Publications
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.Boolean Function Analysis/CameronLiebler
 With Jan De Beule, Jozefien D'haeseleer, Jonathan Mannaert: Degree 2 Boolean Functions on Grassmann Graphs.
Submitted. Preprint.  With Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme: CameronLiebler ksets in AG(n,q).
Electronic Journal of Combinatorics, 2021. Preprint.  With Yuval Filmus: Boolean constant degree functions on the slice are juntas.
Discrete Mathematics, 2019. Preprint.  With Yuval Filmus: Boolean degree 1 functions on some classical association schemes.
Journal of Combinatorial Theory A, 2019. Preprint.
Codes (mostly in Finite Geometry)

With Jacques Verstraëte: Large (k; r, s; n, q)sets in Projective Spaces.
In Preperation.  With Stephen P. Glasby and Sam Mattheus: The proportion of nondegenerate complementary subspaces in classical spaces.
Submitted. Preprint.  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.  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.  With Daniel Heinlein: New and Updated Semidefinite Programming Bounds for Subspace Codes.
Advances in Mathematics of Communications, 2020. Preprint.  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.  With Peter Sin and Qing Xiang: New Bounds for Partial Spreads of H(2d1, q^2) and Partial Ovoids of the ReeTits Octagon.
Journal of Combinatorial Theory A, 2018. Preprint.  With Anurag Bishnoi: The nonexistence of distance2 ovoids in H(4)^D.
Contributions to Discrete Mathematics, 2017. Preprint.  With John Bamberg and Jan De Beule: New nonexistence proofs for ovoids of Hermitian polar spaces and hyperbolic quadrics.
Annals of Combinatorics, 2017. Preprint.  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
 Remarks on the Erdős Matching Conjecture for Vector Spaces.
European Journal of Combinatorics, 2021. Preprint.  With Hajime Tanaka: The Independence Number of the Orthogonality Graph in Dimension 2^k.
Combinatorica, 2019. Preprint.  With Andrey Kupavskii: Regular Intersecting Families.
Discrete Applied Mathematics, 2019. Preprint.  The Chromatic Number of the qKneser Graph for large q.
Electronic Journal of Combinatorics, 2019. Preprint.  With Klaus Metsch and Bernhard Mühlherr: An EKR theorem for finite buildings of type Dl.
Journal of Algebraic Combinatorics, 2018.  With Karen Meagher: ManickamMiklósSinghi Conjectures on Partial Geometries.
Designs, Codes and Cryptography, 2018. Preprint.  With Klaus Metsch: Large {0, 1,...,t}Cliques in Dual Polar Graphs.
Journal of Combinatorial Theory A, 2018. Preprint.  A Note on the ManickamMiklósSinghi Conjecture for Vector Spaces.
European Journal of Combinatorics, 2016. Preprint.  Crossintersecting ErdősKoRado Sets in Dual Polar Graphs.
Electronic Journal of Combinatorics, 2015.  With Klaus Metsch: On the Maximum Size of ErdősKoRado Sets in H(2d+1, q^2).
Designs, Codes and Cryptography, 2014. Preprint.
Ramsey Theory
 With Deepak Rajendraprasad and Thilo Weinert: New bounds on the Ramsey number r(I_m, L_n).
Discrete Mathematics, 2021. Preprint.  With Anurag Bishnoi and Valentina Pepe: A construction for cliquefree pseudorandom graphs.
Combinatorica, 2020. Preprint.
Spectral Graph Theory
 Approximately Strongly Regular Graphs.
Submitted. Preprint.  NonGeometric Cospectral Mates of Line Graphs with a Linear Representation.
Submitted. Preprint.  With Sebastian M. Cioabă and Himanshu Gupta: The least Euclidean distortion constant of a distanceregular graph.
Submitted. Preprint.  With Andries E. Brouwer and William M. Kantor: Strongly regular graphs satisfying the 4vertex condition.
Combinatorica, Accepted. Preprint.  Switching for Small Strongly Regular Graphs.
Australasian Journal of Combinatorics, 2022. Preprint.  With Francesco Pavese and Valentino Smaldore: Graphs cospectral with NU(n+1, q^2), n ≠ 3.
Discrete Mathematics, 2021. Preprint.  With Akihiro Munemasa: New Strongly Regular Graphs from Finite Geometries via Switching.
Linear Algebra and Its Applications, 2019. Preprint.  With Andries E. Brouwer, Sebastian M. Cioabă, and Matt McGinnis:
The smallest eigenvalues of Hamming graphs, Johnson graphs and other distanceregular graphs with classical parameters.
