Curriculum Vitae Tomas Everaert



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Curriculum Vitae Tomas Everaert 1 General Information 1. Surname, First Name: Everaert, Tomas 2. Place and Date of Birth: Belgium, Ostend, June 3, 1980 3. Nationality: Belgian 4. Legal Address: Korte Hofstraat 1c 3530 Houthalen, Belgium 5. Email: teveraer@vub.ac.be 2 Employment 1. From 1 February 2015-30 September 2015: employed at the Vrije Universiteit Brussel (VUB), Belgium, as a teaching assistent ( pedagogisch medewerker ). 2. 1 October 2008-30 September 2014: employed at the VUB, Belgium (funded by a post-doctoral grant from FWO-Vlaanderen). 3. 1 February 2007-31 January 2008: employed at the VUB, Belgium (funded by a PhD grant from OZR-VUB). 4. 1 January 2003-31 December 2006: employed at the VUB, Belgium (funded by a PhD grant from IWT). 5. 1 October 2002-31 December 2002: employed at the VUB, Belgium (funded by a PhD grant from OZR-VUB). 1

3 Degrees 1. Doctor of Science (Mathematics): obtained on 30 May 2007 (at the VUB, Belgium). The title of my PhD thesis was An approach to nonabelian homology based on categorical Galois theory (supervisors: Prof. Marino Gran and Prof. Rudger Kieboom). 2. Master of Mathematics: obtained in July 2002 (at the VUB, Belgium). The title of my master thesis was: Protomodulaire en semi-abelse categorieën (supervisor: Prof. Rudger Kieboom). 4 Teaching 1. 2012-2013: VUB, Ring en Moduultheorie, a course on representation theory of groups, ring theory and module theory, for second year Bachelor students (replacing Prof. E. Jespers). 2. 2008-2009, 2009-2010, 2011-2012: VUB, Semi-abelse categorien, a course on Semi-Abelian Categories, one of my research interests, for master students in Mathematics, notes (in Dutch) are available from http://homepages.vub.ac.be/ teveraer/ 3. 2014-2015: VUB, Kansrekening en Statistiek, a course of Prof. D. Maes on Probability and Statistics, for second year Bachelor students in Mathematics, Biology and Geography, exercises. 4. 2014-2015: VUB, Calculus 1, an elementary calculus course of Prof. D. Maes for Computer Science students, exercises. 5. 2014-2015: VUB, Wiskunde voor Computerwetenschappen 1, a course by Prof. A. Dooms on Image Processing, for Computer Science students, exercises. 6. 2014-2015: VUB, Reële getallen en verzamelingen, a course by Prof. M. Sioen on Real Numbers and Sets, for first year Bachelor students in Mathematics, exercises. 7. 2013-2014: VUB, Affiene en Projectieve Meetkunde, a course of Prof. R. Kieboom on Affine and Projective Géometry, for second year bachelor students in Mathematics, exercises. 2

8. 2013-2014: VUB, Inleiding tot de Functionaalanalyse, a course of Prof. M. Sioen on Functional Analysis, for second year bachelor students in Mathematics, exercises. 9. 2007-2008: VUB, Complexe Analyse, a course of Prof. U. Einmahl on Complex Analysis, for first year master students in Mathematics, exercises. 10. 2006-2007: VUB, Differentiaalmeetkunde 2, a course of Prof. R. Kieboom on Differential Geometry, for third year Bachelor students, exercises. 11. 2005-2006: VUB, Reële Analyse, a course of Prof. M. Sioen on Real Analysis, for first year master students in Mathematics, exercises. 12. 2004-2005: VUB, Reële Analyse, a course of Prof. U. Einmahl on Real Analysis, for first year master students in Mathematics, exercises. 13. 2003-2004: VUB, Analytische meetkunde en infinitesimaalanalyse, a course of Prof. M. Sioen on Analytic Geometry, for first year Bachelor students in Sciences, exercises. 5 Publications 1. T. Everaert and M. Gran, Protoadditive functors, derived torsion theories and homology, J. Pure Appl. Algebra 219 (2015), no. 8, 3629-3676. 2. T. Everaert, Higher central extensions in Mal tsev categories, Appl. Categ. Struct. 22 (2014), 961-979. 3. T. Everaert, J. Goedecke, and T. Van der Linden, The fundamental group functor as a Kan extension, Cah. Topol. Géom. Differ. Catég. LIV (2013) 185-210. 4. T. Everaert, J. Goedecke, T. Janelidze-Gray and T. Van der Linden, Relative Mal tsev categories, Theory Appl. Categ. vol. 28, no. 29, (2013), 1002-1021. 5. T. Everaert and M. Gran, Monotone-light factorisation systems and torsion theories, Bull. Sciences Math. 137, Issue 8 (2013), 996-1006 3

