Research

Finite Geometry and Coding Theory

My research is situated in finite geometry and coding theory. I'm especially interested in Cameron-Liebler sets, subspace codes and intersection problems in affine, projective and polar spaces.


Publications

  • J. D'haeseleer, K. Metsch, L. Storme, G. Van de Voorde, On the maximality of a set of mutually orthogonal Sudoku Latin Squares. Des. Codes Cryptogr. 84 (1-2), p.143-152, (2017).
  • A. Blokhuis, M. De Boeck, J. D'haeseleer, Cameron-Liebler classes of k-spaces in PG(n,q). Des. Codes Cryptogr. 87(8), p.1839-1856 (2019).
  • M. De Boeck, J. D'haeseleer. Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces. Discrete Math. 343(1), (2020).
  • J. D'haeseleer, G. Van de Voorde. Translation hyperovals and F2-linear sets of pseudoregulus type.   Electron. J. Combin. 27(3), (2020).
  • J. D'haeseleer,  N. Durante, On absolute points of correlations in PG(2,qn). Electron. J. Combin. 27(2), (2020).
  • J. D'haeseleer, J. Mannaert, L. Storme, A. Švob. Cameron-Liebler line classes in AG(3,q). Finite Fields Appl. 67, (2020).
  • A. Abiad, B. De Bruyn, J. D'haeseleer, J. Koolen. Neumaier graphs with few eigenvalues. Des. Codes Cryptogr. (2021).
  • J. D'haeseleer, F. Ihringer, J. Mannaert, L. Storme. Cameron-Liebler k-sets in AG(n,q). Electron. J. Combin. 28(4), (2021).
  • J. D'haeseleer, K. Metsch, D. Werner. On the chromatic number of two generalized Kneser graphs. European J. Combin. 101 (2022) .
  • J. D'haeseleer, G. Longobardi, A. Riet, L. Storme. Maximal sets of k-spaces pairwise intersecting in at least a (k-2)-space. Electron. J. Combin. 29(1), (2022).
  • J. D'haeseleer. Hilton-Milner results in projective and affine spaces. Adv. Geom. 23(1), p.1-24, (2023).
  • A. Blokhuis, M. De Boeck, J. D'haeseleer. On the sunflower bound for k-spaces, pairwise intersecting in a point. Des. Codes Cryptogr. 90, p.2101-2111, (2022)
  • J. De Beule, J. D'haeseleer, F. Ihringer, J. Mannaert. Degree 2 Boolean functions on Grassmann graphs. Electron. J. Combin. 30(1), (2023).
  •  J. D'haeseleer, K. Metsch, D. Werner. On the chromatic number of some generalized Kneser graphs. J. Combin. Des. 31(4), p.179-204, (2023).
  •  L. Denaux, J. D'haeseleer, G. Van de Voorde. A higgledy-piggledy set of planes based on the ABB-representation of linear sets. Discrete Math. 346(12), (2023).
  •  A. Abiad, J. D'haeseleer, W. H. Haemers, R. Simoens. Cospectral mates for generalized Johnson and Grassmann graphs. Linear Algebra Appl. 687, p.1-15, (2023)
  • A. Bishnoi, J. D'haeseleer, D. Gijswijt, A. Potukuchi. Blocking sets, minimal codes and trifferent codes. (submitted, ArXiv: 2301.09457).
  • J. D'haeseleer, K. Meagher, V. R. T. Pantangi, Cameron-Liebler sets in permutation groups. (submitted, ArXiv: 2308.08254).
  • M. De Boeck, J. D'haeseleer, M. Rodgers, Regular ovoids and Cameron-Liebler sets of generators in polar spaces. (submitted, ArXiv: 2310.14739).
  • J. D'haeseleer, F. Ihringer, K.-U. Schmidt, A common generalization of hypercube partitions and ovoids in polar spaces. (submitted, ArXiv:2401.10523).

PhD Thesis

Families of Intersecting Subspaces, Ghent University (2021).

