# REU Computational Research on Local Fields and Galois Groups

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## People

### Participants

**
Cameron Cinel,
**
University of Southern California, CA

**
Judah Devadoss,
**
Williams College, MA

**
Alexander Gaura,
**
Princeton University, NJ

**
Elisabeth Howard,
**
Hamilton College, NY

**
Alex Jenny,
**
Midwestern State University, TX

**
Kaitlyn McGloin,
**
Loyola Marymount University, CA

**
Juan Quiroa,
**
UNC Greensboro, NC

**
Ariel Uy,
**
Carnegie Mellon University, PA

**
Jacob Zoromski,
**
University of Wisconsin - Madison, WI

### Staff

**Sandi Rudzinski,
Graduate Student at UNCG
**

Sandi Rudzinski is working on her dissertation under Sebastian Pauli. She is currently working on improving and implementing known algorithms for constructing class fields over local fields.

**Scott Zinzer, Assistant Professor at Aurora University
**

Scott Zinzer's research interests lie in algebraic number theory and p-adic analysis.

He is deeply passionate about inviting students into the mathematics community and about introducing his students to new mathematical worlds (most notably arithmetic and analysis in the p-adic setting).

### Organizers

**Chad Awtrey,
Associate Professor at Elon University
**

Chad Awtrey's main research interests lie in algebraic number theory, p-adic fields, and computational Galois theory.

A passionate proponent of undergraduate research, he regularly engages undergraduates in problems related to his research program, and he fosters a commitment in his students to disseminate their work through publications and national/regional presentations.

**Sebastian Pauli,
Associate Professor at UNCG
**

Sebastian Pauli's research interests include algorithms for polynomials over local fields and the construction of extensions of local fields with given invariants.

Two of the recents dissertations written under him are Algorithms for Enumerating Invariants and Extensions of Local Fields and Computing Galois groups of Eisenstein polynomials over p-adic fields.

Chad Awtrey, Department of Mathematics and Statistics,
Elon University

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