Curriculum Vitae. November Michel Lavrauw

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1 Curriculum Vitae November 2012 Michel Lavrauw Mailing Address: Home page: Department of Management and Engineering Università di Padova Stradella S. Nicola Vicenza, Italy michel.lavrauw@unipd.it ml Date of Birth: 02 December 1974 Place of Birth: Izegem, Belgium Nationality: Belgian Qualifications: Ph.D. in Mathematics, Eindhoven University of Technology, The Netherlands, May 2001 Supervisors: Aart Blokhuis and Andries E. Brouwer Degree in Mathematics, Ghent University, Belgium, October July 1996 Previous Positions October October 2011: FWO Research Fellow Research Foundation - Flanders. Ghent University and Vrije Universiteit Brussel, Belgium. September October 2008: Research Fellow Dep. of Pure Mathematics and Computer Algebra, Ghent University, Belgium. Funded by Ghent University (BOF) January September 2006: VENI Research Fellow Dep. of Discrete Mathematics, Technische Universiteit Eindhoven, The Netherlands. Funded by Netherlands Organisation for Scientific Research (NWO) January January 2005: Postdoctoral Research Fellow Dep. of Applied Mathematics IV, Universitat Politècnica de Catalunya, Spain. Funded by the Research Training Network COMBSTRU (European Commission) January January 2004: Marie Curie Research Fellow Dep. of Mathematics, Università degli studi di Napoli Federico II, Italy. Funded by the European Commission October October 2001: OIO (Onderzoeker In Opleiding) Dep. of Discrete Mathematics, Technische Universiteit Eindhoven, The Netherlands. Funded by Netherlands Organisation for Scientific Research (NWO) Research Research Interests Finite geometry, Galois geometry, Incidence geometry, Semifields and non associative algebra, Finite fields, Computer algebra, Coding theory, Combinatorics, Geometry of tensor products, Segre 1

2 varieties. Publications Articles submitted The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution (with G. Marino, O. Polverino, R. Trombetti). Subgeometries and linear sets on a projective line (with C. Zanella). On BEL-configurations and finite semifields (with J. Sheekey). Aspects of tensor products over finite fields and Galois geometries (with J. Sheekey). Articles accepted for publication Field reduction and linear sets in finite geometry (with G. Van de Voorde). Articles published Constant rank-distance sets of hermitian matrices and partial spreads in hermitian polar spaces. Electron. J. Combin. (2014) 21 (with R. Gow, J. Sheekey, F. Vanhove). Orbits of the stabiliser group of the Segre variety product of three projective lines. Finite Fields Appl. 26 (2014) 1 6 (with J. Sheekey). Segre embeddings and finite semifields. Finite Fields Appl. 25 (2014) 8 18 (with C. Zanella). On embeddings of minimum dimension of PG(n,q)xPG(n,q) (with J. Sheekey and C. Zanella). Des. Codes Cryptogr. Available online DOI /s Solution to an isotopism question concerning rank 2 semifields. J. Combin. Designs. (2013) doi: /jcd (with G. Marino, O. Polverino, R. Trombetti). Geometry of the inversion in a finite field and partitions of PG(2k 1, q) in normal rational curves. Journal of Geometry (2013) 1 8 (with C. Zanella). Semifields from skew polynomial rings Adv. Geom. 13 (4) (2013) (with J. Sheekey). Scattered linear sets and pseudoreguli. Electron. J. Combin. (2013) 20 (with G. Van de Voorde) On the rank of 3x3x3-tensors. Linear and Multilinear Algebra (2013) 61 (5) (with A. Pavan and C. Zanella). Finite semifields and nonsingular tensors. Des. Codes Cryptogr. (2013) 68 (1-3) F q -pseudoreguli of PG(3, q 3 ) and scattered semifields of order q 6. Finite Fields Appl. 17, 3, (2011) (with G. Marino, O. Polverino, R. Trombetti). Finite Semifields with a large nucleus and higher secant varieties to Segre varieties. Adv. Geom. 11 (2011), no. 3, A proof of the linearity conjecture for k-blocking sets in PG(n, q 3 ), q prime. J. Combin. Theory Ser. A. 118 (2011), no. 3, (with L. Storme and G. Van de Voorde). On linear sets on a projective line. Des. Codes Cryptogr. 56 (2010) no. 2-3, (with G. Van de Voorde). Linear codes from projective spaces. Error-correcting codes, finite geometries and cryptography, Contemp. Math., 523, Amer. Math. Soc., Providence, RI, 2010 (with G. Van de Voorde and L. Storme). An empty interval in the spectrum of small weight codewords in the code from points and k- spaces of PG(n, q). J. Combin. Theory Ser. A 116 (2009) (with L. Storme, P. Sziklai and G. Van de Voorde). On the isotopism classes of finite semifields. Finite Fields Appl. 14 (2008) On the code generated by the incidence matrix of points and k-spaces in PG(n, q) and its dual. Finite Fields and Appl. 14 (2008) (with L. Storme and G. Van de Voorde). On the code generated by the incidence matrix of points and hyperplanes in PG(n,q) and its dual. Des. Codes Cryptogr. 48 (2008) (with L. Storme and G. Van de Voorde). A geometric construction of finite semifields. J. Algebra 311 (2007), no. 1, (with G. 2

