Russell Higgs
Associate Professor
School Of Mathematics & Statistics
Science Centre - South
Belfield
Dublin 4
Tel: +353 1 7162576
Email: russell.higgs@ucd.ie
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 an Associate Professor in the School of Mathematics and Statistics at University College Dublin.
Professional
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: New Zealand Mathematical Society, Function/Role: Member |
Association: Irish Mathematical Society, Function/Role: Elected Honorary Secretary (1997-1999), (2000-2002), (2002-2004), Vice President (2004-2006), President (2006-2008) |
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: * |
Conference Contributions
Higgs, R.J. (2009) A gentle introduction to quantum computing. [Invited Oral Presentation], University of Otago Mathematics, Dunedin, New Zealand , 18-MAR-09 - 19-MAR-09. |
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. [Invited Oral Presentation], Proceedings of the first Jamaican Conference on Group Theory and its Applications, Kingston, Jamaica , 09-JAN-96 - 12-SEP-96. |
Committees
Committee : Faculty of Science, First Science Committee |
Committee : Faculty of Commerce Actuarial Science Committee |
Committee : Faculty of Science Library Committee |
Committee : Faculty of Arts Computer Users Committee |
Committee : Academic Council |
Committee : Faculty of Arts Library Committee |
Committee : University Library |
Employment
Employer: National University of Ireland Position: Senior Lecturer |
Education
Year 1980 Institution: University of Liverpool Qualification: BA Subject: |
Year 1985 Institution: University of Liverpool Qualification: PhD Subject: |
Publications
Book Chapters
Cao, N.; Higgs, R.; & O'Hare, G.M.P. (2015) 'Intelligent Evaluation Models based on Different Routing Protocols in Wireless Sensor Networks' In: Park, J.J.J.H.; Pan, Y.; Chao, H.-C.; & Yi, G (eds). Ubiquitous Computing Application and Wireless Sensor. New York, Berlin: Springer. , pp.197-209 [DOI] [Details] |
Peer Reviewed Journals
Higgs, R.J. (2017) 'Degree equality of projective characters'. Communications in Algebra, 45 (10):4275-4282. [DOI] [Details] |
Delaney, D.T.; Higgs, R.; & O'Hare, G.M.P. (2014) 'A Stable Routing Framework for Tree-based Routing Structures in WSNs'. IEEE Sensors Journal, 14 (10):3533-3547. [DOI] [Details] |
Higgs, R. (2013) 'Revisiting the linear information flow algorithm'. International Journal of Information and Coding Theory, 2 :96-104. [DOI] [Details] |
Higgs, R,Healy, D (2011) 'Projective character degree patterns of p-groups for p odd'. Communications in Algebra, 39 :2598-2606. [DOI] [Details] |
Higgs, R.J. (2011) 'Finite groups with irreducible projective representations of large degree'. Communications in Algebra, 39 :3897-3904. [Details] |
Curran, M.J. & Higgs, R.J. (2011) 'On minimal orders of groups with odd order automorphism groups'. Communications in Algebra, 39 :199-208. [Details] |
Higgs, R. (2010) 'Fine control over the projective characters of the centre of a group'. Communications in Algebra, 38 :4224-4233. [Details] |
Higgs, R.J. (2010) 'Bounds for general transmission systems'. IEEE Transactions on Information Theory, 56 :5943-5944. [Details] |
Higgs, R.J; Healy, D. (2010) 'Representation groups of small groups'. International Mathematical Forum, 5 :2603-2627. [Details] |
Jurdak, R,Ruzzelli, AG,O'Hare, GMP,Higgs, R; (2009) 'Directed Broadcast with Overhearing for Sensor Networks'. ACM Transactions on Sensor Networks, 6 :3.1-3.35. [DOI] [Details] |
Higgs, RJ; (2008) 'Nice error bases and Sylow subgroups'. IEEE Transactions on Information Theory, 54 :4199-4207. [DOI] [Details] |
Higgs, R. (2008) 'President's Report'. Irish Mathematical Society Bulletin, 62 :5-8. [Details] |