Journal of Combinatorial Theory B, 2018. Preprint.  A Switching for Strongly Regular Collinearity Graphs From Polar Spaces.
Journal of Algebraic Combinatorics, 2017. Preprint.
Other Topics
 With Lilya Budaghyan, Claude Carlet, Diana Davidova, Tor Helleseth, Tim Penttila:
Relation between oequivalence and EAequivalence for Niho bent functions.
Finite Fields and Their Applications, 2021. Preprint.  With the University of Regina Discrete Mathematics Research Group (6 coauthors): Infection in Hypergraphs.
Discrete Applied Mathematics, 2018. Preprint.  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

With Jacques Verstraëte: Large (k; r, s; n, q)sets in Projective Spaces.
In Preperation.  With Stephen P. Glasby and Sam Mattheus: The proportion of nondegenerate complementary subspaces in classical spaces.
Submitted. Preprint.  Approximately Strongly Regular Graphs.
Submitted. Preprint.  NonGeometric Cospectral Mates of Line Graphs with a Linear Representation.
Submitted. Preprint.  With Jan De Beule, Jozefien D'haeseleer, Jonathan Mannaert: Degree 2 Boolean Functions on Grassmann Graphs.
Submitted. Preprint.  With Sebastian M. Cioabă and Himanshu Gupta: The least Euclidean distortion constant of a distanceregular graph.
Submitted. Preprint.  With Andries E. Brouwer and William M. Kantor: Strongly regular graphs satisfying the 4vertex condition.
Combinatorica, Accepted. Preprint.  Switching for Small Strongly Regular Graphs.
Australasian Journal of Combinatorics, 2022. Preprint.  With Francesco Pavese and Valentino Smaldore: Graphs cospectral with NU(n+1, q^2), n ≠ 3.
Discrete Mathematics, 2021. Preprint.  With Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme: CameronLiebler ksets in AG(n,q).
Electronic Journal of Combinatorics, 2021. Preprint.  Remarks on the Erdős Matching Conjecture for Vector Spaces.
European Journal of Combinatorics, 2021. Preprint.  With Lilya Budaghyan, Claude Carlet, Diana Davidova, Tor Helleseth, Tim Penttila:
Relation between oequivalence and EAequivalence for Niho bent functions.
Finite Fields and Their Applications, 2021. Preprint.  With Deepak Rajendraprasad and Thilo Weinert: New bounds on the Ramsey number r(I_m, L_n).
Discrete Mathematics, 2021. Preprint.  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.  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.  With Daniel Heinlein: New and Updated Semidefinite Programming Bounds for Subspace Codes.
Advances in Mathematics of Communications, 2020. Preprint.  With Anurag Bishnoi and Valentina Pepe: A construction for cliquefree pseudorandom graphs.
Combinatorica, 2020. Preprint.  With Hajime Tanaka: The Independence Number of the Orthogonality Graph in Dimension 2^k.
Combinatorica, 2019. Preprint.  With Andrey Kupavskii: Regular Intersecting Families.
Discrete Applied Mathematics, 2019. Preprint.  The Chromatic Number of the qKneser Graph for large q.
Electronic Journal of Combinatorics, 2019. Preprint.  With Yuval Filmus: Boolean constant degree functions on the slice are juntas.
Discrete Mathematics, 2019. Preprint.  With Yuval Filmus: Boolean degree 1 functions on some classical association schemes.
Journal of Combinatorial Theory A, 2019. Preprint.  With Akihiro Munemasa: New Strongly Regular Graphs from Finite Geometries via Switching.
Linear Algebra and Its Applications, 2019. Preprint.  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.  With Peter Sin and Qing Xiang: New Bounds for Partial Spreads of H(2d1, q^2) and Partial Ovoids of the ReeTits Octagon.
Journal of Combinatorial Theory A, 2018. Preprint.  With Klaus Metsch and Bernhard Mühlherr: An EKR theorem for finite buildings of type Dl.
Journal of Algebraic Combinatorics, 2018.  With Karen Meagher: ManickamMiklósSinghi Conjectures on Partial Geometries.
Designs, Codes and Cryptography, 2018. Preprint.  With Klaus Metsch: Large {0, 1,...,t}Cliques in Dual Polar Graphs.
Journal of Combinatorial Theory A, 2018. Preprint.  With Andries E. Brouwer, Sebastian M. Cioabă, and Matt McGinnis:
The smallest eigenvalues of Hamming graphs, Johnson graphs and other distanceregular graphs with classical parameters.
Journal of Combinatorial Theory B, 2018. Preprint.  With the University of Regina Discrete Mathematics Research Group (6 coauthors): Infection in Hypergraphs.
