Topology Festival
May 11–13, 2018
Festival Speakers 19822017
1982
 E. Thomas, Hilbert Modular Varieties
 W. Metzler, Simplehomotopy
in Low Dimensions and Group Presentations
 T. Petrie, Smith Equivalence of
Representations
 S. Ferry, Fibered Triangulations of Qmanifold Bundles
 R. Hamilton, ThreeManifolds
with Positive Ricci Curvature
 D. Johnson, Finite Generation of the Torelli
Subgroup of the Mapping Class Group
 R. Charney, Cohomology of Satake Compactifications
 M. Davis, Groups
Generated by Reflections and Aspherical Manifolds Not Covered by Euclidean
Space
1983
 J. Milnor, InfiniteDimensional Lie Groups: A Survey
 F. Peterson,
Loop Spaces and the Dickson Algebra
 K. Igusa, Parametrized Morse Theory and
Pseudoisotopy
 M. Steinberger, Equivariant Fiber Properties
 F. Quinn, Recent Progress in
4manifolds
 K.H. Dovermann, Smith Equivalence of Representations
 H. Miller, Recent Work
on the Homotopy Theory of Classifying Spaces of Finite Groups
 P. Scott, Least
Area Surfaces in 3manifolds
1984
 J. Morgan, Degeneration of Hyperbolic Structures and Groups Acting
on Trees
 S. Weinberger, Symmetry and Homology
 M. Culler, A Space of Moduli for the
Free Group
 D. Davis, A Strong NonImmersion Theorem for Real Projective Spaces
 G. Katz,
Integrality Theorems and Witt Analogues of Burnside Rings
 K. Brown, Finiteness
Properties of Groups of Tree Derangements
 R. Fintushel, SO(3)Connections
and the Topology of 4Manifolds
1985
 W. Neumann, Volumes of Hyperbolic 3Manifolds
 J. Birman, Jones' New Link Invariants
 K. Orr, A General
Framework for Link Cobordism Implying the SatoLevine Invariants
Vanish
 D. DeTurck, Music on Manifolds
 M. Gage, A Curve Shortening Process in the
Plane
 M. Steinberger, Equivariant Topological Torsion
 E. Devinatz, On Ravenel's
Nilpotence Conjecture
 D. Gabai, Foliations and the Topology of 3Manifolds
1986
 W. Kazez, Maps of Surfaces and Some Conjectures of Berstein and Edmonds
 L.
Kaufmann, State Models for Knot Polynomials
 J. Harper, CoGroups which
are not Suspensions
 C. Rourke, A Proof of the Poincare Conjecture I
 S. Plotnick, Growth Functions
and Fuchsian Groups
 P. Hilton, Failures of Cancellation in Group Theory and
Homotopy Theory
 A. Edmonds, Group Actions on 4Manifolds
 C. Rourke, A Proof of the Poincare
Conjecture II
1987
 M. Handel, ZeroEntropy Surface Diffeomorphisms
 J. Shaneson, Smooth
Nontrivial 4Dimensional sCobordisms
 C. Wilkerson, Smith Theory and the Sullivan
Conjecture
 M. Scharlemann, Link Genus and the Conway Skein Tree
 P. Shalen, Trees and
Continued Fractions
 G. Carlsson, Applications of the Burnside Ring Conjecture
 J. West,
Nonlinear Similarity Begins in Dimension 6
 B. Lawson, The Topological Structure
of the Space of Algebraic Varieties
1988
 D. Fried, Homology of Free Abelian Covers
 S. Ferry, EpsilonTopology and
Novikov's Conjecture
 J. Luecke, The Knot Complement Problem
 P. Peterson, Bounding Homotopy
Types by Geometry
 W. Dwyer, Wreath Products and Iterated Fibrations
 W. Metzler, The Distinction
between Homotopy Type and SimpleHomotopy Type for
2Complexes
 M. Bestvina, Train Tracks for Free Group Automorphisms and a
Conjecture of Peter
Scott
1989
 F. T. Farrell, A Topological Analogue of Mostow's Rigidity Theorem
 E. Miller,
Generalizations of Casson's Invariant for 3Manifolds
 D. Ravenel, The Chromatic
Point of View in Homotopy Theory
 C. Frohman, Unitary Representation of Knot
Groups
 R. Skora, Splitting of Surfaces
 W.C. Hsiang, The KTheoretic Novikov Conjecture
 L. Jones, A Counterexample
to Smooth Rigidity
 C. McMullen, 3Manifolds and Riemann Surfaces
1990
 B. Eckmann, The Euler Characteristic of Spaces and Groups  Theme
and Variations
 J. Morgan, Applications of Gauge Theory to Smooth 4Manifolds
 A. Dranishnikov,
Cohomological Dimension Theory and its Applications
 T. Cochran, New Linking
Phenomena: The Land Beyond Massey Products
 T. Petrie, The Equivariant Serre
Conjecture and Algebraic Actions on Complex nSpace
