Texas Geometry and Topology Conference

Serving the Mathematical Community since 1989


Summary of Previous Meetings

National speakers are indicated by (*)

Meetings Index

Meeting 1: University of Houston, March 10-12, 1989

Jeff Cheeger*, State University of New York, Stony Brook
Complete manifolds of bounded curvature and finite volume

S. S. Chern*, University of California, Berkeley
Dupin submanifolds

L. Zhiyong Gao, Rice University
Convergence theorems for Riemannian manifolds

Robert Gompf, The University of Texas, Austin
Topology of algebraic surfaces

Robert Hardt, Rice University
Symmetric and asymmetric harmonic maps

Jon Pitts, Texas A&M University
Applications of geometric variational methods in the large

Karen Uhlenbeck, The University of Texas, Austin
Non-minimal solutions to Yang-Mills equations


Meeting 2: University of Texas, Austin, December 1-3, 1989

Jaigyoung Choe, Rice University
Isoperimetric inequality, index and stability of a minimal surface

Ezra Getzler*, Massachusetts Institute of Technology
Analysis on loop groups

Robion Kirby*, University of California, Berkeley
Witten-Reshetikin-Turaev invariants of 3-manifolds

Raymond Lickorish, Visiting The University of Texas, Austin
3-manifold invariants from the combinatorics of the Jones polynomial

Frank Quinn*, Virginia Polytechnic Institute and State University
Gromov convergence of stratified sets

Michael Wolf, Rice University
Harmonic maps and Teichmuller theory

Phillip Yasskin, Texas A&M University
The diffeomorphism group as a partial indirect product


Meeting 3: Rice University, March 30 - April 1, 1990

David Bao, University of Houston
The geometric origin of a highly degenerate Monge-Ampere equation

Robert Bryant*, Duke University
Twistors and holonomy

Robin Forman, Rice University
Torsion and a theorem of Milnor

Dan Freed, The University of Texas, Austin
Finite quantum field theories

Cameron Gordon, The University of Texas, Austin
Dehn surgery

Reese Harvey, Rice University
Chern currents

Shangyu Ji, University of Houston
Kähler currents on compact complex manifolds

Leon Simon*, Stanford University
Asymptotics near singular points


Meeting 4: North Texas State University, November 6-8, 1990 (American Mathematical Society, Regional Meeting, Special Session)

Ara Basmajian, University of Oklahoma
The orthogonal spectrum of a hyperbolic manifold

Charles P. Boyer, University of New Mexico
The hyperkähler geometry of instanton moduli

A. Delshams, University of Barcelona
R. de la LLave, University of Texas, Austin
Convergent perturbation theories for volume preserving flows and maps

Reinhard O. W. Franz, University of Bielefeld
Counting periodic tilings of the plane

Brian Kasper, University of Texas, Austin
Examples of symplectic structures of fiber bundles

Daniel P. Lathrop, University of Texas, Austin
The observation of saddle periodic orbits in physical systems

Terry Lohrenz, Rice University
Determinants on CR manifolds

Benjamin M. Mann, University of New Mexico
The total Chern class is an infinite loop

R. Daniel Mauldin, University of North Texas
Topological properties of some attractors for cylinder maps

Alec Norton, University of Texas, Austin
The Denjoy problem in two dimensions

Thomas Otway, University of Texas, Austin
Karen Uhlenbeck, University of Texas, Austin
The p-Yang-Mills equations

Johan Röde, University of Texas, Austin
The gradient flow for the Yang-Mills functional in two and three
dimensions

Daniel B. Swearingen, Rice University
On the geometry of the moduli space of flat tori

Marty Ross, Rice University
Schwarz' P-surface is stable

Daniel S. Silver, University of South Alabama
Growth rates and knots

Laurette S. Tuckerman, University of Texas, Austin
Bifurcation analysis of the Eckhaus instability

S. Walter Wei, University of Oklahoma
Some quasilinear systems with a lack of ellipticity

Susan G. Williams, University of South Alabama
Lattice invariants for sofic shifts


Meeting 5: Texas A&M University, April 12-14, 1991

Ilya Bakelman, Texas A&M University
Hypersurfaces with prescribed mean curvature in Riemannian spaces

Tim Cochran, Rice University
Homology cobordism and links

Robert Gompf, University of Texas, Austin
Irreducible 4-manifolds need not be complex

Paul Goodey, University of Oklahoma
Radon transforms and the geometry of convex sets

Richard Schoen*, Stanford University
Some new applications of harmonic maps to rigidity problems

Stephen Semmes, Rice University
A generalization of Riemann mappings to several complex variables

Peter Stiller, Texas A&M University
On the geometry and arithmetic of elliptic surfaces

Clifford Taubes*, Harvard University
Stable uniformization of 4-dimensional manifolds


Meeting 6: University of Texas, Austin, October 18-20, 1991

David Bao, University of Houston
A Harnack inequality for the p-Laplacian diffusion equation

Michael Freedman*, University of California at San Diego
From annulus conjecture to signal processing

John Hempel, Rice University
Positive diagrams for 3-manifolds

Ben Mann, University of Texas, Austin
The topology of moduli spaces and the Atiyah-Jones conjecture

Dusa McDuff*, New York University
Pseudo-holomorphic curves in symplectic 4-manifolds

Karen Uhlenbeck, University of Texas, Austin
Global analysis: a subject before its time?

Tom Vogel, Texas A&M University
Capillary surfaces in wedges and cones


Meeting 7: The University of Houston, February 7-9, 1992

Dan Burns*, University of Michigan
Development maps in CR and complex hyperbolic geometry

S. S. Chern*, University of California at Berkeley
Closed W-surfaces

Mike Field*, Sydney University
Geometric and topological methods in the analysis of symmetry breaking

Robin Forman, Rice University
Spectral sequences via harmonic forms

Dan Freed, University of Texas, Austin
Variations on the Chern-Simons form

Shanyu Ji, University of Houston
Currents, metrics and Moishezon manifolds

Robert Kusner*, University of Massachusetts
The geometry of constant mean curvature surfaces

Sheldon Newhouse*, University of North Carolina
Symbolic dynamics in low-dimensional systems

Chris Pope, Texas A&M University
W-algebras and W-strings

Leon Simon*, Stanford University
The singular set of minimal surfaces and harmonic maps