Higgs, R. (2007) 'President's Report'. Irish Mathematical Society Bulletin, 61 :5-8. [Details] |
Higgs, R.J; Healy, D. (2006) 'Projective character degree patterns of groups of order p^4'. Communications in Algebra, 34 :4623-4630. [Details] |
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, RJ; (2001) 'Projective representations of abelian groups'. J 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) '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.; (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) 'On projective characters of the same degre'. Glasgow Mathematical Journal, 40 :431-434. [Details] |
HIGGS, RJ,HUMPHREYS, JF; (1995) 'DECODING THE TERNARY-(23,12,8) QUADRATIC RESIDUE CODE'. Iee Proceedings, 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) 'Subgroups of the Schur Multiplier'. Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics, 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, RJ; (1988) 'GROUPS WHOSE PROJECTIVE CHARACTER DEGREES ARE POWERS OF A PRIME'. Glasgow Mathematical Journal, 30 :177-180. [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] |
Conference Publications
Cao, N., Higgs, R. & O'Hare, G.M.P., (2015) Intelligent Evaluation Models Based on Different Routing Protocols in Wireless Sensor Networks 3rd International Conference on Ubiquitous Computing Application and Wireless Sensor Network (UCAWSN-14) Jeju, Korea, , 07-JUL-14 - 10-JUL-14 , pp.197-209 [Details] |
Cao, N; Higgs, R; O'Hare, G. (2014) Intelligent evaluation models based on the Single-hop protocol in wireless sensor networks Advanced Information Networking and Applications , pp.239-244 [DOI] [Details] |
Cao, N.; Higgs, R., O'Hare, G.M.P (2014) Simulation-Based Coverage Optimization for the Nearest Closer Protocol in Wireless Sensor Networks Proceedings of the 6th International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC 2014) Shanghai, China, , 10-OCT-14 - 12-OCT-14 , pp.357-360 [DOI] [Details] |
Cao, N.; Higgs, R.; O'Hare, G.; Wu, R. (2014) Lifetime and Reliability Evaluation Models based on the Nearest Closer Protocol in Wireless Sensor Networks . In: Ghanza, M.; Maciaszek, L.; Paprzycki, M eds. The 2014 Federated Conference on Computer Science and Information Systems Warsaw, Poland, , 07-SEP-14 - 10-SEP-14 , pp.993-1000 [DOI] [Details] |
Cao, N.; Higgs, R.; O'Hare, G.M.P. (2012) An Intelligent Evaluation Model based on the LEACH Protocol in Wireless Sensor Networks Proceedings of International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC 2012) Sanya, Hainan, China, , pp.381-388 [DOI] Link to full text [Details] |
Reports
Higgs, R.J. and J.F. Humphreys; (1992) Algebraic decoding for non-binary codes. Reports [Details] |
Higgs, R.J. and J.F. Humphreys; (1991) Projective representations and error-correcting codes. Reports [Details] |
Higgs, R.J.; (1985) Degrees of projective representations. Reports [Details] |
Research
Research Interests
Representation theory, wireless sensor networks, coding theory, computer algebra, quantum groups. |
Research Projects
Sponsor : University College Dublin (UCD) Title : OBRSS Research Support Scheme Start Date / End Date : 01-NOV-16 / 31-OCT-19 |
Sponsor : Enterprise Ireland (EI) Title : Irreducible projective representatives of extra-special p-groups Start Date / End Date : 01-JUL-97 / 30-JUN-98 |
Sponsor : Enterprise Ireland (EI) Title : Irreducible projective representations of wreath products Start Date / End Date : 01-JUL-98 / 30-JUN-99 |
Sponsor : British Council Enterprise Ireland (EI) Title : Codes and Galois Conjugacy Start Date / End Date : 01-MAY-00 / 01-APR-01 |
Sponsor : University College Dublin (UCD) Title : Projective Character Theory via Magma Start Date / End Date : 01-SEP-04 / 31-AUG-06 |
Current Postgraduate Students
Conor Finnegan, Doctor of Philosophy (PhD) - Thesis Supervisor |