
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 researchled 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
Professor Michael Tuite
Biography
Research Interests
Peer Reviewed Journals
Year  Publication  

(2018)  'N=2 and N=4 subalgebras of super vertex operator algebras'
Mason, G; Tuite, MP ;Yamskulna, G (2018) 'N=2 and N=4 subalgebras of super vertex operator algebras'. Journal Of Physics AMathematical And Theoretical, 51 [DOI] [Details] 

(2017)  'Vertex algebras according to Isaac Newton'
Tuite, MP (2017) 'Vertex algebras according to Isaac Newton'. Journal Of Physics AMathematical And Theoretical, 50 [DOI] [Details] 

(2013)  'ON THE TORUS DEGENERATION OF THE GENUS TWO PARTITION FUNCTION'
Hurley, D,Tuite, MP (2013) 'ON THE TORUS DEGENERATION OF THE GENUS TWO PARTITION FUNCTION'. International Journal Of Mathematics, 24 [DOI] [ARAN Link] [Details] 

(2013)  'Some generalizations of the MacMahon Master Theorem'
Tuite, MP (2013) 'Some generalizations of the MacMahon Master Theorem'. Journal Of Combinatorial Theory Series A, 120 :92101 [DOI] [Details] 

(2012)  'VIRASORO CORRELATION FUNCTIONS FOR VERTEX OPERATOR ALGEBRAS'
Hurley, D,Tuite, MP (2012) 'VIRASORO CORRELATION FUNCTIONS FOR VERTEX OPERATOR ALGEBRAS'. International Journal Of Mathematics, 23 [DOI] [Details] 

(2012)  'A generalized vertex operator algebra for Heisenberg intertwiners'
Tuite, MP,Zuevsky, A (2012) 'A generalized vertex operator algebra for Heisenberg intertwiners'. Journal Of Pure And Applied Algebra, 216 :14421453 [DOI] [Details] 

(2011)  'The Szego kernel on a sewn Riemann surface'
Tuite, M.P., Zuevsky, A. (2011) 'The Szego kernel on a sewn Riemann surface'. Communications In Mathematical Physics, 306 :617645 [ARAN Link] [Details] 

(2011)  'Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I'
Tuite, MP,Zuevsky, A (2011) 'Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I'. Communications In Mathematical Physics, 306 :419447 [DOI] [Details] 

(2010)  'Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I'
Mason, G,Tuite, MP (2010) 'Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I'. Communications In Mathematical Physics, 300 :673713 [DOI] [Details] 

(2009)  'Exceptional vertex operator algebras and the Virasoro algebra'
Tuite, M.P. (2009) 'Exceptional vertex operator algebras and the Virasoro algebra'. CONTEMPORARY MATHEMATICS, 497 :213225 [ARAN Link] [Details] 

(2008)  'Torus npoint functions for Rgraded vertex operator superalgebras and continuous fermion orbifolds'
Mason, G,Tuite, MP,Zuevsky, A (2008) 'Torus npoint functions for Rgraded vertex operator superalgebras and continuous fermion orbifolds'. Communications In Mathematical Physics, 283 :305342 [DOI] [ARAN Link] [Details] 

(2007)  'The Virasoro Algebra and Some Exceptional Lie and Finite Groups'
Tuite, MP (2007) 'The Virasoro Algebra and Some Exceptional Lie and Finite Groups'. Symmetry Integrability And GeometryMethods And Applications, 3 [DOI] [Details] 

(2007)  'On genus two Riemann surfaces formed from sewn tori'
Mason, G,Tuite, MP (2007) 'On genus two Riemann surfaces formed from sewn tori'. Communications In Mathematical Physics, 270 :587634 [DOI] [ARAN Link] [Details] 

(2003)  'Torus chiral npoint functions for free boson and lattice vertex operator algebras'
Mason, G,Tuite, MP (2003) 'Torus chiral npoint functions for free boson and lattice vertex operator algebras'. Communications In Mathematical Physics, 235 :4768 [DOI] [ARAN Link] [Details] 

(2003)  'A string motivated approach to the relativistic point particle'
Sen, S., Tuite, M.P. (2003) 'A string motivated approach to the relativistic point particle'. MODERN PHYSICS LETTERS A, A18 :24832490 [Details] 

(2002)  'Rational generalized Moonshine from abelian orbifoldings of the Moonshine Module'
Ivanov, R.I., Tuite, M.P. (2002) 'Rational generalized Moonshine from abelian orbifoldings of the Moonshine Module'. NUCLEAR PHYSICS B, B635 :435472 [ARAN Link] [Details] 

(2002)  'Some irrational generalized Moonshine from orbifolds'
Ivanov, R.I., Tuite, M.P. (2002) 'Some irrational generalized Moonshine from orbifolds'. NUCLEAR PHYSICS B, B635 :473491 [Details] 

(2001)  'Genus two meromorphic conformal field theory'
Tuite, M.P. (2001) 'Genus two meromorphic conformal field theory'. CRM PROCEEDINGS & LECTURE NOTES, 30 :231251 [Details] 