Meeting 8: San Antonio, Texas, January 13-16, 1993 (American Mathematical Society, Winter Meeting, Special Session)

James W. Anderson, Rice University
Intersections of topologically tame Kleinian groups

Dave Auckly, University of Texas, Austin
Topological methods to compute Chern-Simons invariants

J. Scott Carter, University of South Alabama
Masahico Salto, University of Texas, Austin
Movie diagrams and simplex equations

Edward G. Dunne, Oklahoma State University
Twistor theory for indefinite Kähler manifolds

Mario Eudave-Muñoz, Ciudad University, Mexico
Non-hyperbolic manifolds obtained by Dehn surgery on an hyperbolic knot

Dana S. Fine, University of Massachusetts
Chern-Simons theory via path integrals

Patrick M. Gilmer, Louisiana State University
Floppy curess and applications to nonsingular real algebraic curves

William C. Jagy, Midwestern State University
Classifying sphere-foliated CMC submanifolds of space forms

Amelia C. Jones, University of Oregon
Two-generator links

Kerry N. Jones, University of Texas, Austin
Alan W. Reid, University of Texas, Austin
Nonsimple geodesics in hyperbolic 3-manifolds

Edward C. Keppelmann, Texas A&M University
The Nielson theory of fibrations

Georgi Kamberov, Rice University
Initial boundary value problems for the Ricci flow

Guojun Liao, University of Texas, Arlington
Volume preserving diffeomorphisms of a manifold with boundary

Robert McLean, Texas A&M University
Recent results in the holonomy manifolds with an affine connection

Sassan Mohseni, University of Dallas
Continuity of the Liouville form of metrics of non-positive curvature

Chris L. Morin, University of Texas, Austin
Homotopy unknotting number

Max Neumann-Coto, University National Autonoma de Mexico, Mexico
Least area tori in 3-manifolds

Ken Richardson, Rice University
Critical points of the determinant of the Laplace operator

Edith Starr, Rice University
Curves in the boundary of a handlebody

Ying-Quing Wu, University of Texas, Austin
Unlinked graphs in 3-manifolds


Meeting 9: Rice University, April 16-18, 1993

Mark Brittenham, University of Texas, Austin
Essential laminations in non-Haken 3-manifolds

Huai-Dong Cao, Texas A&M University
Harnack estimates for heat flows

Yakov Eliashberg*, Stanford University
Topology of 2-knots and symplectic geometry

Rick Litherland, Louisiana State University
Numerical invariants for knotted graphs

Howard Masur*, University of Illinois, Chicago
A random walk on the mapping class group and the boundary of
Teichmuller space

Matthew Nicol, University of Houston
Detecting the symmetry of attractors: an approach based on ergodicity

Amy Radunskaya, Rice University
Detecting geometric and statistical properties of attractors

Walter Wei, University of Oklahoma
p-harmonic maps with applications to topology geometry, and PDE's

Shiah-Sen Wang, Rice University
Energy minimizing sections of bundles

John Zweck, Rice University
Chern currents of singular connectins associated with a compactified bundle


Meeting 10: Texas A&M University, October 22-23, 1993 (American Mathematical Society, Regional Meeting, Special Session)

James Anderson, Rice University
Defects of Schottky groups

Dave Auckly, University of Texas, Austin
An irreducible homology sphere which is not Dehn

T. David Hendricks, Texas A&M University
Existence of hypersurfaces of prescribed mean curvature

Paulo Lima-Filho, Texas A&M University
Algebraic cycles as a topological group functor

Terry Lohrenz, Rice University
The spectrum of the number operator in path space

Lorenzo Sadun, University of Texas, Austin
Moduli of singular Yang-Mills fields

Yoshi Tonegawa, Rice University
Complete constant mean curvature surfaces in hyperbolic space

Karen Uhlenbeck, University of Texas, Austin
Dipole solutions to the meron problem

Louis Zulli, Rice University
A matrix for computing the Jones polynomial of a knot


Meeting 11: University of Texas, April 15-17, 1994

Martin Betz, University of Texas, Austin
Symplectic Floer homology operations

Robert Fintushel*, Michigan State University
2-spheres and the Donaldson series

Martin Golubitsky, University of Houston
Symmetry attractors

Ruth Gornet, Texas Tech University
Spectral geometry on Riemannian nilmanifolds

James Milgram*, University of New Mexico
The geometry of instanton moduli spaces on spheres
and ruled surfaces

Dan Pollack, Mathematical Sciences Research Institute
Singular Yamabe metrics and constant mean curvature

Richard Stong, Rice University
Topological embeddings of 2-spheres in 4-manifolds

Panel Discussion: Undergraduate research
Moderator: Hugo Rossi*, University of Utah
Murad Ozaydin, University of Oklahoma
Alice Underwood, University of North Texas
Phil Yasskin, Texas A&M University


Meeting 12: Texas A&M University, November 11-13, 1994

Andrew Casson*, University of California, Berkeley
A possible approach to the geometrization conjecture

Davide Cervone*, The Geometry Center
The National Science and Technology Research Center for Computation and Visualization of Geometric Structures: a postdoc's perspective

Dan Freed, University of Texas, Austin
Late breaking news in gauge theory

Robert Gompf, University of Texas, Austin
Cutting and pasting symplectic manifolds

Richard Hamilton*, University of California, San Diego
Problems on the Ricci flow on 3-manifolds

Shanyu Ji, University of Houston
On Riemann's mapping problem

Blaine Lawson*, SUNY at Stony Brook
On moving families

Jean Taylor*, Rutgers University
Crystalline surface diffusion

DaGang Yang, Tulane University
Bounded harmonic forms on complete manifolds


Meeting 13: Rice University, April 7-9, 1995

Pawel Gajer, Texas A&M University
A geometric interpretation of smooth Deligne cohomology

Cameron Gordon, University of Texas, Austin
Which knot has the most exceptional surgeries?

Steve Hurder*, University of Illinois, Chicago
Coarse chaos

Tom Mrowka*, California Institute of Technology
The Seibert-Witten equations and the topology of four-manifolds

Efton Park, Texas Christian University
Index theory on odd-dimensional manifolds

Vern Paulsen, University of Houston
Von Neumann's inequality, completely bounded maps, and the
Caratheodory and Kobayashi metrics

William Veech, Rice University
Delaunay partitions

Panel Discussion: Helping minorities and first generation collegians
succeed in freshman mathematics

Moderator: Uri Treisman, University of Texas, Austin
Nancy King, Texas Southern University
Cynthia Lanius, Milby High School, Houston


Meeting 14: University of Texas, Austin, November 10-12, 1995

Mike Anderson*, State University of New York, Stony Brook
Scalar curvature and geometrization for 3-manifolds

Francis Bonahon*, University of Southern California
Hyperbolic convex hulls

Jim Cannon*, Brigham Young University
Recognizing constant curvature groups from planar
subdivision rules

Mike Freedman*, University of California, San Diego
A nilpotent classification of closed 3-manifolds

Jon Pitts, Texas A&M University
Computing least area hypersurfaces spanning arbitrary boundaries

David Morrison*, Duke University
Supersymmetric maps and the topology of Calabi-Yau manifolds

Hyam Rubinstein*, University of Melbourne
Singular incompressible surfaces in 3-manifolds


Meeting 15: University of Houston, February 23-25, 1996

S. S. Chern*, Mathematical Sciences Research Institute
Welcoming Remarks

Robert Bryant*, Duke University
The geometry of Finsler surfaces of constant curvature

Jeff Cheeger*, Courant Institute
Manifolds with Ricci curvature bounded below

Reese Harvy, Rice University
Atomic sections and Chern currents

Min Ru, University of Houston
On the Gauss map of minimal surfaces in n-dimensional Euclidean
space

Lorenzo Sadun, University of Texas, Austin
Aperiodic tiling and pinwheel geometry

Ying Shen, Texas A&M University
Rigidty of stable minimal hypersurfaces

Zhongmin Shen*, I.U.P.U.I.
Topology of complete manioflds with non-negative
Ricci curvature

Special Presentation: Teaching ODE's using new technology
John Polking, Rice University
Martin Golubitsky, University of Houston


Meeting 16: Rice University, October 11-13, 1996

Mladen Bestvina*, University of Utah
Homotopy hyperbolic 3-manifolds are hyperbolic

Huai-Dong Cao, Texas A&M University
Two theorems of Bernstein type

Toby Colding*, New York University
Weyl type bounds for harmonic functions

Fanghua Lin*, University of Chicago
Harmonic and quasi-harmonic spheres

Robert Meyerhoff*, Boston College
Homotopy hyperbolic 3-manifolds are hyperbolic

Alan Reid, University of Texas, Austin
Closed essential surfaces in bounded 3-manifolds

Richard Stong, Rice University
A maximally contractive map from Z2 to Z3

Karen Uhlenbeck, University of Texas, Austin
Two interesting geometric evolution equations


Meeting 17: Texas Christian University, February 7-9, 1997

Robin Forman, Harvard University and Rice University
Combinatorial differential topology and geometry

Claude LeBrun*, SUNY Stony Brook
On 4-dimensional Einstein manifolds

Paulo Lima-Filho, Texas A&M University
Generating functions for Euler-Chow invariants of projective varieties

Darryl McCullough, University of Oklahoma
Diffeomorphisms of 3-manifolds

Kate Okikiolu*, MIT and Princeton University
The determinant of the Laplacian for 3-manifolds

Jonathan Rosenberg*, University of Maryland
Secrets of the signature operator

Gerard Walschap, University of Oklahoma
Metric fibrations in spaces of nonnegative curvature

Xingru Zhang, Oklahoma State University
Virtual Haken Dehn surgery on knots in reducible 3-manifolds

Panel Discussion: Research Experiences for Undergraduates
Ara Basmajian, University of Oklahoma
George Gilbert, Texas Christian University
Rhonda Hatcher, Texas Christian University


Meeting 18: Rice University, November 14-16, 1997

Tim Cochran, Rice University
Finite type invariants for 3-manifolds

John Lott*, University of Michigan
Spinors and collapsing

Mikhail Lyubich*, SUNY Stony Brook
Hyperbolic laminations associated with rational maps

John Millson*, University of Maryland, College Park
On representation varieties of Artin groups, projective arrangements, and the fundamental groups of smooth complex varieties

Dennis Sullivan*, CUNY Graduate Center and SUNY Stony Brook
On the smooth continuum model used in geometry
and the natural sciences

Abby Thompson*, University of California, Davis
Two parameter graphics for 3-manifolds and knots

Shmuel Weinberger*, University of Chicago
Arithmetic groups and variational problems for Riemannian manifolds


Meeting 19: University of Houston, April 24-26, 1998

Doug Bullock*, University of Maryland
Lattice gauge field theory and quantum invariants

Marcus Cohen*, New Mexico State University
Quadrispin geometry and the dynamics of a unified field

John Oprea*, Cleveland State University
Differential geometry, computers and today's science majors

Lorenzo Sadun, University of Texas
Parallel bundles and symmetric spaces

Barbara Shipman*, University of Rochester
The geometry of the honeybee's dance language

Barbara Shipman*, University of Rochester
Convex polytopes and momentum mappings in the geometry of generalized flag manifolds: a physical interpretation and connections with honeybee

Barbara Shipman*, University of Rochester
Convex polytopes and torus actions on generalized flag manifolds in
the geometry of a completely integrable dynamical system

Jian Zhou, Texas A&M University
Equivariant cohomology, localization and applications


Meeting 20: University of Texas, Austin, October 16-18, 1998

Dave Auckly*, Kansas State University
The geometry of balance

Helmut Hofer*, Courant Institute
The concept of energy in symplectic geometry

Jacques Hurtubise*, McGill University
Integrable systems and surfaces

Sheldon Katz*, Oklahoma State University
Singularities and string theory

Ken Stephenson*, University of Tennessee
A "regular" pentagonal tiling of the plane

Margaret Symington, University of Texas at Austin
Sympletic rational blowdowns

Jon Wolfson*, Michigan State University
The Plateau problem for Lagrangian surfaces


Meeting 21: Texas Tech University, February 26-28, 1999

Jim Anderson*, University of Southampton and Rice University
Locally free Kleinian groups and hyperbolic manifolds

Charles Boyer*, University of New Mexico
Einstein manifolds via contact geometry

Tanya Christiansen*, University of Missouri - Columbia
Spectral theory for some noncompact manifolds

