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
(joint with R. Schoen) Curvature, sphere theorem and the Ricci flow, Bulletin of the AMS, 48, 2011, pp. 1–32, Online (页面存档备份,存于互联网档案馆)
(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 (页面存档备份,存于互联网档案馆) (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 and the Lawson conjecture, Acta Mathematica 211, 2013, pp. 177--190, Preprint (页面存档备份,存于互联网档案馆) (Lawson Conjecture)
Embedded self-similar shrinkers of genus 0, Annals of Mathematics 183, 715-728 (2016) Preprint (页面存档备份,存于互联网档案馆)