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Friday, October 26, 2018
D634
Noon to 12:50 p.m.
Talk is accessible to undergrads. No prior knowledge of quadratic fields assumed.
Michael J. Jacobson Jr.
Professor and Associate Head, Department of Computer Science
Board Member at ISPIA (Institute for Security, Privacy and Information Assurance)
University of Calgary
PhD in Computer Science, Technische Universität Darmstadt, Germany (1999)
M.Sc. in Computer Science, University of Manitoba (1995)
Areas of research: cryptography (data security) and computational number theory.
Title: Computations in Quadratic Fields
Abstract: Quadratic fields have been studied since the time of Gauss,
and in modern times have been used in applications such as integer
factorization and public-key cryptography. In this talk, we will give
a brief overview of some applications and computational problems in
this area. Our main focus will be on computing tables of the ideal
class group of quadratic fields, which are used to provide valuable
numerical evidence in support of a number of unproven heuristics and
conjectures. We will discuss recent efforts to extend existing,
unconditionally correct tables of both imaginary and real quadratic
fields.
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science