Simon Brendle
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German mathematician
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Simon Brendlemathematics Degrees
Mathematics
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#775
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Differential Geometry
#15
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#21
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Measure Theory
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#3528
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Mathematics
Simon Brendle's Degrees
- PhD Mathematics Stanford University
- Masters Mathematics University of Bonn
- Bachelors Mathematics University of Bonn
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Why Is Simon Brendle Influential?
(Suggest an Edit or Addition)According to Wikipedia, Simon Brendle is a German-American mathematician working in differential geometry and nonlinear partial differential equations. He received his Dr. rer. nat. from Tübingen University under the supervision of Gerhard Huisken . He was a professor at Stanford University , and is currently a professor at Columbia University. He has held visiting positions at MIT, ETH Zürich, Princeton University, and Cambridge University.
Simon Brendle's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Calculus of Variations (2310)
- Manifolds with 1/4-pinched curvature are space forms (2007) (338)
- Convergence of the Yamabe flow for arbitrary initial energy (2005) (194)
- Blow-up phenomena for the Yamabe equation (2007) (167)
- Constant mean curvature surfaces in warped product manifolds (2011) (163)
- Embedded minimal tori in S3 and the Lawson conjecture (2012) (152)
- Classification of manifolds with weakly 1/4-pinched curvatures (2007) (141)
- Convergence of the Yamabe flow in dimension 6 and higher (2007) (137)
- Ricci Flow and the Sphere Theorem (2010) (135)
- Rotational symmetry of self-similar solutions to the Ricci flow (2012) (133)
- Blow-up phenomena for the Yamabe equation II (2009) (129)
- Asymptotic behavior of flows by powers of the Gaussian curvature (2016) (123)
- A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold (2012) (116)
- Ricci flat Kahler metrics with edge singularities (2011) (103)
- A general convergence result for the Ricci flow in higher dimensions (2007) (101)
- Embedded self-similar shrinkers of genus 0 (2014) (95)
- Portfolio selection under incomplete information (2006) (95)
- Deformations of the hemisphere that increase scalar curvature (2010) (94)
- Global existence and convergence for a higher order flow in conformal geometry (2003) (92)
- Rigidity of area-minimizing two-spheres in three-manifolds (2010) (85)
- An existence theorem for the Yamabe problem on manifolds with boundary (2009) (80)
- Rotational symmetry of Ricci solitons in higher dimensions (2012) (70)
- A generalization of the Yamabe flow for manifolds with boundary (2002) (58)
- Hypersurfaces in Minkowski space with vanishing mean curvature (2002) (56)
- Ancient solutions to the Ricci flow in dimension $3$ (2018) (54)
- A generalization of Hamilton's differential Harnack inequality for the Ricci flow (2007) (52)
- Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions (2018) (48)
- Minimal surfaces in $$S^3$$: a survey of recent results (2013) (46)
- Isoperimetric and Weingarten surfaces in the Schwarzschild manifold (2012) (44)
- A sharp bound for the inscribed radius under mean curvature flow (2013) (44)
- Area‐minimizing projective planes in 3‐manifolds (2010) (44)
- A sharp bound for the area of minimal surfaces in the unit ball (2011) (43)
- The isoperimetric inequality for a minimal submanifold in Euclidean space (2019) (42)
- Curvature flows on surfaces with boundary (2002) (41)
- On the spectral mapping theorem for perturbed strongly continuous semigroups (2000) (40)
- Sobolev Inequalities in Manifolds with Nonnegative Curvature (2020) (39)
