Geometry Festival

The Geometry Festival is an annual mathematics conference held in the United States.

Previous Geometry Festival speakers

1985 at Penn

1986 at Maryland
  • Uwe Abresch, Explicit constant mean curvature tori
  • Zhi-yong Gao, The existence of negatively Ricci curved metrics
  • David Hoffman, New results in the global theory of minimal surfaces
  • Jack Lee, Conformal geometry and the Yamabe problem
  • Ngaiming Mok, Compact Kähler manifolds of non-negative curvature
  • John Morgan, Self dual connections and the topology of 4-manifolds
  • Chuu-Lian Terng, Submanifolds with flat normal bundle

1987 at Penn

1988 at North Carolina
  • Detlef Gromoll, On complete spaces of non-negative Ricci curvature
  • Nicolas Kapouleas, Constant mean curvature surfaces in E3
  • Robert Osserman, Gauss map of complete minimal surfaces
  • Pierre Pansu, Lp-cohomology of negatively curved manifolds
  • Peter Petersen, Bounding homotopy types by geometry
  • Gang Tian, Kähler-Einstein metrics on quasiprojective manifolds
  • DaGang Yang, Some new examples of manifolds of positive Ricci curvature
  • Wolfgang Ziller, Recent results on Einstein metrics

1989 at Stony Brook

1990 at Maryland
  • Michael T. Anderson, Behavior of metrics under Ricci curvature bounds
  • Kevin Corlette, Harmonic maps and geometric superrigidity
  • Kenji Fukaya, Fundamental groups of almost non-negatively curved manifolds
  • Mikhail Gromov, Recent progress in symplectic geometry
  • Werner Müller, On spectral theory for locally symmetric manifolds with finite volume
  • Rick Schoen, Least area problems for Lagrangian submanifolds
  • Gudlaugur Thorbergsson, Isoparametric submanifolds and their Tits buildings
  • Shing-Tung Yau, Some theorems in Kähler geometry

1991 at Duke
  • Jeff Cheeger, Transgressed Euler classes of SL(2n,Z)-bundles and adiabatic limits of eta-invariants
  • Chris Croke, Volumes of balls in manifolds without conjugate points and rigidity of geodesic flows
  • Carolyn Gordon, When you can't hear the shape of a manifold
  • Wu-Yi Hsiang, Sphere packing and spherical geometry: The Kepler conjecture and beyond
  • Alan Nadel, On the geometry of Fano varieties
  • Grigori Perelman, Alexandrov's spaces with curvature bounded from below
  • Stephan Stolz, On the space of positive curvature metrics modulo diffeomorphisms

1992 at Courant
  • Jonathan Block, Aperiodic tilings, positive scalar curvature and other homological phenomena
  • John Franks, Infinitely many closed geodesics on the 2-sphere
  • Karsten Grove, The inevitable presence of singular spaces in Riemannian geometry
  • Lisa Jeffrey, Volumes of moduli spaces of flat connections on Riemannian surfaces
  • Jun Li, Anti-self-dual connections on SU(2) bundles over algebraic surfaces
  • Dusa McDuff, Symplectic 4-manifolds
  • Clifford Taubes, Anti-self dual conformal structures in 4 dimensions

1993 at Penn

1995 at Stony Brook

1996 at Maryland

1997 at Duke
  • Jeanne Nielsen Clelland, Geometry of Conservation Laws for Parabolic PDE's
  • Anatole Katok, Rigidity and invariant geometric structures for differentiable group actions
  • François Labourie, Monge-Ampere problems, holomorphic curves and laminations
  • Gang Liu, Floer Homology and the Arnold Conjecture
  • William Minicozzi II, Harmonic functions on manifolds
  • Lorenz Schwachhöfer, The classification of irreducible holonomies of torsion free connections
  • Matthias Schwarz, Symplectic fixed points and quantum cohomology
  • Stephen Semmes, Geometry with little smoothness

1998 at Stony Brook
  • Scott Axelrod, Generalized Chern-Simons invariants as a generalized Lagrangian field theory
  • Jean-Michel Bismut, Chern-Simons classes, Bott Chern classes and analytic torsion
  • Spencer Bloch, Algebro-geometric Chern-Simons classes
  • Robert Bryant, Recent progress on the holonomy classification problem
  • Robert Bryant (for S.-S. Chern), Recent results and open problems in Finsler geometry
  • Jeff Cheeger and Blaine Lawson, The mathematical work of James Simons
  • Jeff Cheeger, Ricci Curvature
  • Jürg Fröhlich, Physics and the Chern-Simons form (from anomalies to the quantum Hall effect to magnetic stars)
  • Mikhail Gromov, Dynamics on function spaces
  • Maxim Kontsevich, On regulators, critical values and q-factorials
  • Blaine Lawson, Connections and singularities of maps
  • Robert MacPherson, Spaces with torus actions
  • John Milnor, Remarks on geometry and dynamics
  • I.M. Singer, TBA
  • Dennis Sullivan A combinatorial model for non-linearity
  • Clifford Taubes, Seiberg-Witten invariants, harmonic forms, and their pseudo-holomorphic curves
  • Gang Tian, Yang-Mills connections and calibration
  • C.-N. Yang, Vector potentials and connections
  • Shing-Tung Yau, Mirror symmetry and rational curves

