Publications

My work (mainly) covers extremal combinatorics, finite geometry, spectral graph theory, and coding theory.

Publications/Preprints by Topic

Please note that sometimes there are sometimes differences between the preprint and the journal version of a paper.

Intersecting Families

  1. With Andrey Kupavskii: Regular Intersecting Families. Discrete Applied Mathematics, Accepted. Preprint.
  2. With Hajime Tanaka: The Independence Number of the Orthogonality Graph in Dimension 2^k. Combinatorica, Accepted. Preprint.
  3. The Chromatic Number of the q-Kneser Graph for large q. Electronic Journal of Combinatorics, 2019. Preprint.
  4. With Klaus Metsch and Bernhard Mühlherr: An EKR theorem for finite buildings of type Dl. Journal of Algebraic Combinatorics, 2018.
  5. With Karen Meagher: Manickam-Miklós-Singhi Conjectures on Partial Geometries. Designs, Codes and Cryptography, 2018. Preprint.
  6. With Klaus Metsch: Large {0, 1,...,t}-Cliques in Dual Polar Graphs. Journal of Combinatorial Theory A, 2018. Preprint.
  7. A Note on the Manickam-Miklós-Singhi Conjecture for Vector Spaces, European Journal of Combinatorics, 2016. Preprint.
  8. Cross-intersecting Erdős-Ko-Rado Sets in Dual Polar Graphs, Electronic Journal of Combinatorics, 2015.
  9. With Klaus Metsch: On the Maximum Size of Erdős-Ko-Rado Sets in H(2d+1, q^2), Designs, Codes and Cryptography, 2014. Preprint.

Analysis of Boolean Functions

  1. With Yuval Filmus: Boolean constant degree functions on the slice are juntas. Discrete Mathematics, 2019. Preprint.
  2. With Yuval Filmus: Boolean degree 1 functions on some classical association schemes. Journal of Combinatorial Theory A, 2019. Preprint.

Codes in Finite Geometry

  1. With Daniel Heinlein: New and Updated Semidefinite Programming Bounds for Subspace Codes. Advances in Mathematics of Communications, Accepted. Preprint.
  2. With the University of Regina Discrete Mathematics Research Group (6 coauthors): Ovoids of Generalized Quadrangles of Order (q,q^2−q) and Delsarte Cocliques in Related Strongly Regular Graphs. Journal of Combinatorial Designs, 2018. Preprint.
  3. With Peter Sin and Qing Xiang: New Bounds for Partial Spreads of H(2d-1, q^2) and Partial Ovoids of the Ree-Tits Octagon. Journal of Combinatorial Theory A, 2018. Preprint.
  4. With Anurag Bishnoi: The non-existence of distance-2 ovoids in H(4)^D. Contributions to Discrete Mathematics, 2017. Preprint.
  5. With John Bamberg and Jan De Beule: New non-existence proofs for ovoids of Hermitian polar spaces and hyperbolic quadrics, Annals of Combinatorics, 2017. Preprint.
  6. A new upper bound for constant distance codes of generators on hermitian polar spaces of type H(2d − 1, q^2), Journal of Geometry, 2014. Preprint.

Ramsey Theory

  1. With Anurag Bishnoi and Valentina Pepe: A construction for clique-free pseudorandom graphs, Combinatorica, In Revision. Preprint.
  2. With Deepak Rajendraprasad and Thilo Weinert: New bounds on the Ramsey number r(I_m, L_n). Discrete Mathematics, In Revision. Preprint.

Spectral Graph Theory

  1. With Akihiro Munemasa: New Strongly Regular Graphs from Finite Geometries via Switching. Linear Algebra and Its Applications, 2019. Preprint.
  2. With Andries E. Brouwer, Sebastian M. Cioabă, and Matt McGinnis: The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters. Journal of Combinatorial Theory B, 2018. Preprint.
  3. A Switching for Strongly Regular Collinearity Graphs From Polar Spaces. Journal of Algebraic Combinatorics, 2017. Preprint.

Other Topics

  1. With Lilya Budaghyan, Claude Carlet, Diana Davidova, Tor Helleseth, Tim Penttila: Relation between o-equivalence and EA-equivalence for Niho bent functions, Submitted.
  2. With the University of Regina Discrete Mathematics Research Group (6 coauthors): Infection in Hypergraphs. Discrete Applied Mathematics, 2018. Preprint.
  3. A Characterisation of the Natural Embedding of the Split Cayley Hexagon in PG(6,q) by Intersection Numbers in Finite Projective Spaces of Arbitrary Dimension. Discrete Mathematics, 2014. Preprint.

Coauthors

Karen Meagher (3), Klaus Metsch (3), Ryan Bergen (2), Anurag Bishnoi (2), Yuval Filmus (2), Alison Purdy (2), Boting Yang (2), John Bamberg, Andries E. Brouwer, Lilya Budaghyan, Sebastian M. Cioabă, Jan De Beule, Claude Carlet, Diana Davidova, Shaun Fallat, Adam Gorr, Daniel Heinlein, Tor Helleseth, Sam Jaques, Andrey Kupavskii, Matt McGinnis, Bernhard Mühlherr, Akihiro Munemasa, Tim Penttila, Valentina Pepe, Deepak Rajendraprasad, Peter Sin, Hajime Tanaka, Thilo Weinert, Qing Xiang, Guanglong Yu.

Journals

Advances in Mathematics of Communications, Annals of Combinatorics, Combinatorica (2), Contributions to Discrete Mathematics, Designs, Codes and Cryptography (2), Discrete Applied Mathematics (2), Discrete Mathematics (3), Electronic Journal of Combinatorics (2), European Journal of Combinatorics, Journal of Algebraic Combinatorics (2), Journal of Combinatorial Designs, Journal of Combinatorial Theory A (3), Journal of Combinatorial Theory B, Journal of Geometry, Linear Algebra and Its Applications.

Colloquium/Conference Talks

(Please ask for slides if you want them.)

Seminar/Invited Session Talks

Contributed Talks

Theses


Universiteit Gent and Vakgroep Wiskunde: Analyse, Logica en Discrete Wiskunde.

Hebrew University of Jerusalem and Einstein Institute.

University of Regina and Department of Mathematics and Statistics.

Justus-Liebig-Universität Gießen and Mathematisches Institut.