Tim Van der LindenTim 2013

I work at the Université catholique de Louvain as chercheur qualifié (or research associate) for Fonds de la Recherche Scientifique–FNRS and as chargé de cours.

Address in Louvain

Institut de recherche en mathématique et physique
chemin du cyclotron 2 bte L7.01.02
1348 Louvain-la-Neuve
Belgium

Office

c.027, on the ground floor of the Marc de Hemptinne building

Email

tim.vanderlinden@uclouvain.be

Phone

+32 10 473179


Enseignement

Deuxième quadrimestre 2016–2017 : le cours LMAT1235 – Notions de logique mathématique.


Seminar

I co-organise the Category Theory Seminar which alternates between the UCL, the ULB and the VUB.


Research

Keywords

categorical algebra; categorical Galois theory; (co)homology of non-abelian algebraic structures; commutator theory, central extensions; homotopical algebra, Quillen model structures

Two recent lectures

Une approche intrinsèque des produits tensoriels at the Séminaire Itinérant de Catégories dedicated to Jacques Riguet, the 16th of November 2013 in Paris. (Joint work with Manfred Hartl)

Qu’est-ce l’admissibilité de Nelson Martins-Ferreira ? at the Séminaire Itinérant de Catégories of the 31st of October 2015 in Louvain-la-Neuve.

Articles submitted for publication

A characterisation of Lie algebras amongst alternating algebras
With Xabier García-Martínez; preprint arXiv:1701.05493.

A note on split extensions of bialgebras
With Xabier García-Martínez; preprint arXiv:1701.00665.

A Seifert–van Kampen theorem in non-abelian algebra
With Mathieu Duckerts-Antoine; preprint Pré-Publicações DMUC 16-45 (2016), 1–28.

Do n-Lie algebras have universal enveloping algebras?
With Xabier García-Martínez and Rustam Turdibaev; preprint arXiv:1508.06940.

Accepted articles

Two characterisations of groups amongst monoids, J. Pure Appl. Algebra, accepted for publication.
With Andrea Montoli and Diana Rodelo; preprint arXiv:1606.08649.

Published articles

What is an ideal a zero-class of? J. Algebra Appl. 16 (2017), no. 3, 1750049 (16 pages).
With Nelson Martins-Ferreira, Andrea Montoli and Aldo Ursini; preprint arXiv:1602.08627.

A criterion for reflectiveness of normal extensions, Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 5, 667–692.
With Andrea Montoli and Diana Rodelo; preprint arXiv:1602.02515.

Higher central extensions and cohomology, Adv. Math. 287 (2016) 31–108.
With Diana Rodelo; preprint arXiv:1502.05282.

The Yoneda isomorphism commutes with homology, J. Pure Appl. Algebra 220 (2016) 495–517.
With George Peschke; preprint arXiv:1505.05406.

Algebraically coherent categories, Theory Appl. Categ. 30 (2015), no. 54, 1864–1905.
With Alan Cigoli and James Gray.

Further remarks on the "Smith is Huq" condition, Appl. Categ. Structures 23 (2015) 527–541.
With Nelson Martins-Ferreira; preprint arXiv:1401.5604.

Peri-abelian categories and the universal central extension condition, J. Pure Appl. Algebra 219 (2015) 2506–2520.
With James Gray; preprint arXiv:1404.3067.

On the normality of Higgins commutators, J. Pure Appl. Algebra 219 (2015) 897–912.
With Alan Cigoli and James Gray; preprint arXiv:1312.5474.

On the reflectiveness of special homogeneous surjections of monoids, Categorical Methods in Algebra and Topology, Textos de Matemática (Série B), vol. 46, Departamento de Matemática da Universidade de Coimbra, 2014, pp. 237–244.
With Andrea Montoli and Diana Rodelo; preprint pdf.

Approximate Hagemann-Mitschke co-operations, Appl. Categ. Structures 22 (2014) 1009–1020.
With Diana Rodelo; preprint arXiv:1305.1115.

A decomposition formula for the weighted commutator, Appl. Categ. Structures 22 (2014) 899–906.
With Nelson Martins-Ferreira; preprint arXiv:1304.1331.