1999 at Penn
  • Peter Sarnak, Some spectral problems on negatively curved manifolds
  • Zheng-xu He, The gradient flow for the Möbius energy of knots
  • Curtis McMullen, The moduli space of Riemann surfaces is Kähler-hyperbolic
  • Paul Biran, Lagrange skeletons and symplectic rigidity
  • Helmut Hofer, Holomorphic curves and contact geometry
  • Werner Ballmann, On negative curvature and the essential spectrum of geometric operators
  • Shlomo Sternberg, Multiplets of representations and Kostant's Dirac operator

2000 at Maryland
  • Samuel Ferguson, The Kepler Conjecture
  • Robert Meyerhoff, Rigorous computer-aided proofs in the theory of hyperbolic 3-manifolds
  • Herman Gluck, Geometry, topology and plasma physics
  • Burkhard Wilking, New examples of manifolds with positive sectional curvature almost everywhere
  • John Roe, Amenability and assembly maps
  • Eleny Ionel, Gromov invariants of symplectic sums
  • Mikhail Gromov, Spaces of holomorphic maps

2001 at Northeastern

2002 at Courant
  • Denis Auroux, Singular plane curves and topological invariants of symplectic manifolds
  • Hugh Bray, On the mass of higher dimensional black holes
  • Alice Chang, Conformally invariant operators and the Gauss-Bonnet integrand
  • Xiuxiong Chen, The space of Kähler metrics
  • George Daskalopoulos, On the Yang-Mills flow in higher dimensions
  • Alex Eskin, Billiards and lattices
  • Juha Heinonen, On the existence of quasiregular mappings

2003 at Duke
  • Bennett Chow, Harnack estimates of Li-Yau-Hamilton type for the Ricci flow
  • Anda Degeratu, Geometrical McKay Correspondence
  • Ron Donagi, Griffiths' intermediate Jacobians, integrable systems, and string theory
  • John Etnyre, Legendrian knots in high dimensions
  • Joe Harris, Are Cubics Rational?
  • Claude LeBrun, Zoll Manifolds, Complex Surfaces, and Holomorphic Disks
  • John Morgan, Variations of Hodge structure for 1-parameter families of Calabi-Yau three-folds
  • Madhav Nori, A modified Hodge conjecture
  • Justin Sawon, Twisted Fourier-Mukai transforms for holomorphic symplectic manifolds
  • Wilfried Schmid, Automorphic distributions, L-functions, and functional equations
  • Jeff Viaclovsky, Fully nonlinear equations and conformal geometry
  • Claire Voisin, K-correspondences and intrinsic pseudovolume forms

2004 at Courant
  • Jean-Michel Bismut, The Hypoelliptic Laplacian on the Cotangent Bundle
  • Yasha Eliashberg, Positive Loops of Contact Transformations
  • Blaine Lawson, Projective Hulls and the Projective Gelfand Transformation
  • Dusa McDuff, Applications of J-holomorphic Curves
  • Xiaochun Rong, Local splitting structures on nonpositively curved manifolds
  • Dennis Sullivan, Algebraic topology in string backgrounds
  • Gang Tian, Extremal Metrics and Holomorphic Discs
  • Edward Witten, Gauge Theory Scattering From Curves In CP3

2005 at Stony Brook

2006 at Penn
  • Jeff Cheeger, Differentiation, bi-Lipschitz nonembedding and embedding
  • Charles Fefferman, Fitting a smooth function to data
  • Helmut Hofer, On the analytic and geometric foundations of symplectic field theory
  • Ko Honda, Reeb vector fields and open book decompositions
  • William H. Meeks, The Dynamics Theorem for embedded minimal surfaces
  • Yair Minsky, Asymptotic geometry of the mapping class group
  • Frank Morgan, Manifolds with Density
  • Zoltan Szabo, Link Floer homology and the Thurston norm

2007 at Maryland
  • Dan Freed, Secondary differential-geometric invariants, generalized cohomology, and QCD
  • Xiaobo Lu, Mean curvature flow for isoparametric submanifolds
  • Vitali Kapovitch, Some open problems in comparison geometry
  • Maryam Mirzakhani, Lattice point asymptotics and conformal densities on Teichmüller space
  • Charles Epstein, Stein fillings and index theorems
  • Guoliang Yu, Group actions and K-theory
  • Simon Brendle, Blow-up phenomena for the Yamabe PDE in high dimensions

