Research interests: analytic and algebraic number theory, modular forms, Maass forms, (mock) Jacobi forms, quantum modular forms, combinatorics
Publications:
- Quantum modular forms and singular combinatorial series with repeated roots of unity (with A. Folsom, M-J Jang, and H. Swisher), submitted.
- Quantum modular forms and singular combinatorial series with distinct roots of unity (with A. Folsom, M-J Jang, and H. Swisher), Springer Research Directions in Number Theory: Women in Numbers IV, accepted for publication.
- Counting arcs in the projective plane via Glynn's algorithm (with N. Kaplan, R. Lawrence, L. Peilen, and M. Weinreich), submitted, 2016.
- On the asymptotics of partial theta functions, Alladi60 Proceedings, to appear.
- Quantum modular forms, mock modular forms, and partial theta functions, Ph.D. thesis, 2015. (PDF available on request.)
- Bilateral series and Ramanujan's radial limits (with J. Bajpai, J. Liang, D. Ma, and J. Ricci), Proc. Amer. Math. Soc, accepted for publication, 2013.
- Graded dimensions of principal subspaces and modular Andrews-Gordon-type series (with K. Bringmann, C. Calinescu, and A. Folsom), Commun. Contemp. Math. 16 (2014), no. 4.
- Mock modular forms and singular combinatorial series (with A. Folsom), Acta. Arith. 159.3 (2013), 257-297.
- An algorithm for computing word length in Thompson's group F, Honors thesis, Bowdoin College, 2009. (PDF available on request.)
Talks:
- Alladi60, University of Florida, Gainesville, FL, March 2016
- Bowdoin College, Undergraduate Math Lunch and Faculty Seminar, October 2014.
- Automorphic Forms Workshop, Moab, Utah, May 2014.
- Wesleyan University, Graduate Student Seminar, May 2014.
- Yale University, Junior Colloquium (pre-talk for Amanda Folsom), April 2014.
- TORA IV (plenary graduate student speaker), University of North Texas, March 2013.
- Yale University, Informal Number Theory Seminar, November 2012.
- Yale University, Graduate Student Seminar, October 2012.
- AMS Fall Western Sectional Meeting, University of Arizona, Tucson, October 2012.
- Women in Mathematics in New England, Smith College, September 2012.
Posters: