Nicole Miles '15, Chris Shill '14, Erin Strosnider '14, and A.L. Hook Associate Professor of Mathematics Chad Awtrey published a paper in the October 2016 issue of JP Journal of Algebra, Number Theory, and Applications.
Nicole Miles ’15, Chris Shill ’14, Erin Strosnider ’14, and A.L. Hook Associate Professor of Mathematics Chad Awtrey published a paper in the October 2016 issue of JP Journal of Algebra, Number Theory, and Applications.
The article, “Galois groups of degree 12 2-adic fields with trivial automorphism group,” describes theoretical results and algorithmic techniques for classifying symmetry properties of a certain collection of polynomials with arithmetically interesting coefficients.
The results are part of a larger program which aims to develop a comprehensive catalog of all symmetry properties of all polynomials with arithmetically interesting coefficients. Such data is a vital component of the research infrastructure of the international number theory community, since many unsolved problems use this data to tests hypotheses and formulate conjectures.
The research was completed in 2014 and was supported in part by NSF grant #DMS-1148695.