PhD Dissertation Defense: “Reduced Ideals and Periodic Sequences In Pure Cubic Fields” | Department of Mathematics
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PhD Dissertation Defense: “Reduced Ideals and Periodic Sequences In Pure Cubic Fields”

Event Information
Speaker: 
Tony Jacobs
Event Location: 
GAB 461
Event Date: 
Friday, May 8, 2015 - 12:00pm

Professor Lior Fishman invites you to attend the PhD dissertation defense of Tony Jacobs next Friday, May 8th, at 12:00 pm in GAB 461. Cake and coffee will be served in GAB 472 following this event.

"Reduced Ideals and Periodic Sequences In Pure Cubic Fields"

Abstract:

The "infrastructure" of quadratic fields is a body of theory developed by Dan Shanks, Richard Mollin and others, in which they relate "reduced ideals" in the rings and sub-rings of integers in quadratic fields with periodicity in continued fraction expansions of quadratic numbers. In this thesis, we develop cubic analogs for several infrastructure theorems. We work in the field K = ℚ (α), where α ^3 =