
23rd Annual
Geometry Festival
Previous
Geometry Festival Speakers

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"
 Zhiyong 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 nonnegative curvature"
 John Morgan, "Self dual connections and the
topology of 4manifolds"
 Chuulian Terng, "Submanifolds with flat normal
bundle"
1987 at Penn:
 Robert Bryant, "The construction of metrics
with exceptional holonomy"
 Francis Bonahon, "Hyperbolic 3manifolds with
arbitrarily short geodesics"
 Keith Burns, "Geodesic flows on the 2sphere"
 Andreas Floer, "Instantons and Casson's
invariant"
 Hermann Karcher, "Embedded minimal surfaces in
the 3sphere"
 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
nonnegative Ricci
curvature"
 Nicolas Kapouleas, "Constant mean curvature
surfaces in E^{3}"
 Robert Osserman, "Gauss map of complete minimal
surfaces"
 Pierre Pansu, "L^{p}cohomology
of negatively curved
manifolds"
 Peter Petersen, "Bounding homotopy types by
geometry"
 Gang Tian, "KählerEinstein 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 YangMills
equations which are not
selfdual"
 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
nonnegatively curved
manifolds"
 Misha 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"
 ShingTung Yau, "Some theorems in
Kähler geometry"
1991 at Duke:
 Jeff Cheeger, "Transgressed Euler classes of
SL(2n,Z)bundles and adiabatic
limits of etainvariants"
 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"
 WuYi 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 NYU/Courant:
 Jonathan Block, "Aperiodic tilings, positive
scalar curvature and other
homological phenomena"
 John Franks, "Infinitely many closed geodesics
on the 2sphere"
 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, "Antiselfdual connections on SU(2)
bundles over algebraic
surfaces"
 Dusa McDuff, "Symplectic 4manifolds"
 Clifford Taubes, "Antiself dual conformal
structures in 4 dimensions"
1993 at Penn:
 ShingShen Chern, "Finsler geometry"
 Richard Hamilton, "An isoperimetric estimate
for the curveshrinking
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 SeibergWitten
invariants for counting curves
on CalabiYau manifolds"
 Tom Mrowka, "The SeibergWitten equations and
4manifold topology"
 Yongbin Ruan, "Higher genus pseudoholomorphic
curves"
 Edward Witten, "Monopoles and fourmanifolds"
1996 at Maryland:
 J. Baez, "Quantum gravity and BF theory in 4
dimensions"
 JeanLuc 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"
 Guofong Wei, "Volume comparison with integral
curvature bounds"
 Shmuel Weinberger, "Equivariant rigidity: For
and against"
 Jeanne Nielsen Clelland , "Geometry of
Conservation Laws for Parabolic
PDE's"
 Anatole Katok , "Rigidity and invariant
geometric structures for
differentiable group actions"
 François Labourie , "MongeAmpere
problems, holomorphic curves and
laminations"
 Gang Liu, "Floer Homology and the Arnold
Conjecture"
 William Minicozzi, "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"
 Scott Axelrod, "Generalized ChernSimons
invariants as a generalized
Lagrangian field theory"
 JeanMichel Bismut, "ChernSimons classes,
Bott Chern classes and analytic
torsion"
 Spencer Bloch, "Algebrogeometric ChernSimons
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 ChernSimons form
(from anomalies to the quantum Hall effect to magnetic stars)"
 Mikhail Gromov, "Dynamics on function spaces"
 Maxim Kontsevich, "On regulators, critical
values and qfactorials"
 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
nonlinearity"
 Clifford Taubes, "SeibergWitten invariants,
harmonic forms, and their
pseudoholomorphic curves"
 Gang Tian, "YangMills 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"
 Zhengxu He, "The gradient flow for the
Möbius energy of
knots"
 Curtis McMullen, "The moduli space of Riemann
surfaces is
Kählerhyperbolic"
 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"
 Samuel Ferguson, "The Kepler Conjecture"
 Robert Meyerhoff, "Rigorous computeraided
proofs in the theory of hyperbolic 3manifolds"
 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"
 Robert Bryant, "Rigidity and quasirigidity of
extremal cycles in Hermitian
symmetric spaces"
 Tobias Colding, "Embedded minimal surfaces in
3manifolds"
 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"
 ShingTung Yau, "Mirror symmetry"
 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 GaussBonnet
integrand"
 Xiuxiong Chen,"The space of Kähler
metrics"
 George Daskalopoulos,"On the YangMills flow in
higher dimensions"
 Alex Eskin, "Billiards and lattices"
 Juha Heinonen, "On the existence of
quasiregular mappings"
2004 at Courant:

JeanMichel 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 Jholomorphic 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 CP^{3}
 Juha
Heinonen
On the
existence of quasiregular mappings
 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 Kahler manifolds with constant scalar curvature
 Rahul
Pandharipande
A
topological view of GromovWitten theory
 Igor
Rodniansky
Nonlinear
waves and Einstein geometry
 YumTong
Siu
Methods
of singular metrics in algebraic geometry
 Katrin
Wehrheim
Floer
theories in symplectic topology and gauge theory
 Jeff Cheeger (Courant)
Differentiation, biLipschitz
nonembedding and embedding
 Charles Fefferman (Princeton
University)
Fitting a smooth function to data
 Helmut Hofer (Courant)
On the analytic and geometric
foundations of symplectic field theory
 Ko Honda (University of Southern California)
Reeb vector fields and open book
decompositions
 William Meeks (University of Massachusetts)
The Dynamics Theorem for embedded minimal
surfaces
 Yair Minsky (Yale University)
Asymptotic geometry of the mapping class group
 Frank Morgan (Williams College)
Manifolds with Density
 Zoltan Szabo (Princeton University)
Link Floer homology and the Thurston norm

