World's Best Scientists 2026 revealed!

Overview

Leon Simon is a researcher affiliated with Stanford University in the United States, specializing primarily in the field of Mathematics. Their scholarly work covers various subfields including Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics, Computer Graphics and Computer-Aided Design, and Numerical Analysis.

Their research topics span multiple areas, with a focus on Geometric Analysis and Curvature Flows, Geometry and complex manifolds, Advanced Mathematical Modeling in Engineering, Holomorphic and Operator Theory, Nonlinear Partial Differential Equations, Computational Geometry and Mesh Generation, and Differential Equations and Numerical Methods.

Leon Simon has contributed papers to several academic venues. These include:

  • arXiv (Cornell University)
  • Annals of Mathematics
  • Indiana University Mathematics Journal

Notable publications by Leon Simon include:

  • Stable minimal hypersurfaces in ℝN+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ, 2023, Annals of Mathematics
  • A Liouville-type theorem for stable minimal hypersurfaces, 2021, arXiv (Cornell University)
  • Stable minimal hypersurfaces in N+1+ℓ with singular set an arbitrary closed K in {0}×ℝ, 2021, arXiv (Cornell University)

Their frequent coauthors include K. Fouladgar and Kaveh Fouladgar.

Best Publications

  • Lectures on Geometric Measure Theory

    Leon Simon

  • Asymptotics for a class of non-linear evolution equations, with applications to geometric problems

    Leon Simon

  • Curvature estimates for minimal hypersurfaces

    R. Schoen;L. Simon;S. T. Yau

  • Regularity of stable minimal hypersurfaces

    Richard Schoen;Leon Simon

  • Theorems on Regularity and Singularity of Energy Minimizing Maps

    Leon Simon

  • Spacelike hypersurfaces with prescribed boundary values and mean curvature

    Robert Bartnik;Leon Simon

  • Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

    William Meeks;Leon Simon;Shing-Tung Yau

  • Nodal sets for solutions of elliptic equations

    Robert Hardt;Leon Simon

  • Boundary Regularity and Embedded Solutions for the Oriented Plateau Problem

    Robert Hardt;Leon Simon

  • Schauder estimates by scaling

    Leon Simon

  • Area minimizing hypersurfaces with isolated singularities.

    Leon Simon;Robert Hardt

  • A strict maximum principle for area minimizing hypersurfaces

    Leon Simon

  • Minimal surfaces with isolated singularities

    Luis A Caffarelli;Robert Hardt;Leon Simon

  • Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals

    R. Schoen;L. Simon;F. J. Almgren

  • Cylindrical tangent cones and the singular set of minimal submanifolds

    Leon Simon

  • Existence and regularity of a capillary surface with prescribed contact angle

    Leon Simon;Joel Spruck

  • Entire solutions of the minimal surface equation

    Leon Simon

  • A Hölder estimate for quasiconformal maps between surfaces in Euclidean space

    Leon Simon

  • Handbook of Geometric Analysis

    Lizhen Ji;P. Li;Richard M. Schoen;L. Simon

  • Regularity Theory for Harmonic Maps

    Leon Simon

Frequent Co-Authors

Robert Hardt
Robert Hardt Rice University
Richard Schoen
Richard Schoen University of California, Irvine
Neil S. Trudinger
Neil S. Trudinger Australian National University
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Joel Spruck
Joel Spruck Johns Hopkins University
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
William H. Meeks
William H. Meeks University of Massachusetts Amherst

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