Honors Oral Exam

Algorithms for Galois Theory

Benjamin Kuehnert (University of Rochester)

Friday, May 14th, 2021
2:30 PM - 3:30 PM
https://rochester.zoom.us/j/98628927517

The Galois group of a polynomial is an important tool in algebra, and it allows one to reduce problems of field theory to group theory.

However, the Galois group can be difficult to compute by hand. In this paper, we accumulate research in the area of algorithmic algebraic number theory and give a general algorithm to compute the Galois group of a polynomial.

Methods covered include root-finding algorithms, LLL lattice reduction, and the Galois resolvent method.

Event contact: jonathan dot pakianathan at rochester dot edu