(2000)  'Generalized Moonshine from orbifoldings'
Ivanov, R.I., Tuite, M.P. (2000) 'Generalized Moonshine from orbifoldings'. BALKAN PHYSICS LETTERS, 4 :532526 [Details] 

(1995)  'Generalized Moonshine and abelian orbifold constructions'
Tuite, M.P. (1995) 'Generalized Moonshine and abelian orbifold constructions'. CONTEMPORARY MATHEMATICS, 193 :353368 [ARAN Link] [Details] 

(1995)  'ON THE RELATIONSHIP BETWEEN MONSTROUS MOONSHINE AND THE UNIQUENESS OF THE MOONSHINE MODULE'
TUITE, MP (1995) 'ON THE RELATIONSHIP BETWEEN MONSTROUS MOONSHINE AND THE UNIQUENESS OF THE MOONSHINE MODULE'. Communications In Mathematical Physics, 166 :495532 [Details] 

(1992)  'Monstrous Moonshine from orbifolds'
Tuite, M.P. (1992) 'Monstrous Moonshine from orbifolds'. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 146 :277309 [Details] 

(1989)  'The failure of AtkinLehner symmetry for lattice compactified strings'
Balog, J., Tuite, M.P. (1989) 'The failure of AtkinLehner symmetry for lattice compactified strings'. NUCLEAR PHYSICS B, B319 :387414 [Details] 

(1987)  'Stochastic quantisation and gauge fixing in lattice gauge theories'
Lautrup,B., Lavelle, M.J., Tuite,M.P., Vladikas, A. (1987) 'Stochastic quantisation and gauge fixing in lattice gauge theories'. NUCLEAR PHYSICS B, B 290 :188204 [Details] 

(1987)  'Stochastic quantisation in nonabelian gauge theories'
Lavelle, M.J., Tuite,M.P. (1987) 'Stochastic quantisation in nonabelian gauge theories'. NUCLEAR PHYSICS B, B 290 :205217 [Details] 

(1987)  'The quantised nonabelian monopole'
Sen, S., Tuite, M.P. (1987) 'The quantised nonabelian monopole'. PHYSICAL REVIEW D, D36 :16391643 [Details] 

(1987)  'Stochastic quantisation and gauge fixing for nonabelian lattice gauge theories'
Tuite, M. P. and Lavelle, M. J. (1987) 'Stochastic quantisation and gauge fixing for nonabelian lattice gauge theories'. Nuclear Phys. B, 290 (2):205217 [DOI] [Details] 

(1984)  'The transverse hadronic energy distribution in deep inelastic scattering'
Tuite, M.P. (1984) 'The transverse hadronic energy distribution in deep inelastic scattering'. NUCLEAR PHYSICS B, B 236 :4860 [Details] 

(1984)  'Psi D D bar production in nucleon scattering'
Tuite, M.P. (1984) 'Psi D D bar production in nucleon scattering'. Zeitschrift Für Physik C, C23 :365367 [Details] 

(1982)  'Higher twist contributions from the direct pion coupling in e+e annihilation, photoproduction and pp DrellYan'
Grayson,S.L, Tuite, M.P (1982) 'Higher twist contributions from the direct pion coupling in e+e annihilation, photoproduction and pp DrellYan'. ZEITSCHRIFT FÜR PHYSIK C, C13 :337346 [Details] 

(1982)  'Inclusive production of heavy quarkonia in e+e annihilation'
Grayson,S.L, Tuite, M.P (1982) 'Inclusive production of heavy quarkonia in e+e annihilation'. ZEITSCHRIFT FÜR PHYSIK C, C14 :157160 [Details] 

(1982)  'The transverse hadronic energy accompanying weak bosons'
Halzen, F., Martin, A.D., Scott, D.M., Tuite, M.P (1982) 'The transverse hadronic energy accompanying weak bosons'. ZEITSCHRIFT FÜR PHYSIK C, C14 :351355 [Details] 
Book Chapters
Year  Publication  

(2014)  'On exceptional vertex operator (super) algebras'
Tuite, Michael P. and Van, Hoang Dinh (2014) 'On exceptional vertex operator (super) algebras' In: Springer, Cham. [Details] 

(2014)  'Free bosonic vertex operator algebras on genus two Riemann surfaces II'
Mason, Geoffrey and Tuite, Michael P. (2014) 'Free bosonic vertex operator algebras on genus two Riemann surfaces II' In: Springer, Heidelberg. [Details] 

(2010)  'Vertex operators and modular forms'
Mason, Geoffrey and Tuite, Michael (2010) 'Vertex operators and modular forms' In: Cambridge Univ. Press, Cambridge. [Details] 

(2010)  'Monstrous and generalized Moonshine and permutation orbifolds'
Tuite, Michael P. (2010) 'Monstrous and generalized Moonshine and permutation orbifolds' In: Cambridge Univ. Press, Cambridge. [Details] 

(2009)  'Exceptional vertex operator algebras and the Virasoro algebra'
Tuite, Michael P. (2009) 'Exceptional vertex operator algebras and the Virasoro algebra' In: Amer. Math. Soc., Providence, RI. [Details] 

