Organizing Committee
- Tarik Aougab
Brown University - Mladen Bestvina
University of Utah - Jeffrey Brock
Brown University - Eriko Hironaka
Florida State University - Johanna Mangahas
University of Buffalo
Abstract
The recent proof of Thurston's virtual fibering conjecture brought together tools at the forefront of geometric group theory, dynamics, and hyperbolic geometry. We still lack, however, an effective or constructive understanding of three-dimensional hyperbolic geometry, and more generally, 3-manifold topology. For example, a closed hyperbolic 3-manifold admits a finite cover which fibers over the circle, but can one construct such a cover from a presentation of the fundamental group? Can one implement an algorithm -- perhaps with the help of preexisting software such as SnapPea -- to obtain such a cover?
While much work remains, both computation and theory have progressed. Fast algorithms have been developed for running computations in the mapping class group and other finitely generated groups, as well as for recognizing certain types 3-manifolds and knot and link complements up to homeomorphism. These have been supplemented by a new wave of constructive theorems which explicitly relate the algebra of the fundamental group of a hyperbolic 3-manifold to its geometry, and to the geometry of various simplicial complexes, such as the curve complex. This ICERM workshop will focus on such advances, as well as on the development of new algorithms and extension of algorithmic techniques to the study of free groups. The workshop aims to bring together researchers from a broad range of related fields to work towards a more effective and quantitative understanding of 3-manifold topology, geometric group theory, and hyperbolic geometry.

Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Yael Algom-Kfir
University of Haifa
-
Tarik Aougab
Brown University
-
Caleb Ashley
Morehouse College
-
Christopher Atkinson
University of Minnesota, Morris
-
Mark Bell
University of Illinois
-
Michael Ben-Zvi
Tufts University
-
Mladen Bestvina
University of Utah
-
Joan Birman
Columbia University
-
Sarah Bray
Tufts University
-
Jeffrey Brock
Brown University
-
Kenneth Bromberg
University of Utah
-
Nicholas Cahill
University of Utah
-
Abhijit Champanerkar
College of Staten Island and The Graduate Center, CUNY
-
Matt Clay
University of Arkansas
-
Matthew Day
University of Arkansas
-
Valentina Disarlo
Indiana University
-
Spencer Dowdall
Vanderbilt University
-
Moon Duchin
Tufts University
-
Mark Feighn
Rutgers University
-
David Futer
Temple University
-
Radhika Gupta
University of Utah
-
Asaf Hadari
University of Hawaii, Manoa
-
Brendan (Burns) Healy
Tufts
-
Eriko Hironaka
Florida State University
-
Peihong Jiang
Brown University
-
Ilya Kofman
CUNY
-
Aleksandr Kolpakov
University of Toronto
-
Michael Landry
Yale University
-
Justin Lanier
Georgia Tech
-
Chris Leininger
University of Illinois, Urbana-Champaign
-
Joel Louwsma
Niagara University
-
Johanna Mangahas
University of Buffalo
-
Dan Margalit
Georgia Institute of Technology
-
Nicholas Miller
Purdue University
-
Yair Minsky
Yale University
-
Babak Modami
Yale University
-
Thomas Ng
Temple University
-
Christopher O'Donnell
Tufts University
-
Priyam Patel
Purdue University
-
Mark Pengitore
Purdue University
-
Bram Petri
Max Planck Insitute for Mathematics, Bonn
-
Alexandra Pettet
University of British Columbia
-
Catherine Pfaff
University of California, Santa Barbara
-
Jessica Purcell
Monash University
-
Yulan Qing
University of Toronto
-
Shawn Rafalski
Fairfield University
-
Kasra Rafi
University of Toronto
-
Alexander Rasmussen
Yale University
-
Andrew Sanchez
Tufts University
-
Jennifer Schultens
University of California, Davis
-
Shane Scott
Georgia Tech
-
Samuel Senti
Universidade Federal do Rio de Janerio
-
Juan Souto
Universite de Rennes 1
-
Balazs Strenner
Institute for Advanced Study
-
Robert Tang
University of Oklahoma
-
Jing Tao
University of Oklahoma
-
Samuel Taylor
Yale University
-
Maria Trnkova
UC Davis
-
Karen Vogtmann
University of Warwick
-
Genevieve Walsh
Tufts University
-
Yohsuke Watanabe
University of Hawaii at Manoa
-
Richard Webb
University of Cambridge
-
Ashley Weber
Brown University
-
Peter Wong
Bates College
-
Yunhui Wu
Rice University