Vrije Universiteit Brussel


Janssens Geoffrey

About me

I am an FWO postdoctoral fellow in the Algebra Research Group ALGB at the Free University of Brussels - VUB. I obtained my PhD on the 19th of May 2017 under the supervision of Eric Jespers (Brussels, VUB) and Alexey Gordienko (Moscow, MSTUCA)

My coordinates

  • Address: Vrije Universiteit Brussel
    DWIS
    Pleinlaan 2
    B-1050 Brussels
    Belgium
  • Office: 6G322B
  • Phone: +32 2 629 3474
  • E-mail: geofjans@vub.ac.be

CV

  • You can download my CV here
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Conference

We organize a conference "Groups, Rings and associated structures" in Spa, Belgium, June 09-15, 2019.

Research

Research interests

  • Ring Theory : (graded) structure theory, PI algebras, ring theoretical properties of Group Rings
  • Group Theory: Free products in (algebraic) groups, geometric group theory
  • Representation theory: of finite groups (through Group Rings), of Algebras ((tau-)Tilting theory)
  • Asymptotic theory: codimensions growth of PI algebras, word growth of groups

Published and accepted articles (in reverse chronological order)

  1. A reduction theorem for tau-rigid modules
    joint with F. Eisele and T. Raedschelders
    Math. Z. (2018), 1-37
    arXiv preprint , Journal (open access)
  2. A glimpse into the Asymptotics of polynomial identities
    Nieuw Arch. Wiskd. (5) 18 (2017), no.1, 60-64
    Journal
  3. Free products in the unit group of the integral group ring of a finite group
    joint with E. Jespers and D. Temmerman
    Proc. Amer. Math. Soc 145 (2017), no. 7, 2771-2783
    arXiv preprint, Journal
  4. The Polynomial Part of the Codimension Growth of Affine PI algebras
    joint with E.Aljadeff and Y.Karasik
    Adv. Math. 309 (2017), 487-511.
    arXiv preprint, Journal
  5. Semigroup graded algebras and graded PI-exponent
    joint with A.Gordienko and E. Jespers
    Israel J. Math. 220 (2017), no.1, 387-452.
    arXiv preprint, Journal
  6. ZS_n-modules and polynomial identities with integer coefficients
    joint with A.Gordienko
    Int. J. Algebra Comput. 23 (2013),no. 8, 1925-1943
    arXiv preprint, Journal
  7. Primitive Central Idempotents of Rational Group Algebras
    J. Algebra Appl. 12 (2013), no. 1, 125-130
    arXiv preprint, Journal

Submitted manuscripts / Preprints (in chronological order)

  1. Abelianization and fixed point properties of linear groups and units in integral group rings
    joint with A. Bächle, E. Jespers, A. Kiefer and D. Temmerman
    2019, 56 pages
    arXiv preprint
  2. Higher modular groups as amalgamated products and a dichotomy for integral group rings
    joint with A. Bächle, E. Jespers, A. Kiefer and D. Temmerman
    2019, 33 pages
    arXiv preprint
  3. Codimension Growth of Lie algebras with a generalized action
    2019, 12 pages
    arXiv preprint
  4. Glider Representation Rings with a view on distinguishing groups
    joint with F. Caenepeel
    2019, 34 pages
    arXiv preprint

Theses

  • Identities of Affine Algebras and their Asymptotic Behaviour
    Ph.D thesis
    Crazy Copy Center Productions, 2017, 201 pp, ISBN: 9789492312396
    pdf
  • The Isomorphism Problem for Integral Group Rings of Finite Groups
    Master Thesis, Vrije Universiteit Brussel, 2012: pdf

Some Beamer Talks

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Teaching

2016-2017
  • WPO Inleiding Groepen Theorie, 1st Bachelor Mathematics + 2nd BAC Fysics
  • WPO Lineaire Algebra, 1st Bachelor Computer sciences + clinics
2015-2016
  • WPO Inleiding Groepen Theorie, 1st Bachelor Mathematics + 2nd BAC Fysics
  • WPO Lineaire Algebra, 1st Bachelor Computer sciences + clinics
2014-2015
  • WPO Inleiding Groepen Theorie, 1st Bachelor Mathematics + 2nd BAC Fysics
  • WPO Lineaire Algebra, 1st Bachelor Computer sciences + clinics
  • WPO Wiskunde voor Computerwetenschappen, clinics
2013-2014
  • WPO Analyse: Afleiden, integreren en numerieke software, 1st Bachelor Mathematics + Fysics
  • here
  • WPO Wiskunde voor Computerwetenschappen, 2nd Bachelor Computer Sciences + verkort programma Computer Sciences + clinics
  • WPO Lineaire Algebra, 1st Bachelor Chemistry and Computer sciences + verkort proramma Computer Sciences
2012-2013
  • WPO Analyse: Afleiden, integreren en numerieke software, 1st Bachelor Mathematics + Fysics
  • WPO Wiskunde voor Computerwetenschappen, 2nd Bachelor Computer Sciences + verkort programma Computer Sciences +clinics
  • WPO Affiene en Projectieve meetkunde, 2nd Bachelor Mathematics
  • WPO Aanvullingen Lineaire Algebra, 1st Bachelor Mathematics
  • WPO Lineaire Algebra, 1st Bachelor Computer sciences + verkort proramma Computer Sciences
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Other

My collaborators

Links

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©2004 • Vrije Universiteit Brussel • Pleinlaan 2 • 1050 Elsene • Tel.: 02/629.21.11 • info@vub.ac.be