2015 Summary

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

The inaugural REU group after their Mock AMS talks.

The inaugural group after their Mock AMS talks (Athens, GA. 2015).

PROJECT GROUPS AND RESULTS

  1. 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:
      1. “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.
  2. 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:
      1. “A generalization of Mordell to ternary quadratic forms” (Blackwell, Durham, Thompson, Treece), International Journal of Number Theory 12 (2016), no. 8, 2081-2105.
      2. Representations of integers by ternary quadratic forms: a geometric approach” (Durham), Integers 16 (2016), Paper No. A62.

GUEST SPEAKERS

  1. Matt Mastin, Wake Forest University/MailChimp
  2. Lillian Pierce, Duke University
  3. Amelie Schreiber, Wake Forest University/University of Connecticut (grad student speaker)
  4. Frank Thorne, University of South Carolina
  5. 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.
    2015-07-30 09.39.39
  • 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.
    2015-07-30 10.24.06

INFORMAL UGA GRADUATE STUDENT PANELISTS