Dr Russell Higgs BA PhD
Contact Details
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Biography:
| Russell Higgs studied Pure Mathematics at the University of Liverpool. He did his doctoral work at the Universities of Liverpool and Notre Dame. He is currently a Senior Lecturer in the School of Mathematical Sciences at University College Dublin. |
Research Interests
| Representation theory, coding theory, computer algebra, quantum groups. |
Peer Reviewed Journals
| Higgs, R., Humphreys, J.F.; (2006) 'A dual approach to alpha-regularity'. INTERNATIONAL JOURNAL OF MATHEMATICS, GAME THEORY AND A, 15 :117-122. [Details] |
| Higgs, R.; (2005) 'The bad behavior of representation groups'. Journal of Algebra and its Applications, 4 :139-151. [Details] |
| Higgs, R.J. and Humphreys, J.F.; (2002) 'Two error-location for quadratic residue codes'. Iee Proceedings - Communications, 149 :129-131. [Details] |
| Higgs, R.J. and Humphreys, J.F.; (2002) 'Multiplicities of projective character degree patterns of Hamiltonian groups'. International Journal of Mathematics, Game Theory and A, 12 :215-224. [Details] |
| Higgs, R.J.; (2001) 'Projective representations of abelian groups'. Journal of Algebra, 242 :769-781. [Details] |
| Higgs, R.J. and Humphreys, J.F.; (2001) 'Twisted central products and Hamiltonian groups'. Mathematical Proceedings of the Royal Irish Academy, 101A :137-148. [Details] | |||||||||
| Higgs, R.J. and Humphreys, J.F.; (2000) 'Projective character degree patterns of 2-groups'. Communications in Algebra, 28 :1189-1210. [Details] | |||||||||
| Higgs, R.J. and Hunphreys, J.F.; (1999) 'Projective characters of direct products of certain p-groups'. Communications in Algebra, 27 :4493-4514. [Details] | |||||||||
| Higgs, R.J.; (1998) 'On projective characters of the same degre'. GLASGOW MATHEMATICAL JOURNAL, 40 :431-434. [Details] | |||||||||
| Higgs, R.J. and Humphreys, J.F.; (1998) 'Decoding the quintic (11, 6, 5) quadratic residue code'. Mathematical Proceedings of the Royal Irish Academy, 98 :47-51. [Details] | |||||||||
| Higgs, R.J.; (1998) 'Groups whose projective character degrees are powers of a prime'. GLASGOW MATHEMATICAL JOURNAL, 30 :177-180. [Details] | |||||||||
| Higgs, R.J.; (1998) 'Projective characters of odd degree'. Communications in Algebra, 26 :3133-3140. [Details] | |||||||||
| Higgs, R.J.; (1998) 'Trivial action on the tensor product of finite groups'. GLASGOW MATHEMATICAL JOURNAL, 30 :271-274. [Details] | |||||||||
| Higgs, R.J. and Humphreys, J.F.; (1993) 'Decoding the ternary (23, 12,8) quadratic residue code'. IEEE Transactions on Information Theory, 142 :129-134. [Details] | |||||||||
| Higgs, R.J. and Humphreys. J.F.; (1993) 'Decoding the ternary Golay code'. IEEE Proceedings-I Communications, 142 :1043-1046. [Details] | |||||||||
| Higgs, R.J.; (1991) 'On projective characters of prime degree'. GLASGOW MATHEMATICAL JOURNAL, 33 :311-321. [Details] | |||||||||
| Higgs, R.J.; (1990) 'On projective characters of prime degree'. GLASGOW MATHEMATICAL JOURNAL, 49 :497-505. [Details] | |||||||||
| Higgs, R.J.; (1989) 'Groups whose projective characters are Galois conjugate'. Mathematical Proceedings of the Cambridge Philosophical, 106 :193-197. [Details] | |||||||||
| Higgs, R.J.; (1989) 'Projective characters of degree one and the inflation-restriction sequence'. Journal of the Australian Mathematical Society, 46 :272-280. [Details] | |||||||||
| Higgs, R.J.; (1988) 'On the degrees of projective representations'. GLASGOW MATHEMATICAL JOURNAL, 30 :133-135. [Details] | |||||||||
| Higgs, R.J.; (1988) 'Groups with two projective characters'. Mathematical Proceedings of the Cambridge Philosophical, 103 :5-14. [Details] | |||||||||
| Higgs, R.J.; (1988) 'Groups which act transitively on the projective characters of a normal subgroup'. Mathematical Proceedings of the Cambridge Philosophical, 104 :429-434. [Details] | |||||||||
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Honours and Awards
| Year: 1980. Title: Willis Prize for Algebra, University of Liverpool |
| Year: 1980. Title: Hudson Prize for Geometry, University of Liverpool |
| Year: 2003. Title: President's Teaching Award, UCD |
Associations
| Association: Irish Mathematical Society, Function/Role: Elected Honorary Secretary (1997-1999), (2000-2002), (2002-2004) |
| Association: Member of the Mathematical Association of America, 1982-1985, Function/Role: * |
| Association: Member of the London Mathematical Society 1985-, Function/Role: * |
| Association: Member of the British Society for the History of Mathematics 1990-1996, Function/Role: * |
| Association: Member of the European Mathematical Society, 1994-, Function/Role: * |
| Association: Member of the American Mathematical Society, 1998-, Function/Role: * | |||||||||
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Conference Contributions
| Higgs, R.J.; (2003) Some inequalities concerning the order of the Schur multiplier of a finite group. [Invited Lecture], Groups in Galway, Galway , 16-MAY-03 - 17-MAY-03. |
| Higgs, R.J.; (1999) Small numbers of projective representations of finite groups. [Invited Lecture], University of Liverpool Colloquium, Liverpool , 01-DEC-99 - 01-DEC-99. |
| Higgs, R.J.; (1998) Small numbers of projective representations of finite groups. [Invited Lecture], Irish Mathematical Society Conference, DIT, Kevin St , 01-SEP-98 - 02-SEP-98. |
| Higgs, R.J.; (1996) Projective characters of the same degree. [Refereed Abstracts], Proceedings of the first Jamaican Conference on Group Theory and its Applications, * , 09-JAN-96 - 12-SEP-96. |