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Each year more than 4,000 choose NUI Galway as their University of choice. Find out what life at NUI Galway is all about here.
About NUI Galway
About NUI Galway
Since 1845, NUI Galway has been sharing the highest quality teaching and research with Ireland and the world. Find out what makes our University so special – from our distinguished history to the latest news and campus developments.
Colleges & Schools
Colleges & Schools
NUI Galway has earned international recognition as a research-led university with a commitment to top quality teaching across a rang of key areas of expertise.
Business & Industry
Guiding Breakthrough Research at NUI Galway
We explore and facilitate commercial opportunities for the research community at NUI Galway, as well as facilitating industry partnership.
- Alumni, Friends & Supporters
At NUI Galway, we believe that the best learning takes place when you apply what you learn in a real world context. That's why many of our courses include work placements or community projects.
Dr. John Michael Burns M.Sc.,Ph.D.
|Differential Geometry, Lie groups and homogeneous spaces. Algebra, Lie algebras and group theory.|
Peer Reviewed Journals
|Burns, J. M. and Staunton, E. and Wraith, D. J. (2013) 'On the Jacobi equation and manifolds with multiple conjugate points'. Math. Proc. R. Ir. Acad, 113 (1):19-30. [Details]|
|Burns, John M. and Suter, Ruedi (2012) 'Power sums of Coxeter exponents'. Adv. Math, 231 (3-4):1291-1307. [DOI] [Details]|
|Burns, John M. and Clancy, Michael J. (2010) 'Recurrence relations and Dynkin diagrams'. Math. Proc. R. Ir. Acad, 110A (1):13-19. [DOI] [Details]|
|BURNS, J.M. et al. (2009) 'Maximal order Abelian subgroups of symmetric groups'. BULLETIN OF THE LONDON MATHEMATICS SOCIETY, . [Details]|
|Burns, JM (2009) 'EXPONENTS AND HIGHEST ROOT COEFFICIENTS'. Communications In Algebra, 37 :3815-3819. [DOI] [Details]|
|Burns, JM,Clancy, MJ (2007) 'Recurrence relations, Dynkin diagrams and Plucker formulae'. Glasgow Mathematical Journal, 49 :53-59. [DOI] [Details]|
|Burns, John M. and O'Keeffe, David (2006) 'Lattice polygons in the plane and the number 12'. Irish Math. Soc. Bull, (57):65-68. [Details]|
|Burns, JM,Clancy, MJ (2005) 'Smyth surfaces and the drehriss'. Proceedings Of The Edinburgh Mathematical Society, 48 :549-555. [DOI] [Details]|
|Burns, JM,Clancy, MJ (2002) 'Weight sum formulae in Lie algebra representations'. Journal Of Algebra, 257 :1-12. [DOI] [Details]|
|Burns, JM (2000) 'An elementary proof of the 'strange formula' of Freudenthal and de Vries'. Quarterly Journal Of Mathematics, 51 :295-297. [Details]|
|Burns, J,Graham, E (1998) 'Inequalities for Baer invariants of finite groups'. Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques, 41 :385-391. [Details]|
|Burns, J,Ellis, G (1997) 'On the nilpotent multipliers of a group'. Mathematische Zeitschrift, 226 :405-428. [Details]|
|Burns, J. and Ellis, G. and MacHale, D. and \'O Murch\'u (1997) 'Lower central series of groups with small upper central factors'. Proc. Roy. Irish Acad. Sect. A, 97 (2):113-122. [Details]|
|Burns, J. M. and Goldsmith, B. (1995) 'The trace of an abelian group---an application to digraphs'. Proc. Roy. Irish Acad. Sect. A, 95 (suppl):75-79. [Details]|
|BURNS, JM,GOLDSMITH, B,HARTLEY, B,SANDLING, R (1994) 'ON QUASI-PERMUTATION REPRESENTATIONS OF FINITE-GROUPS'. Glasgow Mathematical Journal, 36 :301-308. [Details]|
|BURNS, JM,CLANCY, MJ (1994) 'POLAR SETS AS NONDEGENERATE CRITICAL SUBMANIFOLDS IN SYMMETRICAL SPACES'. Osaka Journal Of Mathematics, 31 :533-559. [Details]|
|Burns, J. M. (1993) 'Conjugate loci of totally geodesic submanifolds of symmetric spaces'. Trans. Amer. Math. Soc, 337 (1):411-425. [DOI] [Details]|
|BURNS, JM (1992) 'Homotopy of compact symmetric spaces'. Glasgow Mathematical Journal, 34 :221-228. [Details]|
|Burns, J. M. and Goldsmith, B. (1989) 'Maximal order abelian subgroups of symmetric groups'. Bull. London Math. Soc, 21 (1):70-72. [DOI] [Details]|