Categories vs. groupoids via generalised Mal'tsev properties, Cah. Topol. Géom. Differ. Catég. LV (2014), no. 2, 83–112.
With Nelson Martins-Ferreira; preprint arXiv:1206.2745.

An observation on n-permutability, Bull. Belg. Math. Soc. Simon Stevin 21 (2014), no. 2, 223–230.
With Nelson Martins-Ferreira and Diana Rodelo; preprint arXiv:1306.6523.

A Galois theory for monoids, Theory Appl. Categ. 29 (2014), no. 7, 198–214.
With Andrea Montoli and Diana Rodelo.

Hagemann's theorem for regular categories, J. Homotopy Relat. Struct. 9 (2014) 55–66.
With Diana Rodelo and Zurab Janelidze; preprint Pré-Publicações DMUC 13-14 (2013), 1–15.

Universal central extensions in semi-abelian categories, Appl. Categ. Structures 22 (2014) 253–268.
With José Manuel Casas; preprint arXiv:1302.5501.

The fundamental group functor as a Kan extension, Cah. Topol. Géom. Differ. Catég. LIV (2013) 185–210.
With Tomas Everaert and Julia Goedecke; preprint arXiv:1307.0068.

A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting, Cah. Topol. Géom. Differ. Catég. LIV (2013) 163–183.
With Dominique Bourn and Nelson Martins-Ferreira; preprint pdf.

Relative Mal'tsev categories, Theory Appl. Categ. 28 (2013), no. 29, 1002–1021.
With Tomas Everaert, Julia Goedecke and Tamar Janelidze-Gray.

The ternary commutator obstruction for internal crossed modules, Adv. Math. 232 (2013) 571–607.
With Manfred Hartl; preprint arXiv:1107.0954.

Higher central extensions via commutators, Theory Appl. Categ. 27 (2012), no. 9, 189–209.
With Diana Rodelo.

Resolutions, higher extensions and the relative Mal'tsev axiom, J. Algebra 371 (2012) 132–155.
With Tomas Everaert and Julia Goedecke; preprint arXiv:1206.2946.

Relative commutator theory in semi-abelian categories, J. Pure Appl. Algebra 216 (2012) 1791–1806.
With Tomas Everaert; preprint arXiv:1108.3909.

A note on the "Smith is Huq" condition, Appl. Categ. Structures 20 (2012), no. 2, 175–187.
With Nelson Martins-Ferreira; preprint arXiv:1006.1768.

Galois theory and commutators, Algebra Universalis 65 (2011), no. 2, 161–177.
With Tomas Everaert; preprint arXiv:1104.0518.

Homology and central extensions of Leibniz and Lie n-algebras, Homology, Homotopy and Appl. 13 (2011), no. 1, 59–74.
With José Manuel Casas, Emzar Khmaladze and Manuel Ladra.

A note on double central extensions in exact Mal'tsev categories, Cah. Topol. Géom. Differ. Catég. LI (2010), 143–153.
With Tomas Everaert; preprint Pré-Publicações DMUC 09–06 (2009), 1–8.

The third cohomology group classifies double central extensions, Theory Appl. Categ. 23 (2010), no. 8, 150–169.
With Diana Rodelo.

On satellites in semi-abelian categories: Homology without projectives, Math. Proc. Cambridge Philos. Soc. 147 (2009), no. 3, 629–657.
With Julia Goedecke; final pdf (copyright Cambridge Philosophical Society); additional comments.

Simplicial homotopy in semi-abelian categories, J. K-Theory 4 (2009), no. 2, 379–390.
Preprint arXiv:math/0607076; additional comments.

Higher Hopf formulae for homology via Galois Theory, Adv. Math. 217 (2008), 2231–2267.
With Tomas Everaert and Marino Gran.

On the second cohomology group in semi-abelian categories, J. Pure Appl. Algebra 212 (2008), 636–651.
With Marino Gran.

A comparison theorem for simplicial resolutions, J. Homotopy Relat. Struct. 2 (2007), no. 1, 109–126.
With Julia Goedecke.

Model structures for homotopy of internal categories, Theory Appl. Categ. 15 (2005), no. 3, 66–94.
With Tomas Everaert and Rudger Kieboom.

