REU Computational Research on Local Fields and Galois Groups

Results

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Posters from the Elon Summer Undergraduate Research Experiences (SURE) Poster Session

The article Students, mentors dive deep during Summer Undergraduate Research Experience describes the poster session. Click on the images of the posters to obtain the PDF.

Thumbnail of Poster: Discriminants as Invariants of Local Fields

Thumbnail of Poster: Classifying Degree pm Extensions of the p-adic Numbers

Thumbnail of Poster: Enumerating Ramification Polygons of Degree p^2

Thumbnail of Poster: Classifying p-adic Fields of Degree p2

Article

Chad Awtrey, Alexander Gaura, Sebastian pauli, Sandi Ruszinski, Ariel Uy, and Scott Zinzer, The First Digit of the Discriminant of Eisenstein Polynomials as an Invariant of Totally Ramified Extensions of p-Adic Fields

Chad Awtrey, Department of Mathematics and Statistics, Elon University
Sebastian Pauli, Number Theory Group Department of Mathematics and Statistics, UNCG