Patrick Eberlein*, University of North Carolina - Chapel Hill
Geometry of two-step nilpotent Lie groups

Sergio Fenley*, Washington University in St. Louis
Immersed surfaces transverse to pseudo-Anosov flows and virtual fibers

Peter Petersen*, University of California - Los Angeles
The Hitchin-Thorpe inequality for noncompact 4-manifolds

Ken Richardson, Texas Christian University
Group actions and the heat equation

Lisa Traynor*, Bryn Mawr
Legendrian Tangles


Meeting 22: Texas A&M University, November 12-14, 1999

Dan Freed, University of Texas at Austin
Actions and anomalies

Bong Lian*, Brandeis University
Potential function of a Calabi-Yau threefold

Rafe Mazzeo*, Stanford University
Singular Monge-Ampere equations and critical exponent problems

Bill Minicozzi*, Johns Hopkins University
Embedded minimal tori in 3-manifolds and applications

Stephen Semmes, Rice University
Quasi-minimizing surfaces and applications to sets with topological
nondegeneracy

Ron Stern*, University of California, Irvine
Surfaces in smooth and symplectic -manifolds

Chuu-Lian Terng*, Northeastern University
Geometry of the n-wave equation

Gang Tian*, MIT
Kähler Ricci solitons


Meeting 23: University of Texas, Austin, February 25-27, 2000

Danny Calegari*, University of California, Berkeley
Taut foliations with one-sided branching

Bob Edwards*, University of California, Los Angeles
Compact non-Lie group actions

Bob Gompf, University of Texas, Austin
Topologically characterizing symplectic manifolds

John Hempel, Rice University
Stack intersection numbers as a measure of complexity for splittings
of 3-manifolds

Steve Kerckhoff*, Stanford University
A priori bounds for hyperbolic Dehn surgery

Hyam Rubinstein*, University of Melbourne and Stanford University
Recognizing bundle covers of some 3-manifolds

Peter Teichner*, University of California, San Diego
A survey on von Neumann signatures

Constantin Teleman, University of Texas at Austin
Quantization of the Hitchin system


Meeting 24: Rice University, November 10-12, 2000

Chris Connell*, University of Illinois, Chicago
Bounding the degree of maps

Misha Kapovich*, University of Utah
Periods of abelian differentials and dynamics

Tao Li, The University of Texas, Austin
Laminar branched surfaces in 3-manifolds

Kefeng Liu*, Stanford University
Heat kernel, symplectic geometry, moduli spaces, and finite groups

Nikolai Nadirashvili*, University of Chicago
Critical points of eigenfunctions

Andrei Okounkov*, University of California, Berkeley
Random trees and moduli of curves

Karen Vogtmann*, Cornell University
The geometry of spaces of finite trees

Jian Zhou*, M.I.T.
Vertex algebras in differential geometry


Meeting 25: Texas Christian University, February 23-25, 2001

Ara Basmajian, University of Oklahoma
A generic geometric property of constant curvature 3-manifolds

Phil Bowers*, Florida State University
Computing conformal structures of curved surfaces

Leonid Friedlander*, University of Arizona
The differential invariant related to the first value of the Laplacian

Razvan Gelca, Texas Tech University
Kauffman bracket skein modules and character varieties

Franz Kamber*, University of Illinois, Champaign-Urbana
Equivariant dimensional reduction and the Bott-Borel-Weil theorem

John Roe*, The Pennsylvania State University
Topological implications of amenability

Machiel van Frankenhuysen*, Rutgers University
The ABC Conjecture implies Vojta's height inequality for curves

Frederico Xavier*, University of Notre Dame
Some geometric and analytical questions relating to global injectivity


Meeting 26: Texas A&M University, November 2-4, 2001

Luis Caffarelli, University of Texas, Austin
Plane-like minimal surfaces in periodic media, and related problems

Richard Hamilton*, Columbia University and University of California,
Irvine
Geometric estimates for the logarithmic porous medium equation

Robert Hardt, Rice University
Bubbling, bubbles, and scans

Gerhart Huisken*, University of Tuebingen
Neck pinching in mean curvature flow

Paulo Lima-Filho, Texas A&M University
Twisted multiplicative transfers and characteristic classes

Kefeng Liu*, University of California, Los Angeles
Mathematical results inspired by physics

Paul Yang*, Princeton University
Conformal invariants and a sphere theorem


Meeting 27: Texas Tech University, April 5-7, 2002

Ivan Avramidi, New Mexico Institute of Mining and Technology
Heat kernel asymptotics

Peter Buser*, Ecole Polytechnique Federale de Lausanne
Spectral rigidity of Fuchsian groups of small signature

Lisa DeMeyer, Oklahoma State University
Geodesics in nilpotent groups

Stephen Fulling, Texas A&M University
Making quantization and pseudodifferential operators geometrically
correct


Rob Kusner*, University of Massachussets, Amherst
Tying knots with spaghetti

Ernesto Lupercio*, University of Wisconsin, Madison
Orbifolds, gerbes, and Deligne cohomology

Liviu Nicolaescu*, University of Notre Dame
Seiberg-Witten invariants and surface singurlarities

Peter A. Perry*, University of Kentucky, Lexington
Determinants of Laplacians, scattering poles, and isopolar sets of
Riemann surfaces


Meeting 28: University of Texas, Austin, October 11-13, 2002

Jean Pierre Bourguignon*, Institut des Hautes Etudes Scientifiques
Improved Kato inequalities and geometric applications

Steven Bradlow*, University of Illinois at Urbana-Champaign
Moduli spaces of augmented bundles: theory and practice

Philip Candelas, University of Texas, Austin
Zeta function for the quintic threefold

Antonella Grassi*, University of Pennsylvania
Geometry of large N-dualities

Takashi Kimura*, Boston University and Institute for Advanced Study
On integrable systems and cohomological field theories

Rick Schoen*, Stanford University
Yamabe invariants of three manifolds

Jalal Shatah*, Courant Institute of Mathematical Sciences
Geometric dispersive equations

Clifford Taubes*, Harvard University
Instabilities and interquark forces


Meeting 29: University of Houston, February 21-23, 2003

Michael Gage*, University of Rochester
Minkowski geometry, curve shortening, and flow by weighted mean curvature

