- PhD students
Florence Sterck | FRIA fellow | co-supervision with Marino Gran (UCL) | started in October 2017
William Hautekiet | teaching assistant at ULB | started in October 2019
Paul Grosskopf | FRIA fellow | started in October 2020
Paolo Saracco | Chargé de recherche at FRNS | at ULB since May 2018
- 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
- 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
- As this website is determined to become outdated, more updated versions of the publication list, as well as free pdf-preprint versions of all papers can be found on arXiv, Google Scholar, Researchgate and DI-fusion.
P. Saracco and J. Vercruysse, Geometric partial comodules over flat coalgebras in Abelian categories are globalizable, arXiv:2107.07299
P. Saracco and J. Vercruysse, On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras, arXiv:2107.06574
A. Agore, A. Gordienko and J. Vercruysse, V-universal Hopf algebras (co)acting on Ω-algebras, arXiv:2005.12954
M. D'Adderio, W. Hautekiet, P. Saracco and J. Vercruysse, Partial and global representations of finite groups, arXiv:2005.09465
P. Saracco and J. Vercruysse, Globalizations of geometric partial actions, arXiv:2001.07669.
- Accepted for publication/in press
M.Buckley, T. Fieremans, C. Vasilakopoulou and J. Vercruysse, Oplax Hopf algebras, preprint arXiv:1710.01465, to appear in Higher Structures, 2021
A. Agore, A. Gordienko and J. Vercruysse, Equivalences of (co)module algebra structures over Hopf algebras, preprint arXiv:1812.04563, to appear in J. Noncommut. Geom., 2021.
 G. Böhm, J. Vercruysse, BiHom Hopf algebras viewed as Hopf monoids, arXiv preprint arXiv:2003.08819, Contemporary Mathematics 771 (2021), 141.
 M.M.S. Alves, E. Batista, F. Castro, G. Quadros and J. Vercruysse, partial corepresentations of Hopf algebras, J. Algebra 577 (2021), 74–135.
 M. Buckley, T. Fieremans, C. Vasilakopoulou and J. Vercruysse, A Larson-Sweedler theorem for Hopf V-categories, Adv. Math. 376 (2021), 107456.
 J. Hu and J. Vercruysse, Geometrically partial actions, Trans. Amer. Math. Soc., 373 (2020), 4085–4143.
 M.M.S. Alves, E. Batista and J. Vercruysse, Dilations of partial representations of Hopf algebras, J. Lond. Math. Soc. 100 (2019), 273–300.
 M. Gran, F. Sterck and Joost Vercruysse, A semi-abelian extension of a theorem by Takeuchi, J. Pure Appl. Algebra 223 (2019), 4171–4190.
 M. Gran, G. Kadjo and J. Vercruysse, Split extension classifiers in the category of cocommutative Hopf algebras, Bull. Belg. Math. Soc. Simon Stevin 25 (2018), 355–382.
 S. Caenepeel, E. Batista and J. Vercruysse, Hopf categories, Algebr. Represent. Theory, 19 (2016), 1173–1216.
 M. Gran, G. Kadjo and J. Vercruysse, A Torsion Theory in the Category of Cocommutative Hopf Algebras, Appl. Categ. Structures, 24 (2016) 269–282.
 E. Batista and J. Vercruysse, Dual constructions for partial actions of Hopf algebras, J. Pure Appl. Algebra 220 (2016), 518--559.
 M.M.S. Alves, E. Batista and J. Vercruysse, Partial representations of Hopf algebras, J. Algebra 426 (2015).
 I. Goyvaerts and J. Vercruysse, Lie monads and dualities, J. Algebra 414 (2014), 120--158.
 I. Goyvaerts and J. Vercruysse, On the duality of generalized Lie and Hopf algebras, On the duality of generalized Lie and Hopf algebras, Adv. Math. 258 (2014), 154--190.
 J. Vercruysse, Hopf algebras -- Variant notions and reconstruction theorems, in ``Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse'', C. Heunen, M. Sadrzadeh, E. Grefenstette (eds.). Oxford University Press, Oxford, 2013, 115--145.
