Working Thesis Title
Generalised Polygons And Related Structures In Incidence And Finite Geometry.
Generalised Polygons play an important role in both incidence and finite geometry as building blocks for larger geometries. Current research to increase our understanding comes from multiple directions; it is my goal to contribute to two of these. The first is motivated by coding theory. Here we mostly consider substructures of finite projective spaces. The second direction has an algebraic origin. Here I will mainly consider embeddings of generalised hexagons.
Supervisors:
Primary Supervisor: Geertrui Van de Voorde.
Secondary Supervisor: Jeroen Schillewaert (University of Auckland).
Research interests
Incidence Geometry, Finite geometry, Algebra, Algorithms.
Academic History
- 2017-2020 B. Sc. in Mathematics at Ghent University (Belgium).
- 2020-2022 M. Sc. in Mathematics (Pure mathematics) at Ghent University (Belgium).
- 2022-2024 M. Sc. in Mathematics (Applied mathematics and computer science) at Ghent Universit (Belgium) and NTNU (Norway).
- 2024-current PhD student in mathematicsat UC.
Publications
Petit S, Van Maldeghem H. Generalized hexagons embedded in metasymplectic spaces.J. Korean Math. Soc. 2023;60:907-929.
