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My research is focussed on the areas of combinatorics, algebra, finite geometry, incidence geometry, finite fields and coding theory. More specifically, finite semifields (nonassociative division algebras), projective planes, Segre varieties, geometry of tensor product spaces, translation generalised quadrangles (equivalent to the theory of eggs in projective spaces), polynomial techniques in finite geometry, field reduction techniques, linear sets and the links between incidence geometry and coding theory.
PUBLICATIONS 
FinInG
FinInG
Now available for download!
FinInG is a GAP package that provides users with the basic tools to work in various areas of finite incidence geometry, from the realms of projective spaces to the flat lands of generalised polygons. It uses the algebraic power of GAP, particularly its implementation of matrix and permutation groups. It also serves as a great learning tool for students interested in Finite Geometry!
Don't hesitate to try it out!
publications
Preprints are available for most of my published research articles. These preprints may differ from the published version (for which I have signed a copyright agreement). In case you want a reprint of a published article (e.g. for references), you can download the publication from the journal website, or contact me.
research articles
 Planar arcs (with S. Ball) preprint.
 Classification of 8dimensional rank two commutative semifields (with M. Rodgers) preprint.

The BELrank of finite semifields (with J. Sheekey)
preprint.

Scattered Spaces in Galois Geometry
preprint.
 Classification of subspaces in F^2 \otimes F^3 and orbits in F^2\otimes F^3 \otimes F^r (with J. Sheekey)
preprint.
 Canonical forms of 2x3x3 tensors over the real field,
algebraically closed fields, and finite fields (with J. Sheekey)
preprint.

Subspaces intersecting each element of a regulus in one point, AndréBruckBose representation and clubs (with C. Zanella)
preprint.
 On BELconfigurations and finite semifields (with J. Sheekey). To appear in Des. Codes Cryptogr. preprint.
 Subgeometries and linear sets on a projective line (with C. Zanella). To appear in Finite Fields Appl. preprint.
 Field reduction and linear sets in finite geometry (with G. Van de Voorde). To appear in AMS Contemporary Math. preprint.

