Research Experiences for Undergraduates at Emory University
Number Theory
Instructors
- David Zureick-Brown, Assistant Professor.
- Ken Ono, Asa Griggs Candler Professor.
- Robert Lemke Oliver, Emory PhD student.
Description of the 2012 project areas.
Participants
- Jennifer Bryson (Texas A&M University)
- David Corwin (Princeton University)
- Tony Feng (Harvard University)
- Zane Kun Li (Princeton University)
- Keenan Monks (Harvard University)
- Sarah Peluse (University of Chicago): 2014 Schafer Prize Winner
- Sarah Pitman (Emory University)
- Sarah Trebat-Leder (Princeton University)
- Lynnelle Ye (Stanford University)
Their results
- J. Bryson, K. Ono, S. Pitman, R. C. Rhoades, Unimodal sequences and quantum and mock modular forms, Proc. Natl. Acad. Sci. USA, 109 No. 40 (2012), pages 16063-16067.
- D. Corwin, T. Feng, Z. Li, and S. Trebat-Leder, Elliptic curves with full 2-torsion and maximal adelic Galois representations, Math. Comp., 83 (2014), pages 2925-2951.
- K. Monks, S. Peluse, L. Ye, Strings of special primes in arithmetic progressions, Arkiv Math.,101 (2013), pages 219-234.
- K. Monks, S. Peluse, L. Ye, Congruence properties of Borcherds product exponents, Int. J. Numb. Th., 9 (2013), pages 1563-1578.
- K. Monks and L. Ye, Congruences of concave composition functions, submitted for publication.
- S. Peluse, An infinite family of lacunary series, Ramanujan J., accepted for publication.