2008 at Duke
  • Michael Anderson, Conformally compact Einstein metrics with prescribed 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 Structures

2009 at Stony Brook

2010 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

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 of Georgia): Contact invariant in Sutured Floer Homology and fillability

2013 at Maryland
  • Bo Berndtsson (Chalmers University): Variations of Bergman kernels and symmetrization of plurisubharmonic functions
  • Simon Donaldson (Imperial College, London): Kähler-Einstein metrics, extremal metrics and stability
  • Hans-Joachim Hein (Imperial College, London): Singularities of Kähler-Einstein metrics and complete Calabi-Yau manifolds
  • Peter Kronheimer (Harvard University): Instanton homology for knots and webs
  • Andrea Malchiodi (SISSA): Uniformization of surfaces with conical singularities
  • Aaron Naber (MIT): Characterizations of bounded Ricci curvature and applications
  • Yuval Peres (Microsoft Research): The geometry of fair allocation to random points
  • Brian White (Stanford University): Gap theorems for minimal submanifolds of spheres

2014 at Stony Brook
  • Robert Bryant (Duke University): Rolling surfaces and exceptional geometry
  • Alice Chang (Princeton University): On positivity of a class of conformal covariant operators
  • Mihalis Dafermos (Princeton University): On null singularities for the Einstein vacuum equations and the strong cosmic censorship conjecture in general relativity
  • Kenji Fukaya (Stony Brook): Mirror symmetry between Toric A model and LG B model: some recent progress
  • Matthew Gursky (Notre Dame University): Critical metrics on connected sums of Einstein four-manifolds
  • Robert Haslhofer (New York University): Mean curvature flow with surgery
  • Andre Neves (Imperial College): Existence of minimal hypersurfaces
  • Song Sun (Stony Brook): Kähler-Einstein metrics: Gromov-Hausdorff limits and algebraic geometry

2015 at Courant
  • Gábor Székelyhidi (Notre Dame): Kahler-Einstein metrics along the smooth continuity method
  • Blaine Lawson (Stony Brook): Potential theory for nonlinear PDE's
  • John Pardon (Stanford): Existence of Lefschetz vibrations on Stein/Weinstein domains
  • Raanan Schul (Stony Brook): Qualitative and quantitative rectifiability
  • Ursula Hamenstädt (Bonn): A Gromov/Thurston rigidity theorem for hyperbolic groups
  • Tatiana Toro (Washington): Almost minimizers with free boundary
  • Richard Bamler (Berkeley): There are finitely many surgeries in Perelman's Ricci flow

2016 at Princeton
  • Claude LeBrun (Stony Brook): Mass in Kähler Geometry
  • Ian Agol (UC Berkeley and IAS): Pseudo-Anosov stretch factors and homology of mapping tori
  • Davi Maximo (Stanford): Minimal surfaces with bounded index
  • Fernando Marques (Princeton): Morse index and multiplicity of min-max minimal hypersurfaces
  • Nancy Hingston (The College of New Jersey): Loop Products, Index Growth, and Dynamics
  • Jennifer Hom (Georgia Tech and IAS): Symplectic four-manifolds and Heegaard Floer homology
  • Fengbo Hang (NYU, Courant): Fourth order Paneitz operator and Q curvature equation
  • Jake Solomon (Hebrew University): The space of positive Lagrangians

2017 at Duke
  • Lucas Ambrozio (Imperial College) - Some new results for free boundary minimal surfaces
  • Otis Chodosh (Princeton) - Some new results on the global geometry of scalar curvature
  • Mark Haskins (Imperial College)
  • Chi Li (Purdue) - On metric tangent cones at Klt singularities
  • Marco Radeschi (Notre Dame) - "When all geodesics are closed"
  • Christina Sormani (CUNY) - "The Limits of Sequences of manifolds with Nonnegative Scalar Curvature"
  • Jeff Streets (UC Irvine) - Generalized Kahler Ricci flow and a generalized Calabi conjecture

2018 at Penn

2019 at Maryland
  • Yann Brenier (ETH, Zurich) - Fluid Mechanics and Geometry
  • Dietmar Salamon (CNRS, DMA-École Normale Supérieure ) - Moment maps in symplectic and Kähler geometry
  • Aleksandr Logunov (IAS, Princeton) - Zero sets of Laplace eigenfunctions
  • Jim Bryan (University of British Columbia) AG - The enumerative geometry and arithmetic of some of the world’s Tiniest Calabi-Yau threefolds
  • Yi Wang (Johns Hopkins University) - Boundary operator associated to σk curvature
  • Steven Zelditch (Northwestern University) - Spectral asymptotics on stationary spacetimes
  • Xuwen Zhu (University of California, Berkeley) Spherical Metrics with Conical Singularities
  • Alex Wright (University of Michigan) - Nearly Fuchsian surface subgroups of finite covolume Kleinian groups
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