Roland Glowinski, University of Houston
Numerical methods for the Dirichlet problem for the two-dimensional elliptic Monge-Ampere equation: from augmented Lagrangians to incompressible Navier-Stokes equations solution methods

Brendan Hassett, Rice University
Flipping the moduli space of curves

Tamas Hausel, The University of Texas at Austin
Mirror symmetry, Langlands duality, and representations of finite groups of Lie type

Jacob Sturm*, Rutgers University,
Scalar curvature and Deligne pairing

Jiaping Wang*, University of Minnesota
Geometry and topology of manifolds with positive spectrum

Pit-Mann Wong*, Univeristy of Notre Dame
p-adic Monge-Ampere equations and related problems


Meeting 30: Rice University, October 31-November 2, 2003

Daniel Allcock, The University of Texas at Austin
The fundamental group of the space of smooth cubic surfaces

Richard Kenyon*, Universit'e Paris-Sud and Princeton University
Asymptotics of random discrete interfaces

Peter Ozsv'ath*, Columbia University
Geometric transitions and integrable systems

Tony Pantev*, University of Pennsylvania
Floer homology and Dehn fillings

Mihnea Popa*, Harvard University
Asymptotic intersection numbers and restricted volumes

Jason Starr*, M.I.T.
Sections of algebraic fibrations

Genevieve Walsh, The University of Texas at Austin
Some examples of virtually Haken and virtually fibered 3-manifolds

Mu-Tao Wang*, Columbia University
Mean curvature flows of Lagrangian submanifolds


Meeting 31: Texas Christian University, February 27-29, 2004

Cameron Gordon, The University of Texas at Austin
Knots with unknotting number 1

James Heitsch*, University of Illinois, Chicago
Index theory and non-commutative geometry

Theron J. Hitchman, Rice University
Rigidity of weakly hyperbolic standard actions of lattices in rank one
Lie groups on nilmanifolds

John Lott*, University of Michigan
Towards a synthetic notion of Ricci curvature

Stephen Semmes, Rice University
Happy fractals

Krishnan Shankar*, University of Oklahoma
Spherical rank rigidity and Blaschke manifolds

Mikhail Shubin*, Northeastern University
Spectral properties of Schrödinger operators

Magdalena Toda, Texas Tech University
Lorentz conformal structures and the wave equation


Meeting 32: Texas A&M University, October 29-31, 2004

Charles Boyer*, University of New Mexico
Einstein metrics on spheres

Simon Brendle*, Princeton University
The concentration-compactness principle and the Yamabe flow in
conformal geometry

Huai-Dong Cao*, Lehigh University
Second variation of Perelman's entropies and stability of Ricci
solitons

Tobias Colding*, New York University
The Calabi-Yau conjectures for embedded surfaces

Benson Farb*, University of Chicago
Hidden symmetry

Joseph Landsberg, Harvard University/Texas A&M University
On the complexity of matrix multiplication

Chiu-Chu Liu*, Harvard University
Gromov-Witten invariants of toric Calabi-Yau threefolds

Brian White*, Stanford University
New applications of mean curvature flow to minimal surfaces


Meeting 33: Texas Tech University, February 25-27, 2005

Ruth Gornet, University of Texas at Arlington
The length spectrum and isospectrality

Brian Hall*, University of Notre Dame
The range of the heat operator

Klaus Kirsten, Baylor University
Zeta and eta invariants for Dirac operators with Chiral bag boundary conditions

John Sullivan*, Technical University of Berlin
Geometric knot theory

Craig Sutton*, University of Pennsylvania
Methods for constructing isospectral manifolds

Alejandro Uribe*, University of Michigan
Quantizing (non-Kähler) compact symplectic manifolds

V. S. Varadarajan*, University of California at Los Angeles
Super geometry and modern physics

Zhenghan Wang*, Indiana University
Noncommutative geometry and quantum computing


Meeting 34: University of Texas, Austin, September 30-October 2, 2005

David Ben-Zvi, The University of Texas at Austin
Langlands Duality for Representations of Real Lie Groups

George Daskalopoulos*, Brown University
Harmonic maps on singular domains and geometric rigidity

John Etnyre*, University of Pennsylvania
Contact geometry and open book genus

Nancy Hingston*, College of New Jersey
Periodic Solutions of Hamilton's Equations on Tori

Sheldon Katz*, University of Illinois
Donaldson-Thomas invariants of complex projective threefolds

Rafe Mazzeo*, Stanford University
Some linear and nonlinear elliptic problems in higher rank geometries

Dennis Sullivan*, SUNY at Stony Brook
The free loop space of a manifold and the moduli space of Riemann
surfaces

Paul Seidel*, University of Chicago
Khovanov meets Ozsvath-Szabo


Meeting 35: University of Houston, February 17-19, 2006

Robert L. Bryant*, Duke University
Finsler 2-spheres of constant curvature

Brendan Hassett, Rice University
Compact moduli spaces for surfaces of general type

Shanyu Ji, University of Houston
Rigidity problems for proper holomorphic maps between balls

Dan Knopf, The University of Texas at Austin
Ricci flow with surgery, as applied to Poincaré

Zhongmin Shen, NSF and IUPUI
Randers metrics of scalar flag curvature

Yum-Tong Siu, Harvard University
Multiplier ideals – a new technique linking analysis and algebraic
geometry

Shoucheng Zhang, Stanford University
Chern numbers and Chern–Simons terms in physics


Meeting 36: Rice University, October 27-29, 2006

Joan Birman*, Columbia University
Invariants of Heegaard splittings and of 3-manifolds

Elisenda Grigsby*, Columbia University
A combinatorial description of the knot Floer homology of cyclic
branched covers

Richard Hain*, Duke University
Relative weight filtrations on completions of mapping class groups

Ko Honda*, University of Southern California
Reeb vector fields and open book decompositions

Eleny Ionel*, Stanford University
Singular spaces and Gromov-Witten invariants

Mikhail Kovanov*, Columbia University
Braid cobordisms and triangulated categories

Feg Luo*, Rutgers University
Volume and angle structures on 3-manifolds

Daniel Ruberman*, Brandeis University
Periodic Dirac operators and positive scalar curvature on 4-manifolds


Meeting 37: Texas Christian University, March 23-25, 2007

Tara Brendle, Louisiana State University
Wicket groups and ring groups

Richard Canary*, University of Michigan
Introductory bumponomics: deformation theory of Kleinian groups

