Geertrui Van de Voorde
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1 Geertrui Van de Voorde University degrees 2006 Master in Mathematics, Ghent University Teacher Certificate for High School Mathematics, Ghent University PhD in Sciences: Mathematics, Ghent University. Title: Blocking sets in finite geometry and coding theory. Supervisors: Michel Lavrauw and Leo Storme Employment 10/01/ /30/ /01/ /30/ /01/ /30/2013 Starting 10/01/ /01/ /30/ /01/ /30/ /01/ /30/ /01/ /30/ /01/ /30/ /01/ /30/ /01/ /30/ /01/ /30/2016 PhD student, Ghent University. Funding agency 2006: Bijzonder Onderzoeksfonds Universiteit Gent (BOF) Funding agency : Instituut voor de aanmoediging van Innovatie door Wetenschap en Technologie (IWT) Funding agency : Flemish Research Foundation (FWO) Post-doc (BAP), Vrije Universiteit Brussel, Brussels. Interim Assistant Professor (10%), Vrije Universiteit Brussel, Brussels. Postdoctoral Fellow, Ghent University. Funding agency: Flemish Research Foundation (FWO) Teaching Lecturer Voortgezette Analyse (Advanced Analysis), for +/-35 engineering students, Bach.2, Vrije Universiteit Brussel Voortgezette Analyse (Advanced Analysis), for +/-40 engineering students, Bach.2, Vrije Universiteit Brussel Lineaire Algebra en Meetkunde (Linear Algebra and Geometry), for +/-120 mathematics or physics students, Bach.1, Ghent University Codeertheorie (Coding Theory), for 12 master students mathematics, Ghent University Lineaire Algebra en Meetkunde (Linear Algebra and Geometry), for +/-120 mathematics or physics students, Bach.1, Ghent University Codeertheorie (Coding Theory), for 19 master students mathematics, Ghent University Lineaire Algebra en Meetkunde (Linear Algebra and Geometry), for +/-120 mathematics or physics students, Bach.1, Ghent University Codeertheorie (Coding Theory), for 5 master students mathematics, Ghent University Geertrui Van de Voorde 1/6
2 Teaching assistant Exercise courses Wiskunde 1 (Mathematics 1) and Wiskunde 2 (Mathematics 2), for +/- 200 students biology, biochemistry and biotechnology, geography and geology, Bach. 1, Ghent University Exercise courses Wiskunde 1 and Wiskunde 2, for +/-200 biology, biochemistry and biotechnology, geography and geology students, Bach. 1, Ghent University Exercise courses Wiskunde 1 and Wiskunde 2 for +/-200 biology, biochemistry and biotechnology, geography and geology students, Bach. 1, Ghent University Exercises Projectieve meetkunde (Projective Geometry), for +/- 30 mathematics students, Bach. 2, Ghent University Exercises Aanvullingen Lineaire Algebra (Additions to Linear Algebra), for 7 mathematics students, Bach. 1, Vrije Universiteit Brussel Exercises Aanvullingen Lineaire Algebra, for 6 mathematics students, Bach. 1, Vrije Universiteit Brussel Supervised theses Bachelor project Joni D Hoe: Blokkerende verzamelingen, Vrije Universiteit Brussel Lobke Van Impe: Sudoku s, Vrije Universiteit Brussel Jozefien D Haeseleer:Een meetkundige studie van Sudoku s, Ghent University (cosupervisor) December 2015 PhD thesis Sara Rottey. Characterising substructures of finite projective spaces, Ghent University and Vrije Universiteit Brussel (co-supervisor) Publications To be found on 1. V. Fack, Sz.L. Fancsali, L. Storme, G. Van de Voorde, and J. Winne. Small weight codewords in codes arising from Desarguesian projective planes. Des. Codes Cryptogr. 