Discrete Applied Mathematics, 2018. Preprint.  With Anurag Bishnoi: The nonexistence of distance2 ovoids in H(4)^D.
Contributions to Discrete Mathematics, 2017. Preprint.  With John Bamberg and Jan De Beule: New nonexistence proofs for ovoids of Hermitian polar spaces and hyperbolic quadrics.
Annals of Combinatorics, 2017. Preprint.  A Switching for Strongly Regular Collinearity Graphs From Polar Spaces.
Journal of Algebraic Combinatorics, 2017. Preprint.  A Note on the ManickamMiklósSinghi Conjecture for Vector Spaces.
European Journal of Combinatorics, 2016. Preprint.  Crossintersecting ErdősKoRado Sets in Dual Polar Graphs.
Electronic Journal of Combinatorics, 2015.  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.  With Klaus Metsch: On the Maximum Size of ErdősKoRado Sets in H(2d+1, q^2).
Designs, Codes and Cryptography, 2014. Preprint.  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
 Partial mSpreads of Hermitian Polar Spaces, Report, 2022.
 Two Small Improvements on Ramsey Numbers, 2020.
 Report on the GMSwitching 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), Andries E. Brouwer (2), Sebastian M. Cioabă (2), Jan De Beule (2), Jozefien D'haeseleer (2), Yuval Filmus (2), Jonathan Mannaert (2), Alison Purdy (2), Boting Yang (2), John Bamberg, Lilya Budaghyan, Claude Carlet, Diana Davidova, Peter J. Dukes, Shaun Fallat, Stephen P. Glasby, Adam Gorr, Himanshu Gupta, Daniel Heinlein, Tor Helleseth, Sam Jaques, William M. Kantor, Andrey Kupavskii, Nathan Lindzey, Matt McGinnis, Sam Mattheus, 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.
Main Speaker
(Please ask for slides if you want them.) TBA, CanaDAM 2023, Winnipeg, Manitoba, Canada, 2023.
 Low Degree Boolean Functions in Finite Geometry, Finite Geometry and Extremal Combinatorics, Newark, Delaware, USA, 2019.
 Cospectral Strongly Regular Graphs in Geometrical Settings, Prairie Discrete Math Workshop 2017, Lumsden, Saskatchewan, Canada, 2017.
 Polymath 10: Inequalities Related to the Sunflower Conjecture, IntersectionFest 2016, VCU, Richmond, Virginia, 2016.
 ErdősKoRado Sets in Finite Geometries, Colloquium to the memory of Thomas Ihringer. TU Darmstadt, 2015.
 On the Maximum Size of MCliques of Generators on Hermitian Polar Spaces. Colloquium on Galois geometry. To the memory of Frédéric Vanhove. Ghent, 2014.
 ErdősKoRado Mengen in endlichen Polarräumen (German), 100. Baerkolloquium, Gießen, 2013.
Seminar/Invited Session/Workshop Talks
 Low Degree Boolean Functions in Grassmann Graphs, Seminar of TWAG Study Group (Recording), National Sun Yatsen University, Sizihwan, Taiwan, 2022.
 Strongly Regular Graphs, Seminar of TWAG Study Group (Recording), National Sun Yatsen University, Sizihwan, Taiwan, 2022.
 Caps and Probabilistic Methods, University of Regina, Regina, Saskatchewan, Canada, 2022.
 Caps and Probabilistic Methods, University of Delaware, Newark, Delaware, USA, 2022.
 Low Degree Sets in Finite Geometry, UC San Diego Combinatorics Seminar, La Jolla, California, USA, 2021.
 The ErdősMatching Conjecture, Low Degree Boolean Functions and Their qAnalogs, Sabanci Algebra Seminar (Zoom), Turkey, 2021.
 Variations of the ErdősKoRado problem, Open Problems in Algebraic Combinatorics, Waterloo, Canada, 2021.
 Pseuodrandom Cliquefree Graphs, Finite Geometry, and Spectra, Zoom Seminar, Waterloo University, Algebraic Graph Theory Seminar, Waterloo, Canada, 2020.
 Extremal eigenvalues of (generalized) Hamming graphs, Johnson graphs, and Grassmann graphs, Zoom Seminar, University of Western Australia, Perth, Australia, 2020.
 Low Degree Boolean Functions in Finite Geometry, University of Western Australia, Perth, Australia, 2019.
 A Construction for Cospectral Graphs, University of Delaware, Newark, Delaware, USA, 2019.
 A Construction for Cospectral Graphs, University of Bergen, Bergen, Norway, 2019.
