Laboratory of Mathematical Physics Members Faculty

**Chris J. Cummins (Concordia)**

Affiliation:

Associate Professsor

Department of Mathematics and Statistics

Concordia University

Montreal, Qc H3G 1M8

Office: LB 639-3

Contact information:

Email: cummins@alcor.concordia.ca

Phone: (514) 848-2424 Ext. 3262

URL: http://cicma.mathstat.concordia.ca/faculty/cummins

Areas of research:

Applications of group theory to mathematical physics. Modular functions. Moonshine.

Graduate students:

Luc Bégin (University de Moncton)

Imin Chen, Terry Gannon (University of Alberta)

Luc Lapointe (McGill)

Pierre Mathieu (U Laval)

Sebastian Pauli

Postdoctoral fellows:

Jorgen Rasmussen (will change to research assistant after December)

Research Associates:

Visiting researchers:

Selected recent publications:

C J Cummins and S Pauli, "

Congruence subgroups of PSL(2,Z) of genus less than or equal to 24", Accepted for publication in Experimental mathematics (2003)C J Cummins and I Chen, "

Elliptic curves with non-split Mod 11 Galois structure", Accepted for publication in Mathematics of Computation (2002).Bégin, C J Cummins, L Lapointe, P Mathieu "

Fusion bases as facets of polytopes", J. Math. Phys.43, 4180-4201 (2002)C J Cummins "

Modular equations and discrete, genus-zero subgroups of SL(2,ÎR) containing G(N)", Canadian Mathematical Bulletin, Vol 45, No 1, 36-45.L. Bégin, C. Cummins and P. Mathieu, "

Fusion bases for affine Lie algebras", in Proceedings of the 6th International Wigner symposium, Bogazici University Press, Istanbul