Biography

Website: http://users.rowan.edu/~simons/

Education:
BSc (Mathematics), McGill University
MA (Mathematics), Princeton University
PhD (Mathematics), Princeton University

Research Expertise:
Finite group theory | Computational number theory

I am interested in extended Coxeter presentations leading to finite groups and sporadic groups including the Monster and Bimonster. This work involves both machine-aided investigation as well as more theoretical and geometric explorations. These presentations have connections to modular functions through the monstrous moonshine phenomenon.

I am also interested in aspects of computational number theory relating to integer sequences such as the chirality of integer triples and its resulting recursive properties.

Recent Publications:
Li M-S, Robertson K, Osler TJ, Hassen A, Simons CS, Wright M (2009) On numbers equal to the sum of two squares in more than one way. Math Comput Educ. 43:102-108.

Simons CS, Wright M (2007) Fibonacci imposters. Internat J Math Ed Sci Tech. 38:677-682.

Simons CS (2005) An elementary approach to the Monster. Amer Math Monthly. 112:334-341.

Simons CS, Wright M (2004) Zeroing the baseball indicator and the chirality of triples. J Integer Seq. 7:8p.

Conway JH, Simons CS (2001) 26 implies the Bimonster. J Algebra. 235:805-814.