Homepage of Frederic Vanhove

Last modified: October 2, 2011

Hello!

I am a postdoctoral fellow, working at the University of Ghent and member of the Research Group Incidence Geometry at the Department of Mathematics. My research is funded by FWO.

My PhD thesis was defended on April 7, 2011: the thesis, some errata (in development), Keynote Presentation (zipped), Presentation in PDF format

Works (click DOI-links for early online publications):

Submitted:

  • Inequalities for regular near polygons, with applications to m-ovoids (with Bart De Bruyn) (submitted on October 14, 2011)

    Published:

  • A Higman inequality for regular near polygons , J. Algebraic Combin. 34 (2011), 357-373 (To appear in Journal of Algebraic Combinatorics, the final publication is available at www.springerlink.com, DOI link: http://dx.doi.org/10.1007/s10801-011-0275-7).

  • Theorems of Erdős-Ko-Rado-type in polar spaces (with Valentina Pepe and Leo Storme), J. Combin. Theory Ser. A 118 (2011), 1291-1312 (DOI link: http://dx.doi.org/10.1016/j.jcta.2011.01.003).

  • Antidesigns and regularity of partial spreads in dual polar graphs, J. Combin. Des. 19 (2011), 202-216. (DOI link: http://dx.doi.org/10.1002/jcd.20275).

  • A geometric proof of the upper bound on the size of partial spreads in H(4 n +1,q^2), Adv. Math. Commun. 5 (2011), 157-160. (DOI: 10.3934/amc.2011.5.157).

  • The maximum size of a partial spread in H(4 n+1,q^2) is q^(2 n +1) +1, Electronic J. Combin. 16 (2009) #N13.

    Slides of talks I have given:

  • "On geometry and distance-regular graphs", Colloquium on Galois geometry (Ghent, Belgium), December 2, 2011(slideshow,handout)

  • "Extremal and regular subsets in regular near polygons", GAC5: Geometric and Algebraic Combinatorics 5 (Oisterwijk, the Netherlands), August 16, 2011(slideshow,handout)

  • "Eigenvalue techniques for regular and extremal substructures in geometry", Fq10: The 10th International Conference on Finite Fields and their Applications (Ghent, Belgium), July 11, 2011(slideshow,handout)

  • "Hemisystem-like constructions of classical distance-regular graphs", Bled'11 Home 7th Slovenian International Conference on Graph Theory, June 25, 2011(slideshow,handout)

  • "Erdős-Ko-Rado problems in polar spaces", Algebraic Graph Theory workshop (Banff,Canada), April 26, 2011(slideshow,handout)

  • "Incidence geometry from an algebraic graph theory point of view", BMS PhD-Day, September 13, 2010(slideshow,handout)

  • "Applying algebraic graph theory to some problems in incidence geometry", WPI Colloquium (Massachusetts, USA), August 6, 2010(slideshow,handout)

  • "Inequalities for regular near polygons and hemisystem-like subgraphs with classical parameters ", Algebraic and Geometric Combinatorics Conference 2010 (Gyeongju, South Korea), 13 July 2010 (slideshow,handout)

  • "Group representations in incidence geometry", ULB-UGENT-VUB-Seminar on Incidence Geometry, 21 May 2010 (slideshow,handout)

  • "An algebraic approach to subsets in association schemes from buildings", ALCOMA10 (Thurnau, Germany), 12 April 2010 (slideshow,handout)

  • "Eigenvalue techniques applied to polar spaces", Seminar on Incidence Geometry, 16 October 2009 (slideshow,handout)

  • "A geometric proof of the upper bound on the size of partial spreads in H(4 n +1, q^2)", 22nd British Combinatorial Conference (Saint Andrews, Scotland), 9 July 2009 (slideshow, handout)

  • "An algebraic approach to projective spaces", GGA09, 25 May 2009 (slideshow, handout)

  • "An algebraic approach to partial spreads of hermitian varieties", ULB -UGent-VUB-Seminar on Incidence Geometry , 13 March 2009 (slideshow,handout)

    Other material:

  • "Erdos-Ko-Rado Theorems for dual polar spaces", ALCOMA10, 12 April 2010, by a colleague on joint work (slideshow,handout)

    Useful links
  • Homepage of our research group "Incidence geometry": contains preprints, lecture notes and recent theses in finite geometry.
  • Parameters of strongly regular graphs (maintained by Andries Brouwer).
  • Cometric association schemes: a table of cometric schemes, together with their Krein arrays, cosines, P- and Q-matrices,.... (maintained by Bill Martin).
  • Classification of association schemes with small vertices: (also includes non-commutative schemes) (maintained by Azumi Miyamoto and Akihide Hanaki).
  • Bounds on the minimum distance of linear codes: (also includes constructions of small linear codes) (maintained by Markus Grassl).

    Frédéric Vanhove
    Krijgslaan 281
    Building S22
    B-9000 Gent
    Belgium
    E-mail: fvanhove at cage.ugent.be