 M. Feighn, Combining Negatively
Curved Groups
 A. Adem, Cohomology and Actions of Finite Groups
 M. Culler, Paradoxical Decompositions
and Margulis Numbers
1991
 S. Stolz, SimplyConnected Manifolds of Positive Scalar Curvature
 J. Cao,
Almost Visible Manifolds of Nonpositive Curvature
 W. Menasco, The Tait Conjecture
and the Classification of Alternating Links
 T. Goodwillie, Loops and the
KTheory of Group Rings
 M. Lustig, Tunnels, Bridges and K_1
 M. Kapranov, On a Conjecture of Baues
in the Theory of Loop Spaces
 A. Casson, The SeifertFiberedSpace Conjecture
1992
 P. Hilton, The Life and Work of Israel Berstein
 Z.X. He, On "Energy" of
Knots and Unknots
 C. Wilkerson, Estimating Homotopy by Cohomology
 M. Bridson, The Flat Torus
Theorem and Semihyperbolic Groups
 W. Goldman, Building Polyhedra in Variable
Curvature
 A. Hatcher, Sphere Complexes of 3Manifolds and Aut(F_n)
 J. Bryant,
A NonResolvable Generalized Manifold
 E. Pedersen, On the Sphere Cross Euclidean
Space Form Problem
 J. Franks, Geodesics on the 2Sphere and Periodic
Points of Annulus Homeomorphisms
1993
 R. Schoen, Harmonic Maps and Actions of Discrete Groups
 J. Shaneson,
Counting Lattice Points and Singularities of Functions
 I. Rivin, Deformation
Theory of Singular Hyperbolic Metrics on 3Manifolds
 A. Dranishnikov, Cohomological
Dimension Type and the Mapping Intersection Problem
 U. Oertel, Spaces which
are not Negatively Curved
 G. Carlsson, Some Remarks on the Assembly Map in
Algebraic KTheory
 C. Curtis, Generalized Casson Invariants
 M. Bestvina, The Boundary of Outer
Space
1994
 K. Kuperberg, Counterexamples to the Seifert Conjecture
 P. Thurston, The
4Dimensional Busemann Conjecture: Recognizing Manifolds in Synthetic Geometry
 L.
Mosher, Mapping Class Groups are Automatic
 S. Ferry, InfiniteDimensional
Phenomena in FiniteDimensional Topology
 S. Gersten, Subgroups of Hyperbolic
Groups
 R. Charney, Hyperplane Complements Associated to Infinite
Reflection Groups
 M. Feighn, On the Tits Alternative for Out(F_n)
 R. Gompf, On the Topology
of Symplectic 4Manifolds
1995
 R. Fintushel, Introduction to SeibergWitten Invariants
 B. Farb, Coarse Geometry
and Rigidity
 D. Chase, Fixed Point Sets of Involutions on Spheres
 J. Cannon, Thompson's
Group: Fordham's Algorithm for Minimal Representatives
 R. MacPherson, The
Topological Trace Formula
 D. Burago, Asymptotic Invariants of Riemannian Tori
 J. Morgan, Applications
of SeibergWitten Invariants to the Topology of 4Manifolds
1996
 D. Gabai, Geometric and Topological Rigidity of Hyperbolic 3Manifolds
 Y.
Minsky, The Complex of Curves on a Surface: Hyperbolicity Lost and Found
in Teichmueller Space
 M. Weiss, Index Theory Without Operators
 M. Brin, Automorphisms of Some Small
Homeomorphism Groups
 N. Brady, Branched Coverings of Cubical Complexes and
Subgroups of Hyperbolic Groups
 R. Lee, The Spherical Space Form Problem
 M. Davis, Boundaries of Coxeter
Groups
1997
 B. Kleiner, The LargeScale Geometry of Spaces with Nonpositive
Curvature
 M. Hopkins, Topological Modular Forms
 L. Carbone, NonUniform Lattices on
Uniform Trees
 Z. Szabo, Disproving the Minimal Conjecture
 M. Sageev, JSJSplittings for
Finitely Presented Groups
 W. Dwyer, Homology Decompositions for Classifying
Spaces
 Z. Sela, LowDimensional Topology, Algebraic Geometry over Groups,
and the Elementary
Theory of Free Groups
1998
 D. Cooper, Some Surface Subgroups Survive Surgery
 J. Stasheff, From
Operads to String Theory
 J. McCammond, General Versions of Small Cancellation
Theory
 M. Hutchings, Reidemeister Torsion in Generalized Morse Theory
(with an Application
to SeibergWitten Theory)
 A. Reid, Thue Equations and Dehn Surgery
 M. Handel, The Mapping Torus of
a Free Group Automorphism is Coherent
 W. Thurston, ThreeManifolds that Slither
around the Circle
1999
 Y. Eliashberg, Introduction to Symplectic Field Theory
 P. Shalen,
Boundary Slopes of Knots, and 3Manifolds with Cyclic Fundamental Group
 C.
