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Festival Speakers since 1982

1982

• E. Thomas, Hilbert Modular Varieties

• W. Metzler, Simple-homotopy in Low Dimensions and Group Presentations

• T. Petrie, Smith Equivalence of Representations

• S. Ferry, Fibered Triangulations of Q-manifold Bundles

• R. Hamilton, Three-Manifolds 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, Infinite-Dimensional 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 4-manifolds

• 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 3-manifolds

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 Non-Immersion 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 4-Manifolds

1985

• W. Neumann, Volumes of Hyperbolic 3-Manifolds

• J. Birman, Jones' New Link Invariants

• K. Orr, A General Framework for Link Cobordism Implying the Sato-Levine 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 3-Manifolds

1986

• W. Kazez, Maps of Surfaces and Some Conjectures of Berstein and Edmonds

• L. Kaufmann, State Models for Knot Polynomials

• J. Harper, Co-Groups 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 4-Manifolds

• C. Rourke, A Proof of the Poincare Conjecture II

1987

• M. Handel, Zero-Entropy Surface Diffeomorphisms

• J. Shaneson, Smooth Nontrivial 4-Dimensional s-Cobordisms

• 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, Epsilon-Topology 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 Simple-Homotopy Type for 2-Complexes

• 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 3-Manifolds

• 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 K-Theoretic Novikov Conjecture

• L. Jones, A Counterexample to Smooth Rigidity

• C. McMullen, 3-Manifolds and Riemann Surfaces

1990

• B. Eckmann, The Euler Characteristic of Spaces and Groups - Theme and Variations

• J. Morgan, Applications of Gauge Theory to Smooth 4-Manifolds

• 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 n-Space

• M. Feighn, Combining Negatively Curved Groups

• A. Adem, Cohomology and Actions of Finite Groups

• M. Culler, Paradoxical Decompositions and Margulis Numbers

1991

• S. Stolz, Simply-Connected 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 K-Theory 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 Seifert-Fibered-Space 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 3-Manifolds and Aut(F_n)

• J. Bryant, A Non-Resolvable Generalized Manifold

• E. Pedersen, On the Sphere Cross Euclidean Space Form Problem

• J. Franks, Geodesics on the 2-Sphere 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 3-Manifolds

• 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 K-Theory

• C. Curtis, Generalized Casson Invariants

• M. Bestvina, The Boundary of Outer Space

1994

• K. Kuperberg, Counterexamples to the Seifert Conjecture

• P. Thurston, The 4-Dimensional Busemann Conjecture: Recognizing Manifolds in Synthetic Geometry

• L. Mosher, Mapping Class Groups are Automatic

• S. Ferry, Infinite-Dimensional Phenomena in Finite-Dimensional 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 4-Manifolds

1995

• R. Fintushel, Introduction to Seiberg-Witten 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 Seiberg-Witten Invariants to the Topology of 4-Manifolds

1996

• D. Gabai, Geometric and Topological Rigidity of Hyperbolic 3-Manifolds

• 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 Large-Scale Geometry of Spaces with Nonpositive Curvature

• M. Hopkins, Topological Modular Forms

• L. Carbone, Non-Uniform Lattices on Uniform Trees

• Z. Szabo, Disproving the Minimal Conjecture

• M. Sageev, JSJ-Splittings for Finitely Presented Groups

• W. Dwyer, Homology Decompositions for Classifying Spaces

• Z. Sela, Low-Dimensional 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 Seiberg-Witten Theory)

• A. Reid, Thue Equations and Dehn Surgery

• M. Handel, The Mapping Torus of a Free Group Automorphism is Coherent

• W. Thurston, Three-Manifolds that Slither around the Circle

1999

• Y. Eliashberg, Introduction to Symplectic Field Theory

• P. Shalen, Boundary Slopes of Knots, and 3-Manifolds 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, L-Theory of Knots

• J. Rognes, Two-Primary Algebraic K-Theory 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 Low-dimensional Topology

• G. Yu, The Novikov Conjecture and Geometry of Groups

2003

• D. Bar-Natan, 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 n-Component Link

• J. Roberts, Rozansky-Witten Theory

• D. Thurston, How Efficiently Do 3-Manifolds Bound 4-Manifolds?