 Rank Bounds on the Independence Number, BenGurion University of the Negev, Beersheba, Israel, 2019.
 Rank Bounds on the Independence Number, FU Berlin, Berlin, Germany, 2019.
 Boolean Degree 1 Functions on Some Classical Domains, University of Bergen, Bergen, Norway, 2019.
 Three Perspectives on Boolean Degree 1 Functions, Tohoku University, Sendai, Japan, 2018.
 Subsets in Association Schemes, Tel Aviv University, Tel Aviv, Israel, 2018.
 Ovoids in Generalized Quadrangles, University of Wyoming, Laramie, Wyoming, USA, 2017.
 Large ErdősKoRado Sets in Polar Spaces, Colorado State University, Fort Collins, Colorado, USA, 2017.
 Ovoids in Generalized Quadrangles, University of Delaware, Newark, Delaware, USA, 2017.
 Intriguing Sets in Generalized Quadrangles, Hexagons, and Octagons, Kutztown University, Pennsylvania, USA, 2017.
 ErdősKoRado Sets in Finite Geometries, Rutgers University, New Jersey, USA, 2017.
 ErdősKoRado Sets in Finite Geometries, University of Regina, Regina, Saskatchewan, 2016.
 Intriguing Sets in Generalized Quadrangles and Hexagons, University of Waterloo, Waterloo, Ontario, 2016.
 The ManickamMiklósSinghi Conjecture for Partial Linear Spaces, BLS 2016, Logroño, 2016.
 Intriguing Sets in Generalized Quadrangles and Hexagons, University of Regina, Regina, Saskatchewan, 2016.
 ErdősKoRado Sets in Finite Spherical Buildings, University of Delaware, Newark, Delaware, 2016.
 ErdősKoRado Sets in Finite Classical Polar Spaces, University of Western Australia, Perth, 2013.
Contributed Talks
 Conditions on Large Caps, Finite Geometries 6, Irsee, Germany, 2022.
 The Density of Complementary Subspaces, ILAS 2022, Galway, Ireland, 2022.
 The Density of Complementary Subspaces, Prairie Discrete Math Workshop, Online, Canada, 2022.
 Strongly regular graphs satisfying the 4vertex condition, ECM 2020, Slovenia, 2021.
 Strongly regular graphs satisfying the 4vertex condition, CanaDAM 2021, Canada, 2021.
 Finite Geometry and switching in graphs, Finite geometry: a workshop in honour of Tim Penttila, Adelaide, Australia, 2019.
 New SDP Bounds on Subspace Codes, Bled19: 9th International Slovenian Conference on Graph Theory, Bled, Slovenia, 2019.
 The Independence Number of the Orthogonality Graph, Summerschool Finite Geometry and Friends, Brussels, Belgium, 2019.
 Regular Intersecting Families, Kolkom 2018, Paderborn, Germany, 2018.
 Three Perspectives on CameronLiebler Line Classes, Combinatorics 2018, Arco, Italy, 2018.
 Strongly Regular Graphs Related to Polar Spaces, Finite Geometries, Fifth Irsee Conference, Irsee, 2017.
 The Largest tIntersecting ErdősKoRado Sets of Polar Spaces, MCGTC, Malta, 2017.
 A Switching for the Collinearity Graphs of Polar Spaces, Western Sectional Meeting of the AMS, Denver, Colorado, 2016.
 New Bounds on the Ramsey Numbers r(In, L3), Combinatorics 2016, Maratea, 2016.
 The ManickamMiklósSinghi Conjecture for Vector Spaces, System of Lines: Applications of Algebraic Combinatorics, Worcester Polytechnic Institute, Worcester, MA, 2015.
 ErdősKoRado Sets and Semidefinite Programming in Hermitian Polar Spaces, Workshop on Algebraic Combinatorics, Tilburg, 2015.
 ErdősKoRado Sets and Semidefinite Programming in Hermitian Polar Spaces, CanaDAM, 2015.
 The ManickamMiklósSinghi Conjecture for Vector Spaces. Finite Geometries, Fourth Irsee Conference, 2014.
 ErdősKoRado Sets in Finite Classical Polar Spaces, Fq11, Magdeburg, 2013.
 ErdősKoRado Sets in Hermitian Polar Spaces, Combinatorics 2012, Perugia, 2012.
Theses
 PhD Thesis (English), Algebraic Combinatorics Intersecting Finite Geometry, 2015.
 Master Thesis (German), Intriguing Sets in Polar Spaces, 2011.
 Bachelor Thesis (German), $1 \equiv p$ Results in Finite Projective Spaces, 2009.