2017 Research Experiences for Undergraduates at Emory University
Number Theory
Dates: June 5 - July 14, 2017.
Math Building, Rooms E406 and E408
Instructors
- Hannah Larson, (2017 Schafer Prize Winner, Harvard University)
- John Duncan, Assistant Professor.
- Jackson Morrow, Emory PhD Student.
- Jesse Thorner, NSF Postdoc, Stanford University.
- David Zureick-Brown, Assistant Professor.
- Ken Ono, Asa Griggs Candler Professor.
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 5 Morgan Prize Winners and 5 Schafer Prize winners. The REU alums have won numerous other honors including Marshall Scholarships, NSF Graduate Fellowships (over 30), etc...We are organizing a summer Research Experience in Mathematics for the summer of 2017 on the beautiful campus of Emory University (adjacent to the Centers for Disease Control and Prevention (CDC)). We seek to fill 10-14 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 $5000 stipend and also free accomodations.
2017 Project areas
- Elliptic curves and Galois representations
- Mock modular and quantum modular forms
- Additive Number Theory
- Distribution of Primes
- Moonshine
2017 Participants
- Ryan Alweiss
- Tessa Cotron
- Dean Cureton
- Sam DeHority
- Sanath Devalapurkar
- Xavier Gonzalez (2017 Rhodes Scholar)
- John Halliday
- Sammy Luo
- Anya Michaelsen
- Emily Stamm
- Neekon Vafa
- Roger Van Peski
- Sameera Vemulapalli (2017 Alice T.Schafer Runner Up)
- Danielle Wang (2019 Alice T. Schafer Runner Up)
- Catherine Yeo
- Weitao Zhu
Their results
- Ryan Alweiss and Sammy Luo, Bounded gaps between primes in short intervals, Research in Number Theory, 4 (2018), Art. 15.
- Tessa Cotron, Anya Michaelsen, Emily Stamm, and Weitao Zhu, Lacunary eta-quotients modulo powers of primes, Ramanujan Journal (2020), https://doi.org/10.1007/s11139-020-00257-y.
- Dean Cureton and Catherine Yeo, Polynomials that behave like the Riemann zeta-function, High School J. Math., January 2018.
- Sam DeHority, Xavier Gonzalez, Neekon Vafa, and Roger Van Peski, Moonshine for all finite groups, Research in the Mathematical Sciences, 5 (2018), 14.
- Sanath Devalapurkar and John Halliday, The Dieudonne modules and Ekedahl-Oort types of Jacobians of hyperelliptic curves in odd characteristic, submitted.
- Sameera Vemulapalli and Danielle Wang, Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank, submitted.