Mathieu Duckerts-Antoine

I am a mathematician currently working as a postdoctoral fellow
with FCT - Fundação para a Ciência e a Tecnologia
at the CMUC - Centre for Mathematics, University of Coimbra, Portugal.

Address:

Department of Mathematics,
University of Coimbra,
Apartado 3008, 3001-501 Coimbra,
PORTUGAL

Phone: +351 239791150
Fax: +351 239 820 489

E-mail: mathieud at mat dot uc dot pt

Curriculum Vitae

Past positions

From 2007 to 2014: Teaching assistant, Université catholique de Louvain, Belgium.

Formation

From 2001 to 2006: Licence in Mathematical Sciences (Orientation: Theory and applications), Université de Namur, Namur, Belgium.
From 2007 to 2013: Ph. D in Mathematical Sciences, Université catholique de Louvain, Louvain-la-Neuve, Belgium.

Complete curriculum Vitae

Available here.

Research

Research keywords

Category theory, Categorical Galois Theory, Non-abelian homology, Hopf formulae, Homological category

Articles submitted for publication

How to centralize and normalize a quandle extension.

With V. Even and A. Montoli, preprint arXiv:1703.09155v2 (2017).
A Seifert - Van Kampen theorem in non-abelian algebra.

With T. Van der Linden, preprint Pré-Publicações DMUC 16-45 (2016).
A classification theorem for normal extensions.

With T. Everaert, preprint arXiv:1604.02604 (2016).

Published articles

Epireflective subcategories and formal closure operators, Theory and Applications of Categories, 32 (2017), No. 15, 526-546.

With M. Gran and Z. Janelidze, Pdf available here.
Fundamental group functors in descent-exact homological categories, Advances in Mathematics, 310 (2017), 64-120.

Preprint arXiv:1604.03287.
A description of the fundamental group in terms of commutators and closure operators, Journal of Pure and Applied Algebra 216 (2012), 1837-1851.

With T. Everaert et M. Gran, preprint arXiv:1410.3218.

Doctoral dissertation

Fundamental groups in E-semi-abelian categories, Université catholique de Louvain, 2013.

Talks

Invited speaker

29th April 2015: Higher Hopf formulae and fundamental group functors in almost Barr-exact homological categories, CATALG2015, 3rd Workshop on Categorical Algebra: Recent developments and future perspectives, Università degli Studi di Milano, Gargnano (Italy).

Contributed talks

27th January 2017: Comment centraliser des extensions de quandles, Séminaire Itinérant de Catégories, Université Libre de Bruxelles, Brussels (Belgium).
30th May 2016: A Seifert-van Kampen theorem in non-abelian algebra, 4th Workshop on Categorical Methods in Non-Abelian Algebra, Universidade de Coimbra, Coimbra (Portugal).
15th June 2015: A classification theorem for normal extensions, Category Theory 2015, Universidade de Aveiro, Aveiro (Portugal).
8th November 2014: Groupes fondamentaux et formules de Hopf, Séminaire Itinérant de Catégories, Université Diderot Paris 7, Paris (France).
25th January 2014: A classification theorem for normal extensions, Categorical Methods in Algebra and Topology: Workshop in honour of Manuela Sobral on the occasion of her 70th birthday, Universidade de Coimbra, Coimbra (Portugal).
9th July 2013: Fundamental groups in E-semi-abelian categories, Category Theory 2013, Macquarie University, Sydney (Australia).
13th July 2012: Generalized Hopf formulae for homology, Workshop on Category Theory: In honour of George Janelidze, on the occasion of his 60th birthday, Universidade de Coimbra, Coimbra (Portugal).
21st October 2012: Une description du groupe fondamental en termes de commutateurs et d'opérateurs de fermeture, Séminaire Itinérant de catégories, Université du Littoral Côte d'Opale, Calais (France).

Seminars

13th December 2016: How to centralize and normalize quandle extensions, Seminario de Algebra, Logica e Topologia, Universidade de Coimbra, Coimbra (Portugal).
7th April 2016: On topological semi-abelian algebras, Research Seminar Program, UC/UP Joint PhD Program in Mathematics, Universidade de Coimbra, Coimbra (Portugal).
5th February 2016: A general homology coproduct theorem, Category Theory Seminar, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
30th September 2014: Fundamental group functors and higher Hopf formulae, Seminario de Algebra, Logica e Topologia, Universidade de Coimbra, Coimbra (Portugal).
7th March 2011: Une description du groupe fondamental en termes de commutateurs et d'opérateurs de fermeture, Séminaire interuniversitaire de catégories, Vrije Universiteit Brussel, Bruxelles (Belgium).
6th March 2008: Une courte introduction à l'intuitionnisme, Séminaire interuniversitaire de logique mathématique, Université catholique de Louvain, Louvain-la-Neuve (Belgium).