Woodward, Eigenvalue Inequalities and Quantum Cohomology of the Grassmannian
 W.
Ziller, Curvature and Symmetry of Milnor Spheres
 S. Boyer, A Proof of the
Finite Filling Conjecture
 M. Kapovich, Group Actions on Coarse Poincare Duality
Spaces
 D. Wise, Subgroup Separability of the Figure 8 Knot
 R. Edwards, Cantor Groups,
their Classifying Spaces, and their Actions on ENR's
2000
 R. Geoghegan, SL(2) Actions on the Hyperbolic Plane
 C. Connell, Volume Growth Rigidity
 M. Sapir, Some Applications of Higman Embeddings
 J. Roe, Amenability and Assembly Maps
 K. Whyte, Large Scale Geometry of Graphs of Groups
 M. Bridson, Subgroups of Semihyperbolic Groups
 S. Bigelow, Braid Groups are Linear
2001
 G. Tian, Symplectic Surfaces in Rational Complex Surfaces
 P. Teichner, LTheory of Knots
 J. Rognes, TwoPrimary Algebraic KTheory of Pointed Spaces
 D. Sinha, The Topology of Spaces of Knots
 D. Calegari, Promoting Essential Laminations
 M. Abreu, The Topology of Symplectomorphism Groups
 D. Allcock, Reflection Groups on the Octave Hyperbolic Plane
 R. Forman, The Differential Topology of Combinatorial Spaces
2002
 M. Bestvina, Measured Laminations and Group Theory
 D. Biss, The Combinatorics of Smooth Manifolds: Oriented Matroids in
Topology
 S. Gersten, Isoperimetric Inequalities for Nilpotent Groups
 D. McDuff, The Topology of Groups of Symplectomorphisms
 Y. Minsky, On Thurston's Ending Lamination Conjecture
 P. Ozsvath, Holomorphic Disks and Lowdimensional Topology
 G. Yu, The Novikov Conjecture and Geometry of Groups
2003
 D. BarNatan,
The Unreasonable Affinity of Knot Theory and the Algebraic Sciences
 J. Birman,
Stabilization in the Braid Groups
 F. Cohen,
Braid Groups, the Topology of Configuration Spaces, and Homotopy
Groups
 B. Farb,
Hidden Symmetries of Riemannian Manifolds
 G. Levitt,
Automorphisms of Canonical Splittings
 J. Meier,
Asymptotic Cohomology for the Motion Group of a Trivial nComponent
Link
 J. Roberts,
RozanskyWitten Theory
 D. Thurston,
How Efficiently Do 3Manifolds Bound 4Manifolds?
 U. Tillmann,
The Topology of the Space of Strings
 A. Valette,
Vanishing Results for the First L^{2} Betti Number of a
Group
 K. Vogtmann,
Graph Homology and Outer Space
2004
 I. Agol,
Tameness of Hyperbolic 3Manifolds
 J. Brock,
Ending Laminations and the WeilPetersson Visual Sphere
 N. Dunfield,
Does a Random 3Manifold Fiber Over the Circle?
 J. Etnyre,
Invariants of Embeddings Via Contact Geometry
 R. Grigorchuk,
Groups of Branch Type and Finitely Presented Groups
 P. Kronheimer,
Property P for Knots
 Y. Rudyak,
Category Weight and the Arnold Conjecture on Fixed Points of
Symplectomorphisms
 R. Schwartz,
Spherical CR Geometry and Dehn Surgery
 D. Sullivan,
String Background in Algebraic Topology
 Z. Szabo,
Heegaard Diagrams and Holomorphic Disks
 W. Thurston,
What Next?
2005
 Denis Auroux,
Symplectic 4Manifolds, Mapping Class Groups, and Fiber Sums
 Augustin Banyaga,
Some Invariants of Transversally Oriented Foliations
 Paul Biran, Algebraic Families and Lagrangian
Cycles
 Thomas Delzant, Fundamental Groups of Kaehler
Manifolds
 Yakov Eliashberg, Geometry of Contact Transformations: Orderability vs. Squeezing
 Étienne Ghys, Minimal Sets of Holomorphic Foliations
on the Complex Projective Plane: A Survey
 Yael Karshon, Tori in Symplectomorphism Groups
 John Morgan,
Ricci Flow and Topology of 3Manifolds
 Shahar Mozes , Lattices in Products of Trees
 Yann Ollivier, A Panorama of Random Groups
 Brendan Owens, Unknotting Information from
Heegaard Floer Theory
2006
 Noel Brady, University
of Oklahoma
PerronFrobenius Eigenvalues, Snowflake Groups and
Isoperimetric Spectra
 Gunnar Carlsson,
Stanford University
Algebraic Topology and High Dimensional Data
 Thomas Farrell,
Binghamton University
Some Applications of Topology to Geometry
 Soren Galatius,
Stanford University
Stable Homology of Automorphisms of Free Groups
 Robert Ghrist,
University of Illinois at UrbanaChampaign
Homological Sensor Networks
