# 西蒙·布伦德勒

Simon Brendle

Bôcher Prize (2014)

## 主要出版物

• Blow-up phenomena for the Yamabe equation, Journal of the AMS 21, pp. 951–979, 2008 doi:10.1090/S0894-0347-07-00575-9
• Convergence of the Yamabe flow in dimension 6 and higher, Inventiones Mathematicae 170, pp. 541–576, 2007 doi:10.1007/s00222-007-0074-x
• (joint with R. Schoen) Manifolds with 1/4 pinched curvature are space forms, Journal of the AMS, 22, 2009, pp. 287 (Differentiable Sphere Theorem) doi:10.1090/S0894-0347-08-00613-9
• Ricci Flow and the Sphere Theorem, American Mathematical Society, Graduate Studies in Mathematics, vol. 111, 2010
• (joint with R. Schoen) Curvature, sphere theorem and the Ricci flow, Bulletin of the AMS, 48, 2011, pp. 1–32, Online
• (joint with R. Schoen) Riemannian manifolds of positive curvature, Proceedings of the International Congress of Mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I, pp. 449–475, 2011
• (joint with F. C. Marques, A. Neves) Deformations of the hemisphere that increase scalar curvature, Inventiones Mathematicae 185, 2011, pp. 175–197, Preprint (Min-Oo Conjecture)
• Rotational symmetry of self-similar solutions to the Ricci flow Inventiones Mathematicae 194, 2013, pp. 731–764 doi:10.1007/s00222-013-0457-0
• Embedded minimal tori in ${\displaystyle S^{3}}$ and the Lawson conjecture, Acta Mathematica 211, 2013, pp. 177--190, Preprint (Lawson Conjecture)
• Embedded self-similar shrinkers of genus 0, Annals of Mathematics 183, 715-728 (2016) Preprint