ericjespers.github.io

Eric Jespers

Emeritus Professor

Vrije Universiteit Brussel
Faculty of Sciences
Department of Mathematics and Data Science
Pleinlaan 2, B-1050
Brussel, Belgium

Previous Positions

Vrije Universiteit Brussel, Full Professor (Belgium)

Vrije Universiteit Brussel, Dean Faculty of Sciences and Bio-Engineering Sciences (2015-2019)

Vrije Universiteit Brussel, Head Department of Mathematics (2004-2008)

Memorial University of Newfoundland, Full Professor and University Research Professor (Canada)

University of Cape Town, Associate Professor (South Africa)

University of Stellenbosch, Lecurer (South Africa)

K.U. Leuven. Assistant (Belgium)

Recent Publications: papers

2023

  1. Andreas Bächle, Geoffrey Janssens, Eric Jespers, Ann Kiefer and Doryan Temmerman, Abelianization and fixed point properties of units in integral group rings (MANA2514), Volume 296 (2023), issue 1, 8-56, DOI: 10.1002/mana.202000514.

  2. Ferran Cedó, Eric Jespers, Lukasz Kubat, Arne Van Antwerpen, Charlotte Verwimp, On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang–Baxter equation, 35 pages, Journal of Pure and Applied Algebra 227 (2023), no. 2, Paper No.107194.

  3. G. Janssens, E. Jespers, O. Schnabel, Units of twisted group rings and their correlations to classical group rings, preprint.

2022

  1. E. Jespers, A. Van Antwerpen, L. Vendramin, Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation, Communications in Contemporary Mathematics (2022) 2250064 (20 pages), DOI: 10.1142/S021919972250064X.

  2. I. Colazzo, E. Jespers, A. Van Antwerpen and C. Verwimp, Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses, Journal of Algebra 610 (2022) 409–462.

  3. Andreas Bächle, Geoffrey Janssens, Eric Jespers, Ann Kiefer and Doryan Temmerman, A dichotomy for integral group rings via higher modular groups as amalgamated products, J. Algebra 604 (2022), 185–223.

  4. Ferran Cedó, Eric Jespers, Charlotte Verwimp, Corrigendum to ``Structure monoids of set-theoretic solutions of the Yang–Baxter equation’’, 9 pages, Publ. Mat., accepted 22 March 2022.

  5. F. Cedó, E. Jespers, J. Okniński, Primitive set-theoretic solutions of the Yang-Baxter equation, Communications in Contemporary Mathematics, Vol. 24, No. 09, 2150105 (2022).

2021

  1. Eric Jespers, Wei-Liang Sun, Nilpotent decomposition in integral group rings. J. Algebra 575 (2021), 127–158.

  2. Andreas Bächle, Mauricio Caicedo, Eric Jespers and Sughanda Maheshwary, Global and local properties of finite groups with only finitely many central units in their integral group ring, J. Group Theory 24 (2021), no. 6, 1163–1188, DOI 10.1515/jgth-2020-0165.

  3. E. Jespers, L. Kubat, A. Van Antwerpen, L. Vendramin, Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation, Advances in Mathematics 385 (2021), Paper No. 107767, 20 pp.

  4. E. Jespers, Structure of group rings and the group of units of integral group rings: an invitation, Indian J. Pure Appl. Math. 52 (2021), no. 3, 687–708. https://doi.org/10.1007/s13226-021-00179-5.

  5. F. Cedó, E. Jespers, C. Verwimp, Structure monoids of set-theoretic solutions of the Yang-Baxter equation, Publ. Mat. 65 (2021), 499–528.

  6. F. Cedó, Eric Jespers and Jan Okniński, Every finite abelian group is a subgroup of the additive group of a finite simple left brace, J. Pure Appl. Algebra 225 (2021), no. 1, Paper No. 106476, 10 pp.

  7. F. Cedó, Eric Jespers and Jan Okniński, Set-theoretic solutions of the Yang–Baxter equation, associated quadratic algebras and the minimality condition, Rev. Mat. Complut. 34 (2021), no. 1, 99–129.

