Research Experiences for Undergraduates at Emory University
Number Theory: Number fields and modular forms
Participants
- Eva Belmont (Harvard)
- Alexander Carney (University of Michigan): 2012 Marshall Scholar
- Anastassia Etropolski (Bard)
- Eric Larson (Harvard): 2014 Frank and Brennie Morgan Prize Winner
- Holden Lee (MIT): 2013 Gates Scholar
- Soek Hyeong Lee (Stanford)
- Alexandra Musat (Cal Tech)
- Gyujin Oh (Stanford)
- Sarah Pitman (Emory University)
- Larry Rolen (University of Wisconsin)
- Sarah Trebat-Leder (Princeton)
Some pictures
- Group photo
- Group photo
- Sarah Trebat-Leder, Alexandra Musat, Eva Belmont, Holden Lee
- Anastassia Etropolski, Alex Carney, Sarah Pitman
- Larry Rolen and Eric Larson
- Eugene Oh and Sean Lee
Their results
- E. Belmont, H. Lee, A. Musat, and S. Trebat-Leder, l-adic properties of partition functions, Monatshefte fur Mathematik, 173 (2013), pages 219-234.
- A. Carney, A. Etropolski, S. Pitman, Powers of the eta-function and Hecke operators, International Journal of Number Theory, 8 (2012), pages 599-611.
- E. Larson and L. Rolen, Upper bounds for the number of number fields with alternating Galois group, Proceedings of the American Mathematical Society, 141 (2013), pages 499-503.
- E. Larson and L. Rolen, https://uva.theopenscholar.com/files/ken-ono/files/reu2011larson_rolen2.pdf, 5 (2012), pages 91-97.
- E. Larson and L. Rolen, Integrality properties of the CM values of certain weak Maass forms, Forum Mathematicum, 27 (2015), pages 961-972.
- S. H. Lee and G. Oh, On the distribution of cyclic number fields of prime degree, International Journal of Number Theory, 8 (2012), pages 1463-1475.