2019 Research Experiences for Undergraduates at Emory University
Number Theory
Dates: June 10 - July 19, 2019.
Math Building, Rooms E406 and E408
Instructors
- Ken Ono, Asa Griggs Candler Professor.
- Larry Rolen, Assistant Professor (Vanderbilt University).
- Jesse Thorner, NSF Postdoctoral Fellow (Stanford University)
- Madeline Locus Dawsey, 4th year Emory PhD Student.
- Ian Wagner, 4th year Emory PhD Student.
Basic Information
Ken Ono has been organizing REU programs since 2003 (formerly at U. Wisconsin (Madison) from 2003-2009). He has advised over 100 students including 6 Morgan Prize Winners and 6 Schafer Prize winners. The REU alums have won numerous other honors including Marshall Scholarships, NSF Graduate Fellowships (over 30), etc...
Thanks to funding from the NSF, NSA and private donors, we will be organizing a summer research experience in mathematics for the summer of 2019 on the beautiful campus of Emory University (adjacent to the Centers for Disease Control and Prevention (CDC)). We will seek to fill 8-16 openings in the REU. Most of the participants will be US citizens or permanent residents who are presently enrolled in a US undergraduate institution or high school. We have offered openings to high school students who are adequately prepared for the program. NSF supported participants will receive a $5250 stipend and also free accomodations.
2019 Project areas
- Analytic Study of High Performance Swimming
- Elliptic curves and Galois representations
- Mock modular and quantum modular forms
- Additive Number Theory
- Distribution of Primes
- Moonshine
2019 Participants
- Erin Bevilacqua
- Yunseo Choi (2021 Regeneron Science Talent Search 1st place Winner)
- Kapil Chandran
- Nate Gillman (Goldwater Scholar)
- Jonas Iskander
- Vanshika Jain (2021 Alice T. Schafer Prize (Honorable Mention))
- Caleb Ji
- Josh Kazdan
- Michael Kural
- Alice Lin (Churchill Scholar)
- Vaughan McDonald
- Eleanor McSpirit
- Sven Mehisovic
- Alex Pascadi
- Junyao Peng
- Nadia Riverso
- Ashwin Sah (Goldwater Scholar, 2021 Morgan Prize winner, and 2020 Morgan Prize Runner Up)
- Victoria Talvola
- Adit Vishnu
- Zoe Walker
Their results
- E. Bevilacqua, K. Chandran, and Y. Choi, Ramanujan congruences for fractional partition functions, Proceedings of the American Mathematical Society, 150 (2022), 2755-2770.
- Y. Choi, Congruences in fractional partition functions, Integers, 21 (2021), Art. A10.
- N. Gillman, M. Kural, A. Pascadi, J. Peng, and A. Sah, Patterns of primes in the Sato-Tate conjecture, Research in Number Theory, 6 (2020), Art. 9.
- J. Iskander, V. Jain, and V. Talvola, Exact formulae for the fractional partition functions, Research in Number Theory, 6 (2020), Art. 20.
- C. Ji, J. Kazdan, and V. McDonald, Primes with Beatty and Chebotarev conditions, Journal of Number Theory, 216 (2020), 307-334.
- M. Kural, V. McDonald, and A. Sah, Mobius formulas for densities of sets of prime ideals, Archiv der Mathematik, 115 (2020), 53-66.
- A. Lin, E. McSpirit, and A. Vishnu, Algebraic relations between partition functions and the j-function, Research in Number Theory, 6 (2020), Art. 6.
Application Materials (Deadline for Completed Applications: February 15, 2019)
Note. In accordance with the new REU consortium rule, applicants will not be required to accept or decline an offer before early March 2019.
Apply here.
A complete application consists of:
- Cover sheet (automatically generated by MathPrograms.org)
- CV (clearly indicate citizenship)
- Two letters of recommendation
- Undergraduate Transcripts (unofficial ok)
- Personal/Research Statement: Please explain your interest in arithmetic geometry/number theory and describe your previous research experience (if any).