2020

  1. I. Colazzo, E. Jespers, L. Kubat, Set-theoretic solutions of the Pentagon Equation, Comm. Math. Phys. 380 (2020), no. 2, 1003–1024.

  2. Eric Jespers, Lukasz Kubat and Arne Van Antwerpen, Corrigendum and Addendum to ``The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation’’, Trans. Amer. Math. Soc. 373 (2020), 4517–4521. https://doi.org/10.1090/tran/8057.

  3. Ferran Cedó, Eric Jespers and Jan Okniński, An abundance of simple left braces with abelian multiplicative Sylow subgroups, Rev. Mat. Iberoam. 36 (2020), no. 5, 1309–1332.

2019

  1. E. Jespers, L. Kubat, A. Van Antwerpen, L.Vendramin, Factorization of skew braces, Math. Ann. 375 (2019), no. 3-4, 1649–1663. ISSN: 0025-5831 (print), 1432-1807 (electronic)

  2. Eric Jespers, Lukasz Kubat and Arne Van Antwerpen, The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation, Trans. Amer. Math. Soc. 372 (2019), no. 10, 7191–7223.

  3. Eric Jespers, David Riley and Mayada Shahada, On polynomials that are not quite an identity on an associative algebra, Israel J. Math. 234 (2019), no. 1, 371–391. ISSN: 0021-2172 (print), 1565-8511 (electronic)

  4. E. Jespers and A. Van Antwerpen, Left semi-braces and solutions to the Yang–Baxter equation, Forum Math. (2019) (31), 241–263, https://doi.org/10.1514/forum–2018–0039, ISSN: 1435-5337.

  5. David Bachiller, Ferran Cedó, Eric Jespers and Jan Okniński, Asymmetric product of left braces and simplicity; new solutions of the Yang-Baxter equation. Commun. Contemp. Math. 21 (2019), no. 8, 1850042, 30 pp. ISSN (print): 0219-1997 ISSN (online): 1793-6683.

2018

  1. D. Bachiller, F. Cedó, E. Jespers, J. Okniński, Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation, Transactions of the American Mathematical Society, Trans. Amer. Math. Soc. 370 (2018), no. 7, 4881–4907. ISSN: 0002-9947 (print), 1088-6850 (electronic)

2017

  1. E. Jespers, M. Van Campenhout, Finitely generated algebras defined by homogeneous quadratic monomial relations and their underlying monoids II. J. Algebra 492 (2017), 524–546. ISSN: 0021-8693.

  2. D. Bachiller, F. Cedo, E. Jespers, J. Okninski, A family of irretractable square-free solutions of the Yang-Baxter equation, Forum Math. 29(6) (2017), 1291–1306. ISSN: 1435-5337.

  3. G. Janssens, E. Jespers, D. Temmerman, Free products in the unit group of the integral group ring of a finite group, Proc. Amer. Math. Soc. 145 (2017), no. 7, 2771–2783.

  4. A. Gordienko, G. Janssens, E. Jespers, Semigroup graded algebras and graded pi-exponent, Israel J. Math. 220 (2017), no. 1, 387–452.

Publications: books

  1. E. G. Goodaire, E. Jespers and C. Polcino Milies, Alternative loop rings, North-Holland Mathematics Studies Vol.184, Amsterdam, 1996.

  2. E. Jespers and J. Okniński, Noetherian semigroup algebras, Series: Algebra andApplications, Vol. 7, Springer, 2007. Hardcover ISBN-10: 1-4020-5809-8 ISBN-13: 978-1-4020-5809-7.

  3. E. Jespers, A. del Rio, Group Ring Groups, Vol 1: Orders and Generic Constructions of Units, Volume I, De Gruyter, Berlin, 447 pages, 2015. ISBN 978-3-11-037278-6, eBook (PDF) ISBN 978-3-11-037294-6, eBook (EPUB), ISBN 978-3-11-038617-2. 2015.

