Publications

Peer reviewed

• (with A. Bächle, S. Maheshwary and Á. del Río) Gruenberg-Kegel graphs: cut groups, rational groups and the Prime Graph Question, accepted in Formum Mathematicum. [arXiv Version].
• (with A. Bächle, G. Janssens, E. Jespers and D. Temmerman) A dichotomy for integral group rings via higher modular groups as amalgamated products, Journal of Algebra, Volume 604, 2022, Pages 185-223. [arXiv Version].
• (with A. Bächle, G. Janssens, E. Jespers and D. Temmerman) Abelianization and Fixed Point Properties of Units in Integral Group Rings. Math. Nachr. 00 (2022), 1– 49. [arXiv Version].
• On units in orders in 2-by-2 matrices over quaternion algebras with rational center. Groups Geom. Dyn., 14(1):213–242, 2020. [arXiv Version].
• (with E. Jespers, S.O. Juriaans, A. De A. E Silva and A.C. Souza Filho) Dirichlet-Ford domains and double Dirichlet domains. Bull. Belg. Math. Soc. Simon Stevin,
  23(3):465– 479, 2016. [arXiv version]
• (with E. Jespers and A. Del Río) Presentations of groups acting discontinuously on direct products of hyperbolic spaces. Math. Comp., 85(301):2515–2552, 2016. [arXiv version]
  
• (with E. Jespers and A. Del Río) Revisiting Poincaré’s theorem on presentations of discontinuous groups via fundamental polyhedra. Expo. Math., 33(4):401–430, 2015.
  [arXiv version]
  
• (with F. Eisele and I. Van Gelder) Describing units of integral group rings up to commensurability. J. Pure Appl. Algebra, 219(7):2901–2916, 2015. [arXiv version]
  
• (with E. Jespers, S. O. Juriaans, A. de A. e Silva and A. C. Souza Filho)
  From the Poincaré theorem to generators of the unit group of integral group rings of finite groups. Math. Comp., 84(293):1489–1520, 2015. [arXiv version]
  
• (with D. Leemans) On pairs of commuting involutions in Sym(n) and Alt(n).
  Communications in Algebra, 41(12):4408–4418, 2013. [preprint]
  
• (with D. Leemans) On the number of abstract regular polytopes whose automorphism
  group is a Suzuki simple group Sz(q). J. Combin. Theory Ser. A, 117(8):1248–1257,
  2010. [preprint]
  

E-prints

• (with S. Baumann and D. Harion) Discover Life on Mars with a Rover - Didaktischer Kommentar [available online].
• (with D. Harion) Involution - Didaktischer Kommentar [available online].
• (with T. Lenz) Data Viz Superpowers - Didaktischer Kommentar [available online].
  
• (with I. Baumann and D. Harion) Pupils vs Machine - Indication Didactique [available online].
  

Miscellaneous

• (with P. Igodt) Sophie germain een onvoldoende bekende pionier. Vector 6 - Tijdschrift voor wiskundeonderwijs, September 2019.
• Le théorème de Fermat vu par M. Le Blanc (Fermat’s Theorem seen by M. Le Blanc). Brussels Summer School of Mathematics, Notes de la cinquième BSSM, pages 51–65,
  2012 [preprint]
  

Theses

• Polyhedra associated to Symmetric and Alternating Groups. Master Thesis,
  Université Libre de Bruxelles, 2010: pdf
• Units in integral group rings via fundamental domains and hyperbolic geometry.
  PhD Thesis, Vrije Universiteit Brussel, 2014: pdf