Braids in Algebra, Geometry and Topology

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Braids in Algebra, Geometry and Topology

 22 - 26 May 2017

ICMS, 15 South College Street Edinburgh

  • Tara Brendle, University of Glasgow
  • Jordan Ellenberg, University of Wisconsin
  • Andrew Putman, University of Notre Dame
  • Andrew Ranicki, University of Edinburgh


The purpose of this workshop was to celebrate the breadth of the topic, with an eye on identifying common problems that admit multiple phrasings and multiple approaches. We fostered collaborations and we also promoted the use of braids as a common currency. Our aim was to ensure that a variety of viewpoints on the subject remains a shared experience for practitioners in a variety of fields, at all career stages. Photographs are available here.


  • Dan Margalit, Georgia Institute of Technology - Hyperelliptic Torelli Groups

  • Luis Paris, Université de Bourgogne - Endomorphisms of the Mapping Class Group of a Non-Orientable Surface

  • Dale Rolfsen, University of British Columbia - Braids, Aut(F_n) and Small Volume Hyperbolic 3-Manifolds

  • Karen Vogtmann, University of Warwick - Homology Stability for Braid Groups and Mapping Class Groups 

  • Robert Ghrist, University of Pennsylvania - Morse Theory on Spaces of Braids

  • Nigel Boston, University of Wisconsin - Random Galois Groups and Pro-P Braid Groups

  • Gregor Masbaum, CNRS - An Application of TQFT to Modular Representation Theory

  • Benson Farb, University of Chicago - Braids, Polynomials and Hilbert's 13th Problem

  • Eriko Hironaka, Florida State University - Braid Actions on Rational Maps

  • Richard Hepworth, University of Aberdeen - The Edge of the Stable Range

  • Mitchell Berger, University of Exeter - Applications of Braids in Dynamics and Solar Physics

  • David Roberts, University of Minnesota - Monodromy of Hurwitz-Belyi Maps

  • Ivan Marin, Université d'Amiens - Braids, Ties and Hecke Algebras

  • Martin Bridson, University of Oxford - Kahler Groups, RAAGs and Subdirect Products of Surfaces

  • Craig Westerland, University of Minnesota - Fox-Neuwirth/Fuks Cells, Quantum Shuffle Algebras, and Malle’s Conjecture for Function Fields

  • TN Venkataramana, Tata Institute of Fundamental Research - Burau Representation and Arithmetic Groups

  • Alexandru Suciu, Northeastern University - Algebraic Invariants of Pure Braid-Like Groups

  • Nathalie Wahl, University of Copenhagen - Polynomiality for Braid Group Representations

  • Eli Grigsby, Boston College - Braids and Homology-Type Invariants

  • Joan Birman, Columbia University - Computing Distance in the Curve Graph

  • Jean-Luc Thiffeault, University of Wisconsin - Topological Optimization with Braids