46 (1) (2008), M. Lavrauw, 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 (3) (2008), M. Lavrauw, L. Storme, and G. Van de Voorde. On the code generated by the incidence matrix of points and k-spaces in PG(n, q) and its dual. Finite Fields Appl. 14 (4) (2008), V. Pepe, L. Storme, and G. Van de Voorde. Small weight codewords in the LDPC codes arising from linear representations of geometries. J. Combin. Des. 17 (1) (2009), M. Lavrauw, L. Storme, P. Sziklai, and G. Van de Voorde. An empty interval in the spectrum of small weight codewords in the code of points and k-spaces of PG(n, q). J. Combin. Theory, Ser. A 116 (4) (2009), S. Dodunekov, L. Storme, and G. Van de Voorde. Partial covers of P G(n, q), European J. Combin. 31 (6) (2010), V. Pepe, L. Storme, and G. Van de Voorde. On codewords in the dual code of classical generalised quadrangles and classical polar spaces. Discrete Math., 310 (22) (2010), M. Lavrauw and G. Van de Voorde. On linear sets on a projective line. Des. Codes Cryptogr. 56 (2 3) (2010), M. Lavrauw, L. Storme, and G. Van de Voorde. Linear codes from projective spaces. Errorcorrecting codes, finite geometries and cryptography, , Contemp. Math. 523, Amer. Math. Geertrui Van de Voorde 2/6
3 Soc., Providence, RI, G. Van de Voorde. LDPC codes from finite geometries. Proceedings of the Academy Contact Forum Coding Theory and Cryptography III. 11. M. Lavrauw, L. Storme, and G. Van de Voorde. A proof of the linearity conjecture for k-blocking sets in PG(n, p 3 ), p prime. J. Combin. Theory, Ser. A 118 (3) (2011), G. Van de Voorde. On the linearity of higher-dimensional blocking sets. Electron. J. Combin. 17 (1) (2010), Research Paper 174, 16 pp. 13. G. Van de Voorde. On sets without tangents and exterior sets of a conic, Discrete Math. 311(20) (2011), P. Sziklai and G. Van de Voorde. A small minimal blocking set in P G(n, p t ), spanning a (t 1)-space, is linear. Des. Codes Cryptogr. bf 68(1-3) (2013), M. Lavrauw and G. Van de Voorde. Scattered linear sets and pseudoreguli. Electronic J. Combin. 20(1) (2013), 15 pp. 16. T. Penttila and G. Van de Voorde. Extending pseudo-arcs in odd characteristic. Finite Fields Appl 22 (2013), P. Cara, S. Rottey and G. Van de Voorde. The isomorphism problem for linear representations and their graphs. Adv. Geom. 14 (2) (2014), P. Cara, S. Rottey and G. Van de Voorde. A construction for infinite families of semisymmetric graphs revealing their full automorphism group. J. Algebraic Combin. 39 (4) (2014), S. De Winter, S. Rottey and G. Van de Voorde. Linear representations of subgeometries. Des. Codes Cryptogr., 77 (1) (2015), M. Lavrauw and G. Van de Voorde. Field reduction and linear sets in finite geometry. Contemp. Math. 632 Amer. Math. Soc., Providence, RI, S. Rottey and G. Van de Voorde. Pseudo-ovals in even characteristic and ovoidal Laguerre planes. J. Combin. Theory Ser. A 129 (2015), S. Rottey, J. Sheekey and G. Van de Voorde. Subgeometries in the André/Bruck-Bose representation. Finite Fields Appl 35 (2015), S. Rottey and G. Van de Voorde. Characterisations of elementary pseudo-caps and good eggs. Electron. J. Combin. 22(1) (2015), P G. Van de Voorde. Constructing minimal blocking sets using field reduction. J. Combin. Designs 24, M. De Boeck and G. Van de Voorde. A linear set view on KM-arcs. To appear in J. Algebraic Combin. 