MATC Mathematics Club
Lecture #69
Madison Area Technical College
Madison, Wisconsin
"Fermat, modular arithmetic, and cryptology"
Abstract: Will explain some aspects of modular arithmetic and show how it arose from questions asked by Fermat and Wilson in the seventeenth and eighteenth centuries. I shall also explain how modular arithmetic can be used to factorize numbers and how these ideas lead to some encryption schemes.
Biography: Ranjan Roy (325 Chamberlin, 363–2348) Professor of Mathematics. B.S. and M.S. Indian Institute of Technology, Ph.D. (differential equations) State University of New York at Stony Brook. Ranjan was the College's Teacher of the Year in 1986 and again in 2000. He has received two notable awards from the Mathematical Association of America: the Allendoerfer Prize for expository writing in 1990 and being named a Distinguished Teacher of Mathematics in 2001. His research interests include algebraic number theory, hypergeometric series, differential equations, and history of mathematics. His book Special Functions with co-authors Richard Askey and George Andrews was published in 1999. In 1997 he taught a first-year seminar on Indian mythology.
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