• U. Tillmann, The Topology of the Space of Strings

• A. Valette, Vanishing Results for the First L2 Betti Number of a Group

• K. Vogtmann, Graph Homology and Outer Space

2004

• I. Agol, Tameness of Hyperbolic 3-Manifolds

• J. Brock, Ending Laminations and the Weil-Petersson Visual Sphere

• N. Dunfield, Does a Random 3-Manifold 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 4-Manifolds, 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 3-Manifolds

• 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
  Perron-Frobenius 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 Urbana-Champaign
  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 Non-orientable 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 quasi-isometric 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 Urbana-Champaign
  Geodesic currents and outer space

• Chris Leininger, University of Illinois at Urbana-Champaign
  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
  Leaf-wise 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

• Pierre-Emmanuel Caprace, University of Louvain
  Isometry Groups of Proper CAT(0) Spaces

• Benson Farb, University of Chicago
  Some Universality Phenomena for Pseudo-Anosov 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 Quasi-isomorphism 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 3-Manifolds

• 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 Arf-Kervaire 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 Urbana-Champaign
  Fixed Points, Ramsey Theorems, Concentration of Measure, and Submeasures

• Simon Thomas, Rutgers University
  The Complexity of the Quasi-Isometry 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 3-Manifolds

• Allen Hatcher, Cornell University
  A 50-Year 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 Three-Manifolds

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

• Peter Teichner, University of California at Berkeley / MPI Bonn
  Iterated Disk Constructions in 4-Manifold 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 Non-positively 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 4-Polytopes and 3-Spheres

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, Pre-theorems 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
  Non-Hamiltonian Circle Actions with Isolated Fixed Points

• Jonathan Weitsman, Northeastern University
  On the Geometric Quantization of (Some) Poisson Manifolds

2018

• Tara Brendle, University of Glasgow
  Normal Subgroups of Mapping Class Groups

• Thomas Church, Stanford University
  New Methods for Finite Generation

• Kazuo Habiro, Kyoto University
  Hochschild-Mitchell Homology of Stratified Linear Categories

• David Jordan, University of Edinburgh
  Braided Tensor Categories and the Cobordism Hypothesis

• Liat Kessler, Cornell University
  Equivariant Cohomology Distinguishes Circle Actions on a Symplectic Four-Manifold

• Mikhail Khovanov, Columbia University
  Categorification in Topology and Representation Theory and
  How to Category the Ring of Integers with Two Inverted

• Ajay Ramadoss, Indiana University
  Representation Homology of Spaces

• Brooke Shipley, University of Illinois at Chicago
  Coalgebras, coTHH, and K-Theory

• Vladimir Turaev, Indiana University
  Introduction to TQFTs and HQFTs and
  Brackets, Cobrackets, and Double Brackets in the World of Loops

• Helen Wong, Carleton College
  Representations of Kauffman Bracket Skein Algebras of a Surface

2019

• Jonathan Barmak, Universidad de Buenos Aires
  The Winding Invariant and the Andrews-Curtis Conjecture

• Ruth Charney, Brandeis University
  Beyond Hyperbolicity: Boundaries of Non-Hyperbolic Spaces

• Steve Ferry, Rutgers University and Binghamton University
  Counterexamples to the Bing-Borsuk Conjecture

• Dave Futer, Temple University
  Special Covers of Alternating Links

• Anthony Genevois, Université d'Orsay
  Cubical Geometry of Braided Thompson's Group brV

• Chris Kapulkin, University of Western Ontario
  Homotopy Type Theory and Internal Languages of Higher Categories

• Alexander Kupers, Harvard University
  Diffeomorphisms of Disks

• Mona Merling, University of Pennsylvania
  Equivariant h-Cobordisms and Algebraic K-Theory

• Alan Reid, Rice University
  Profinite Rigidity

• Inna Zakharevich, Cornell University
  Quillen's Devissage in Geometry

2020

Festival cancelled due to COVID-19 crisis.

2021

• Agnes Beaudry, University of Colorado Boulder
  Homotopy theory and phases of matter

• Lvzhou Chen, University of Texas, Austin
  Stable torsion length

• Jeremy Hahn, Massachusetts Institute of Technology
  Manifolds with at most three homology groups

• Sebastian Hensel, University of Munich
  Rotation Sets and Fine Curve Graphs

• Sarah Koch, University of Michigan
  Exploring Dynamical Moduli Spaces

• Kate Ponto, University of Kentucky
  Mortia equivalence and traces (and induction for characters and Euler characteristics for fibrations and ....)

• Manuel Rivera, Purdue University
  A quadratic equation which determines the fundamental group

• Federico Rodriguez Hertz, Pennsylvania State University
  Rigidity via potentials

• Nick Salter, Columbia University
  Topology of strata of translation surfaces: an unfortunately comprehensive survey

• Richard Schwartz, Brown University
  The spheres of Sol

• Matthew Stover, Temple University
  A geometric characterization of arithmeticity

• Steve Trettel, Stanford University
  What do 3-manifolds look like?

