Conference presentations
37. June 2025: Butson matrices and related objects with symmetry. Dublin Discrete Mathematics Workshop (DDMW2025), University College Dublin.
36. May 2025: A new perspective on cocyclic development. Hadamard 2025, Seville, Spain.
35. August 2024: Monomial representations and combinatorics. Irish Mathematical Society annual meeting, Queen's University Belfast.
34. July 2024: Monomial representations and combinatorics. British Combinatorial Conference, London.
33. June 2024: Monomial representations and combinatorics. Combinatorics 2024, Italy.
32. April 2024: Monomial representations and combinatorics. Combinatorial Constructions Conference, Dubrovnik, Croatia.
31. December 2023: Quadratic forms in design theory (invited plenary). Australasian Combinatorics Conference, University of Western Australia, Perth.
30. November 2023: On the Hadamard maximal determinant problem. Australian Algebra Conference, Monash University, Melbourne.
29. August 2023: The Hadamard maximal determinant problem: its history in reverse. Irish History of Mathematics 6, Maynooth University.
28. July 2023: The Hadamard maximal determinant problem. Rijeka Conference on Combinatorial Objects and their Applications (RICCOTA 2023), Rijeka, Croatia.
27. May 2023: Monomial actions, group cohomology and complex Hadamard matrices (invited). Groups in Galway, University of Galway.
26. December 2022: The Hadamard maximal determinant problem (invited plenary). 44th Australasian Combinatorics Conference, Otago, New Zealand (remote).
25. June 2022: The Hadamard maximal determinant problem. Workshop on Algebraic Designs, Hadamard Matrices and Quanta, Kraków, Poland.
24. August 2019: Morphisms of complex Hadamard matrices. Arasufest, Kalamata, Greece.
23. March 2019: Morphisms of complex Hadamard matrices. Southeastern Conference, Boca Raton, Florida.
22. September 2018: Morphisms of Butson matrices. Discrete Math Days in the Northeast, University of Rhode Island.
21. July 2017: Morphisms of Butson matrices. Workshop on Complex Hadamard Matrices and Applications, Budapest, Hungary.
20. June 2016: Uncertainty principles and trades in Hadamard matrices. Nordic Combinatorial Conference, Levi, Finland.
19. August 2015: Almost equiangular lines. Systems of Lines: Applications of Algebraic Combinatorics, Worcester Polytechnic Institute.
18. July 2015: Trades in (complex) Hadamard matrices. British Combinatorial Conference, University of Warwick.
17. December 2014: Classification of cocyclic Butson Hadamard matrices. Australia New Zealand Mathematics Convention, University of Melbourne.
16. December 2014: Compressed sensing with Hadamard matrices and pairwise balanced designs. 38th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Wellington, New Zealand.
15. July 2014: Hadamard matrices, pairwise balanced designs and compressed sensing. Algebraic Design Theory with Hadamard Matrices, Banff International Research Station, Canada.
14. July 2014: Combinatorial designs and compressed sensing. Workshop on Algebraic Design Theory and Hadamard Matrices, University of Lethbridge, Canada.
13. December 2013: Combinatorial designs and compressed sensing. 37th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Perth.
12. July 2013: A construction for the outer automorphism of S6. Groups St Andrews.
11. July 2013: Equivalence of difference sets. British Combinatorial Conference, Royal Holloway, London.
10. December 2012: (In)equivalence of difference sets. 36th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Sydney.
9. June 2012: Symmetric designs, difference sets and Hadamard matrices. Croatian Mathematical Congress, Rijeka.
8. December 2011: Classification of cocyclic Hadamard matrices. 35th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing.
7. November 2011: Doubly transitive groups and Hadamard matrices. International Workshop on Hadamard Matrices and their Applications, Melbourne.
6. November 2011: Automorphisms of Hadamard matrices and skew difference sets. Algebraic Combinatorics: in memory of Bob Liebler, Fort Collins, Colorado.