 Jesper Grodal,
University of Chicago
From Finite Groups to Infinite Groups via Homotopy
Theory
 Maurice Herlihy,
Brown University
Topological Methods in Distributed and Concurrent
Computing
 Tara Holm, Connecticut
and Cornell University
Orbifold Cohomology of Abelian Symplectic Reductions
 Martin Kassabov,
Cornell University
Kazhdan Property T and its Applications
 Lee Mosher, Rutgers
University
Axes in Outer Space
 Nathalie Wahl,
University of Chicago
Mapping Class Groups of Nonorientable Surfaces
2007
 Danny Calegari,
California Institute of Technology
Curvature and stable commutator length
 Ralph Cohen,
Stanford University
Surfaces in a background manifold and the
homology of mapping class groups
 Cornelia Drutu,
Université des Sciences et Technologies de Lille I
Relatively hyperbolic groups: geometry and
quasiisometric invariance
 Alex Eskin,
University of Chicago
Counting problems in Teichmüller space
 Mark Feighn,
Rutgers University at Newark
Definable subsets of free groups
 Ilya Kapovich,
University of Illinois at UrbanaChampaign
Geodesic currents and outer space
 Chris Leininger,
University of Illinois at UrbanaChampaign
The boundary of the curve complex
 Tim Riley,
Cornell University
The geometry of discs spanning loops in groups and
spaces
 Juan Souto,
University of Chicago
Heegaard splittings and hyperbolic geometry
 Gang Tian,
Princeton University
Geometrization of low dimensional manifold
2008
 Andrew Dancer,
Oxford University
Symplectic Versus Hyperkahler Geometry
 Hansjörg
Geiges, University of Cologne
Contact Dehn Surgery
 Viktor
Ginzburg, University of California at Santa Cruz
Leafwise Coisotropic Intersections
 Rebecca
Goldin, George Mason University
Equivariant Cohomology in Symplectic Geometry
 Richard
Kenyon, Brown University
The Configuration Space of Branched Polymers
 Ian Leary,
Ohio State University
Infinite Smith Groups
 Kaoru Ono,
Hokkaido University
Floer Theory for Lagrangian Submanifolds
 Peter Ozsváth,
Columbia University
Heegard Diagrams and Holomorphic Disks
 Katrin
Wehrheim, Massachusetts Institute of Technology
Construction of Topological Invariants Via Decomposition
and Representation in a Symplectic Category
 Shmuel Weinberger,
University of Chicago
Manifolds Whose Universal Covers Have Finite Type
2009
 PierreEmmanuel Caprace, University of Louvain
Isometry Groups of Proper CAT(0) Spaces
 Benson Farb, University of Chicago
Some Universality Phenomena for PseudoAnosov Dilations
 Tom Farrell, Binghamton University
Bundles with Negatively Curved Fibers
 Cameron Gordon, University of Texas
Surface Subgroups of Doubles of Free Groups
 Bruce Kleiner, Courant Institute
A New Proof of Gromov's Theorem on Groups of Polynomial Growth
 Seonhee Lim, Cornell University
Volume Entropy of Buildings
 Robert MacPherson, Institute for Advanced Study
The Geometry of Crystal Decompositions in Materials
 Kasra Rafi, University of Chicago
Counting Closed Geodesics in a Stratum
 Bertrand Rémy, University of Lyon
Rigidity and Quasiisomorphism Classes of Simple Twin Building
Lattices
 Anna Wienhard, Princeton University
Domains of Discontinuity
2010
 Miklos Abert,
University of Chicago
Graph Limits, Covering Towers, and the Dynamics of Profinite Actions
 Indira Chatterji, Ohio State University and Université d'Orléans
Subgroup Distortion and Bounded Cohomology
 Karsten Grove, University of Notre Dame
Positive Curvature in the Presence of Symmetries
 Jeremy Kahn, Stony Brook University
Essential Immersed Surfaces in Closed Hyperbolic 3Manifolds
 Dan Margalit, Tufts University
Problems and Progress on Torelli Groups
 Nikolay Nikolov, Imperial College London
Rank Gradient of Groups and Applications
 Doug Ravenel, University of Rochester
The ArfKervaire Invariant Problem
 Ed Swartz, Cornell University
Counting Faces Since Poincaré
 Daniel Wise, McGill University
The Structure of Groups with a Quasiconvex Hierarchy
 Robert Young, IHES
The Dehn Function of SL(n;Z)
2011