Baer invariants in semi-abelian categories II: Homology, Theory Appl. Categ. 12 (2004), no. 4, 195–224.
With Tomas Everaert; additional comments.

Baer invariants in semi-abelian categories I: General theory, Theory Appl. Categ. 12 (2004), no. 1, 1–33.
With Tomas Everaert; additional comments.

Weak (co)fibrations in categories of (co)fibrant objects, Homology, Homotopy and Appl. 5 (2003), no. 1, 345–386.
With Rudger Kieboom, Gert Sonck and Peter Witbooi.

With Jone Intxaurraga Larrañaga, a translation of an old article written by George Janelidze

G. Z. Janelidze, On satellites in arbitrary categories, Bull. Georgian Acad. Sci. 82 (1976), no. 3, 529–532, in Russian. English translation, September 2008, arXiv:0809.1504.

My Ph.D. thesis, supervised by Rudger Kieboom, defended in January 2006

Homology and homotopy in semi-abelian categories, Ph.D. Thesis, Vrije Universiteit Brussel, 2006, arXiv:math/0607100.


Conferences

The 5th Workshop on Categorical Methods in Non-Abelian Algebra will take place from the 1st till the 3rd of June 2017 in Louvain-la-Neuve. This is a workshop in category theory, algebra and topology on the occasion of George Janelidze being appointed recipient of the 2017 Chaire de La Vallée Poussin.

Un Séminaire Itinérant de Catégories a eu lieu à l'Université libre de Bruxelles le vendredi 27 janvier 2017.

Un Séminaire Itinérant de Catégories a eu lieu à l'Université catholique de Louvain le samedi 31 octobre 2015.

The Workshop in Category Theory and Algebraic Topology was held in September 2015 at the IRMP, Louvain-la-Neuve, Belgium. This is a joint project of the École polytechnique fédérale de Lausanne and the Université catholique de Louvain.

The 97th Peripatetic Seminar on Sheaves and Logic was held on the weekend of 31 January – 1 February 2015 in Louvain-la-Neuve, Belgium.

The second edition of the summer school Category Theory and Algebraic Topology was held at the École polytechnique fédérale de Lausanne in September 2014.

Un Séminaire Itinérant de Catégories a eu lieu à l'Université catholique de Louvain le samedi 17 mai 2014.

Category Theory and Algebraic Topology: a summer school held in September 2013 at the IRMP, Louvain-la-Neuve, Belgium. This is a joint project of the École polytechnique fédérale de Lausanne and the Université catholique de Louvain.

Un Séminaire Itinérant de Catégories a eu lieu à l'Université catholique de Louvain le vendredi 24 mai 2013.

Un Séminaire Itinérant de Catégories a eu lieu à l'Université catholique de Louvain le samedi 19 mai 2012.

The conference Category Theory, Algebra and Geometry was held on Thursday the 26th and Friday the 27th of May 2011 in Louvain-la-Neuve, Belgium. This is a conference in occasion of Ross Street's being appointed the 2011 Chaire de la Vallée Poussin.

The 89th Peripatetic Seminar on Sheaves and Logic was held on the weekend of 12th-13th December 2009 in Louvain-la-Neuve, Belgium.

Categories in Algebra, Geometry and Logic, a conference in honour of the sixtieth birthdays of Francis Borceux and Dominique Bourn, was held on the weekend of 10th-11th October 2008 in Brussel, Belgium.


Past positions

Oct 2010 - Sept 2013: Louvain-la-Neuve (Université catholique de Louvain), post-doctoral researcher for Fonds de la Recherche Scientifique–FNRS

Oct 2008 - Sept 2010: Coimbra, Portugal (Centre for Mathematics of the University of Coimbra), post-doctoral researcher for Fundação para a Ciência e a Tecnologia

Jan - May 2007: Toronto, Canada (York University), visiting lecturer and post-doctoral researcher

Oct - Dec 2006: Brno, Czech Republic (Eduard Čech Center for Algebra and Geometry), post-doctoral researcher

Oct 2000 - Sept 2006 and June 2007 - Sept 2008: Brussel, Belgium (Vakgroep Wiskunde, Vrije Universiteit Brussel), assistant and post-doctoral researcher


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