Christina Sormani*, CUNY Graduate Center and Lehman College
The covering spectrum of a Riemannian manifold

Steve Ferry*, Rutgers University
Higson's compactification and the Novikov Conjecture

Payl Loya*, Binghampton University
Gluing formulas for the spectral invariants of Dirac operators

Greg Friedman, Texas Christian University
Intersection homology and Poincaré duality on homotopically
stratified spaces

J. M. Landsberg, Texas A&M University
Projective rigidity and flexibility of homogeneous varieties

Robin Hartshorne*, University of California, Berkeley
Gorenstein liaison of algebraic varieties


Meeting 38: Texas A&M University, October 19-21, 2007

Simon Brendle*, Stanford University
1/4-pinched manifolds are space forms

Jean-Pierre Demailly*, Université de Grenoble
On compact complex manifolds covered by a torus

Michael Eastwood*, University of Adelaide
The X-ray transform on complex projective space

Yakov Eliashberg*, Stanford University/Columbia University
Orderability of groups of contact transformations and related topics

Dan Freed, University of Texas (Austin)
Remarks on topological field theory

Bruce Kleiner*, Yale University
Bi-Lipschitz embedding in Banach spaces

Ngaiming Mok*, University of Hong Kong
Analytic continuation of local holomorphic maps isometric
with respect to the Bergman metric

Natasa Sesum*, Columbia University
Compactness results for the Kãhler-Ricci flow


Meeting 39: Texas Tech University, February 22-24, 2008

Ian Anderson*, Utah State University
Superposition formulas for differential systems

Ian Anderson*, Utah State University
Differential geometry with Maple

Sun-Yung Alice Chang*, Princeton University
Compactness of conformally compact Einstein manifolds of dimension (3+1)

Vladimir Chernov*, Dartmouth College
Causality and linking in spacetimes

Richard Melrose*, MIT
Adiabatic limits and Morse decomposition

Emma Previato*, Boston University
Theta functions and isospectral manifolds

Ken Richardson, TCU
Desingularizing compact Lie group actions

Colleen Robles, Texas A&M University
Rigidity of projective homogeneous varieties

Adam Sikora*, SUNY Buffalo
Quantizations of character varieties and knot theory


Meeting 40: University of Texas, Austin, October 10-12, 2008

Lewis Bowen*, University of Hawaii
Free subgroups of lattices

Jeff Cheeger*, Courant
Differentiable structures on metric measure spaces

Tom Farrell*, University of Binghampton
The space of negatively-curved metrics on a closed manifold

Joel Hass*, U. C. Davis
Harmonic maps and the stabilization of Heegaard splittings

Chikako Mese*, Johns Hopkins
Harmonic maps in singular spaces

Hossein Namazi, University of Texas at Austin
Splittings, hyperbolic geometry and models

Yi Ni*, MIT and AIM
Dehn surgeries that reduce the Thurston norm of a fibered manifold

Stefano Vidussi*, U. C. Riverside
Twisted Alexander polynomials and fibered 3-manifolds


Meeting 41: University of Houston, February 20-22, 2009

Alexander Bufetov, Rice University
Minimally invasive surgery for Ricci flow singularities

William Cherry, University of North Texas
Explicit sharp upper-bounds on the spherical derivative of maps from the disc into planar domains with spherical symmetries

Michael Field, University of Houston
Resolution and intersection: three problems in equivariant geometry

Shelly Harvey, Rice University
Subgroups of the mapping class group and higher-order signature cocycles

Dan Knopf, University of Texas (Austin)
Minimally invasive surgery for Ricci flow singularities

Joseph Landsberg, Texas A&M University
Geometric approaches to P vs. NP

Kefeng Liu*, UCLA
Recent results on moduli spaces

Bernard Shiffman*, Johns Hopkins
Overcrowding and undercrowding of random zeros on complex manifolds

Yum-Tong Siu*, Harvard University
Multiplier ideal sheaves – an interface between analysis and algebraic geometry


Meeting 42: Rice University, November 6-8, 2009

Danny Calegari*, California Institute of Technology
Faces of the scl norm ball

Rafael de la Llave, University of Texas at Austin
Geometric properties of the scattering map to normally hyperbolic manifolds and applications to instability

Anton Gorodetski*, University of California, Irvine
On quantitative characteristics of Cantor sets and their applications

Rostislav Grigorchuk, Texas A&M University
Ergodicity of boundary actions, Hopf decomposition and Nielsen-Schreier method

Mike Hochman*, Princeton University
Local entropy averages and projection of fractal measures

Mikhail Lyubich*, SUNY at Stony Brook
Two-dimensional rational dynamics and Lee-Yang zeros

Karin Melnick*, University of Maryland
Normal forms for conformal vector fields

William Veech, Rice University
Teichmueller flows and curves and Hecke groups


Meeting 43: Texas Christian University, February 26-28, 2010

Jim Anderson*, University of Southampton
Small filling sets of curves on a surface

Scott Baldridge, Louisiana State University
Cube diagrams: The topology and geometry of knots in 3-dimensions

Tim Cochran, Rice University
The fractal nature of 3-manifolds up to homology cobordism

Emily Dryden*, Bucknell University
Upper bounds on eigenvalues of the laplacian: surfaces and beyond

Carolyn Gordon*, Dartmouth College
Spectral geometry on line bundles over flat tori

Mark Haskins*, Imperial College, London
Special lagrangian cones

Alexander Karabegov, Abilene Christian University
Formal symplectic groupoids

Markus Pflaum*, University of Colorado
Algebraic index theorems for orbifolds

Meeting 44: Texas A&M University, November 12-14, 2010

Gerard Besson*, Université de Grenoble
Collapsing irreducible manifolds with nontrivial fundamental group

Gerard Besson*, Université de Grenoble
The Geometrization Program

Robert Bryant*, MSRI
The affine Bonnet problem

Peter Ebenfelt*, University of California, San Diego
Rigidity of CR mappings into hyperquadrics

Phillip Griffiths*, Institute for Advanced Study
Hodge theory and representation theory

Jun-Muk Hwang*, KIAS, Seoul, Korea
Symmetries of cone structures

Lisa Jeffrey*, Mathematics Department, University of Toronto
Real loci and the based loop group

