conformal infinity Robert Bryant, Riemannian Submersions as PDE Greg Galloway, Stability of marginally trapped surfaces with applications to black holes Marcus Khuri, The Yamabe Problem Revisited John Lott, Optimal transport in Riemannian geometry and Ricci flow William Minicozzi, The rate of change of width under flows Duong Phong, Stability and constant scalar curvature Jeff Viaclovsky, Orthogonal Complex Structures2009 at Stony Brook Jeff Cheeger, Quantitative Behavior of Maps from the Heisenberg Group to L1 Marcos Dajczer, Conformal Killing graphs with prescribed mean curvature Karsten Grove, Positive curvature: the quest for examples Wolfgang Meyer, The Contributions of Detlef Gromoll to Riemannian Geometry Gabriel Paternain, Transparent Connections over Negatively Curved Surfaces Christina Sormani, The Intrinsic Flat Distance between Riemannian Manifolds Guofang Wei, Smooth Metric Measure Spaces2010 at Courant Tim Austin (UCLA): Rational group ring elements with kernels having irrational von Neumann dimension Xiuxiong Chen (UW Madison): The space of Kaehler metrics Tobias Colding (MIT): Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications Marianna Csörnyei (University College London and Yale): Tangents of null sets Larry Guth (U Toronto): Contraction of surface areas vs. topology of mappings Jeremy Kahn (Stony Brook): Essential immersed surfaces in closed hyperbolic three-manifolds Gang Tian (Princeton): Kähler–Ricci flow through finite-time singularities 2011 at Penn Hubert Bray (Duke): On dark matter, spiral galaxies, and the axioms of general relativity Tobias Colding (MIT): Generic mean curvature flow Claude LeBrun (Stony Brook): On Hermitian Einstein 4-manifolds Natasa Sesum (Rutgers): Yamabe Solitons Pete Storm (Jane Street Capital): Infinitesimal rigidity of hyperbolic manifolds with totally geodesic boundary Brian Weber (Courant): Regularity and convergence of extremal Kaehler metrics Shing-Tung Yau (Harvard): An appreciation of Eugenio Calabi and his work Shing-Tung Yau (Harvard): Quasi-local mass in general relativity 2012 at Duke John Etnyre (Georgia Institute of Technology): Surgery and tight contact structures Valentino Tosatti (Columbia University): The evolution of a Hermitian metric by its Chern-Ricci curvature Carla Cederbaum (Duke University): From Newton to Einstein: A guided tour through space and time Jan Metzger (Institute for Mathematics, University of Potsdam ): On isoperimetric surfaces in asymptotically flat manifolds Fernando Codá Marques (IMPA, Brazil): Min-max theory and the Willmore conjecture Yanir Rubinstein (Stanford University): Einstein metrics on Kähler manifolds Simon Brendle (Stanford University): Rotational symmetry of self-similar solutions to the Ricci flow Mu-Tao Wang (Columbia University): A variational problem for isometric embeddings and its applications in general relativity Gordana Matic (University