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Thursday, July 16, 2026 - 16:00 in V2-210/216


I’ve got Euclid’s, I’ve got Al Gore, I’ve got Rhythm, who could ask for anything more?

A talk in the Mathematisches Kolloquium series by
Timothy Trudgian from UNSW Canberra

Abstract: Inspired by Gershwin, the title refers to the oldest (?) mathematical algorithm: Euclid’s algorithm for division. This allows us to divide two numbers, keep track of remainders, and recover GCDs. I will discuss other algebraic settings: some rings are known to be Euclidean (meaning they have this algorithm), some are known not to be; many are unknown. I will end with a summary of recent work done by Bagger, Booker, Kerr, McGown, Starichkova, and me, that resolves completely the case of cyclic cubic fields.



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