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College of Liberal Arts and Sciences | Mathematics

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January 22, 2019 | 3:00 p.m. - 4:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Trevor Hyde, University of Michigan

Title: Cyclotomic factors of necklace polynomials


The sequence of necklace polynomials M_d(x) arise as the solution to several related combinatorial problems, including the enumeration of aperiodic necklaces and irreducible polynomials over a finite field. Through numerical experiments we find that necklace polynomials are highly reducible over the rational numbers, vanishing at many roots of unity. In this talk I will explain the source of this phenomenon and how it relates to number theory, group theory, and geometry.

For more information about this event, please contact Department of Mathematics at 3135772479 or