(2007)  'Chiral algebras and partition functions'
Mason, Geoffrey and Tuite, Michael P. (2007) 'Chiral algebras and partition functions' In: Amer. Math. Soc., Providence, RI. [Details] 

(1996)  'Monstrous Moonshine and orbifolds'
Tuite, Michael P. (1996) 'Monstrous Moonshine and orbifolds' In: de Gruyter, Berlin. [Details] 

(1996)  'Generalised Moonshine and abelian orbifold constructions'
Tuite, Michael P. (1996) 'Generalised Moonshine and abelian orbifold constructions' In: Amer. Math. Soc., Providence, RI. [Details] 

(1993)  'Monstrous Moonshine and the uniqueness of the Moonshine module'
Tuite, Michael P. (1993) 'Monstrous Moonshine and the uniqueness of the Moonshine module' In: Plenum, New York. [Details] 
Conference Publications
Year  Publication  

(2011)  RIMS Kokyuroko 1756 8193 (2011)
M.P. Tuite and A. Zuevsky (2011) The bosonic vertex operator algebra on a genus g Riemann surface RIMS Kokyuroko 1756 8193 (2011) , pp.8193 [ARAN Link] [Details] 

(2010)  “A WINDOW INTO ZETA AND MODULAR PHYSICS”, MATHEMATICAL SCIENCES RESEARCH INSTITUTE PUBLICATIONS , CAMBRIDGE UNIVERSITY PRESS, (CAMBRIDGE)
Mason, G., Tuite, M.P. (2010) Vertex operators and modular forms “A WINDOW INTO ZETA AND MODULAR PHYSICS”, MATHEMATICAL SCIENCES RESEARCH INSTITUTE PUBLICATIONS , CAMBRIDGE UNIVERSITY PRESS, (CAMBRIDGE) , pp.183278 [ARAN Link] [Details] 

(2010)  “MOONSHINE: THE FIRST QUARTER CENTURY AND BEYOND”, LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES, CAMBRIDGE UNIVERSITY PRESS, (CAMBRIDGE)
Tuite, M.P. (2010) Monstrous and generalized Moonshine and permutation orbifolds . In: J. LEPOWSKY, J. MCKAY AND M.P. TUITE eds. “MOONSHINE: THE FIRST QUARTER CENTURY AND BEYOND”, LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES, CAMBRIDGE UNIVERSITY PRESS, (CAMBRIDGE) , pp.378392 [ARAN Link] [Details] 

(2007)  Lie algebras, vertex operator algebras and their applications, CONTEMPORARY 442
Mason, G., Tuite, M.P. (2007) Partition functions and chiral algebras Lie algebras, vertex operator algebras and their applications, CONTEMPORARY 442 , pp.404410 [ARAN Link] [Details] 

(2003)  RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES KOKYUROKO
Ivanov, R.I., Tuite, M.P. (2003) Generalized Moonshine and orbifold constructions RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES KOKYUROKO , pp.170180 [ARAN Link] [Details] 

(2001)  Proceedings on Moonshine and related topics (Montr\'eal, QC
Tuite, Michael P. (2001) Genus two meromorphic conformal field theory Proceedings on Moonshine and related topics (Montr\'eal, QC , pp.231251 [Details] 

(1996)  GROUPS, DIFFERENCE SETS AND THE MONSTER; EDS. K.T.ARASU ET AL., (DE GRUYTER, BERLIN)
Tuite, M.P. (1996) Monstrous Moonshine and orbifolds GROUPS, DIFFERENCE SETS AND THE MONSTER; EDS. K.T.ARASU ET AL., (DE GRUYTER, BERLIN) , pp.443461 [Details] 

(1996)  Monstrous moonshine and orbifolds
Tuite, MP,Arasu, KT,Dillon, JF,Harada, K,Sehgal, S,Solomon, R (1996) GROUPS, DIFFERENCE SETS, AND THE MONSTER Monstrous moonshine and orbifolds , pp.443461 [Details] 

(1993)  PROCEEDINGS OF THE NATO ADVANCED RESEARCH WORKSHOP ON LOW DIMENSIONAL TOPOLOGY AND QUANTUM FIELD THEORY (PLENUM PRESS, NEW YORK)
Tuite M.P. (1993) Monstrous Moonshine and the uniqueness of the Moonshine module PROCEEDINGS OF THE NATO ADVANCED RESEARCH WORKSHOP ON LOW DIMENSIONAL TOPOLOGY AND QUANTUM FIELD THEORY (PLENUM PRESS, NEW YORK) , pp.289296 [Details] 
Edited Books
Year  Publication  

(2010)  Moonshine: the First Quarter Century and Beyond. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES.
Lepowsky, J., McKay, J. , Tuite, M.P (Ed.). (2010) Moonshine: the First Quarter Century and Beyond. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Moonshine: the First Quarter Century and Beyond. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES. CAMBRIDGE: CAMBRIDGE UNIVERSITY PRESS. [Details] 