-
Courses
Courses
Choosing a course is one of the most important decisions you'll ever make! View our courses and see what our students and lecturers have to say about the courses you are interested in at the links below.
-
University Life
University Life
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 range of key areas of expertise.
-
Research & Innovation
Research & Innovation
NUI Galway’s vibrant research community take on some of the most pressing challenges of our times.
-
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
Alumni, Friends & Supporters
There are over 90,000 NUI Galway graduates Worldwide, connect with us and tap into the online community.
-
Community Engagement
Community Engagement
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.
Mathematics, Statistics & Applied Mathematics
Dr John Michael Burns
Biography
Research Interests
Peer Reviewed Journals
Year | Publication | |
---|---|---|
(2015) | 'COMPACT HOMOGENEOUS SPACES WITH POSITIVE EULER CHARACTERISTIC AND THEIR 'STRANGE FORMULAE''
Burns, JM,Makrooni, MA (2015) 'COMPACT HOMOGENEOUS SPACES WITH POSITIVE EULER CHARACTERISTIC AND THEIR 'STRANGE FORMULAE''. Quarterly Journal Of Mathematics, 66 :507-516 [DOI] [Details] |
|
(2013) | 'On the Jacobi equation and manifolds with multiple conjugate points'
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] |
|
(2012) | 'Power sums of Coxeter exponents'
Burns, JM,Suter, R (2012) 'Power sums of Coxeter exponents'. Advances In Mathematics, 231 :1291-1307 [DOI] [Details] |
|
(2012) | 'Power sums of Coxeter exponents'
Burns, John M. and Suter, Ruedi (2012) 'Power sums of Coxeter exponents'. Adv. Math, 231 (3-4):1291-1307 [DOI] [Details] |
|
(2010) | 'Recurrence relations and Dynkin diagrams'
Burns, John M. and Clancy, Michael J. (2010) 'Recurrence relations and Dynkin diagrams'. Math. Proc. R. Ir. Acad, 110A (1):13-19 [DOI] [Details] |
|
(2009) | 'Maximal order Abelian subgroups of symmetric groups'
BURNS, J.M. et al. (2009) 'Maximal order Abelian subgroups of symmetric groups'. BULLETIN OF THE LONDON MATHEMATICS SOCIETY, [Details] |
|
(2009) | 'EXPONENTS AND HIGHEST ROOT COEFFICIENTS'
Burns, JM (2009) 'EXPONENTS AND HIGHEST ROOT COEFFICIENTS'. Communications In Algebra, 37 :3815-3819 [DOI] [Details] |
|
(2007) | 'Recurrence relations, Dynkin diagrams and Plucker formulae'
Burns, JM,Clancy, MJ (2007) 'Recurrence relations, Dynkin diagrams and Plucker formulae'. Glasgow Mathematical Journal, 49 :53-59 [DOI] [Details] |
|
(2006) | 'Lattice polygons in the plane and the number 12'
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] |
|
(2005) | 'Smyth surfaces and the drehriss'
Burns, JM,Clancy, MJ (2005) 'Smyth surfaces and the drehriss'. Proceedings Of The Edinburgh Mathematical Society, 48 :549-555 [DOI] [Details] |
|
(2002) | 'Weight sum formulae in Lie algebra representations'
Burns, JM,Clancy, MJ (2002) 'Weight sum formulae in Lie algebra representations'. Journal Of Algebra, 257 :1-12 [DOI] [Details] |
|
(2000) | 'An elementary proof of the 'strange formula' of Freudenthal and de Vries'
Burns, JM (2000) 'An elementary proof of the 'strange formula' of Freudenthal and de Vries'. Quarterly Journal Of Mathematics, 51 :295-297 [Details] |
|
(1998) | 'Inequalities for Baer invariants of finite groups'
Burns, J,Graham, E (1998) 'Inequalities for Baer invariants of finite groups'. Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques, 41 :385-391 [Details] |
|
(1997) | 'On the nilpotent multipliers of a group'
Burns, J,Ellis, G (1997) 'On the nilpotent multipliers of a group'. Mathematische Zeitschrift, 226 :405-428 [Details] |
|
(1997) | 'Lower central series of groups with small upper central factors'
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] |
|
(1995) | 'The trace of an abelian group---an application to digraphs'
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] |
|
(1994) | 'ON QUASI-PERMUTATION REPRESENTATIONS OF FINITE-GROUPS'
BURNS, JM,GOLDSMITH, B,HARTLEY, B,SANDLING, R (1994) 'ON QUASI-PERMUTATION REPRESENTATIONS OF FINITE-GROUPS'. Glasgow Mathematical Journal, 36 :301-308 [Details] |
|
(1994) | 'POLAR SETS AS NONDEGENERATE CRITICAL SUBMANIFOLDS IN SYMMETRICAL SPACES'
BURNS, JM,CLANCY, MJ (1994) 'POLAR SETS AS NONDEGENERATE CRITICAL SUBMANIFOLDS IN SYMMETRICAL SPACES'. Osaka Journal Of Mathematics, 31 :533-559 [Details] |
|
(1993) | 'Conjugate loci of totally geodesic submanifolds of symmetric spaces'
Burns, J. M. (1993) 'Conjugate loci of totally geodesic submanifolds of symmetric spaces'. Trans. Amer. Math. Soc, 337 (1):411-425 [DOI] [Details] |
|
(1992) | 'Homotopy of compact symmetric spaces'
BURNS, JM (1992) 'Homotopy of compact symmetric spaces'. Glasgow Mathematical Journal, 34 :221-228 [Details] |
|
(1989) | 'Maximal order abelian subgroups of symmetric groups'
Burns, J. M. and Goldsmith, B. (1989) 'Maximal order abelian subgroups of symmetric groups'. Bull. London Math. Soc, 21 (1):70-72 [DOI] [Details] |