Categorification in Quantum Topology and beyond

Categorification is a flexible and powerful set of techniques and ideas, which produces insight about mathematical structures by viewing them as shadows of objects in a richer world, often described in terms of higher categories. Two important and interrelated categorification programmes, which are the basis for this workshop, concern the concepts of quantum link homologies and higher representation theory. Both have their origin in mathematics, but have since developed into some of the most fruitful grounds for collaboration between pure mathematics and theoretical physics. 

The goals of this workshop are twofold. The first week will make the rapid developments in these areas of categorification accessible to non-experts and intensify communication between specialists in these and related areas like TQFT, quantum Teichmüller theory, and gauge theory. The second week will be used to host a research conference with thematic emphasis on categorification of skein theory and 3-manifold invariants. 

We can offer limited funds to PhD students working on categorification in quantum topology, broadly defined, to attend the lectures in the first week. To register your interest, please write an email to, stating whether or not your home institute would financially support your stay, and briefly describe your work (in two or three sentences). For planning reasons, we appreciate early notes of interest; the final application deadline for support for the first week is October 15, 2018. 

Schedule Week 1, January 7 - 11, 2019 (pdf)

Schedule Week 2, January 14 - 18, 2019 (pdf)

Coming soon.

  • Rostislav Akhmechet (U Virginia)
  • Saeid Aminian (U Prague)
  • Aleksandra Anokhina (ITEP, Moscow)
  • Leon Barth (Ruhr U, Bochum)
  • Anna Beliakova (U Zürich)
  • Johannes Berger (U Hamburg)
  • Christian Blanchet (U Paris-Diderot)
  • Alex Chandler (North Carolina State U)
  • Zsuzsanna Dancso (U Sydney)
  • Angelo Raffaele Fazio (U Nacional de Colombia, Bogota)
  • Domenico Fiorenza (U Roma 1)
  • Victor Godet (U Amsterdam)
  • Evgeny Gorskiy (UC Davis)
  • Mikhail Gorsky (U Stuttgart)
  • Sergei Gukov (Caltech, Pasadena)
  • Kazuhiro Hikami (Kyushu U, Fukuoka)
  • Quoc Ho (ISTA, Klosterneuburg)
  • David Jordan (U Edinburgh)
  • Joel Kamnitzer (U Toronto)
  • Tina Kanstrup (U Aarhus)
  • Oscar Kivinen (UC Davis)
  • Thang Le (GATECH, Atlanta)
  • Yongchao Lu (Uppsala U)
  • Maciej Markiewicz (U Warsaw)
  • Mathew McMillan (UCLA)
  • Anton Mellit (U Vienna) — Organizer
  • Alexandre Minets (ISTA, Klosterneuburg)
  • Shuang Ming (UC Davis)
  • Vincentas Mulevicius (U Hamburg)
  • Gregoire Naisse (UCLouvain)
  • Emily Norton (U Bonn)
  • Can Ozan Oguz (Galatasaray U)
  • Tomasz Przezdziecki (MPIM, Bonn)
  • Krzysztof Putyra (U Zürich)
  • Hoel Queffelec (CNRS, Montpellier)
  • Jacob Rasmussen (U Cambridge)
  • David Reutter (U Oxford)
  • Elia Rizzo (UCLouvain)
  • Louis Hadrien Robert (U Genève)
  • Raphael Rouquier (UCLA)
  • Ingmar Saberi (U Heidelberg)
  • Pablo Sanchez Ocal (TAMU, College Station)
  • Nicolle Sandoval Gonzalez (UCLA)
  • Oliver Singh (Durham U)
  • Kursat Sozer (Indiana U, Bloomington)
  • Catharina Stroppel (U Bonn)
  • Piotr Sulkowski (U Warsaw)
  • Joshua Sussain (CUNY, New York)
  • Lórànt Szegedy (MPIM, Bonn)
  • Daniel Tubbenhauer (U Zürich)
  • Pedro Vaz (UCLouvain)
  • Emmanuel Wagner (U Bourgogne)
  • Paul Wedrich (ANU, Canberra) — Organizer
  • Dominic Weiller (ANU, Canberra)
  • Arik Wilbert (U Melbourne)
  • Yue Zhao (UC Davis)
  • Zechuan Zheng (ENS Paris)
At a glance
Jan. 7, 2019 — Jan. 18, 2019
ESI Boltzmann Lecture Hall
Nils Carqueville (U Vienna)
Anton Mellit (U Vienna)
Paul Wedrich (ANU, Canberra)