Anneleen De Schepper

PhD Student in Mathematics

About Me

picture by Laura Andriessen

My name is Anneleen De Schepper. I'm doing a PhD in Mathematics at Ghent University, funded by the FWO-Flanders and supervised by prof. H. Van Maldeghem (UGent) and dr. J. Schillewaert (University of Auckland).
I'm part of the research group Incidence Geometry.


Contact info: Anneleen.DeSchepper AT UGent.be

Research

I am an incidence geometer and my favourite geometries are those associated to buildings of exceptional type.
The way I generally see those objects is as parapolar spaces: point-line geometries with certain axioms.

More precisely, my current research interest are:



  • Characterisations of Veronese varieties associated to some spherical buildings occurring in the second row of the Freudenthal-Tits magic square
    (this is the main part of my PhD Thesis, for more information see the poster below).

  • The theory of parapolar spaces
    (e.g., classification results, a possible extension of this notion to singular symps);

  • Embeddings/constructions of exceptional spherical buildings
    (e.g., the subbuildings of exceptional type inside the exceptional spherical buildings of type E6 and E7)

  • Properties of projective and polar spaces and their automorphism groups
  • The poster below is a graphic representation of a main topic of my Ph.D.



    Work

    PhD Thesis

  • Characterisations and classifications in the theory of parapolar spaces (2019).
  • Publications

  • A. De Schepper, H. Van Maldeghem, Graphs, defined by Weyl distance or incidence, that determine a vector space, Linear Algebra and its Applications, 449 (2014), 435-464.
  • A. De Schepper, N.S.N. Sastry, H. Van Maldeghem, Split buildings of type F4 in buildings of type E6, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 88 (2017), 97-160.
  • A. De Schepper, H. Van Maldeghem, Maps of polar spaces preserving a certain Weyl distance or intersection and projection properties , Journal of Comb. Theory, series A, 160 (2018), 332 - 408
  • A. De Schepper, O. Krauss, J. Schillewaert, H. Van Maldeghem, Veronesean representations of projective spaces over quadratic associative algebras, Journal of Algebra (to appear)
  • A. De Schepper, J. Schillewaert, H. Van Maldeghem, M. Victoor, On exceptional Lie geometries, submitted
  • A. De Schepper, H. Van Maldeghem, Veronese representation of projective Hjelmslev planes over Cayley-Dickson algebras, submitted
  • A. De Schepper, N.S.N Sastry, H. Van Maldeghem, Buildings of exceptional type in a building of exceptional type E7 , in progress
  • A. De Schepper, Split geometries associated to (generalised) dual numbers , in progress


  • Talks

    October 2018 • Buildings (Muenster, Germany)
    Holy geometries
    April 2018 • Seminar on Algebra and Combinatorics (Auckland, New Zealand)
    A geometric counterpart to the Cayley Dickson Doubling Process
    October 2017 • Buildings (Muenster, Germany)
    Characterising singular Veronese varieties
    September 2017 • Buildings and Symmetry (Perth, Australia)
    Between the split and nonsplit Magic Square
    May 2017 • 9th Shanghai Conference on Combinatorics (Shanghai, China)
    Singular Veronese varieties
    March 2017 • Seminar on Incidence Geometry and Buildings (Brussels, Belgium)
    Singular Mazzocca-Melone sets
    September 2015 • Mini-composium on Octonions (Hamburg, Germany)
    Degenerate Cayley-Dickson algebras
    September 2015 • Geornate di Ceometria (Caserta, Italy)
    A new dimension in the Magic Square
    November 2014 • 50 years of finite geometry: a conference on the occasion of Jef Thas's 70th birthday (Ghent, Belgium)
    Maps related to polar spaces preserving a Weyl distance
    September 2014 • Buildings (Muenster, Germany)
    Veronesean representations of projective spaces over associative quadratic algebras
    July 2014 • Seminar (Londen, United Kingdom)
    Graphs related to classical groups and geometries
    September 2013 • Buildings (Muenster, Germany)
    Variations on the fundamental theorem of projective geometry


    View all slides

    A geometric counterpart to the Cayley Dickson Doubling Process

    Auckland, April 2018

    View all slides

    Between the split and non-split Magic Square

    Perth, October 2017

    View all slides

    Incidence Geometry and Buildings

    VUB, March 2017




    Attended conferences

    June 2019 • Baer Colloquium (Muenster, Germany)
    January 2018 • Baer Colloquium (Braunschweig, Germany)
    October 2017 • Buildings (Muenster, Germany)
    September 2017 • Buildings and Symmetry (Perth, Australia)
    August 2017 • Symmetries of Discrete Structures in Geometry (Oaxaca, Mexico)
    May 2017 • 9th Shanghai Conference on Combinatorics (Shanghai, China)
    January 2017 • Baer Colloquium (Berlin, Germany)
    May 2016 • Groups, geometry and the influence of Jacques Tits - A conference in honour of Richard Weiss (Karlsruhe, Germany)
    March 2016 • Sheds (Muenster, Germany)
    September 2015 • Buildings (Muenster, Germany)
    September 2015 • Mini-composium on Octonions (Hamburg, Germany)
    September 2015 • Geornate di Geometria (Caserta, Italy)
    January 2015 • Winter meeting on Bruhat-Tits buildings (London, United Kingdom)
    November 2014 • 50 years of finite geometry: a conference on the occasion of Jef Thas's 70th birthday (Ghent, Belgium)
    September 2014 • Buildings (Muenster, Germany)
    May 2014 • Baer Colloquium (Ghent, Belgium
    November 2013 • Baer Colloquium (Kaiserslautern, Germany)
    September 2013 • Buildings (Muenster, Germany)




    Non-Related

    Apart from mathematics, I like swimming, biking and running. One day I might call it triatlon.