Chuu-Lian Terng*, UC Irvine
Isometric immersions of hyperbolic manifolds in Euclidean space, revisited

Gunther Uhlmann*, University of Washington, Seattle
Boundary rigidity, lens rigidity and travel time tomography


Meeting 45: Texas Tech University, February 18-20, 2011

Anthony Bloch*, University of Michigan
Geometry of nonholonomic systems

Annalisa Calini*, College of Charleston
Integrable evolution of closed vortex filaments: finite-gap solutions and their linear stability

Jeanne Clelland*, University of Colorado at Boulder
Backlund transformations and Darboux integrability for nonlinear wave equations

Baris Coskunuzer*, Koc University, Turkey
Generic uniqueness of area minimizing disks for extreme curves

Shantanu Dave*, University of Vienna, Austria
Asymptotic analysis of regularizations that know about singularities

Dragos Oprea*, UC, San Diego
The moduli space of stable quotients

Richard Palais*, UC, Irvine
Geometry and computer graphics: partnership, interaction, and challenges

Alexander A. Voronov*, University of Minnesota and IPMU
Higher categories and TQFTs

Meeting 46: University of Texas, Austin, October 7-9, 2011

Mohammed Abouzaid*, MIT
On the Floer theory of compact symmetric manifolds

Mladen Bestvina*, University of Utah
Topology and geometry of Out(Fn).

Mladen Bestvina*, University of Utah
How to solve |x|2-2|y|2 =1 over Gaussian integers

Ursula Hamenstadt*, Universityof Bonn
Disk systems, sphere systems and the geometry of mapping class groups

Çağri Karakurt, University of Texas at Austin
Corks and exotic smooth structures of 4-manifolds

Peter Kronheimer*, Harvard University
Gauge theory and Rasmussen's invariant

Chris Leininger*, University of Illinois at Urbana-Champaign
Short geodesics in moduli space

Vladimir Markovic*, Caltech
Essential surfaces and the simple loop conjecture in higher-dimensional hyperbolic manifolds

Richard Schwartz*, Brown University
The Devil's Pentagram

Meeting 47: University of Houston, February 17-19, 2012

Simon Brendle*, Stanford University
Uniqueness theorems for constant mean curvature surfaces

Rowland Glowinski, University of Houston
On the nodal lines of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in Rn; a computational approach

Gordon Heier, University of Houston
Effective finiteness of deformation types of non-isotrivial families

Tom Mrowka*, MIT
Instantons and their impact on low dimensional topology

Tom Mrowka*, MIT
The arithmetic of homological mirror symmetry

Andrew Putman, Rice University
Representation stability, congruence subgroups, and mapping class groups

Jian Song*, Rutgers University
Geometric surgery by partial differential equations

Susan Tolman*, University of Illinois at Urbana-Champaign
Toric integral geodesics flows in odd dimensions

Igor Zelenko, Texas A&M University
Geometry of filtered structures manifolds: Tanaka's prologation and beyond


Meeting 48: Rice University, November 9-11, 2012

Mathew Bainbridge*, Indiana University
Effective Veech dichotomy and diagonal flows

Tom Church*, Stanford University
Stability in the unstable cohomology of mapping class groups SLn(Z) and Aut(Fn).

Gavril Farkas*, Humboldt University
Classification of universal Jacobians over the moduli space of curves

Samuel Grushevsky*, Stony Brook University
Stable cohomology of the perfect cone toroidal compactification of Ag

Sarah Koch*, Harvard University
An analytic construction of the Deligne-Mumford compactification of the moduli space of curves

Eduard Looijenga*, University of Utrecht
Cohomological amplitude of moduli spaces of curves

Howard Masur*, University of Chicago
Winning sets for Schmidt games, badly approximable real numbers, rational billiards and geodesics in moduli space

Poster Session:

Derek Allums, Rice University, and J. M. Landsberg, Texas A&M University
Border rank of ternary trilinear forms and the j-invariant

Khek Lun Harold Chao*, Indiana University
CAT(0) spaces with boundary the join of two Cantor sets

Hyunjoo Cho*, Sema Salur*, and Firat Arikan*, University of Rochester
Existence of almost contact structures on manifolds with G2-structures

Thanos Gentimis* and Maria Bampasidou*, University of Florida
An algebraic topology model for research and development

Sergii Kutsak*, University of Florida
Essential manifolds with extra structures

Dmitry Zakharov* and Samuel Grushevsky*, Stony Brook University
Partial compactification of the zero section of the universal abelian variety

Letao Zhang (Rice University)
Representation theory and Hilbert schemes of points on K3 surfaces

Meeting 49: University of Texas at Arlington, February 10-12, 2013

Paul Bracken, University of Texas, Pan American
A geometric approach to the study of nonlinear partial differential equations

Gueo Grantcharov*, Florida International University
On the HKT geometry

Sean Paul*, University of Wisconsin, Madison
From semi-stable pairs to K-energy maps of algebraic manifolds

Daniel Ramras*, New Mexico State University
Stable representation theory and families of flat bundles

Julie Rowlett*, Max Planck Institute for Mathematics, Bonn
Dynamics of the geodesic flow on negatively curved complete manifolds

Barbara Shipman, University of Texas at Arlington
New perspectives on classic definitions

Stephen Stolz*, University of Notre Dame
Field theories and cohomology

Joseph Wolf*, University of California at Berkeley
Plancherel forumlae associated to filtrations of nilpotent Lie groups

Joseph Wolf*, University of California at Berkeley
Representations of nilpotent Lie groups

Meeting 50: Texas A&M University, October 11-13, 2013

Andrei Agrachev*, SISSA
Quadratic cohomology

Yakov Eliashberg*, Stanford University
Loose Legendrian knots and their applicaitons

Aliana Fraser, University of British Columbia
Minimal surfaces in the ball and an eigenvalue problem

Mark L. Green*, UCLA
Geometry of Mumford-Tate domains and their closures

Rostislav Grigorchuk, Texas A&M University
On the spaces of groups and subgroups and the concept of invariant random subgroup

Richard Hain*, Duke University
Modular forms and multiple zeta values

Yael Karshon*, University of Toronton
Distinguishing symplectic blowups of the complex projective plane

Laurent Manivel*, Université de Grenoble
The periods of Fano fourfolds of degree ten

