Below is a brief summary of the people involved in the 2016 REU, and their results:

The 2016 group of WADErs after their talks at the UGA Mock AMS conference.

PROJECT GROUPS AND RESULTS

1. General Area: Quadratic Forms
   • Leader: Kate Thompson
   • Participants:
     • Madeleine Barowsky (Wellesley College)
     • Will Damron (Davidson College, now a Ph.D. candidate in economics at Yale)
     • Andres Mejia (Bard College)
     • Frederick Saia (Tufts University, now a Ph.D. candidate in mathematics at the University of Georgia)
     • Nolan Schock (Cal Poly San Luis Obispo, now a Ph.D. candidate in mathematics at the University of Georgia)
   • Results: “Classically Integral Quadratic Forms Excepting at Most Two Values” (Barowsky, Damron, Mejia, Saia, Schock, Thompson), Proceedings of the American Mathematical Society 146 (2018), no. 9, 3661-3677.
2. General Area: Sums of two squares/cyclotomic polynomials
   • Leader: Jeremy Rouse
   • Participants:
     • Kylie Hess (Rose-Hulman Institute of Technology)
     • Emily Stamm (Vassar College)
     • Terrin Warren (University of Georgia, now a Ph.D. candidate in mathematics at the University of Georgia)
   • Results: When is aⁿ+1 the sum of two squares? (Jointly written with a group from Washington and Lee University), accepted for publication in Involve.

GUEST SPEAKERS

1. Andrea Hairston, Department of Defense.
2. Carl Yerger, Davidson College.
3. Caroline Turnage-Butterbaugh, Duke University.
4. Sarah Parsons and Gabe Durham (2015 WADE alumni).

TALKS ON REU MATERIAL GIVEN

• “Classically Integral Quaternary Quadratic Forms Excepting at Most Two Values,” (Barowsky, Damron, Mejia, Saia, and Schock). Mock AMS Conference, University of Georgia, July 2016. Also given at the 2016 Young Mathematicians Conference, Ohio State University, August 2016. Also given at the 2017 Joint Math Meetings in Atlanta, GA.
• “When is aⁿ+1 a sum of two squares?” (Hess, Stamm, and Warren). Mock AMS Conference, University of Georgia, July 2016. Also given at the 2017 Joint Math Meetings in Atlanta, GA.

INFORMAL UGA GRADUATE STUDENT PANELISTS

• Sarah Blackwell (2015 WADE alum).
• Kubra Benli
• Jason Joseph
• Hans Parshall
• Bret Stevenson