Matthew Foreman, University of California at Irvine
Classifying Measure Preserving Diffeomorphism of the Torus

Rostislav Grigorchuk, Texas A&M University
Manifestations of the Lamplighter

Olga Kharlampovich, McGill University
Algebraic Geometry for Groups

Darren Long, University of California at Santa Barbara
Some Algebraic Applications of Real Projective Manifolds

Jason Manning, State University of New York at Buffalo
Hyperbolic Dehn Filling of Spaces and Groups

Yair Minsky, Yale University
Dynamics of Automorphism Groups: Ergodicity, Stability, and Topology

Justin Moore, Cornell University
Amenability and Ramsey Theory

Alexandra Pettet, Oxford University
Abstract Commensurators of the Johnson Filtration

Slawek Solecki, University of Illinois at UrbanaChampaign
Fixed Points, Ramsey Theorems, Concentration of Measure, and Submeasures

Simon Thomas, Rutgers University
The Complexity of the QuasiIsometry Relation for Finitely Generated Groups
2012

Ian Agol, University of California at Berkeley
The Virtual Haken Conjecture

Francis Bonahon, University of Southern California
Hitchin Representations

David Gabai, Princeton University
Volumes of Hyperbolic 3Manifolds

Allen Hatcher, Cornell University
A 50Year View of Diffeomorphism Groups

Jacob Lurie, Harvard University
The Siegel Mass Formula, Tamagawa Numbers, and Nonabelian Poincaré Duality

Peter May, University of Chicago
What Is Equivariant Cohomology and What Is It Good For?

