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Mathematical and Statistical Sciences

Professor Michael Tuite

MSc, PhD

 
researcher
 

Biography

B.Sc. (Mathematical Science) 1978 University College Dublin; M.Sc. (Mathematical Science) 1979 University College Dublin and Ph.D. (Theoretical Physics) 1984 University of Cambridge. I spent four years at Trinity College Dublin as a post-doctoral fellow, one year at Dublin City University as a contract lecturer and two years as a research scholar at the Dublin Institute for Advanced Studies. I joined  NUI Galway in 1990 as a college lecturer, became a senior lecturer in 1999 and personal professor in 2013.

Research Interests

I have research interests in theoretical physics (quantum field theory and conformal field theory) and pure mathematics (vertex operator algebras, the Monster group, modular groups and Riemann surfaces). Most recently I have been working on genus two and higher conformal field theory and vertex operator algebras in collaboration with Geoff Mason of UC Santa Cruz, Tom Gilroy and Mike Welby at NUI Galway. I am also interested in exceptional vertex operator algebras, superconformal algebras, Mathieu Moonshine, Jacobi forms, Lie algebras and combinatorics.

Peer Reviewed Journals

  Year Publication
(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 :495-532 [Details]
(2008) 'Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds'
Mason, G;Tuite, MP;Zuevsky, A (2008) 'Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds'. Communications In Mathematical Physics, 283 :305-342 [DOI] [Details]
(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 A-Mathematical And Theoretical, 51 [DOI] [Details]
(2017) 'Vertex algebras according to Isaac Newton'
Tuite, MP (2017) 'Vertex algebras according to Isaac Newton'. Journal Of Physics A-Mathematical 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 :92-101 [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 :1442-1453 [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 :617-645 [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 :419-447 [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 :673-713 [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 :213-225 [ARAN Link] [Details]
(2008) 'Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds'
Mason, G,Tuite, MP,Zuevsky, A (2008) 'Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds'. Communications In Mathematical Physics, 283 :305-342 [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 Geometry-Methods 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 :587-634 [DOI] [ARAN Link] [Details]
(2003) 'Torus chiral n-point functions for free boson and lattice vertex operator algebras'
Mason, G,Tuite, MP (2003) 'Torus chiral n-point functions for free boson and lattice vertex operator algebras'. Communications In Mathematical Physics, 235 :47-68 [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 :2483-2490 [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 :435-472 [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 :473-491 [Details]
(2001) 'Genus two meromorphic conformal field theory'
Tuite, M.P. (2001) 'Genus two meromorphic conformal field theory'. CRM PROCEEDINGS & LECTURE NOTES, 30 :231-251 [Details]
(2000) 'Generalized Moonshine from orbifoldings'
Ivanov, R.I., Tuite, M.P. (2000) 'Generalized Moonshine from orbifoldings'. BALKAN PHYSICS LETTERS, 4 :532-526 [Details]
(1995) 'Generalized Moonshine and abelian orbifold constructions'
Tuite, M.P. (1995) 'Generalized Moonshine and abelian orbifold constructions'. CONTEMPORARY MATHEMATICS, 193 :353-368 [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 :495-532 [Details]
(1992) 'Monstrous Moonshine from orbifolds'
Tuite, M.P. (1992) 'Monstrous Moonshine from orbifolds'. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 146 :277-309 [Details]
(1989) 'The failure of Atkin-Lehner symmetry for lattice compactified strings'
Balog, J., Tuite, M.P. (1989) 'The failure of Atkin-Lehner symmetry for lattice compactified strings'. NUCLEAR PHYSICS B, B319 :387-414 [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 :188-204 [Details]
(1987) 'Stochastic quantisation in non-abelian gauge theories'
Lavelle, M.J., Tuite,M.P. (1987) 'Stochastic quantisation in non-abelian gauge theories'. NUCLEAR PHYSICS B, B 290 :205-217 [Details]
(1987) 'The quantised non-abelian monopole'
Sen, S., Tuite, M.P. (1987) 'The quantised non-abelian monopole'. PHYSICAL REVIEW D, D36 :1639-1643 [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):205-217 [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 :48-60 [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 :365-367 [Details]
(1982) 'Higher twist contributions from the direct pion coupling in e+e- annihilation, photoproduction and p-p Drell-Yan'
Grayson,S.L, Tuite, M.P (1982) 'Higher twist contributions from the direct pion coupling in e+e- annihilation, photoproduction and p-p Drell-Yan'. ZEITSCHRIFT FÜR PHYSIK C, C13 :337-346 [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 :157-160 [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 :351-355 [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: :351-384 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: :183-225 Springer, Heidelberg. [Details]
(2010) 'Vertex operators and modular forms'
Mason, Geoffrey and Tuite, Michael (2010) 'Vertex operators and modular forms' In: :183-278 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: :378-392 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: :213-225 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: :401-410 Amer. Math. Soc., Providence, RI. [Details]
(1996) 'Monstrous Moonshine and orbifolds'
Tuite, Michael P. (1996) 'Monstrous Moonshine and orbifolds' In: :443-461 de Gruyter, Berlin. [Details]
(1996) 'Generalised Moonshine and abelian orbifold constructions'
Tuite, Michael P. (1996) 'Generalised Moonshine and abelian orbifold constructions' In: :353-368 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: :289-296 Plenum, New York. [Details]

Conference Publications

  Year Publication
(2009) VERTEX OPERATOR ALGEBRAS AND RELATED AREAS
Tuite, MP (2009) Exceptional Vertex Operator Algebras and the Virasoro Algebra VERTEX OPERATOR ALGEBRAS AND RELATED AREAS , pp.213-225 [Details]
(1996) GROUPS, DIFFERENCE SETS, AND THE MONSTER
Tuite, MP (1996) Monstrous moonshine and orbifolds GROUPS, DIFFERENCE SETS, AND THE MONSTER , pp.443-461 [Details]
(2011) RIMS Kokyuroko 1756 81-93 (2011)
M.P. Tuite and A. Zuevsky (2011) The bosonic vertex operator algebra on a genus g Riemann surface RIMS Kokyuroko 1756 81-93 (2011) , pp.81-93 [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.183-278 [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.378-392 [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.404-410 [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.170-180 [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.231-251 [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.443-461 [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.443-461 [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.289-296 [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]