6. T. Everaert, Effective descent morphisms of regular epimorphisms. J. Pure Appl. Algebra 216 (2012), no. 8-9, 1896-1904. 7. M. Duckerts, T. Everaert and M. Gran, A description of the fundamental group in terms of commutators and closure operators. J. Pure Appl. Algebra 216 (2012), no. 8-9, 1837-1851. 8. T. Everaert, J. Goedecke and T. Van der Linden, Resolutions, higher extensions and the relative Mal tsev axiom, J. Algebra 371 (2012), 132-155. 9. T. Everaert and T. Van der Linden, Relative commutator theory in semi-abelian categories, J. Pure Appl. Algebra 216 (2012), no. 8-9, 1791-1806. 10. T. Everaert and T. Van der Linden, Galois theory and commutators, Algebra Univ. vol. 65, no. 2 (2011), 161-177. 11. T. Everaert and T. Van der Linden, A note on double central extensions in exact Mal tsev categories, Cah. Topol. Géom. Differ. Catég. LI (2010), 143 153. 12. T. Everaert and M. Gran, Homology of n-fold groupoids, Theory Appl. Categ. vol. 23, no. 2, (2010), 22-41. 13. T. Everaert, Higher central extensions and Hopf formulae, J. Algebra 324 (2010), 1771-1789. 14. T. Everaert, M. Gran and T. Van der Linden, Higher Hopf formulae for homology via Galois Theory, Adv. Math. 217 (2008), 2231-2267. 15. T. Everaert and M. Gran, On low dimensional homology in categories, Homology, Homotopy and Appl. 9 (2007) no. 1, 275-293. 16. T. Everaert, Relative commutator theory in varieties of Ω-groups, J. Pure Appl. Alg. 210 (2007) no. 1, 1-10. 17. T. Everaert and M. Gran, Relative commutator associated with varieties of n-nilpotent and of n-solvable groups, Arch. Math. (Brno) 42 (2006), no. 4, 387-396. 18. T. Everaert and M. Gran, Precrossed modules and Galois theory, J. Algebra 297 (2006), 292-309. 4

19. T. Everaert, R.W. Kieboom, and T. Van der Linden, Model structures for homotopy of internal categories, Theory Appl. Categ. 15 (2005), no. 3, 66 94. 20. T. Everaert and T. Van der Linden, Baer invariants in semi-abelian categories II: homology, Theory Appl. Categ. 12 (2004), no. 4, 195 224. 21. T. Everaert and T. Van der Linden, Baer invariants in semi-abelian categories I: general theory, Theory Appl. Categ. 12 (2004), no. 1, 1 33. 6 Talks 1. 8 July 2013, Sydney (AU) (CT2013 International Category Theory Conference), Monotone - light factorisation systems and torsion theories. 2. 5 February 2013, Cambridge (GB) (Category Theory Seminar), Monotone - light factorisation systems. 3. 3 December 2012, Louvain-la-Neuve (Séminaire de catégories), On the reflectiveness of covering morphisms. 4. 13 July 2012, Coimbra (P) (Workshop on Category Theory), Higher order central extensions. 5. 28 September 2011, Gargnano (I) (CatAlg2011 workshop), Regular, exact and almost exact completions. (I was invited speaker at this workshop.) 6. 18 June 2011, Paris (F) (Séminaire Iténerant de Catégories), Regularity of categories of regular epimorphisms. 7. 30 March 2011, Cape Town (SA) (BBFest 2011), Regularity of categories of regular epimorphisms. 8. 19 March 2011, Stellenbosch (SA) (A morning of algebra), Galois theory for groups. 9. 30 December 2010, Cape Town (SA) (Max Kelly seminar), Effective descent morphisms of regular epimorphisms. 5

10. 3 November 2009, Cambridge (UK) (Category Theory Seminar), Higher dimensional extensions and the Kan property for simplicial objects. 11. 3 July 2009, Cape Town (SA) (CT2009-International Categoy Theory Conference), Homology of n-fold internal groupoids. 12. 19 June 2007, Carvoeiro (P) (CT2007-International Categoy Theory Conference), Generalized higher Hopf formulae and a long Stallings- Stammbach exact sequence. 13. 6 May 2006, Glasgow (UK) (Peripatetic Seminar on Sheaves and Logic 83), Relative commutator theory in varieties of omega-groups. 14. 6 May 2005, Louvain-La-Neuve (Séminaire de catégories), Galois Theory and commutators. 15. 9 April 2005, Coimbra (P) (Peripatetic Seminar on Sheaves and Logic 81), Galois theory and commutators. 16. 20 March 2004, Louvain-La-Neuve (Séminaire de catégories), Baer invariants in semi-abelian categories I: General Theory. 17. 2 February 2004, Calais (F) (Séminaire du LMPA Joseph Liouville), Homology of simplicial objects in a semi-abelian category. 18. 9 September 2003, Haute-Bodeux (B) (European Category Theory Meeting), On Baer invariants in semi-abelian categories. 7 Conferences 1. Séminaire Iténerant de Catégories, Louvain-la-Neuve (B), 31 October 2015. 2. International Category Theory Conference (CT2014), Cambridge (UK), 29 June-5 July 2014. 3. Categorical Methods in Algebra and Topology, Coimbra (P), 24-26 January 2014. 4. Category Theory and Algebraic Topology, Louvain-la-Neuve (B), 12-14 September 2013. 6

5. International Category Theory Conference (CT2013), Sydney (AU), 7-13 July 2013. 6. Séminaire Iténerant de Catégories, Louvain-la-Neuve (B), 24 May 2013. 7. Workshop on Category Theory, Coimbra (P), 9-13 July 2012. 8. Peripatetic Seminar on Sheaves and Logic 93, Cambridge (UK), 14-15 April 2012. 9. Séminaire Iténerant de Catégories, Paris (F), 15 February 2012. 10. Workshop on categorical algebra: recent developments and future perspectives (CatAlg2011), Gargnano (I), 27 September-1 October 2011 (invited speaker). 11. Séminaire Iténerant de Catégories, Paris (F), 18 June 2011. 12. Category theory, Algebra and Geometry, Louvain-la-Neuve (B), 26-27 May 2011. 13. BBFest 2011 (Conference in honour the 85th birthday of Bernhard Banaschewski), Cape Town (SA), 28-30 March 2011. 14. Max Kelly seminar, Cape Town (SA), 30 December 2010. 15. International Category Theory Conference (CT2010), Genova (IT), 20-26 June 2010. 16. Peripatetic Seminar on Sheaves and Logic 89, Louvain-la-Neuve, 12-13 December 2009 (co-organiser). 17. International Category Theory Conference (CT2009), Cape Town (SA), 29 June-4 July 2009. 18. Peripatetic Seminar on Sheaves and Logic 88, Cambridge (UK), 4-5 April 2009. 19. Categories in Algebra, Geometry and Logic, A tribute to the work of Francis Borceux and Dominique Bourn on the occasion of their sixtieth birthday, Brussel, 10-11 October 2008. 20. International Category Theory Conference (CT2007), Carvoeiro (P), 17-23 June 2007. 7

21. Summer School on Contemporary Categorical Methods in Algebra and Topology, Haute-Bodeux (B), 3-10 June 2007. 22. Séminaire Iténerant de Catégories, Calais (F), 10 November 2006. 23. Peripatetic Seminar on Sheaves and Logic 83, Glasgow (UK), 6-7 May 2006. 24. Colloque Charles Ehresmann, Amiens (F), 7-9 October 2005. 25. Summer School on Topos Theory, Haute-Bodeux (B), 29 May-5 June 2005. 26. Peripatetic Seminar on Sheaves and Logic 81, Coimbra (P), 9-10 April 2005. 27. International Category Theory Conference (CT2004), Vancouver (CA), 18-24 July 2004. 28. Séminaire Iténerant de Catégories, Dunkerque (F), 5 June 2004. 29. Peripatetic Seminar on Sheaves and Logic 80, Cambridge (UK), 3-4 April 2004. 30. European Category Theory Meeting, Haute-Bodeux (B), 7-13 September 2003. 31. Peripatetic Seminar on Sheaves and Logic 78, Strasbourg (F), 15-16 February 2003. 8 Visits abroad 1. 24 January - 7 February 2013, University of Cambridge (UK). 2. 14 December 2010-13 April 2011, University of Cape Town (SA). 3. 3-11 November 2009, University of Cambridge (UK). 4. 5-14 November 2008, Universidade de Coimbra (P). 5. 12-14 September 2006, Université du Littoral Cote d Opale, Calais (F). 6. 27 August - 3 September 2006, Université du Littoral Cote d Opale, Calais (F). 8

7. 18-26 February 2006, Université du Littoral Cote d Opale, Calais (F). 8. 17-21 January 2005, Université du Littoral Cote d Opale, Calais (F). 9. 3-5 June 2004, Université du Littoral Cote d Opale, Calais (F). 9