3 Ebert and S. Ball). On the Hughes-Kleinfeld and Knuth s semifields two dimensional over a weak nucleus. Des. Codes Cryptogr. 44 (2007), no. 1-3, (with S. Ball). On the graph of a function in two variables over a finite field, with S. Ball, J. Algebraic Combin. 23 (2006) Sublines of prime order contained in the set of internal points of a conic. Des. Codes Cryptogr. 38 (2006), no. 1, How to use Redei polynomials in higher dimensional spaces, with S. Ball, Le Matematiche (Catania), 59 (2004) (2006). The two sets of three semifields associated with a semifield flock. Innov. Incidence Geom. 2 (2005), Characterizations and properties of good eggs in PG(4n 1, q), q odd, Discrete Math. 301 (2005), BLT-sets admitting the symmetric group S 4, Australasian J. Combinatorics 33 (2005), (with M. Law). Semifield flocks, eggs, and ovoids of Q(4, q), Adv. Geom. 5 (2005), no. 3, Good Eggs and Veronese Varieties, Discrete Math. 294 (2005), no. 1-2, (with G. Lunardon). Eggs in P G(4n 1, q), q even, containing a pseudo pointed conic, European J. Combin. 26 (2005), no.1, (with M. R. Brown). Symplectic Spreads, Des. Codes Cryptogr. 33 (2004) 9 14 (with S. Ball, J. Bamberg and T. Penttila). Eggs in PG(4n 1, q), q even, containing a pseudo-conic, Bull. London Math. Soc. 36 (2004), no. 5, (with M. R. Brown). On the classification of semifield flocks, Adv. Math. 180 (2003) (with S. Ball and A. Blokhuis). Commutative semifields of rank 2 over their middle nucleus, Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, Mullen, G. L. (ed) et al, Springer-Verlag, 1 21, 2002 (with S. Ball). On two-intersection sets with respect to hyperplanes in projective spaces, J. Combin. Theory Ser. A 99 (2002), no. 2, (with A. Blokhuis). On eggs and translation generalised quadrangles, J. Combin. Theory Ser. A 96 (2001), no. 2, (with T. Penttila). Scattered spaces with respect to a spread in PG(n, q), Geom. Dedicata 81 (2000), no. 1-3, (with A. Blokhuis). Linear (q + 1)-fold blocking sets in PG(2, q 4 ), Finite Fields Appl. 6 (2000), no. 4, (with S. Ball and A. Blokhuis). Book Scattered spaces and eggs in finite projective spaces: Topics in Finite Geometry. VDM Verlag Dr. Mller (2008) 116 pages, ISBN-10: X, ISBN-13: Chapter in book Finite Semifields (with O. Polverino). In Current research topics on Galois geometries, Nova Science Publishers. (Eds L. Storme and J. De Beule) (2011) ISBN: Proceedings Theory and Applications of Finite Fields. Edited by: M. Lavrauw, G. L. Mullen, S. Nikova, D. Panario, L. Storme. Contemporary Mathematics 2012; 204 pp; Volume: 579, ISBN-10: , ISBN-13:

4 Editorial Special issue on finite geometries in honor of Frank De Clerck. Des. Codes Cryptogr. (2014) 1 5 doi: /s y (with J. Bamberg, J. De Beule, N. Durante). Scholarly Activities Invited lectures at international conferences Workshop and summer school on finite semifields, September 9-13, 2013, Padova, Italy. Lecture 1: Finite Semifields: basic definitions, early examples and first results. Lecture 2: Introduction to projective planes. Lecture 3: The Knuth orbit and the BEL-construction. Academy Contact Forum Galois geometries and applications, October 5, 2012, Brussels, Belgium. Talk: Aspects of tensor products over finite fields and Galois geometries. Finite Geometries, Third Irsee Conference, June 19-25, 2011, Irsee, Germany. Talk: Finite semifields and nonsingular tensors. Diamant Symposium, Heeze, The Netherlands, May 26-27, Talk: Semifields from skew polynomial ring. Pre-ICM International Convention on Mathematical Sciences (Delhi, December 2008). Talk: Finite projective planes, semifields and Galois geometries Obtained research funding 2011 Research grant from University of Padua (2 years) FWO research grant, UGent-VUB (3 years) FWO travel grant to visit Napels University (6 weeks) FWO research grant, UGent-VUB (3 years) FWO PhD-grant, UGent (with Prof. dr. L. Storme) PhD-student: Geertrui Van de Voorde BOF post-doc research grant (3 years), UGent NWO post-doc grant: VENI (3 years), Eindhoven university of Technology European Commission: Marie Curie Grant (2 years), Naples University. Promotorship, regular supervision PhD: Geertrui Van de Voorde (March 2010). Master project: Databanken en websites voor wiskundig onderzoek, Els Quintelier and Cedric Raemdonck. (Defence June ) Master thesis: Ovoïden en spreads in polaire ruimten, Rob De Staelen. (Academic year ) Organisation of conferences Finite Geometries, Fourth Irsee Conference, Irsee, Germany, September 14-20, Workshop and summer school on finite semifields, Padova, Italy, September 9-13, Conference on Finite Geometries in honour of Frank De Clerck, Ferrara, Italy, September 17-18, Giornate di Geometria, Vicenza, February 13-14, th International Conference on Finite Fields and their Applications, Ghent, Belgium, July 10-15, Giornata di Geometria, Vicenza, Italy, March 4,

5 Academic service Scholarly service Referee for the followings international journals: Advances in Geometry Bulletin of the Belgian Mathematical Society - Simon Stevin Combinatorica Discrete Mathematics Finite Fields and their Applications Innovations in Incidence Geometry Designs Codes and Cryptography Journal of Algebraic Combinatorics Journal of Combinatorial Theory, Series A Journal of Geometry Guest editor for the Special Issue on Finite Geometries in honour of Frank De Clerck. Des. Codes Cryptogr. by Springer. To appear. Member of the commission for professorship in Analysis, Department of pure mathematics and Computer Algebra, UGent, May 2008 (secretary). Member of the following Phd committees: Anja Hallez (2010, Ghent University), John Sheekey (2011, University College Dublin), You Zhou (2013, Otto-von-Guericke-Universität Magdeburg), Marco Pizzato (2013, Università degli studi di Trento). Seminar: Geometric and Combinatorial Structures and their Applications. Department of mathematics, Naples University (initiative 2002, co-organiser ). EIDMA Seminar Combinatorial Theory. of Technology (co-organiser ). Department of mathematics, Eindhoven University ULB -UGent-VUB-Seminar on Incidence Geometry (convener since 2007). Seminars on Incidence Geometry and related activities. Department of pure mathematics and computer science, UGent (convener since 2006). Service to the community Project for secondary schools: vrije ruimte 2009 (co-author notes: Projectieve vlakken en codes and teaching). Organisation Wetenschapsfeest 2008, Mechelen, Belgium. Fòrum de la recerca. Universitat Autònoma de Barcelona. February Member of the panel in the Transversal workshop Young Researchers. Teaching experience Foundations of Linear Algebra and Geometry (Università di Padova) 2011, 2012, 2013, 2014 Projective Geometry (Ghent University) 2007, 2008, 2009, 2010 Linear Algebra and Finite Fields (Ghent University) 5

6 2007, 2008, 2009, 2010, 2011 Mathematics 3 (Eindhoven University of Technology, exercise classes) 2005 Linear Algebra and Linear Analysis 1 (Eindhoven University of Technology, exercise classes) 2000, 2001 Algebra 2 (Eindhoven University of Technology, exercise classes) 1998, 1999, 2000 Graph Theory and Discrete Optimalisation (Eindhoven University of Technology, exercise classes) 1998,

Geertrui Van de Voorde

Geertrui Van de Voorde University degrees 2006 Master in Mathematics, Ghent University. 2007 Teacher Certificate for High School Mathematics, Ghent University. 2010 PhD in Sciences: Mathematics, Ghent