- Mean curvature flow with surgery of mean convex surfaces in $$\mathbb {R}^3$$R3 (2013) (39)
- Scalar curvature rigidity of geodesic balls in S^n (2010) (38)
- Uniqueness of convex ancient solutions to mean curvature flow in $${\mathbb {R}}^3$$R3 (2017) (37)
- A family of curvature flows on surfaces with boundary (2002) (37)
- Convergence of the Q-curvature flow on S4 (2006) (37)
- Ancient solutions to the Ricci flow with pinched curvature (2009) (37)
- Large outlying stable constant mean curvature spheres in initial data sets (2013) (36)
- Sphere Theorems in Geometry (2009) (35)
- Ricci flow with surgery on manifolds with positive isotropic curvature (2017) (35)
- On the Asymptotic Behavior of Perturbed Strongly Continuous Semigroups (2001) (34)
- Rigidity phenomena involving scalar curvature (2010) (32)
- Curvature, sphere theorems, and the Ricci flow (2010) (32)
- Recent progress on the Yamabe problem (2010) (32)
- A variational characterization for $\sigma_{n/2}$ (2004) (30)
- Uniqueness of gradient Ricci solitons (2010) (28)
- Einstein manifolds with nonnegative isotropic curvature are locally symmetric (2008) (27)
- A boundary value problem for minimal Lagrangian graphs (2008) (27)
- Uniqueness of compact ancient solutions to three-dimensional Ricci flow (2020) (26)
- Prescribing a higher order conformal invariant on S^n (2003) (26)
- On the construction of solutions to the Yang-Mills equations in higher dimensions (2003) (25)
- A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime (2013) (24)
- A MINKOWSKI-TYPE INEQUALITY FOR HYPERSURFACES IN THE ANTI-DESITTER-SCHWARZSCHILD MANIFOLD (2012) (22)
- A fully nonlinear flow for two-convex hypersurfaces in Riemannian manifolds (2015) (22)
- Two-point functions and their applications in geometry (2014) (22)
- A Volume Comparison Theorem for Asymptotically Hyperbolic Manifolds (2013) (21)
- Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow (2019) (20)
- Area-minimizing projective planes in three-manifolds (2009) (18)
- On the conformal scalar curvature equation and related problems (2008) (18)
- Ricci flow with surgery in higher dimensions (2016) (17)
- Gluing Eguchi‐Hanson Metrics and a Question of Page (2014) (17)
- Mean curvature flow with surgery of mean convex surfaces in three-manifolds (2018) (16)
- Complex anti-self-dual instantons and Cayley submanifolds (2003) (16)
- A Short Proof for the Convergence of the Yamabe Flow on Sn (2007) (16)
- Alexandrov immersed minimal tori in $S^3$ (2012) (16)
- Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions (2020) (14)
- PFDE with nonautonomous past (2002) (14)
- Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane (2008) (13)
- Hypersurfaces of constant mean curvature in deSitter-Schwarzschild space (2011) (12)
- Area Bounds for Minimal Surfaces that Pass Through a Prescribed Point in a Ball (2016) (12)
- An inscribed radius estimate for mean curvature flow in Riemannian manifolds (2013) (11)
- Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow (2021) (11)
- Evolution equations in Riemannian geometry (2011) (10)
- Rotational symmetry of ancient solutions to the Ricci flow in dimension $3$ -- The compact case (2019) (9)
- The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space (2019) (7)
- Embedded Weingarten tori in S3 (2013) (6)
- Portfolio Selection Under Partial Observation and Constant Absolute Risk Aversion (2004) (6)
- Mean curvature flow with surgery of mean convex surfaces in $\mathbb{R}^3$ (2013) (6)
- HEDGING IN PARTIALLY OBSERVABLE MARKETS (2004) (5)
- Einstein metrics and preserved curvature conditions for the Ricci flow (2010) (5)
- Rotational symmetry of ancient solutions to mean curvature flow in $\mathbb{R}^3$ (2017) (5)
- A generalization of Geroch's conjecture (2022) (4)
- A note on Ricci flow and optimal transportation (2009) (3)
- A local noncollapsing estimate for mean curvature flow (2021) (3)
