Samantha Platt

Most of my research attention is devoted to algebraic number theory, where my interests include Gaussian periods, supercharacter theory, class field theory, elliptic curves and complex multiplication, and automorphic forms on unitary groups. My advisor is Ellen Eischen.

My research statement is here.

Papers

Visual Aspects of Gaussian Periods and Analogues. arXiv preprint. Submitted for publication in International Journal of Number Theory. Here is the GitHub link for the code used in the paper: Gaussian Periods and Analogues Code.

Talks

I have given several versions of the same talk on my research into Gaussian periods and their analogues, including some expository and introductory talks at the University of Oregon's Student Number Theory Seminar. The following is a list of more public-facing presentations I've given about my research. 

Previously Given Presentations:

• “Visual Aspects of Gaussian Periods and Analogues.” GallianFest at University of Minnesota-Duluth (2023)
• “Visual Aspects of Gaussian Periods and Analogues.” AWM Research Symposium at Clark Atlanta University (2023).

• “Visual Aspects of Gaussian Periods and Analogues.” Joint Mathematics Meetings: AMS Special
  Session on Arithmetic Geometry with a View toward Computation (2024).

Visual Examples from My Research