World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
6299
World Ranking
1720
National Ranking
740

Research.com Recognitions

  • 2006 - Fellow of Alfred P. Sloan Foundation

Overview

Simon Brendle is affiliated with Columbia University in the United States. Their research spans fields primarily within Mathematics, focusing on areas such as Applied Mathematics, Geometry and Topology, and Mathematical Physics. Their work encompasses significant contributions to Geometric Analysis and Curvature Flows, Geometry and Complex Manifolds, Nonlinear Partial Differential Equations, and related mathematical domains.

The scientist's publication record includes numerous papers appearing in respected venues. Frequent publication outlets include arXiv (Cornell University), Journal für die reine und angewandte Mathematik (Crelles Journal), Communications on Pure and Applied Mathematics, Geometry & Topology, and Inventiones Mathematicae.

Their most cited recent works include:

  • The isoperimetric inequality for a minimal submanifold in Euclidean space (2020, Journal of the American Mathematical Society)
  • Sobolev Inequalities in Manifolds with Nonnegative Curvature (2022, Communications on Pure and Applied Mathematics)
  • Ancient solutions to the Ricci flow in dimension 3 (2020, Acta Mathematica)
  • Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions (2021, Geometry & Topology)
  • Unique Asymptotics of Compact Ancient Solutions to Three-Dimensional Ricci Flow (2020, Communications on Pure and Applied Mathematics)

Collaboration has been a feature of their research, with frequent co-authors including Keaton Naff, Panagiota Daskalopoulos, Nataša Šešum, Bernhard Hanke, and Yipeng Wang.

Their research topics also cover Point processes and geometric inequalities, Numerical methods in inverse problems, Mathematical Dynamics and Fractals, and Advanced Mathematical Modeling in Engineering, indicating a strong interdisciplinary approach within mathematical sciences.

Simon Brendle received the designation of Fellow of the Alfred P. Sloan Foundation in 2006.

Best Publications

  • Manifolds with 1/4-pinched curvature are space forms

    Simon Brendle;Richard M. Schoen

  • Blow-up phenomena for the Yamabe equation

    Simon Brendle

  • Constant mean curvature surfaces in warped product manifolds

    Simon Brendle

  • Convergence of the Yamabe flow for arbitrary initial energy

    Simon Brendle

  • Rotational symmetry of self-similar solutions to the Ricci flow

    Simon Brendle

  • Blow-up phenomena for the Yamabe equation II

    Simon Brendle;Fernando C. Marques

  • Embedded minimal tori in S3 and the Lawson conjecture

    Simon Brendle

  • Convergence of the Yamabe flow in dimension 6 and higher

    Simon Brendle

  • Asymptotic behavior of flows by powers of the Gaussian curvature

    Simon Brendle;Kyeongsu Choi;Panagiota Daskalopoulos

  • Classification of manifolds with weakly 1/4-pinched curvatures

    Simon Brendle;Richard M. Schoen

  • A Minkowski Inequality for Hypersurfaces in the Anti-de Sitter-Schwarzschild Manifold

    Simon Brendle;Pei Ken Hung;Mu Tao Wang

  • Embedded self-similar shrinkers of genus $0$

    Simon Brendle

  • Ricci Flow and the Sphere Theorem

    Simon Brendle

  • Portfolio selection under incomplete information

    Simon Brendle

  • Global existence and convergence for a higher order flow in conformal geometry

    Simon Brendle

  • Deformations of the hemisphere that increase scalar curvature

    Simon Brendle;Fernando C. Marques;Andre Neves

  • An existence theorem for the Yamabe problem on manifolds with boundary

    Simon Brendle;Szu-Yu Sophie Chen

  • Rigidity of area-minimizing two-spheres in three-manifolds

    Hubert Bray;Simon Brendle;Andre Neves

  • Einstein manifolds with nonnegative isotropic curvature are locally symmetric

    Simon Brendle

  • Rotational symmetry of Ricci solitons in higher dimensions

    Simon Brendle

  • A general convergence result for the Ricci flow in higher dimensions

    Simon Brendle

  • Ricci Flat Kähler Metrics with Edge Singularities

    Simon Brendle

Frequent Co-Authors

Richard Schoen
Richard Schoen University of California, Irvine
Sigurd B. Angenent
Sigurd B. Angenent University of Wisconsin–Madison

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