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Mathematics

D-Index
34
Citations
4224
World Ranking
2938
National Ranking
1186

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Brian White is affiliated with Stanford University in the United States. Their research focuses primarily on the field of Mathematics, with notable activity in related subfields such as Applied Mathematics, Geometry and Topology, Mathematical Physics, Astronomy and Astrophysics, and Computational Theory and Mathematics.

The main topics covered in Brian White's work include:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Nonlinear Partial Differential Equations
  • Mathematical Dynamics and Fractals
  • Advanced Differential Geometry Research
  • Analytic and geometric function theory
  • Topological and Geometric Data Analysis

The following recent papers authored by or associated with Brian White illustrate their research interests and publication record:

  • Ancient asymptotically cylindrical flows and applications (2022), published in Inventiones mathematicae
  • Scherk-like translators for mean curvature flow (2022), published in Journal of Differential Geometry
  • Avoidance for set-theoretic solutions of mean-curvature-type flows (2023), published in Communications in Analysis and Geometry
  • Nguyen's tridents and the classification of semigraphical translators for mean curvature flow (2022), published in Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Moving plane method for varifolds and applications (2023), published in American Journal of Mathematics

Brian White has frequently published in several venues, with multiple papers appearing in the Journal of Differential Geometry and Communications in Analysis and Geometry, along with contributions to arXiv (Cornell University), Inventiones mathematicae, and the American Journal of Mathematics.

Frequent collaborators in Brian White's research include:

  • David Hoffman
  • Francisco Martín
  • Or Hershkovits
  • Robert Haslhofer
  • Tom Ilmanen

Throughout their career, Brian White has been recognized with distinctions such as Fellow of the American Mathematical Society in 2013 and Fellow of the John Simon Guggenheim Memorial Foundation in 1999.

Best Publications

  • A local regularity theorem for mean curvature flow

    Brian White

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

    Brian White

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

    Brian White

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

    Mario J. Micallef;Brian White

  • Stratification of minimal surfaces, mean curvature flows, and harmonic maps.

    Brian White

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

    Brian White

  • Infima of energy functionals in homotopy classes of mappings

    Brian White

  • Rectifiability of flat chains

    Brian White

  • Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals

    B. White

  • Complete surfaces of finite total curvature

    Brian White

  • The maximum principle for minimal varieties of arbitrary codimension

    Brian White

  • Evolution of curves and surfaces by mean curvature

    Brian White

  • Embeddedness of minimal surfaces with total boundary curvature at most 4 pi

    Tobias Ekholm;Brian White;Daniel Wienholtz

  • The Round Sphere Minimizes Entropy among Closed Self-Shrinkers

    Tobias Holck Colding;Tom Ilmanen;William P. Minicozzi;Brian White

  • On the bumpy metrics theorem for minimal submanifolds

    Brian White

  • The deformation theorem for flat chains

    Brian White

  • Tangent cones to two-dimensional area-minimizing integral currents are unique

    Brian White

  • Graphical translators for mean curvature flow

    David Hoffman;Tom Ilmanen;Francisco Martín;Brian White

  • The topology of hypersurfaces moving by mean curvature

    Brian White

  • A strong minimax property of nondegenerate minimal submanifolds.

    Brian White

  • Minimal surfaces bounded by convex curves in parallel planes.

    William H. Meeks;William H. Meeks;Brian White;Brian White

Frequent Co-Authors

William H. Meeks
William H. Meeks University of Massachusetts Amherst
Charles Yanofsky
Charles Yanofsky Stanford University
James A. Spudich
James A. Spudich Stanford University
Steven M. Block
Steven M. Block Stanford University

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