5. April 2011: Doubly transitive group actions on Hadamard matrices and skew difference sets. De Brún Workshop on Groups, Combinatorics and Computing.
4. June 2010: An application of doubly transitive groups in design theory. Postgraduate Group Theory Conference, St Andrews.
3. July 2009: The cocyclic Hadamard matrices of order less than 40. International Conference on Design Theory and Applications, NUI Galway.
2. June 2009: Design theory for coding theorists. Workshop on Gröbner Bases, Geometric Codes and Order Domains, Trento.
1. April 2008: Cocyclic Hadamard matrices. Postgraduate Group Theory Conference, Oxford.
Invited seminars
31. September 2025: Monomial groups and combinatorial matrices. ANTA Seminar, Aalto University, Finland.
30. April 2025: Matrices with specified automorphisms. Mary Immaculate College, Limerick.
29. February 2025: Constructing Legendre-type sequences with less finite geometry. DCU–UCD Discrete Mathematics Seminar.
28. April 2024: Monomial representations and combinatorics. Mathematical Sciences Research Centre, Queen's University Belfast.
27. February 2024: Sequencing Steiner systems. DCU–UCD Discrete Mathematics Seminar.
26. February 2023: The Hadamard maximal determinant problem. Mathematics and Statistics Colloquium, Maynooth University.
25. March 2022: Packings of Steiner triple systems. Online Combinatorics Seminar.
24. March 2020: Complex Hadamard matrices, minimal polynomials and morphisms. University College Dublin.
23. October 2019: User-private information retrieval and generalised quadrangles. Monash University, Australia.
22. September 2019: Minimal polynomials of complex Hadamard matrices. Monash University, Australia.
21. September 2019: Minimal polynomials of complex Hadamard matrices. University of Melbourne, Australia.
20. September 2019: User-private information retrieval and generalised quadrangles. Royal Melbourne Institute of Technology, Australia.
19. April 2019: Morphisms of complex Hadamard matrices. University College Cork.
18. April 2019: Morphisms of complex Hadamard matrices. NUI Galway.
17. April 2018: User-private information retrieval. Departmental Seminar, Colby College, Maine, USA.
16. March 2018: Morphisms of Butson matrices. Tutte Seminar, University of Waterloo, Canada.
15. October 2017: User-private information retrieval. Wireless Networking and Communications Seminar, University of Texas at Austin, USA.
14. September 2017: User-private information retrieval. College of the Holy Cross, Worcester, Massachusetts, USA.
13. July 2017: Morphisms of Butson matrices. University of Rijeka, Croatia.
12. February 2016: Mathematics of compressed sensing. NUI Galway.
11. February 2016: Mathematics of compressed sensing. Worcester Polytechnic Institute, USA.
10. May 2015: Unbiased bases, uncertainty principles and trades in complex Hadamard matrices. University of Newcastle (Australia!).
9. April 2015: Compressed sensing and combinatorial designs. CMSC Seminar, University of Western Australia.
8. July 2013: Nested symmetric designs. Departmental Seminar, NUI Galway.
7. February 2013: Algebraic aspects of Hadamard matrices. Algebra Seminar, University of Western Australia.
6. November 2012: Hadamard matrices, difference sets and doubly transitive permutation groups. Algebra Seminar, University of Queensland.
5. November 2012: Hadamard matrices, difference sets and doubly transitive permutation groups. Combinatorics Seminar, Monash University.
4. May 2012: Difference sets and Hadamard matrices. Departmental Seminar, NUI Galway.
3. March 2012: Difference sets and Hadamard matrices. Departmental Seminar, NUI Maynooth.
2. February 2012: Hadamard matrices and difference sets (focus on permutation groups). Algebra Seminar, University College Dublin.
1. November 2011: Doubly transitive group actions on designs and Hadamard matrices. Algebra Seminar, University of Bristol.
Teaching, outreach and AI
7. April 2025: Conquering AI for effective teaching (with Patrick Browne). Faculty (Teaching) Insights Series webinar, University College Dublin.