  4. E. Jespers, A. del Rio, Group Ring Groups, Vol 2: Structure Theorems of Unit Groups, De Gruyter, Volume II, De Gruyter, Berlin, 217 pages. 2015. ISBN 978-3-11-041149-2, eBook (PDF), ISBN 978-3-11-041150-8, eBook (EPUB), ISBN 978-3-11-041275-8.

Ph.D. students supervised

https://www.mathgenealogy.org/id.php?id=67803

  1. F. Decruyenaere, 1988-1991, ph.d.: Divisibility Properties of Rings, doctoral degree awarded January 1991, K.U. Leuven.
  2. M. Clase, 1990-1993, ph.d.: Semigroup graded rings, doctoral degree awarded August 1993, Memorial University of Newfoundland.
  3. D. Wang, 1992-1995 , ph.d.: Units of semigroup rings, doctoral degree awarded August 1995, Memorial University of Newfoundland. 4 Q. Wang, 1996-1999, ph.d.: Hereditary semigroup rings and maximal orders, doctoral degree awarded April 2000, Memorial University of Newfoundland.
  4. A. Dooms (FWO), ph.d.: Units in non-commutative orders, doctoral degree awarded March 2004, VUB.
  5. I. Goffa (IWT), 2005-2008, ph.d.: Noetherian semigroup algebras and prime maximal orders, doctoral degree awarded April 2008.
  6. M. H. Shahzamanian, Finite semigroups and their non-nilpotent graphs, 2010-2012, VUB, doctoral degree awarded dec. 2012.
  7. A. Kiefer, FWO, Units in Integral Group Rings via Fundamental Domains and Hyperbolic Geometry, doctoral degree awarded May 2014.
  8. G. Klein, Finitely presented algebras defined by permutation relations, doctoral degree granted October 2014.
  9. I. Van Gelder, Group representations: idempotents in group algebras and applications to units, 2010-2015, VUB, doctoral degree awarded March 2015.
  10. M. Van Campenhout,Finitely generated algebras defined by homogeneous quadratic monomial relations and their underlying monoids, 2010-2016, VUB,
    doctoral degree awarded September 2016.
  11. G. Janssens, Identities of Affine Algebras and their asymptotic behaviour, 2012–2018, VUB, doctoral degree awarded May 19, 2017.
  12. A. Van Antwerpen, The algebra of the Yang-Baxter equation, 2016-2020, doctoral degree awarded June 2020.
  13. D. Temmerman, Fixed point properties for low rank linear groups over orders and applications to integral group rings, May 2019.
  14. C. Verwimp, Set-theoretic solutions of the Yang-Baxter equation and associated algebraic structures, May 2022.

Post-Doctoral Fellows

  1. Dr. G. Leal, University of Rio de Janeiro
  2. Dr. L. Xavier de Barros, University of Sao Paulo
  3. Dr. S.O. Juriaans, University of Sao Paulo
  4. Dr. M. Ruiz, University of Cartagena (Spain)
  5. Dr. A. Dooms, Vrije Universiteit Brussel
  6. Dr. P. Veloso, Universidade Federal Fluminense
  7. Dr. A. Konovalov, University of St. Andrews
  8. Dr. G. Olteanu, Babes-Bolyai University
  9. Dr. F. Eisele, University of Manchester
  10. Dr. A. Gordienko, M.V. Lomonosov Moscow State University
  11. Dr. A. Bächle
  12. Dr. E. Iwaki, Federal University of ABC
  13. Dr. M. Caicedo
  14. Dr. A. Kiefer, Université du Luxembourg
  15. Dr. S. Spenko, Non-commutative geometry, 1 Oct 2017 - 30 Sept 2020.
  16. Dr. L. Margolis, ICMAT
  17. Dr. Ł. Kubat, Warsaw University
  18. Dr. G. Janssens, FWO, FNRS
  19. Dr. I. Colazzo, University of Exeter