- A sharp inscribed radius estimate for fully nonlinear flows (2016) (3)
- On the Lagrangian minimal surface equation and related problems (2011) (3)
- On solutions to the Ginzburg-Landau equations in higher dimensions (2003) (3)
- Ricci flow on (2010) (2)
- Portfolio Selection Under Partial Observation and Constant Relative Risk Aversion (2004) (2)
- Ricci flow on manifolds with positive isotropic curvature (2017) (2)
- A survey of sphere theorems in geometry (2010) (2)
- On the Structure of the Critical Spectrum of Strongly Continuous Semigroups (2019) (2)
- A monotonicity formula for mean curvature flow with surgery (2013) (2)
- Proof of the Michael-Simon-Sobolev inequality using optimal transport (2022) (2)
- On a Problem of Optimal Stochastic Control with Incomplete Information (2008) (2)
- Rotational symmetry of self-similar solutions to the Ricci flow (2013) (2)
- Elliptic and parabolic problems in conformal geometry (2006) (2)
- A comparison principle for solutions to the Ricci flow (2015) (2)
- The Michael-Simon inequality for manifolds with nonnegative curvature (2020) (1)
- Rigidity of convex polytopes under the dominant energy condition (2023) (1)
- A Prekopa-Leindler-type inequality for Ricci flow (2009) (1)
- On the Maximum Curvature of Closed Curves in Negatively Curved Manifolds (2015) (1)
- A fully nonlinear flow for two-convex hypersurfaces in Riemannian manifolds (2017) (1)
- The isoperimetric inequality for a minimal hypersurface in Euclidean space (2019) (1)
- WEINGARTEN SURFACES IN THE SCHWARZSCHILD MANIFOLD (2013) (1)
- Scalar curvature rigidity of convex polytopes (2023) (1)
- Uniqueness of embedded minimal tori in S^3 (2012) (1)
- Singularity models in the three-dimensional Ricci flow (2022) (1)
- Ancient solutions to the Ricci flow in dimension $4$ and a question of Page (2014) (0)
- A note on Weingarten surfaces in S^3 (2013) (0)
- Texas Geometry and Topology Conference Uniqueness Results for Constant Mean Curvature Surfaces (2012) (0)
- ahler Metrics with Edge Singularities (2013) (0)
- Constant mean curvature surfaces in warped product manifolds (2012) (0)
- A Volume Comparison Theorem for Asymptotically Hyperbolic Manifolds (2014) (0)
- A boundary value problem for the Lagrangian minimal surface equation in arbitrary dimension (2008) (0)
- Results from complex linear algebra (2010) (0)
- A generalization of Hamilton's Harnack inequality for the Ricci flow (2007) (0)
- Pointwise curvature estimates (2010) (0)
- Preserved curvature conditions in higher dimensions (2010) (0)
- A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime (2014) (0)
- A New Convergence Result for the Ricci Flow in Higher Dimensions (0)
- Uniqueness results for minimal surfaces and constant mean curvature surfaces in Riemannian manifolds (2014) (0)
- Preface to the tenth Takagi Lectures (2012) (0)
- Area estimates and rigidity of capillary H−surfaces in three-manifolds with boundary (2015) (0)
- Convergence of evolving metrics (2010) (0)
- A sharp bound for the area of minimal surfaces in the unit ball (2012) (0)
- Minimal hypersurfaces and geometric inequalities (2020) (0)
- A sharp bound for the inscribed radius under mean curvature flow (2015) (0)
- Convergence results in higher dimensions (2010) (0)
- Ramification theory for varieties over a local field . A variational approach to complex monge-ampère equations . Constant mean curvature surfaces in warped product manifolds . Shifted symplectic structures . Geometric phantom categories (2013) (0)
- Curvature pinching in dimension 3 (2010) (0)
- A sharp logarithmic Sobolev inequality for submanifolds in Euclidean space (2019) (0)
- Area Bounds for Minimal Surfaces that Pass Through a Prescribed Point in a Ball (2017) (0)
- Large outlying stable constant mean curvature spheres in initial data sets (2014) (0)
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