Office: N406 MSC
I am a second year graduate student at Emory University working under the supervision of Ken Ono. Starting next fall, I will be a postdoc at Universität zu Köln, Germany working under Kathrin Bringmann.
My research interests lie in number theory and more specifically modular forms, Maass forms, and quantum modular forms.
I completed my BA in Mathematics with Honors in 2011 at the University of Wisconsin-Madison.
My CV.Teaching: Math 111 Spring 2013 The schedule for the Maass form reading group led by Ken Ono can be found here.
1). Benford's Law for Coefficients of Modular Forms and Partition Functions, Proc. Amer. Math. Soc. 139 (2011), 1533-1541. arXiv:1009.0780v1 (with T. Anderson and R. Stoehr).
2). Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-Values, The Ramanujan Journal: Volume 27, Issue 2 (2012), Page 151-162. arXiv:1009.0308v1 (with N. Amersi, J. Beyerl, J. Brown and A.Proffer).
3). A Natural Generalization of the Congruent Number Problem, International Journal of Number Theory Volume No. 07, Issue No. 08 (2011).
4). Progress Towards Counting $D_5$ Quintic Fields, to appear in Involve, arXiv:1107.4111v3 (with E. Larson).
5). Upper Bounds for the Number of Number Fields with Alternating Galois Group. To appear in Proceedings of the AMS, arXiv:1107.1182v1 (with E. Larson).
6). Integrality Properties of the CM-Values of Certain Weak Maass Forms., to appear in Forum Math. (with E. Larson).
7). On Matrices Arising in the Finite Field Analogue of Euler's Integral Transform appeared in Mathematics, 2013, 1, pgs. 3-8. (with M. Griffin)
8). Integrality Properties of Symmetric Functions in Singular Moduli, submitted (with M. Griffin).
9). On the Construction of a Natural Vector-Valued Quantum Modular Form, recommended for publication in Archiv der Mathematik (with Robert Schneider).10). Ramanujan's Mock Theta Functions , Proceedings of the National Academy of Sciences, USA, to appear (with M. Griffin and K. Ono).
11). Generating Hilbert class field with weak Maass forms, in preparation (with M. Griffin and K. Ono).
12). Class Polynomials for a Distinguished Non-Holomorphic Modular Function , submitted with V. Dose, N. Green, M. Griffin, T. Mao, and J. Willis,
Benford's Law for Coefficients of Modular Forms and Partition Functions
Pullbacks of Siegel Eisenstein Series and Weighted Averages of Critical $L$-Values
A Natural Generalization of the Congruent Number Problem
Counting Number Fields by Discriminant and Point Counting on Varieties
Bounding the Denominators of CM Values of Certain Weak Maass Forms
Properties of Class Polynomials for Non-holomorphic Modular Functions
Ramanujan's Mock Theta Funcitons