 I. Goyvaerts and J. Vercruysse, A note on the categorisation of Lie algebras, in ``Lie Theory and its applications in physics IX'', V. Dobrev (eds.), Spring Proceedings in Mathematics and Statistics 36, Springer, Tokyo, 2013, 541--550.
 T. Brzezinski, A. Vazquez Marquez and J. Vercruysse, The Eilenberg-Moore category and a Beck-type theorem for a Morita context, Appl. Categorical Structures 19, (2011), 821--858.
 K. Janssen and J. Vercruysse, Multiplier Hopf and bi-algebras, J. Algebra Appl. 9 (2), (2010), 275 -- 303.
 F. Castaño Iglesias, C. Nastasescu, J. Vercruysse, Quasi-Frobenius functors. Applications, Comm Algebra, 38 (8), (2010), 3057-3077.
 G. Böhm and J. Vercruysse, Morita theory for comodules over corings, Comm Algebra. 37 (9), (2009), 3207 -- 3247.
 T. Brzezinski and J. Vercruysse, Bimodule Herds, J. Algebra, 321 (9), (2009), 2670--2704.
 L. El Kaoutit and J. Vercruysse, Cohomology for Bicomodules. Separable and Maschke Functors, Journal of K-theory, 3 (1) (2009), 123--152.
 J. Vercruysse, Quasi-co-Frobenius corings as Galois comodules, Arabian Journal for Science and Engeneering, 22 (2C) (2008), 529--552.
 J. Vercruysse, Equivalences between categories of Modules and categories of Comodules, Acta Math. Sin. (Engl. Ser.) 24 (10) (2008), 1655--1674.
 M. Iovanov and J. Vercruysse, Cofrobenius Corings and adjoint Functors, Journal of Pure and Applied Algebra, 212 (9), 2027-2058 (2008).
 J. Gómez-Torrecillas and J. Vercruysse, Comatrix Corings and Galois Comodules over firm rings, Algebras and Representation Theory, 10 (3) (2007), 271--306.
 G. Böhm and J. Vercruysse, Morita theory for Coring extensions and Cleft bicomodules, Advances in Mathematics 209 (2007), 611--648. Corrigendum, Advances in Mathematics 221 (2009), 682--686.
 S. Caenepeel, E. De Groot and J. Vercruysse, Galois theory for Comatrix Corings: Descent theory, Morita theory, Frobenius and separability properties, Trans. Amer. Math. Soc. 359 (2007), 185--226.
 S. Caenepeel, E. De Groot and J. Vercruysse, Constructing Infinite Comatrix Corings from Colimits, Appl. Categorical Structures, 14 (2006), 539--565.
 J. Vercruysse, Local units versus local projectivity. Dualisations : Corings with local structure maps, Communications in Algebra 34 (2006), 2079--2103.
 S. Caenepeel, J. Vercruysse and Shuanhong Wang, Rationality properties for Morita contexts associated to corings, in ``Hopf algebras in non-commutative geometry and physics", Caenepeel S. and Van Oystaeyen, F. (eds.), Lect. Notes Pure Appl. Math., Dekker, New York (2005) 113--136.
 S. Caenepeel, J. Vercruysse and Shuanhong Wang, Morita Theory for corings and cleft entwining structures, Journal of Algebra 276 (2004) 210--235.
- Edited volumes
S. Caenepeel, M. Gran, J. Vercruysse, Y. Zhang (eds.), “New trends in Hopf algebras and tensor categories”, Bull. Belgian Math. Soc. - Simon Stevin 23 (2016) issue 5, ISSN 1370-1444.
S. Caenepeel, M. Gran, J. Vercruysse, Y. Zhang (eds.), “New trends in Hopf algebras and tensor categories (Part II)”, Bull. Belgian Math. Soc. - Simon Stevin 24 (2017) issue 1, ISSN 1370-1444.
- 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 | 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
Algèbre Linéaire et Géométrie: aspects théoriques et algorithmiques | BA Mathématique | bloc 1
Algèbre et géométrie II | BA Mathématique | bloc 3
Mathématique: algèbre linéaire II et fonctions de plusieurs de variables | BA Ingénieur de gestion | bloc 2
Groupes, algèbres et représentations | MA Mathématique
Algèbre catégorique | MA Mathématique