# Work

### 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 F_{4} in buildings of type E_{6}, 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, 521 (2019), 166-199.
A. De Schepper, J. Schillewaert, H. Van Maldeghem, M. Victoor, A geometric characterisation of the Hjelmslev-Moufang planes , submitted
A. De Schepper, H. Van Maldeghem, Veronese representation of projective Hjelmslev planes over Cayley-Dickson algebras, A. Results in Mathematics 75:9 (2020), 51pp, to appear.
A. De Schepper, J. Schillewaert, H. Van Maldeghem, M. Victoor, On exceptional Lie geometries, submitted
A. De Schepper, J. Schillewaert, H. Van Maldeghem, A uniform characterisation of the varieties of the second row of the Freudenthal-Tits magic square, submitted
A. De Schepper, N.S.N Sastry, H. Van Maldeghem, Buildings of exceptional type in a building of exceptional type E_{7}, in progress
A. De Schepper, Split geometries associated to (generalised) dual numbers, in progress
### PhD Thesis

Characterisations and classifications in the theory of parapolar spaces (2019).
### Talks

For the talks in blue, the slides are available; the talks in

red were blackboard talks.

** February 2020 • ** Symmetries of Discrete Objects

(Rotorua, New Zealand)
Moufang meets Severi
** November 2019 • ** Geometry and Topology Seminar

(Sydney, Australia)
* Point-line geometries related to (exceptional) spherical buildings *
** October 2019 • ** PhD Seminar on Geometry

(Ghent, Belgium)
* Partial classification results for parapolar spaces. *
** October 2019 • ** Buildings

(Magdeburg, Germany)
* The magic box *
** August 2019 • ** British Combinatorial Conference

(Birmingham, United Kingdom)
Projective planes with polar spaces
** October 2018 • ** Buildings

(Muenster, Germany)
* Holy geometries *
** May 2018 • ** The Belgian Mathematical Society PhD day

(Ghent, Belgium)
* Plane geometries on the line (poster) *
** 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
## (Hjelmslev) projective planes with polar spaces

#### Birmingham, July 2019

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

### Attended conferences

** October 2019 • ** Symmetries of Discrete Objects (SODO 2020)

(Magdeburg, Germany)
** August 2019 • ** Groups and geometries (BIRS workshop)

(Banff, Canada)
** August 2019 • ** Perspectives in linear algebraic groups (summer school)

(Bochum, Germany)
** August 2019 • ** British Combinatorial Conference

(Birmingham, United Kingdom)
** June 2019 • ** Baer Colloquium

(Giessen, Germany)
** October 2018 • ** Buildings

(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)