The isotopism problem of a class of 6dimensional rank 2 semifields and its solution (with G. Marino, O. Polverino and R. Trombetti). To appear in Finite Fields Appl. preprint.
 Geometry of the inversion in a finite field and partitions of PG(2^k1,q) in normal rational curves (with C. Zanella). Journal of Geometry, preprint.
 Orbits of the stabiliser group of the Segre variety product of three projective lines (with J. Sheekey). Finite Fields and Their Applications, preprint.
 Constant rankdistance sets of hermitian matrices and partial spreads in hermitian polar spaces (with R. Gow, J. Sheekey and F. Vanhove). Electronic Journal of Combinatorics, preprint.
 On embeddings of minimum dimension of PG(n,q)xPG(n,q) (with J. Sheekey and C. Zanella). Des. Codes Cryptogr. Available online.
 Aspects of tensor products over finite fields and Galois geometries (with J. Sheekey). Proceedings of the Academy Contact Forum
{\em Galois Geometries and Applications} at the {\em Royal Flemish
Academy of Belgium for Science and the Arts} (October 5, 2012),
(2014), S. Nikova, B. Preneel and L. Storme, Eds., pp. 95102.
 Solution to an isotopism question conerning rank 2 semifields (with G. Marino, O. Polverino and R. Trombetti). Journal of Combinatorial Designs. preprint on arXiv.
 Segre embeddings and finite semifields (with C. Zanella). Finite Fields Appl.
preprint.
 Scattered linear sets and pseudoreguli (with G. Van de Voorde). Electronic Journal of Combinatorics. preprint
 On the rank of 3x3x3tensors (with A. Pavan and C. Zanella). Linear Multilinear Algebra (2012). preprint
 Finite semifields and nonsingular tensors. Des. Codes Cryptogr. preprint
 Semifields from skew polynomial rings (with J. Sheekey). Adv. Geom. preprint
 F_qpseudoreguli of PG(3,q^3) and scattered semifields of order q^6 (with G. Marino, O. Polverino and R. Trombetti). Finite Fields Appl. (2011).
preprint
 Linear codes from projective spaces (with G. Van de Voorde en L. Storme).
Proceedings of the Conference on ErrorCorrecting Codes, Cryptography
and Finite Geometries, AMS book seriess (2010). preprint
 Finite semifields with a large nucleus and higher secant varieties to Segre varieties. Adv. Geom. (2011). preprint
 On linear sets on a projective line (with G. Van de Voorde). Des. Codes Cryptogr. (2010). preprint
 A proof of the linearity conjecture for kblockings sets in PG(n,q^3), q prime (with L. Storme and G. Van de Voorde). J. Combin. Theory Ser. A (2011). preprint
 An empty interval in the spectrum of small weight codewords in the code from points and kspaces of PG(n,q). J. Combin. Theory Ser. A (available online 29 January 2009) (with L. Storme, P. Sziklai and G. Van de Voorde). preprint
 On the isotopism classes of finite semifields. Finite Fields Appl. 14 (2008) 897910. preprint
 On the code generated by the incidence matrix of points and kspaces in PG(n, q) and its dual. Finite Fields and Appl. 14 (2008) 10201038 (with L. Storme and G. Van de Voorde). preprint
 On the HughesKleinfeld and Knuth's semifields two dimensional over a weak nucleus. Des. Codes Cryp
togr. 44 (2007), no. 13, 6367 (with S. Ball). preprint
 A geometric construction of finite semifields. J. Algebra 311 (2007), no. 1, 117129 (with G.
Ebert and S. Ball). preprint
 How to use Redei polynomials in higher dimensional spaces, with S. Ball, Le Matematiche (Catani
a), 59 (2004), 3952 (2006). preprint
 On the graph of a function in two variables over a finite field, with S. Ball, J. Algebraic Combin. 23 (2006) 243253. preprint
 Sublines of prime order contained in the set of internal points of a conic. Des. Codes Cryptogr. 38 (2006), no. 1, 113123. preprint
 The two sets of three semifields associated with a semifield flock. Innov. Incidence Geom. 2 (2
005), 101107. preprint
 Characterizations and properties of good eggs in PG(4n1,q), q odd, Discrete Math. 301, (2005), 106116. preprint
 BLTsets admitting the symmetric group S_4, with M. Law, Australasian J. Combinatorics, 33 (200
5), 307316. preprint
 Semifield flocks, eggs, and ovoids of Q(4,q), Adv. Geom. 5 (2005), no. 3, 333345. preprint
 Good Eggs and Veronese Varieties, with G. Lunardon, Discrete Math. 294 (2005), no. 12, 11912
2. preprint
 Eggs in PG(4n1,q), q even, containing a pseudo pointed conic, with M. R. Brown, European J. Combin
. 26 (2005), no.1, 117128. preprint
 Good Eggs and Veronese Varieties, with G. Lunardon, Discrete Math. 294 (2005), no. 12, 11912
 Eggs in PG(4n1,q), q even, containing a pseudoconic, with M. R. Brown, Bull. London Math. Soc. 36 (2004), no. 5, 633639. preprint
 Symplectic Spreads, with S. Ball, J. Bamberg and T. Penttila, Des. Codes Cryptogr. 33 (2004) 9
14. preprint
 On the classification of semifield flocks, with Simeon Ball and Aart Blokhuis, Adv. Math. 180 (
2003) 104111. preprint
 Commutative semifields of rank 2 over their middle nucleus, with Simeon Ball, Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, Mullen, G. L. (ed) et al, SpringerVerlag, 121, 2002. preprint
 On eggs and translation generalised quadrangles, with Tim Penttila, J. Combin. Theory Ser. A 96
(2001), no. 2, 303315. preprint
 Linear (q+1)fold blocking sets in PG(2,q^{4}),
with Simeon Ball and Aart Blokhuis, Finite Fields Appl. 6 (2000), no. 4, 294301. preprint
 Scattered spaces with respect to a spread in PG(n,q), with Aart Blokhuis, Geom. Dedicata 81 (2000), no. 13, 231243. preprint
special issues
 Special issue on finite geometries in honor of Frank de Clerck. Edited by J. Bamberg, J. De Beule, N. Durante, M. Lavrauw. Des. Codes Cryptogr. (2014)
conference proceedings
 Theory and applications of finite fields. Proceedings of the 10th International Conference on Finite Fields and Their Applications (Fq 10) held in Ghent, July 1115, 2011. Edited by Michel Lavrauw, Gary L. Mullen, Svetla Nikova, Daniel Panario and Leo Storme. Contemporary Mathematics, 579. American Mathematical Society, Providence, RI, 2012. viii+204 pp. ISBN: 9780821852989. Available from the AMS bookstore.
book
 Scattered Spaces and Eggs in Finite Projective Spaces, Topics in Finite Geometry
VDM Verlag Dr. Muller Aktiengesellschaft & Co. KG (2008) ISBN10: 363906397X, ISBN13: 9783
639063974 (Available from amazon)
chapter in book
 Finite Semifields (with Olga Polverino) preprint
Chapter to appear in Current Research Topics in Galois Geometries (NOVA collected works, Eds. Jan De Beule and L. Storme) (2011) website
PhD thesis
 Scattered spaces with respect to spreads and eggs in finite projective spaces. (2001) pdf
Technische Universiteit Eindhoven, The Netherlands. Advisors: Aart Blokhuis and Andries Brouwer.
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