Laurent Manivel*, Université de Grenoble
The classification of prime Fano threefolds on index one

Dror Vaolin*, SUNY Stoney Brook
L2 extension and the twisted method

Meeting 51: Texas Tech University, February 14-16, 2014

Richard Hind*, Univeristy of Notre Dame
Symplectic embeddings and isotopies

Thang Le*, Georgia Insititute of Technology
Symplectic embeddings and isotopies

Liviu Nicolaescu*, University of Notre Dame
Random Morse functions on compact manifolds

Peter Olver*, University of Minnesota
Moving frames and theikr applications

Peter Olver*, University of Minnesota
Object recognition, symmetry detection, jigsaw puzzles, and melanomas

Richard Schoen*, Stanford University
Trapped surfaces and MOTS in general relativity

Susan Tolman*, University of Ilinois at Urbana-Champaign
The cohomology of quotients of Hamiltonian loop group spaces

Zhenghan Wang*, Microsoft
Quantum topology and its applications

Igor Zelenko, Texas A&M University
Symplectic methods in local differential geometry of nonholonomic distribution

Meeting 52: University of Texas, Austin, November 14-16, 2014

Danny Calegari*, University of Chicago
  Roots, Schottky semigroups, and a proof of Bandt's Conjecture

Nathan Dunfield*, UIUC
  Random knots: their properties and algorithmic challenges

Benson Farb*, University of Chicago
  The topology of the space of polynomials - Introductory talk

Benson Farb*, University of Chicago}
  The topology of SL(n,OK) - Research talk

J.~Elisenda Grigsby*, Boston College
  (Sutured) Khovanov homology and representation theory

Yair Minsky*, Yale University
  A relative bounded image theorem for skinning maps

Jessica Purcell*, BYU
  Cusp volumes of alternating knots

Rachel Roberts*, Washington University St.~Louis
  Approximating continuous foliations by contact structures

Martin Scharlemann*, UCSB
  The Schönflies Conjecture and its spin-offs

Meeting 53: University of Houston, February 27-March 1, 2015

Cameron Gordon, University of Texas, Austin
  Left-orderability and 3-manifold groups

Alastair Hamilton, Texas Tech University
  Functional integrals and pairing classes in the moduli space of Riemann surfaces

Laura Matusevich (Texas A&M)
  A-hypergeometric solution sheaves

Lei Ni*, UCSD
  Hypersurface flow by the power of the Gauss curvature

Colleen Robles, Texas A&M
  Characteristic cohomology of the horizontal subbundle on flag manifolds and connections to Hodge theory

Mark Stern*, Duke University
  Introduction to nonlinear harmonic forms

Bernd Sturmfels*, UC Berkeley
  Tropical Plane Curves - Introductory talk

Bernd Sturmfels*, UC Berkeley
  The 27 trees on a cubic surface - Advanced talk

Steve Zelditch*, Northwestern
 Plank's constant, time, and stationary states in quantum mechanics

Meeting 54: Rice University, November 6-8, 2015

Stergios Antonakoudis (Cambridge)
The complex geometry of Teichmuller spaces and bounded symmetric domains

Mario Bonk (UCLA)
The quasiconformal geometry of fractals

Mario Bonk (UCLA)
Thurston maps

Marianna Csornyei (University of Chicago)
Kakeya problem for circular arcs

Bruce Kleiner (NYU)
PI spaces: some new examples and open problems

Vlad Markovic (Caltech)
Harmonic maps on hyperbolic spaces

Steffen Rohde (University of Washington)
Random metric spaces and conformal geometry

Christina Sormani (CUNY GC and Lehman College)
Sliced filling volumes and the tetrahedral compactness theorem

Robert Young (NYU)
Quantifying nonorientability and filling multiples of embedded curves

Meeting 55: Texas Christian University, February 19-21, 2016

Christian Bär(University of Potsdam)
An index theorem for compact Lorentzian manifolds with boundary

Ruth Charney (Brandeis University)
Finding hyperbolic-like behavior in non-hyperbolic spaces

David Damanik (Rice University)
Almost periodicity in time of solutions of the KdV equation

Jonathan Hauenstein (University of Notre Dame)
Numerical computations in geometry

Tara Holm (Cornell University)
The topology of symplectic manifolds

Alejandro Uribe (University of Michigan)
Semiclassical quantum states associated to isotropic submanifolds of phase space: their calculus and applications

Guoliang Yu (Texas A&M University)
Dimension and K-theory

Meeting 56: Texas A&M University, November 6-8, 2016

Anna Marie Bohmann (Vanderbilt)
Constructing equivalent cohomology

Robert Hardt (Rice University)
Some analytic properties of singular spaces described by special classes of chains and cochains

Vaughn Jones (Vanderbilt)
Knots and the Thompson groups

Vaughn Jones (Vanderbilt)
On some unitary representations of the Thompson groups

Niky Kamran (McGill)
Lorentzian Einstein metrics with prescribed conformal infinity

Shrawan Kumar (UNC Chapel Hill)
Verlinde dimension formula for the space of conformal blocks and the moduli of G-bundles

Shrawan Kumar (UNC Chapel Hill)
Representation ring of Levi subgroups versus ring of flag varietis

Rafe Mazzeo (Stanford University)
QFB geometry and the Hitchin moduli space

Emmy Murphy (MIT)
Legendrian knots and affine varieties

Thomas Schick (U. Goettingen)
Obstructions to positive scalar curvature via submanifolds of different codimension

Meeting 57: Texas Tech University, February 17-19, 2017

Jeff Dormeister (Duke University)
Harmonic maps from Riemann surfaces to k-symmetric spaces via loop groups values

David Gabai (Princeton University)
Maximal cusps of low volume

Ryan Grady (Montana State University)
Topological invariants via local-to-global constructions of QFT

Eleny Ionel (Stanford University)
The Gopakumar-Vafa Conjecture for symplectic manifolds

Irena Kogan (Duke University)
Jacobians with prescribed eigenvectors

Jeff Lagarias (University of Michigan)
Configuration spacs and materials science

William Meeks (University of Massachusets at Amherst)
Recent progress in the theory of constant mean curvature surfaces

Peter Petersen (UCLA)
The Alekxeevsky conjecture


For additional information about past and future Texas Geometry and Topology Conferences, you may contact Jon Pitts.
Last modified: October 20, 2017