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. The same list, but ordered chronologically, can be found below.

Analysis of Boolean Functions

  1. With Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme: Cameron-Liebler k-sets in AG(n,q).
    Electronic Journal of Combinatorics, In Revision. Preprint.
  2. With Yuval Filmus: Boolean constant degree functions on the slice are juntas.
    Discrete Mathematics, 2019. Preprint.
  3. With Yuval Filmus: Boolean degree 1 functions on some classical association schemes.
    Journal of Combinatorial Theory A, 2019. Preprint.

Codes (mostly in Finite Geometry)

  1. With Peter J. Dukes and Nathan Lindzey: On the Algebraic Combinatorics of Injections and its Applications to Injection Codes.
    IEEE Transactions on Information Theory, 2020. Preprint.
  2. With Peter J. Dukes and Nathan Lindzey: On the Algebraic Combinatorics of Injections (extended abstract).
    Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020.
  3. With Daniel Heinlein: New and Updated Semidefinite Programming Bounds for Subspace Codes.
    Advances in Mathematics of Communications, 2020. Preprint.
  4. 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.
  5. 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.
  6. With Anurag Bishnoi: The non-existence of distance-2 ovoids in H(4)^D.
    Contributions to Discrete Mathematics, 2017. Preprint.
  7. 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.
  8. 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.

Intersecting Families

  1. Remarks on the Erdős Matching Conjecture for Vector Spaces.
    European Journal of Combinatorics, 2021. Preprint.
  2. With Hajime Tanaka: The Independence Number of the Orthogonality Graph in Dimension 2^k.
    Combinatorica, 2019. Preprint.
  3. With Andrey Kupavskii: Regular Intersecting Families.
    Discrete Applied Mathematics, 2019. Preprint.
  4. The Chromatic Number of the q-Kneser Graph for large q.
    Electronic Journal of Combinatorics, 2019. Preprint.
  5. With Klaus Metsch and Bernhard Mühlherr: An EKR theorem for finite buildings of type Dl.
    Journal of Algebraic Combinatorics, 2018.
  6. With Karen Meagher: Manickam-Miklós-Singhi Conjectures on Partial Geometries.
    Designs, Codes and Cryptography, 2018. Preprint.
  7. With Klaus Metsch: Large {0, 1,...,t}-Cliques in Dual Polar Graphs.
    Journal of Combinatorial Theory A, 2018. Preprint.
  8. A Note on the Manickam-Miklós-Singhi Conjecture for Vector Spaces.
    European Journal of Combinatorics, 2016. Preprint.
  9. Cross-intersecting Erdős-Ko-Rado Sets in Dual Polar Graphs.
    Electronic Journal of Combinatorics, 2015.
  10. With Klaus Metsch: On the Maximum Size of Erdős-Ko-Rado Sets in H(2d+1, q^2).
    Designs, Codes and Cryptography, 2014. Preprint.

Ramsey Theory

  1. With Anurag Bishnoi and Valentina Pepe: A construction for clique-free pseudorandom graphs.
    Combinatorica, 2020. Preprint.
  2. With Deepak Rajendraprasad and Thilo Weinert: New bounds on the Ramsey number r(I_m, L_n).
    Discrete Mathematics, 2021. Preprint.

Spectral Graph Theory

  1. With Francesco Pavese and Valentino Smaldore: Graphs cospectral with NU(n+1, q^2), n ≠ 3.
    Submitted.
  2. Switching for Small Strongly Regular Graphs.
    Submitted. Preprint.
  3. With Akihiro Munemasa: New Strongly Regular Graphs from Finite Geometries via Switching.
    Linear Algebra and Its Applications, 2019. Preprint.
  4. 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.
  5. 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.
    Finite Fields and Their Applications, 2021. Preprint.
  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.