Dusa McDuff, Barnard College / Columbia University
Embedding Questions in Symplectic Geometry

John Milnor, Stony Brook University
Small Denominators: Adventures Through the Looking Glass

Tom Mrowka, Massachusetts Institute of Technology
Instantons and Knots

Walter Neumann, Barnard College / Columbia University
Local Metric Geometry of Complex Varieties

Hee Oh, Brown University
Circle Packings and Ergodic Theory

John Pardon, Stanford University
Totally Disconnected Groups (Not) Acting on ThreeManifolds

Ronald Stern, University of California at Irvine
Pinwheels, Smooth Structures, and 4Manifolds with Euler Characteristic 3

Peter Teichner, University of California at Berkeley / MPI Bonn
Iterated Disk Constructions in 4Manifold Topology

William Thurston, Cornell University
2015
 Mladen Bestvina, University of Utah
Boundaries of Hyperbolic Spaces (Friday Introductory Talk)
Boundaries of Some $Out(F_n)$Complexes
 Matthew Strom Borman, Stanford University and IAS
Overtwisted Contact Structures
 Cornelia Drutu, Oxford University
Fixed Point Properties and Proper Actions on Nonpositively Curved Spaces and on Banach Spaces
 Talia Fernos, University of North Carolina Greensboro
The Roller Boundary and CAT(0) Cube Complexes
 Koji Fujiwara, Kyoto University
Geometry of Contracting Geodesics (Friday Introductory Talk)
Handlebody Subgroups In A Mapping Class Group
 Bob Gilman, Stevens Institute
Universal Groups of Prees
 John Hubbard, Cornell University
Parabolic Blowups
 Denis Osin, Vanderbilt University
Highly Transitive Actions, Mixed Identities, and Acylindrical Hyperbolicity
 Ori Parzanchevski, Princeton University and IAS
High Dimensional Expanders
 Ana Rita Pires, Fordham University
The Topology of Toric Origami Manifolds
2016
 Karim Adiprasito, Hebrew University of Jerusalem
Combinatorial Hodge Theory of Manifolds, Geometries, and Minkowski Weights
 Laura Anderson, Binghamton University
Phased Matroids and Matroids Over Hyperfields
 Anders Björner, Royal Institute of Technology (KTH)
Topological Combinatorics — an Introduction and Retrospective
 Florian Frick, Cornell University
Intersection Patterns of Finite Sets and of Convex Sets
 Patricia Hersh, North Carolina State University
Representation Stability and $S_n$Module Structure in the Homology of the Partition Lattice
 Matthew Kahle, Ohio State University
Topology of Random Simplicial Complexes (introductory talk)
A Bouquet of Spheres (research talk)
 Greg Kuperberg, University of California at Davis
Geometric Topology Meets Computational Complexity
 Ciprian Manolescu, University of California at Los Angeles
The Triangulation Conjecture
 Emmy Murphy, Massachusetts Institute of Technology
Flexibility in High Dimensional Contact Geometry
 Bena Tshishiku, Stanford University
Obstructions to Nielsen Realization
 Günter Ziegler, Freie Universität Berlin
Geometry vs. Topology: On 4Polytopes and 3Spheres
2017
 David Ayala, Montana State University
Factorization Homology and TQFTs
 Andrew Blumberg, University of Texas at Austin
The Kunneth Theorem for Topological Periodic Cyclic Homology
 Moira Chas, Stonybrook University
Computer Driven Questions, Pretheorems and Theorems in Geometry
 Dan Freed, University of Texas at Austin
Remarks About the Interface of Topology and Physics (introductory talk)
Bordism and Topological Phases of Matter
 Leonard Gross, Cornell University
The Ground State Transformation
 Kathryn Hess, École Polytechnique Fédérale de Lausanne
Configuration Spaces of Products
 Vlad Markovic, California Institute of Technology
Caratheodory's Metrics on Teichmüller Spaces
 Kate Poirier, The City University of New York
Fatgraphs for String Topology
 Hiro Lee Tanaka, Harvard University
Bringing More Homotopy Theory to Symplectic Geometry
 Susan Tolman, University of Illinois at Urbana
NonHamiltonian Circle Actions with Isolated Fixed Points
 Jonathan Weitsman, Northeastern University
On the Geometric Quantization of (Some) Poisson Manifolds