Joost Vercruysse

Coordinates

Joost Vercruysse
Université Libre de Bruxelles
Département de Mathématique
Bureau 2.O.8.104 
Campus de la Plaine CP216
Boulevard du Triomphe
B-1050 Bruxelles - Belgium
Email: jvercruy - at - ulb.ac.be
Phone: +32-2-650.60.32






Research 

Main research interests are Algebra and Category theory.
More specifically, research topics include Hopf algebras and Hopf algebroids, Corings and Coalgebras, Hopf-Galois theory and Galois descent, non-commutative geometry and quantum groups.

Team

  • PhD students
    William Hautekiet | teaching assistant at ULB | started in October 2019
    Paul Grosskopf | FRIA fellow | started in October 2020
    Thomas Letourmy | teaching assistant at ULB | co-supervision with Leandro Vendramin | started in October 2021
  • Postdocs
    Paolo Saracco | Chargé de recherche at FRNS | at ULB since May 2018
    Johannes Berger | post-doctoral researcher on ARC project | at ULB since October 2021
    Ryan Aziz | Marie Curie IF@ULB grant | at ULB since November 2021
  • Former PhD students
    Isar Goyvaerts | teaching assistant VUB | co-supervision with Stef Caenepeel (VUB) | PhD defended August 2013 | thesis title : Techniques from monoidal category theory applied to generalized Lie algebras and various types of dualities
    Gabriel Kadjo | FRIA fellow | co-supervision with Marino Gran (UCL) | PhD defended September 2016 | thesis title : Semi-abelian aspects of cocommutative Hopf algebras
    Jiawei Hu | CSC grant | joint PhD between East China Normal University (local supervisor Sheng-Li Tan) and ULB | PhD defended July 2018 | thesis title: Partial actions in algebraic geometry
    Timmy Fieremans | teaching assistant VUB | co-supervision with Stef Caenepeel (VUB) | PhD defended September 2019 | thesis title: Hopf and Frobenius V-categories
    Hoan-Phung Bui | teaching assistant ULB | co-supervision with Gabor Wiese (Université de Luxembourg) | PhD defended September 2020 | thesis title : Correspondence theorems in Hopf-Galois theory for separable field extensions
    Florence Sterck | FRIA fellow | co-supervision with Marino Gran (UCL) | PhD defended September 2021 | thesis title: Split Extensions, Actions and Crossed Modules in Categories of Hopf Algebras
  • Former Postdocs
    Mitchell Buckley | post-doctoral researcher on ARC project October 2015 - September 2016 | ULB individual fellowship December 2016 - May 2018
    Dimitri Chikhladze | post-doctoral researcher on ARC project | May 2016 - September 2016
    Christina Vasilakopoulou | post-doctoral researcher on ARC project | October 2016 - September 2017
    Jonathan Grant | post-doctoral researcher on ARC project | October 2016 - September 2017
    Réamonn O’Buachalla | post-doctoral researcher on MIS project | June 2018 - May 2020
    Alessandro Iraci | post-doctoral researcher my MIS project | November 2019 - March 2020
  • Long term visitors
    Eliezer Batista | Universidade Federal de Santa Catarina, Florianopolis, Brazil | January 2013 - January 2014
    Ana Cristina Correa Munaretto | Universidade de Paraná, Brasil | February 2014 - July 2014
    Matheus Teixeira | Universidade Federal de Santa Catarina, Florianopolis, Brazil | August 2017 - March 2018
    Arthur Neto | Univerisade Federal do Paraná, Brazil | December 2021 - May 2022

Publications

Projects

  • CDR (Crédit de recherche) by FNRS | Coactions of generalized Hopf algebras (Ref. J.0061.13 CDR FRFC) | EUR 6500 | 2013-2014
  • ARC consolidator grant by FWB | Hopf algebras and the symmetries of non-commutative spaces | EUR 200 000 | 2015-2018
  • MIS (Incentive grant for research) by FNRS | Actions in Non-commuTatIve algebra and Partial mODulEs (ANTIPODE) | EUR 286 000 | 2018-2021
  • ARC advanced grant by FWB | From algebra to combinatorics, and back | joint with Michele D'Adderio, Dimitri Leemans and Spela Spenko | EUR 663 381 | 2021-2024
  • Fonds Thelam (Foundation Roi Baudeouin) | Partial Symmetries of Non-Commutative Spaces | EUR 25 000 | 2021-2024

Conferences and workshops

  • Future events
    Second antipode workshop | Brussels (ULB) | was planned September 2020 but postponed due to Covid-19
  • Past events
    Hopf algebra Workshops | joint workshops by VUB and ULB | January 31, March 19 and April 17 2012
    New trends in Hopf algebras and tensor categories | Brussels | June 2-5 2015
    Brauer groups, Hopf algebras and monoidal categories | conference in Honour of Stef Caenepeel’s 60th birthday | Turin | May 24-27 2016
    Hopf algebras @ Brussels | Brussels (ULB) | September 28-29 2016
    Séminaire Itinérante de Catégories (SIC) | Brussels (ULB) | January 27 2017
    Brussels Hopf algebra workshop | Brussels (ULB) | August 29-30 2017
    First antipode workshop | Brussels (ULB) | 19-10 March 2018
    Aspects of Higher representation theory: quantum groups and categorification | Brussels (VUB) | 21-25 January 2019

Seminars

Teaching

Students can find info and lecture notes on each of the courses I teach via the UV-page.

Courses (2021-22)

  • MathF102
    Algèbre Linéaire et Géométrie: aspects théoriques et algorithmiques | BA Mathématique | bloc 1
  • MathF3003
    Algèbre et géométrie II | BA Mathématique | bloc 3
  • MathS202
    Mathématique: algèbre linéaire II et fonctions de plusieurs de variables | BA Ingénieur de gestion | bloc 2
  • MathF407
    Groupes, algèbres et représentations | MA Mathématique
  • MathF519
    Algèbre catégorique | MA Mathématique

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