Geometry Festival

Updated on Nov 22, 2024

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

1985 at Penn

Marcel Berger

Pat Eberlein

Jost Eschenburg

Friedrich Hirzebruch

Blaine Lawson

Leon Simon

Scott Wolpert

Deane Yang

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

Ngai-ming 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

Robert Bryant, The construction of metrics with exceptional holonomy

Francis Bonahon, Hyperbolic 3-manifolds with arbitrarily short geodesics

Keith Burns, Geodesic flows on the 2-sphere

Andreas Floer, Instantons and Casson's invariant

Hermann Karcher, Embedded minimal surfaces in the 3-sphere

Jürgen Moser, Minimal foliations of tori

Ed Witten. Applications of quantum field theory to topology

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

Eugenio Calabi, Extremal singular metrics on surfaces

Harold Donnelly, Nodal sets of eigenfunctions on Riemannian manifolds

Yasha Eliashberg, Symplectic geometric methods in several complex variables

Thomas Farrell, A topological analogue of Mostow's rigidity theorem

Lesley Sibner, Solutions to Yang-Mills equations which are not self-dual

Carlos Simpson, Moduli spaces of representations of fundamental groups

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

Stefan 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

Shiing-Shen Chern, Finsler geometry

Richard S. Hamilton, An isoperimetric estimate for the curve-shrinking flow

Vaughan Jones, Loop groups and operator algebras

Claude LeBrun, Compact Kähler manifolds of constant scalar curvature

Louis Nirenberg, The maximum principle and related things

Xiaochun Rong, Collapsing in low dimensions and rationality of geometric invariants

I. M. Singer, Geometry and quantum field theory

1995 at Stony Brook

Dimitri Burago, Asymptotic geometry of Z^n-periodic metrics

Tobias Colding, Ricci curvature and convergence

Dominic Joyce, Compact Riemannian manifolds with exceptional holonomy groups

Yael Karshon, Hamiltonian torus actions

David Morrison, Analogues of Seiberg-Witten invariants for counting curves on Calabi-Yau manifolds

Tom Mrowka, The Seiberg-Witten equations and 4-manifold topology

Yongbin Ruan, Higher genus pseudo-holomorphic curves

Edward Witten, Monopoles and four-manifolds

1996 at Maryland

J. Baez, Quantum gravity and BF theory in 4 dimensions

Jean-Luc Brylinski, Gauge groups and reciprocity laws on algebraic varieties

Bruce Kleiner, Spaces of nonpositive curvature

G. Margulis, Quantitative Oppenheim Conjecture

S. P. Novikov, Laplace and Darboux transformations

Richard Schwartz, The Devil's Pentagram

Guofang Wei, Volume comparison with integral curvature bounds

Shmuel Weinberger, Equivariant rigidity: For and against

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

S.-T. 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

Robert Bryant, Rigidity and quasirigidity of extremal cycles in Hermitian symmetric spaces

Tobias Colding, Embedded minimal surfaces in 3-manifolds

Boris Dubrovin, Normal forms of integrable PDE's

John Lott, Heat equation methods in noncommutative geometry

Dusa McDuff, Seminorms on the Hamiltonian group and the nonsqueezing theorem

Rick Schoen, Variational approaches to the construction minimal lagrangian submanifolds

Shing-Tung Yau, Mirror symmetry

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

Nancy Hingston, Periodic solutions of Hamilton's equations on tori

Sergiu Klainerman, Null hypersurfaces and curvature estimates in general relativity

Bruce Kleiner, Singular structure of mean curvature flow

Frank Pacard, Blowing up Kähler manifolds with constant scalar curvature

Rahul Pandharipande, A topological view of Gromov-Witten theory

Igor Rodniansky, Non-linear waves and Einstein geometry

Yum-Tong Siu, Methods of singular metrics in algebraic geometry

Katrin Wehrheim, Floer theories in symplectic topology and gauge theory

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 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

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 Spaces

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 Holder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

Marianna Csornyei (University College London and Yale): Tangents of null sets

Larry Guth (UToronto): 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 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

References

Geometry Festival Wikipedia

(Text) CC BY-SA

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