It takes a lot of people to make a winning team. Everybody's contribution is important.
Robert Heffernan Profile
Personal Details
 Position: Lecturer.
 Research: My research interests are (mostly) in group theory.
Contact Details
 Departmental address: Department of Mathematics, Munster Technological University, Bishopstown, Cork, Ireland.
 Office: C224
 Phone: 021 433 6186
 Email: robert dot heffernan at mtu dot ie
Research
My research interests are primarily in the area of group theory. Initially, my work was in finite group theory (commuting probability, pgroups and their automorphisms, some character theory) but, more recently, I have developed an interest in geometric group theory.
Recent talks
 Embeddings of small finite groups, IMS September Meeting 2020, January 2021
 Groups, words, graphs and geometry, WIT Mathematics and Physics Seminar, May 2019
 Commuting probability of finite groups, Munster Groups, September 2018
 Lines: the only things we really understand, CIT Dept. of Mathematics Spring Seminar Series, May 2016
Publications

R. Heffernan, D. MacHale: Some shorter proofs for pgroups (Classroom note) in Bulletin of the Irish Mathematical Society, 86, 107108 (2020)

R. Heffernan, B. McCann: Minimal embeddings of finite cyclic groups (In preparation)

R. Heffernan, D. MacHale: Comparing large values of commutativity ratios in finite groups (in preparation)

R. Heffernan, B. McCann: Minimal embeddings of small finite groups in International Journal of Group Theory, 9 (3), 157183 (2020)

R. Heffernan, D. MacHale: Values of f(G) for groups G of odd order with Pr(G) >= 11/75 in Bulletin of the Irish Mathematical Society, 85, 1720 (2020)

R. Heffernan, D. MacHale: On the order of a smallest group with a given representation degree in Bulletin of the Irish Mathematical Society, 84, 2124 (2020)
 R. Heffernan, D. MacHale, B. McCann: Cayley's theorem revisited: Embeddings of small finite groups in Mathematics Magazine, 91 (2), 103111 (2018).
 R. Heffernan, D. MacHale, A. Ni She: Central factor groups and commutativity in Mathematical Proceedings of the Royal Irish Academy, Vol. 117A (2), 6375 (2017).
 R. Heffernan, D. MacHale, A. Ni She: Restrictions on commutativity ratios in finite groups in the International Journal of Group Theory, 3 (4), 112 (2014).
 J. Curran, R. Heffernan and D. MacHale: On the Order of the Automorphism Group of a Finite Group in Communications in Algebra, 39 (10), 36163624, (2011).
 E. C. Freuder, R. Heffernan, R. J. Wallace and N. Wilson: Lexicographicallyordered Constraint Satisfaction Problems in Constraints, 15 (1), 13837133 (2010).
 R. Heffernan and D. MacHale: On the sum of the character degrees of a finite group in Mathematical Proceedings of the Royal Irish Academy, 108A (1), 5763 (2008).
 E. C. Freuder, R. Heffernan and R. J. Wallace: Ordinal constraint satisfaction in The Proceedings of 5th International Workshop on Soft Constraints, 2003.