6. April 2025: Assessment is dead: a human-generated overview of AI capabilities (with Patrick Browne). Technological University of the Shannon.
5. February 2025: STEM & Gaeilge: mo shaol, mo scéal & mo thuairim f(h)éin. Galway.
4. February 2025: GPS, time and space: mathematics meets electrical engineering. Algebraic Adventures for Future Engineers, Technological University of the Shannon.
3. April 2024: Making abstract algebra concrete: physical intuition in group theory. CASTEL, Dublin City University.
2. February 2024: Linear feedback shift registers: mathematics meets electrical engineering. Algebraic Adventures for Future Engineers, Technological University of the Shannon.
1. 2022: William Rowan Hamilton agus ailgéabar na Quaternions. Dublin City University.
Internal seminars
32. October 2019: Asymptotic existence of Hadamard matrices. Combinatorics Reading Group, Monash University.
31. September 2019: Weighing matrices. Combinatorics Reading Group, Monash University.
30. September 2019: Generalised polygon graphs. Graph Theory Seminar, Monash University.
29. September 2019: Automorphisms of graphs. Graph Theory Seminar, Monash University.
28. April 2019: Dimensions of matrix algebras. De Brún problem sessions, NUI Galway.
27. September 2018: Characteristic polynomials of Hadamard matrices. Discrete Mathematics Seminar, WPI.
26. April 2018: Binary correlation amplifiers. Discrete Mathematics Seminar, WPI.
25. March 2018: More on morphisms of Butson matrices.
24. November 2017: Nesting symmetric designs. Discrete Mathematics Seminar, WPI.
23. April 2017: Morphisms of Butson matrices. Discrete Mathematics Seminar, WPI.
22. January 2017: User-private information retrieval and finite geometry. Discrete Mathematics Seminar, WPI.
21. November 2016: Characters, difference sets and equiangular lines. Combinatorics Seminar, WPI.
20. May 2016: Correlation amplifiers for binary vectors. Algorithms Seminar, Aalto University.
19. October 2015: Equivalence testing for complex Hadamard matrices. Computational Design Theory Group Seminar, Aalto University.
18. October 2015: Hadamard matrices and their automorphisms. Algebra and Number Theory Seminar, Aalto University.
17. October 2015: Introduction to compressed sensing. Large Structures Seminar, Aalto University.
16. June 2015: Designs, permutation groups and centraliser algebras. Monash University.
15. September 2014: Entrance seminar. Combinatorics Seminar, Monash University.
14. September 2014: Exit seminar. Pure Mathematics Seminar, University of Queensland.
13. May 2014: The Lovász Local Lemma and applications (one-hour presentation). Computational Geometry Seminar.
12. April–May 2014: Complex simple Lie algebras and their representations (two 90-minute presentations). Quantum Field Theory Seminar.
11. November 2013: Combinatorial designs and compressed sensing. Pure Mathematics Seminar, University of Queensland.
10. February 2012: Strongly regular graphs I–III. Linear Algebra Seminar, NUI Galway.
9. October 2011: On Gramians of (0,1) matrices. Linear Algebra Seminar, NUI Galway.
8. October 2011: PhD defence talk. NUI Galway.
7. March 2011: The Lie–Kolchin theorem. Algebraic Groups Seminar, NUI Galway.
6. January 2011: Finding the regular subgroups of a permutation group. Postgraduate Student Seminar, NUI Galway.
5. November 2010: The definition of an algebraic group. Algebraic Groups Seminar, NUI Galway.
4. October 2010: An introduction to Ramsey theory. Postgraduate Student Seminar, NUI Galway.
3. February 2010: An introduction to cyclotomy. Postgraduate Student Seminar, NUI Galway.
2. February 2009: The cup product in cohomology. Algebraic Topology Reading Group, NUI Galway.
1. September 2008: Cocyclic matrices. Postgraduate Student Seminar, NUI Galway.