Research Experiences for Undergraduates at Emory University
Number Theory
2013 Research Experiences for Undergraduates at Emory University
Number Theory
Dates: June 3, 2013- July 26, 2013
Math Building, Room E406
Instructors
- David Zureick-Brown, Assistant Professor.
- Ken Ono, Asa Griggs Candler Professor.
- Robert Lemke Oliver,NSF postdoc (Stanford)
- Larry Rolen,NSF Graduate Fellow, (Emory)
2013 Project areas
- Elliptic curves and Galois representations
- Mock modular and quantum modular forms
- Additive Number Theory
- Distribution of Primes
Participants
- Ping Ngai (Brian) Chung (MIT)
- Eric Larson* (Harvard): 2014 Frank and Brennie Morgan Prize Winner
- Hannah Larson* (S. Eugene High School): 2013 Davidson Fellow, 2024 Breakthrough Mirzakhani New Frontiers Prize
- Shiyu Li (UC Berkeley): 2014 Honorable Mention for Schafer Prize
- Akhil Mathew (Harvard)
- Sarah Peluse (U. Chicago): 2014 Schafer Prize Winner, 2022 Breakthrough Mirzakhani New Frontiers Prize
- Sarah Pitman (Emory U.)
- Jesse Silliman (U. Chicago)
- Geoffrey Smith (Yale): Goldwater Scholar
- Isabel Vogt (Harvard)
Note. Special participant.
Their results
- Ping Ngai (Brian) Chung and Shiyu Li, On the residue classes of pi(n) modulo t, Integers, 13(2013), A79.
- Ping Ngai (Brian) Chung and Shiyu Li, Bounded gaps between products of special primes, Mathematics, 2 (2014), pages 37-52.
- Hannah Larson and Geoffrey Smith, Congruence properties of Taylor coefficients of modular forms, International Journal of Number Theory, 10 (2014), pages 1501-1518.
- Sarah Peluse, Irreducible representations of SU(n) with prime power degree, Seminaire Lotharingien de Combinatoire 71 (2013/14), Art. B71d.
- Sarah Peluse, On zeros of Eichler integrals, Archiv der Mathematik, 102 (2014), pages 71-81.
- Sarah Pitman, 3F2-hypergeometric functions and supersingular elliptic curves, Involve, 8(2015), pages 481-490.
- Jesse Silliman and Isabel Vogt, Powers in Lucas sequences via Galois representations, Proceedings of the American Mathematical Society, 143 (2015), pages 1027-1041.