26. S. Rottey and G. Van de Voorde. Unitals with many Baer secants through a fixed point. To appear in Adv. Geom. 27. J. De Beule, T. Héger, T. Szőnyi, and G. Van de Voorde. Blocking and double blocking sets in finite planes. To appear in Electronic J. Combin. Research stays Short research stays (less than a month) 2008 Bulgarian Academy of Sciences, Sofia (Bulgaria), Hosts P. Dodunekov and I. Landjev 2009 Universitá Féderico II Naples (Italy), Host G. Lunardon 2010 Eötvös Loránd University Budapest (Hungary), Host T. Szőnyi and P. Sziklai 2012 Universitá degli Studi di Padova, Vicenza (Italy), Host Michel Lavrauw 2012 Universitá Féderico II Naples (Italy), Host G. Lunardon 2014 Universitá degli Studi di Padova, Vicenza (Italy), Host Michel Lavrauw Geertrui Van de Voorde 3/6
4 Long research stays (more than a month) 2009 Technische Universiteit, Eindhoven (The Netherlands), Host A. Blokhuis 2011 Universitá degli Studi di Padova, Vicenza (Italy), Host M. Lavrauw 2011 Colorado State University, Fort Collins (USA), Host T. Penttila Presentations Invited speaker at national conferences 1. Academy Contact Forum Coding Theory and Cryptography III, Brussels (Belgium), 09/25/2009, Linear codes from projective spaces. 2. Colloquium on Galois Geometry, Ghent (Belgium), 05/27/2011, LDPC codes from finite geometries. 3. Arithmétique en Plat Pays (Getaltheorie in het vlakke land), Brussels (Belgium), 18/04/2016, Field reduction in finite projective geometry. Invited speaker at international conferences 1. FQ11, Internation Conference on Finite Fields and Their Applications, Magdeburg, Germany, 07/25/2013. Contributed talks and seminar talks 1. Workshop on Coding and Cryptography, Versailles (France) 16/04/ /04/2007. Small weight codewords in codes arising from Desarguesian projective planes. 2. Seminar Incidence Geometry, Ghent University, Ghent 11/05/2007 Small weight codewords in the LDPC codes arising from T 2 (K). 3. Fifth International Workshop on optimal codes and related topics, Balchik (Bulgaria) 16/06/ /06/2007 Small weight codewords in codes arising from Desarguesian projective spaces. 4. Kolloquium über Kombinatorik, Magdeburg (Germany) 16/11/ /11/2007 Small weight codewords in the (dual) code of points and k-spaces of PG(n, q). 5. Seminar, Veliko Tarnovo University, Veliko Tarnovo (Bulgaria) 07/05/2008 Blocking sets and linear codes. 6. Seminar, Bulgarian Academy of Sciences, Sofia (Bulgaria) 12/05/2008 Blocking sets and linear codes. 7. Seminar Incidence Geometry, Ghent University, Ghent 23/05/2008 The code of points and k-spaces of PG(n, q). 8. Combinatorics 2008, Costermano (Italy) 22/06/ /06/2008 Partial covers of PG(n, q). 9. Geometric and Algebraic Combinatorics 4, Oisterwijk (The Netherlands) 17/08/ /08/2008 Small minimal blocking sets in PG(n, p 3 ). 10. Pre-ICM International Convention on Mathematical Sciences, Delhi (India) 18/12/ /12/2008 An introduction to finite geometry. 11. Seminar, University Federico II, Naples (Italy) Geertrui Van de Voorde 4/6
5 17/02/2009 The linearity conjecture for k-blocking sets in PG(n, q 3 ): Part 2: A proof for q prime. 12. Seminar Incidence Geometry, Ghent University, Ghent 06/03/2009 The linearity conjecture for k-blocking sets in PG(n, q 3 ): Part 2: A proof for q prime. 13. Seminar, Technische Universiteit Eindhoven, Eindhoven (The Netherlands) 25/03/2009 The linearity conjecture for k-blocking sets in PG(n, q 3 ): Part 2: A proof for q prime. 14. Galois geometries and their applications, Ghent (Belgium) 25/05/ /05/2009 The dual code of Q(4, q) and Q + (5, q). 