2022

Tarik Aougab, Haverford College

Detecting covers, simple closed curves, and Sunada's construction

Ian Biringer, Boston College

The space of subgroups of PSL(2,R) 

Aaron Calderon, Yale University

Long curves on hyperbolic surfaces 

Josh Greene, Boston College

Peg problems

Sara Maloni, University of Virginia

d-Pleated Surfaces 

Dusa McDuff, Barnard College

Symplectic embeddings and recursive patterns 

Arpon Raksit, Massachusetts Institute of Technology

Motivic filtrations on topological Hochschild homology 

Emily Riehl, Johns Hopkins University

Absolute lifting diagrams and formal category theory 

Genevieve Walsh, Tufts University

Planar boundaries and parabolic subgroups 

Jenny Wilson, University of Michigan

The high-degree rational cohomology of the special linear group 

2023

David Gay, University of Georgia

On the smooth mapping class group of the 4-sphere 

Robert E. Gompf, University of Texas at Austin

Contact and Engel Topology 

Thomas Haettel, IUT Montpellier

Group actions on injective metric spaces 

Jean Lafont, Ohio State University

Cubulating strict hyperbolizations 

Maggie Miller, Stanford University

Slice obstructions from genus bounds in definite 4-manifolds 

Paige North, University of Pennsylvania

The univalence principle 

Margaret Symington , Mercer University

From K3 surfaces to spheres and back 

Liam Watson, University of British Columbia

Khovanov homology and Conway sphere 

2024

Martin Bridson, Oxford University

Profinite rigidity, Grothendieck Pairs, and finiteness properties 

Bruno Martelli, Università di Pisa

Negatively curved spaces obtained via branched coverings over a torus 

Viktor Ginzburg, University of California, Santa Cruz

Topological Entropy of Hamiltonian Systems and Persistence Modules 

Eugenia Cheng, School of the Art Institute of Chicago and City, University of London

The Eckmann–Hilton argument in higher dimensional category theory 

Rhiannon Griffiths, Cornell University

The Homotopy Types of Higher Categories 

Morgan Weiler, Cornell University

Anchored symplectic embeddings of four-dimensional toric domains 

Ina Petkova, Dartmouth

Spectral GRID invariants and Lagrangian cobordisms 

Kasia Jankiewicz, University of California Santa Cruz

Profinite properties of Artin groups 

Noel Brady, University of Oklahoma

Isoperimetric inequalities and pushing fillings 

Nathan Dunfield, University of Illinois Urbana-Champaign

Counting essential surfaces in 3-manifolds 

2025

Irina Bobkova, Texas A&M University

Chromatic homotopy theory 

Ishan Levy, University of Copenhagen

The telescope conjecture and algebraic K-theory 

Tyler Lawson, University of Minnesota

A duality approach to constructing stable homotopy types 

Liam Keenan, Brown University

Rethinking the Taylor tower of TC 

Dan Cristofaro-Gardiner, University of Maryland

Quasimorphisms and the group of area-preserving diffeomorphisms of the disc 

Damian Osajda, University of Wroclaw

Rigidity and Classification Results for Large-Type Artin Groups

Macarena Arenas, Cambridge University

The cubical route to understanding Artin groups 

Nicholas Vlamis, City University of New York

Large-scale geometry of abstract groups

Kathryn Mann, Cornell University

Recent developments in pseudo-Anosov flows 

Jeremy Kahn, Brown University

Good pants, good feet, good matching, can make good surfaces 

2026

Samantha Allen, Duquesne University

Knot primality using classical and Floer-theoretic methods 

Thomas Brazelton, Harvard University

Symmetry and solvability in enumerative geometry

Corey Bregman, Tufts University

The prime decomposition fiber sequence of a reducible 3-manifold

Danny Calegari, University of Chicago

A tale of two Cannons

Dawei Chen, Boston College

Topology of moduli spaces of differentials

Jingyin Huang, Ohio State University

Exotic aspherical 4-manifolds

Chris Leininger, Rice University

Surface bundles and hyperbolic geometry (Oliver Club)

Atoroidal surface bundles (Plenary)

Rohini Ramadas, Emory University

Outer Space, Handlebodies, and Tropical Moduli Spaces

Kirsten Wickelgren, Duke University

Gromov–Witten invariants in Hermitian K-theory