Michael Tuite

Courses 09-10

Semester I:

• MP363/MP452 Methods in Mathematical Physics I
  
• MP403 Cosmology and General Relativity
  

Semester II:

• MP206/208 Mathematical Methods II
  
• MP170/180 Applied Mathematics
  

Research Interests

Vertex Operator Algebras and Conformal Field Theory, Monstrous Moonshine, Modular Groups, Genus Two and Higher Conformal Field Theory, Exceptional VOAs. 

Michael Tuite earned a B.Sc. in Mathematical Science in 1978, an M.Sc. in 1979 and a Ph.D. in Theoretical High Energy Physics in 1984 from the University of Cambridge. Michael 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. Michael joined the Department of Mathematical Physics in 1990. Michael has collaborated with a number of theoretical physicists and mathematicians with a strong research link with the Univ. California Santa Cruz. He has also been invited to many international centres in the past number of years such as the Univ. of Cambridge, ITEP Moscow, Tokyo University, Ohio State Univ., University of Montreal and Imperial College London.

Michael has research interests both in theoretical physics (quantum field theory and conformal field theory) and pure mathematics (vertex operator algebras, the Monster group and modular groups). Most recently he has been working on genus two and higher conformal field theory and vertex operator algebras in collaboration with Geoff Mason of UC Santa Cruz and Alexander Zuevsky of NUI, Galway.

SELECTED PUBLICATIONS:

1. M.P. Tuite, Monstrous Moonshine from orbifolds, Commun . Math. Phys. 146, 277-309 (1992).
2. M.P.Tuite , Genus two meromorphic conformal field theory, CRM Proceedings & Lecture Notes 30 231-251 (2001).
3. R.I. Ivanov and M.P. Tuite, Rational generalized Moonshine from abelian orbifoldings of the Moonshine Module, Nucl.Phys. B635 435-472 (2002).
4. G. Mason and M.P. Tuite, Torus chiral n-point functions for free boson and lattice vertex operator algebras, Commun.Math.Phys. 235 47-68 (2003).
5. M.P. Tuite, The Virasoro algebra and some exceptional Lie and finite groups, SIGMA 3 (2007), 008.
6. G. Mason and M.P. Tuite, On genus two Riemann surfaces formed from sewn tori, Commun.Math.Phys. 270 587-634 (2007).
7. G. Mason, M.P. Tuite and A. Zuevsky, Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds, Commun.Math.Phys. 283 305-342 (2008).
8. M.P. Tuite, Exceptional vertex operator algebras and the Virasoro algebra, Contemp.Math. 497 213-225 (2009).

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