1. A construction of an infinite family of 2-arc transitive polygonal graphs of arbitrary odd girth, Journal of Combinatorial Theory Series A 117 (6), 2010, 783–789.
2. A construction of an infinite family of 2-arc transitive polygonal graphs of arbitrary even girth, Journal of Algebraic Combinatorics 33 (1), 2011, 95–109.
3. A note on the girth-doubling construction for polygonal graphs (with Ákos Seress), Journal of Graph Theory 68, 2011, 246–254.
4. The locally 2-arc transitive graphs admitting an almost simple group of Suzuki type, Journal of Combinatorial Theory Series A 119, 2012, 949–976.
5. A family of near-polygonal graphs of valency 10 (with Ákos Seress), Annals of Combinatorics 16, 2012, 891–903.
6. AS-Configurations and skew-translation generalised quadrangles (with John Bamberg and Stephen Glasby), Journal of Algebra 421, 2015, 311–330.
7. A construction of a partial difference set in the extraspecial groups of order p3 with exponent p2, Designs, Codes and Cryptography 75 (2), 237–242.
8. A note on relative hemisystems of Hermitian generalised quadrangles (with John Bamberg and Melissa Lee), Designs, Codes and Cryptography 81 (1), 2016, 131–144.
9. On 2-arc-transitive graphs of order kpn (with Luke Morgan and Gabriel Verret), Journal of Combinatorial Theory Series B 117, 2016, 77–87.
10. Locally 3-arc transitive regular covers of complete bipartite graphs, Electronic Journal of Combinatorics 23 (2), 2016, Paper 2.18, 20 pp.
11. On the covering number of symmetric groups having degree divisible by six, Discrete Mathematics 339 (11), 2016, 2593–2604.
12. On the covering number of small symmetric groups and some sporadic simple groups (with Luise-Charlotte Kappe and Daniela Nikolova-Popova), Groups Complexity Cryptology 8 (2), 2016, 135–154. Files related to this paper can be found here.
13. A classification of finite antiflag-transitive generalized quadrangles (with John Bamberg and Cai Heng Li), Transactions of the American Mathematical Society 370 (3), 2018, 1551–1601.
14. The circular altitude of a graph (with John Bamberg, Brian Corr, Alice Devillers, Dan Hawtin, and Irene Pivotto), Australasian Journal of Combinatorics 72 (2), 2018, 357–368.
15. On the covering number of S14 (with Ryan Oppenheim), Involve 12 (1), 2019, 89–96. Supplementary material related to this paper can be found here.
16. On generalized quadrangles with a point regular group of automorphisms, European Journal of Combinatorics 79, 2019, 60–74.
17. Spectra of Hadamard matrices (with Ronan Egan and Padraig Ó Catháin), Australasian Journal of Combinatorics 73, 2019, 501–512.
18. Improved User-Private Information Retrieval via Finite Geometry (with Oliver Gnilke, Marcus Greferath, Camilla Hollanti, Guillermo Nuñez Ponasso, and Padraig Ó Catháin), Designs, Codes and Cryptography 87 (2–3), 2019, 665–677.
19. Transitive PSL(2,11)-invariant arcs in PG(4,q) (with Torger Olson), Designs, Codes and Cryptography 87 (8), 2019, 1871–1879.
20. Homomorphisms of matrix algebras and constructions of Butson-Hadamard matrices (with Padraig Ó Catháin), Discrete Mathematics 342 (12), 2019.
21. On prime order automorphisms of generalized quadrangles (with Santana Afton), Algebraic Combinatorics 3 (1), 2020, 143–160.
22. Fuchs' problem for 2-groups (with Nicholas Werner), Journal of Algebra 556, 2020, 225–245.
Corrigendum to "Fuchs' problem for 2-group" (with Nicholas Werner) Journal of Algebra 608, 2022, 25–36.
A corrected version of this article can also be found here.
23. On the number of reachable pairs in a digraph (with Nicholas Werner), Australasian Journal of Combinatorics 77 (2), 2020, 184–223.
24. Graphs that contain multiply transitive matchings (with Alex Schaefer), European Journal of Combinatorics 92, 2021, Paper No. 103236. 22 pp.
25. Covering numbers of commutative rings (with Nicholas Werner), Journal of Pure and Applied Algebra 225 (8), 2021, Paper No. 106622, 17 pp.
26. Restrictions on parameters of partial difference sets in nonabelian groups (with Gabrielle Tauscheck), Journal of Combinatorial Designs 29 (1), 2021, 38–51.
27. A classification of finite locally 2-transitive generalized quadrangles (with John Bamberg and Cai Heng Li), Transactions of the American Mathematical Society 74 (3), 2021, 1535–1578.
28. On integers that are covering numbers of groups (with Martino Garonzi and Luise-Charlotte Kappe), Experimental Mathematics 31 (2), 2022, 425–443. Supplementary material related to this paper can be found here.
29. Locally s-arc-transitive graphs arising from product action (with Michael Giudici), Ars Mathematica Contemporanea 23 (2), 2023, Paper No. 10, 14 pp.
30. A new infinite family of σ-elementary rings (with Nicholas Werner), Communications in Algebra 52, 2024, 172–188.
31. The covering numbers of rings (with Nicholas Werner), Journal of Algebra 639, 2024, 249–280.
32. Null ideal sets of 3 x 3 similar matrices with irreducible characteristic polynomial (with Nicholas Werner), Linear and Multilinear Algebra, 72 (15), 2024, 2516–2538.
33. Genuinely nonabelian partial difference sets (with James A. Davis, John Polhill, and Ken Smith), Journal of Combinatorial Designs 32 (7), 2024, 351–370.
34. New Spence difference Sets (with James A. Davis, John Polhill, Ken Smith, and Jordan Webster), Designs, Codes and Cryptography 93 (4), 2025, 879–888.
35. Exponential and weakly exponential subgroups of finite groups (with Nicholas Werner), International Journal of Group Theory 14 (4), 2025, 263–283.
36. Nonabelian partial difference sets constructed using abelian techniques (with James A. Davis, John Polhill, and Ken Smith), Algebraic Combinatorics 8 (2), 2025, 399–419.
37. Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality (with Pierre Clare, Chi-Kwong Li, and Ed Poon), Journal of Geometry and Physics 213, 2025, Paper No. 105483, 20 pp.
38. Covering rings by proper ideals (with Malcolm Hoong Wai Chen and Nicholas Werner), Communications in Algebra, available online 30 April 2026.
39. Combinatorial transfer: a new method for constructing infinite families of nonabelian difference sets, partial difference sets, and relative difference sets (with James A. Davis, John Polhill, and Ken W. Smith), Combinatorial Theory, to appear. Preprint available here.
40. Cliques and independent subgroups of of the Birkhoff polytope graph (with Zejun Huang, Chi-Kwong Li, and Nung-Sing Sze).
41. Character theoretic techniques for nonabelian partial difference sets (with Seth R. Nelson).
42. Enumerating Vector Parking Functions and their Outcomes Based on Specified Lucky Cars (with Melanie Ferreri, Pamela E. Harris, and Lucy Martinez).
43. Circular sorting in the alternating group (with Melanie Ferreri and Nicholas Werner)
44. The effect of edge deletion on noncommutative distances on graphs.