15. Diamant-Eidma Symposium, Heeze (The Netherlands) 27/05/ /05/2009 The intersection of a subline and a linear set. 16. FQ9, International conference on finite fields and their applications, Dublin (Ireland) 13/07/ /07/2009 The intersection of a subline and an F q -linear set. 17. Seminar, Technische Universiteit Eindhoven, Eindhoven (The Netherlands) 18/11/2009 Linear codes from projective spaces. 18. Seminar Incidence Geometry, Ghent University, Ghent 18/12/2009 Linear (blocking) sets. 19. An International Conference on Designs, Codes & Geometries (in honor of Gary Ebert), Lewes (Delaware, USA) 29/03/ /04/2010 On the equivalence of linear sets in a projective space. 20. Algebraic Combinatorics and Applications (ALCOMA 10), Thurnau (Germany) 11/04/ /04/2010 On the equivalence of linear sets in a projective space. 21. Fourth Pythagorean Conference, Corfu (Greece) 30/05/ /06/2010 On the linearity of higher-dimensional blocking sets. 22. Seminar CAMP, Vrije Universiteit Brussel, Brussels 29/11/2010 An introduction to finite geometry and linear codes 23. Finite Geometry Seminar, Eötvös Loránd Univiversity, Budapest (Hungary) 10/12/2010 Stopping sets in LDPC codes and sets without tangents in finite projective planes 24. Seminar, Università degli Studi di Padova, Vicenza (Italia) 16/03/2011 LDPC codes from finite geometries 25. Joint Seminar Incidence geometry UGent-VUB-ULB, Vrije Universiteit Brussel, Brussels 06/05/2011 On the linearity of some higher-dimensional blocking sets 26. Seminar, Università degli Studi di Padova, Vicenza (Italia) 18/05/2011 The linearity of some higher-dimensional blocking sets 27. Finite Geometries (Third Irsee conference), Irsee (Germany) Geertrui Van de Voorde 5/6
6 19/06/ /06/2011 On the linearity of some higher-dimensional blocking sets 28. FQ10, International conference on finite fields and their applications, Ghent (Belgium) 11/07/ /07/2011 Stopping sets, sets without tangents, and exterior sets to a conic 29. Geometric and Algebraic Combinatorics 5, Oisterwijk (The Netherlands) 15/08/ /08/2011 On scattered linear sets and pseudo-reguli 30. Algebraic Combinatorics: In Memory of Bob Liebler, Fort Collins (Colorado, USA) 04/11/ /11/2011 On the linearity of some higher-dimensional blocking sets 31. Seminar, Univerity of Wyoming, Laramie (Wyoming, USA) 14/11/2011 Sets without tangents and exterior sets to a conic. 32. Incidence Geometry and Buildings, Ghent (Belgium) 06/02/ /02/2012 Extending pseudo-ovals in odd characteristic. 33. Giornate di Geometria, Vicenza (Italy) 13/02/ /02/2012 Scattered linear sets and pseudoreguli. 34. Seminar, Università degli Studi di Padova, Vicenza (Italy) 02/04/2012 Extending pseudo-arcs in odd characteristic. 35. Seminar, University Federico II, Naples (Italy) 15/05/2012 Extending pseudo-arcs in odd characteristic. 36. Combinatorics 2012, Perugia (Italy) 9/09/ /09/2012 Large pseudo-arcs in odd characteristic 37. Conference on finite geometries (in honor of F. De Clerck), Ferrara (Italy) 17/09/ /09/2012 The isomorphism problem for linear representations 38. Seminar, Università degli Studi di Padova, Vicenza (Italy) 11/03/2014 Pseudo-hyperovals 39. Finite Geometries (fourth Irsee conference), Irsee (Germany) 15/09/ /09/2014 Arcs of type (0, 2, t) of size q + t in Desarguesian projective planes 40. Combinatorics 2016, Maratea (Italy) 29/05/ /06/2016 Point sets in PG(2, q) such that every line meets in 0, 2, or t points. Geertrui Van de Voorde 6/6
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