Posters

28th Septembre 2011: A description of the fundamental group in terms of commutators and closure operators, CATALG2011, 2nd Workshop on Categorical Algebra: Recent developments and future perspectives, Università degli Studi di Milano, Gargnano (Italy).

Conferences

Organised conferences

30th May to 1st June 2016: 4th Workshop on Categorical Methods in Non-Abelian Algebra, Universidade de Coimbra, Coimbra (Portugal).

Attended conferences

30th May to 1st June 2016: 4th Workshop on Categorical Methods in Non-Abelian Algebra, Universidade de Coimbra, Coimbra (Portugal).
21st to 22nd May 2016: 100th Peripatetic Seminar on Sheaves and Logic, University of Cambridge, Cambridge (United Kingdom).
31st October 2015: Séminaire Itinérant de Catégories Université catholique de Louvain, Louvain-la-Neuve (Belgium).
10th to 12th September 2015: Workshop in Category Theory and Algebraic Topology, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
14th to 19th June 2015: Category Theory 2015, Universidade de Aveiro, Aveiro (Portugal).
26th to 30th April 2015: 3rd Workshop on Categorical Algebra: Recent developments and future perspectives, Università degli Studi di Milano, Gargnano (Italy).
29th January 2015: 3rd Workshop on Categorical Methods in Non-Abelian Algebra, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
8th November 2014: Séminaire Itinérant de Catégories, Université Diderot Paris 7, Paris (France).
11th to 13th September 2014: Summer School in Category Theory and Algebraic Topology, Ecole Polytechnique Fédérale de Lausanne, Lausanne (Switzerland).
29th June to 5th July 2014: Category Theory 2014, University of Cambridge, Cambridge (United Kingdom).
17th May 2014: Séminaire Itinérant de Catégories, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
24th to 26th January 2014: Categorical Methods in Algebra and Topology: Workshop in honour of Manuela Sobral on the occasion of her 70th birthday, Universidade de Coimbra, Coimbra (Portugal).
30th octobre 2013: Nord Pas de Calais / Belgium congress of mathematics, Université de Mons, Mons (Belgium).
7th to 13th 2013: Category Theory 2013, Macquarie University, Sydney (Australia).
24th May 2013: Séminaire Itinérant de Catégories, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
8th March 2013: Séminaire Itinérant de Catégories, Université du Littoral Côte d'Opale, Calais (France).
21st October 2012: Séminaire Itinérant de Catégories, Université du Littoral Côte d'Opale, Calais (France).
9th to 13th July 2012: Workshop on Category Theory: In honour of George Janelidze, on the occasion of his 60th birthday, Universidade de Coimbra, Coimbra (Portugal).
19th May 2012: Séminaire Itinérant de Catégories, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
14th to 15th April 2012: 93th Peripatetic Seminar on Sheaves and Logic, University of Cambridge, Cambridge (United Kingdom).
26th to 27th mai 2011: Category theory, algebra and geometry, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
27th September to 1st October 2011: CATALG2011, 2nd Workshop on Categorical Algebra: Recent developments and future perspectives, Università degli Studi di Milano, Gargnano (Italy).
27th to 28th November 2010: 91th Peripatetic Seminar on Sheaves and Logic, University of Amsterdam, Amsterdam (Netherlands).
5th June 2010: Séminaire Itinérant de Catégories, Université de Picardie, Amiens (France).
12th to 13th December 2009: 89th Peripatetic Seminar on Sheaves and Logic, Université catholique de Louvain, Louvain-la-Neuve (Belgium).
5th to 8th May 2009: Philosophy and Foundations of Mathematics: Epistemology and Ontological aspects. A conference dedicated to Per Martin-Löf on the occasion of his retirement, Uppsala University, Uppsala (Sweden).
23rd April 2008: Cameleon, University of Cambridge, Cambridge (United Kingdom).
7th November 2007: Logique et réalité, Université catholique de Louvain, Louvain-la-Neuve (Belgium).

Last modification: May 2017