2006 - Fellow of Alfred P. Sloan Foundation
In his papers, Simon Brendle integrates diverse fields, such as Curvature and Ricci-flat manifold. Ricci-flat manifold and Scalar curvature are two areas of study in which he engages in interdisciplinary work. Simon Brendle performs integrative study on Scalar curvature and Riemannian manifold. Borrowing concepts from Curvature, he weaves in ideas under Riemannian manifold. His study ties his expertise on Dimension (graph theory) together with the subject of Pure mathematics. Many of his studies involve connections with topics such as Pure mathematics and Dimension (graph theory). His Mathematical analysis study frequently links to related topics such as Boundary (topology). Boundary (topology) and Mathematical analysis are commonly linked in his work. Many of his studies on Geometry involve topics that are commonly interrelated, such as Scaling.
Simon Brendle regularly ties together related areas like Surface (topology) in his Geometry studies. His Pure mathematics study frequently links to adjacent areas such as Conjecture. His Conjecture study frequently involves adjacent topics like Combinatorics. His Combinatorics study frequently links to related topics such as Dimension (graph theory). His research is interdisciplinary, bridging the disciplines of Pure mathematics and Dimension (graph theory). He applies his multidisciplinary studies on Curvature and Geodesic in his research. In his works, Simon Brendle performs multidisciplinary study on Geodesic and Curvature. Many of his studies on Mathematical analysis involve topics that are commonly interrelated, such as Boundary (topology). His research brings together the fields of Mathematical analysis and Boundary (topology).
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Manifolds with 1/4-pinched curvature are space forms
Simon Brendle;Richard M. Schoen.
Journal of the American Mathematical Society (2008)
Blow-up phenomena for the Yamabe equation
Simon Brendle.
Journal of the American Mathematical Society (2007)
Constant mean curvature surfaces in warped product manifolds
Simon Brendle.
Publications Mathématiques de l'IHÉS (2013)
Blow-up phenomena for the Yamabe equation II
Simon Brendle;Fernando C. Marques.
Journal of Differential Geometry (2009)
Convergence of the Yamabe flow for arbitrary initial energy
Simon Brendle.
Journal of Differential Geometry (2005)
Embedded minimal tori in S3 and the Lawson conjecture
Simon Brendle.
Acta Mathematica (2013)
Rotational symmetry of self-similar solutions to the Ricci flow
Simon Brendle.
Inventiones Mathematicae (2013)
Convergence of the Yamabe flow in dimension 6 and higher
Simon Brendle.
Inventiones Mathematicae (2007)
Classification of manifolds with weakly 1/4-pinched curvatures
Simon Brendle;Richard M. Schoen.
Acta Mathematica (2008)
Asymptotic behavior of flows by powers of the Gaussian curvature
Simon Brendle;Kyeongsu Choi;Panagiota Daskalopoulos.
Acta Mathematica (2017)
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