Below is a brief summary of the people involved in the 2015 REU, their results, and their post-REU activities:

**PROJECT GROUPS AND RESULTS**

- General Area: Elliptic Curves
- Leader: Jeremy Rouse
- Participants:
- Alexi Block Gorman (2016 Wellesley College graduate, 2018 NSF graduate research fellowship recipient, and a math Ph.D. candidate at the University of Illinois, Urbana-Champaign)
- Tyler Genao (Florida Atlantic University, 2017 NSF graduate research fellowship recipient, and a math Ph.D. candidate at the University of Georgia)
- Heesu Hwang (Princeton University)
- Noam Kantor (Emory University, 2015 Goldwater scholar, 2017 Marshall Scholarship recipient)
- Sarah Parsons (2016 Wake Forest University graduate, now a master’s student in computer science at Wake Forest University)

- Results:
- “The density of primes dividing a particular non-linear recurrence sequence” (Block Gorman, Genao, Hwang, Kantor, Parsons, Rouse),
*Acta Arithmetica***175**(2016), no. 1, 71-100.

- “The density of primes dividing a particular non-linear recurrence sequence” (Block Gorman, Genao, Hwang, Kantor, Parsons, Rouse),

- General Area: Quadratic Forms
- Leader: Kate Thompson
- Participants:
- Sarah Blackwell (2016 University of Saint Louis graduate, now a math Ph.D. candidate at the University of Georgia)
- Gabriel Durham (2016 University of Georgia graduate, now a masters student in the Erasmus Mathematical Modeling in Engineering program)
- Tiffany Treece (2016 University of Georgia graduate, now a math teacher at Chattahoochee High School)

- Results:
- “A generalization of Mordell to ternary quadratic forms” (Blackwell, Durham, Thompson, Treece),
*International Journal of Number Theory***12**(2016), no. 8, 2081-2105. - “Representations of integers by ternary quadratic forms: a geometric approach” (Durham),
*Integers***16**(2016), Paper No. A62.

- “A generalization of Mordell to ternary quadratic forms” (Blackwell, Durham, Thompson, Treece),

**GUEST SPEAKERS**

- Matt Mastin, Wake Forest University/MailChimp
- Lillian Pierce, Duke University
- Amelie Schreiber, Wake Forest University/University of Connecticut (grad student speaker)
- Frank Thorne, University of South Carolina
- Cassie Williams, James Madison University

**TALKS ON REU MATERIAL GIVEN**

- “Primes dividing the ECHO sequence” (Block Gorman, Genao, Hwang, Kantor, Parsons), Mock AMS Conference, University of Georgia, July 2015. Also, given at the AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates and Students in Post-Baccalaureate Programs, AMS-MAA Joint Meetings, Saturday, January 9, 2016.

- “A generalization of Mordell to ternary quadratic forms” (Blackwell, Durham, Treece), Mock AMS Conference, University of Georgia, July 2015. Also, given at the AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates and Students in Post-Baccalaureate Programs, AMS-MAA Joint Meetings, Saturday, January 9, 2016.

**INFORMAL UGA GRADUATE STUDENT PANELISTS**