Degrees of Sums of Algebraic Numbers in an Abelian Extension

Galois theory paper through Stanford's 2024 SURIM program.

#math #research

During the summer of 2024, I participated in the Stanford Undergraduate Research Institute in Mathematics (SURIM) program. Together with Natalie Deering and Ebenezer Lobe and under the guidance of Rodrigo Sanches Angelo, we published a paper fully answering the question of the possible degrees of sums of algebraic numbers in an abelian extension.

The paper is available here, and I’ve also attached it below (it’ll only show up if you’re using a computer).

there’s supposed to be a pdf here, but your browser can’t display it. here’s the link instead: pdf