Publications/Preprints Chronologically

  1. With Francesco Pavese and Valentino Smaldore: Graphs cospectral with NU(n+1, q^2), n ≠ 3.
    Submitted.
  2. Switching for Small Strongly Regular Graphs.
    Submitted. Preprint.
  3. With Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme: Cameron-Liebler k-sets in AG(n,q).
    Electronic Journal of Combinatorics, In Revision. Preprint.
  4. Remarks on the Erdős Matching Conjecture for Vector Spaces.
    European Journal of Combinatorics, 2021. Preprint.
  5. With Lilya Budaghyan, Claude Carlet, Diana Davidova, Tor Helleseth, Tim Penttila:
    Relation between o-equivalence and EA-equivalence for Niho bent functions.
    Finite Fields and Their Applications, 2021. Preprint.
  6. With Deepak Rajendraprasad and Thilo Weinert: New bounds on the Ramsey number r(I_m, L_n).
    Discrete Mathematics, 2021. Preprint.
  7. With Peter J. Dukes and Nathan Lindzey: On the Algebraic Combinatorics of Injections and its Applications to Injection Codes.
    IEEE Transactions on Information Theory, 2020. Preprint.
  8. With Peter J. Dukes and Nathan Lindzey: On the Algebraic Combinatorics of Injections (extended abstract).
    Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020.
  9. With Daniel Heinlein: New and Updated Semidefinite Programming Bounds for Subspace Codes.
    Advances in Mathematics of Communications, 2020. Preprint.
  10. With Anurag Bishnoi and Valentina Pepe: A construction for clique-free pseudorandom graphs.
    Combinatorica, 2020. Preprint.
  11. With Hajime Tanaka: The Independence Number of the Orthogonality Graph in Dimension 2^k.
    Combinatorica, 2019. Preprint.
  12. With Andrey Kupavskii: Regular Intersecting Families.
    Discrete Applied Mathematics, 2019. Preprint.
  13. The Chromatic Number of the q-Kneser Graph for large q.
    Electronic Journal of Combinatorics, 2019. Preprint.
  14. With Yuval Filmus: Boolean constant degree functions on the slice are juntas.
    Discrete Mathematics, 2019. Preprint.
  15. With Yuval Filmus: Boolean degree 1 functions on some classical association schemes.
    Journal of Combinatorial Theory A, 2019. Preprint.
  16. With Akihiro Munemasa: New Strongly Regular Graphs from Finite Geometries via Switching.
    Linear Algebra and Its Applications, 2019. Preprint.
  17. 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.
  18. 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.
  19. With Klaus Metsch and Bernhard Mühlherr: An EKR theorem for finite buildings of type Dl.
    Journal of Algebraic Combinatorics, 2018.
  20. With Karen Meagher: Manickam-Miklós-Singhi Conjectures on Partial Geometries.
    Designs, Codes and Cryptography, 2018. Preprint.
  21. With Klaus Metsch: Large {0, 1,...,t}-Cliques in Dual Polar Graphs.
    Journal of Combinatorial Theory A, 2018. Preprint.
  22. 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.
  23. With the University of Regina Discrete Mathematics Research Group (6 coauthors): Infection in Hypergraphs.
    Discrete Applied Mathematics, 2018. Preprint.
  24. With Anurag Bishnoi: The non-existence of distance-2 ovoids in H(4)^D.
    Contributions to Discrete Mathematics, 2017. Preprint.
  25. 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.
  26. A Switching for Strongly Regular Collinearity Graphs From Polar Spaces.
    Journal of Algebraic Combinatorics, 2017. Preprint.
  27. A Note on the Manickam-Miklós-Singhi Conjecture for Vector Spaces.
    European Journal of Combinatorics, 2016. Preprint.
  28. Cross-intersecting Erdős-Ko-Rado Sets in Dual Polar Graphs.
    Electronic Journal of Combinatorics, 2015.
  29. 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.
  30. With Klaus Metsch: On the Maximum Size of Erdős-Ko-Rado Sets in H(2d+1, q^2).
    Designs, Codes and Cryptography, 2014. Preprint.
  31. 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.

Unpublished/Unrefereed Reports

  1. Two Small Improvements on Ramsey Numbers, 2020.
  2. Report on the GM-Switching Class of Sp(6, 2), 2020. Superseded by: Switching for Small Strongly Regular Graphs.

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, Jozefien D'haeseleer, Peter J. Dukes, Shaun Fallat, Adam Gorr, Daniel Heinlein, Tor Helleseth, Sam Jaques, Andrey Kupavskii, Nathan Lindzey, Jonathan Mannaert, Matt McGinnis, Bernhard Mühlherr, Akihiro Munemasa, Francesco Pavese, Tim Penttila, Valentina Pepe, Deepak Rajendraprasad, Peter Sin, Valentino Smaldore, Leo Storme, 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 (3), European Journal of Combinatorics (2), Finite Fields and Their Applications, IEEE Transactions on Information Theory, 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.

Main Speaker

(Please ask for slides if you want them.)

Seminar/Invited Session/Workshop 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.