# REU Computational Research on Local Fields and Galois Groups

## Projects

We describe some of the possible research projects for this REU. We do not expect that you have even heard of the mathematical objects on this page.- Generating polynomials for special cases
- Galois groups of polynomials in special cases
- Ramification polygons of higher order
- Possible automorphism groups of polynomials with given invariants
- Possible Galois groups of polynomials with given invariants
- Database of local fields
- Generalization of known results to the equal characteristic case

Chad Awtrey, Department of Mathematics and Statistics,
Elon University

Sebastian Pauli, Number Theory Group
Department of Mathematics and Statistics,
UNCG