GEOFFREY MASON Professor of Mathematics B.Sc., University of London Ms., Ph.D., University of Illinois, Chicago

Phone: 831-459-2215 Office: Baskin 259B Office Hours: By Appt. Email: gem@ucsc.edu

RESEARCH INTERESTS

Geoffrey Mason's present research interests lie in the broadly conceived area of physical mathematics called conformal field theory. The main focus at the moment is aimed at developing a theory of representations of vertex operator algebras, in particular in the presence of a group of symmetries. This endeavor involves close ties with many other areas of mathematics such as number theory (in particular the theory of elliptic modular forms and Siegal modular forms), Lie algebras, Hopf algebras and quantum groups, group theory and representations of groups, integrable models, Riemann surfaces, topological quantum, field theory, elliptic cohomology, etc.

SELECTED PUBLICATIONS

G. Mason and M. Truite: Chiral algebras and partition functions, Contemporary Math 442 (2007) 401-410.

G. Mason: Vector-valued modular forms and linear differential operators, Intnl J. Number Theory 3 No. 3 (2007) 377-390.

G. Mason and M. Truite: On Genus Two Riemann Surfaces Formed from Sewn Tori, Comm. Math. Phys 207 (2007) 587-634.

C. Goff, G. Mason, and S.-H. Ng: On the gauge-equivalence of twisted quantum doubles of elementary abelian and extra-special 2-groups, Journal of Algebra 312 No. 2 (2007) 849-875.

G. Mason: Reed-Muller Codes, the Fourth Cohomology of a Finite Group, and the b-invariant, Journal of Algebra 312 No. 1 (2007) 218-227.

G. Mason, H. Miller, and D. Ravenel: Rational Vertex Operator Algebras in Elliptic Cohomology, London Math Society Lecture Note Series 342 CUP (2007) 239-254.

N. Diamantes, M. Knopp, G. Mason, and C. O'Sullivan: L-functions of second-order Cusp-forms, Ramanujan Journal 12 (2006) 327-347.

C. Dong and G. Mason: Integrability of c^2-cofinite vertex operator algebras, Int. Math. Res. Not Article ID 80468 (2006) 1-15.

C. Dong and G. Mason: Shifted vertex operator algebras, Math. Proc. Cambs. Phil Society 141 Part 1 (2006) 67-80.

G. Mason and S.-H. Ng: Central invariants and Frobenius-Schur indicators for semi-simple quasi-Hopf algebras, Advances in Mathematics 190 (2005) 161-195.

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