Talks


  • 11-09-2017, Finite Geometries (5th Irsee conference), Irsee (Germany), The Improvement of the Sunflower bound.
  • 28-03-2018, Finite Geometry Seminar, Eötvös Lorànd University, Budapest (Hungary), New definitions for Cameron-Liebler sets.
  • 25-05-2018, Poster presentation PhD-day,  Ghent (Belgium), Cameron-Liebler sets of k-spaces in PG(n,q).
  • 05-06-2018, Combinatorics 2018, Arco (Italy), Cameron-Liebler sets of k-spaces in PG(n,q).
  • 13-09-2018, Geometry Seminar, Naples (Italy), Cameron-Liebler sets in projective and polar spaces: an overview.
  • 12-11-2018, Colloquim Coding Theory and Cryptography, Ghent (Belgium), On large subspace codes.
  • 13-12-2018, PhD Seminar Mathematics, Ghent  (Belgium), Cameron-Liebler sets in projective and polar spaces: an overview.
  • 04-02-2019, CoGeNt Seminar, Christchurch (New Zealand), Cameron-Liebler sets in projective and polar spaces.
  • 11-04-2019, Mathematics and Statistics Seminar, Christchurch (New Zealand), Erdös-Ko-Rado theorems.
  • 28-05-2019, CanaDAM 2019, Vancouver (Canada), Projective solids pairwise intersecting in at least a line.
  • 04-06-2019, Fq14, 2019, Vancouver (Canada), Cameron-Liebler sets in the context of projective and polar spaces.
  • 19-06-2019, Summerschool Finite Geometry & Friends, Brussels (Belgium), Translation hyperovals and linear sets of pseudoregulus type.
  • 27-06-2019, 9th Slovenian International conference on Graph Theory, Bled (Slovenia), Projective solids pairwise intersecting in at least a line.
  • 21-08-2019, Finite Geometry and Extremal Combinatorics, Delaware (USA), Translation hyperovals and linear sets of pseudoregulus type.
  • 27-09-2019, Academy Contact Forum: Coding Theory and Cryptography, Brussels (Belgium).  Subspace codes and Erdös-Ko-Rado sets.
  • 12-02-2021, eSeminar UGent-VUB (online), The chromatic number of some generalized Kneser graphs.
  • 12-11-2021, Discrete Math and Optimization Seminar TU Delft, Erdös-Ko-Rado theorems.
  • 26-05-2022, Finite Mathematics Seminar, Rijeka (Croatia), New examples of Cameron-Liebler sets in hyperbolic quadrics.
  •  31-05-2022, Combinatorics 2022, Mantua (Italy), New examples of Cameron-Liebler sets in hyperbolic quadrics.
  • 01-09-2022, Finite Geometries (6th Irsee conference), Irsee (Germany), The André/Bruck-Bose representation of a linear set on a projective line.
  • 23-09-2022, Department Colloquium Mathematics and Statistics, Regina (Canada), Intersection problems in finite geometry.
  • 04-11-2022, Antwerp Algebra Colloquium, Antwerp (Belgium), Erdös-Ko-Rado problems in finite geometry.
  • 20-01-2023, Dutch-Belgian Seminar in Discrete Mathematics Ghent (Belgium), New examples of Cameron-Liebler sets in classical polar spaces.
  • 22-02-2023, Conference Aart and Combinatorics, Izmir (Turkey), Intersection problems in projective geometries. Plenary talk.
  • 01-03-2023, Methusalem workshop on Classical Analysis and PDEs, Ghent (Belgium), Erdös-Ko-Rado problems in finite geometry.
  • 19-04-2023, Workshop Combinatorics in Digital Communication, Eindhoven (The Netherlands), On the sunflower bound for k-spaces pairwise intersecting in a point.
  • 05-07-2023, Rijeka Conference on Combinatorial Objects and Their Applications, Rijka (Croatia), The chromatic number of some generalized Kneser graphs.
  • 13-07-2023, SIAM Conference on Applied Algebraic Geometry, Eindhoven (The Netherlands), On the sunflower bound for k-spaces pairwise intersecting in a point. 

Research stays and Summer schools

  • January 2018, Technical University of Eindhoven (The Netherlands), Host prof. A. Blokhuis.
  • March 2018, Eötvös Lorànd University, Budapest (Hungary), Host prof. T. Szönyi.
  • August 2018, Technical University of Eindhoven (The Netherlands), Host prof. A. Blokhuis.
  • September 2018, Universita Degli Studi Di Napoli Frederico II (Italy), Host prof. G. Lunardon.
  • November 2018, "GAP in Algebraic Research", RWTH Aachen University.
  • February-April 2019, University of Canterbury, Christchurch (New Zealand), Host dr. G. Van de Voorde.
  • June 2019, "Summerschool Finite Geometry & Friends" Vrije Universiteit Brussel. 
  • December 2019, Eötvös Lorànd University, Budapest (Hungary), Host prof. T. Szönyi.
  • February-March 2020, Justus Liebig University Giessen (Germany), Host prof. K. Metsch. 
  • August 2020, Justus Liebig University Giessen (Germany), Host prof. K. Metsch.
  • July 2021, University of Padova (Vicenza, Italy), Host dr. G. Longobardi.
  • November 2021, Technical University of Delft (The Netherlands), Host prof. A Bishnoi.
  • March 2022, Sapienza Università di Roma (Italy), Host prof. V. Pepe.
  • April 2022, Eötvös Lorànd University, Budapest (Hungary), Host prof. T. Szönyi.
  • May 2022, University of Rijeka (Croatia), Host dr. M. De Boeck.
  • September-October 2022, University of Regina (Canada), Host prof. K. Meagher.
  • March 2023, Paderborn University (Germany), Host prof. K.-U. Schmidt.
  • September 2023, "Summerschool Finite Geometry & Friends" Vrije Universiteit Brussel. 
  • October 2023, Università degli Studi di Perugia (Italy), Host prof. D. Bartoli.

Teaching

  • 2017-2018   Excercises of Discrete Mathematics I (1st bachelor of Mathematics).
                            Excercises of Discrete Mathematics II (1st bachelor of Mathematics).
  • 2018-2019   Excercises of Discrete Mathematics I (1st bachelor of Mathematics).
                            Excercises of Galois Geometries (master of Pure Mathematics).
  • 2019-2020   Excercises of Discrete Mathematics I (1st bachelor of Mathematics).
                            Excercises of Linear Algebra and Geometry (1st bachelor of Physics).
  • 2020-2021   Excercises of Discrete Mathematics I (1st bachelor of Mathematics). 
  • 2021-2022   Excercises of Discrete Mathematics I (1st bachelor of Mathematics).
                            Theory and excercises of Galois Geometries (master of Pure Mathematics).     
  • 2022-2023   Excercises of Discrete Mathematics I (1st bachelor of Mathematics).
                            Theory and excercises of Galois Geometries (master of Pure Mathematics).     
  • 2023-2024   Excercises of Discrete Mathematics I (1st bachelor of Mathematics).
                            Theory and excercises of Galois Geometries (master of Pure Mathematics).     

Krijgslaan 281, 9000 Ghent, Belgium.
Campus De Sterre, building S8, office 130.015.

jozefien.dhaeseleer@ugent.be

09 264 49 16