaces and in pseudoholomorphic curves

Mario J. Micallef;Brian White.

Annals of Mathematics **(1995)**

196 Citations

The structure of branch points in minimal surfaces and in pseudoholomorphic curves

Mario J. Micallef;Brian White.

Annals of Mathematics **(1995)**

196 Citations

Homotopy classes in Sobolev spaces and the existence of energy minimizing maps

Brian White.

Acta Mathematica **(1988)**

150 Citations

Homotopy classes in Sobolev spaces and the existence of energy minimizing maps

Brian White.

Acta Mathematica **(1988)**

150 Citations

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