Professor Garthwaite also chairs the Honors Council.

### Educational Background

- Ph.D. in Mathematics, University of Wisconsin
- M.A. in Mathematics, University of Wisconsin
- B.S. in Mathematics, Pennsylvania State University Schreyer's Honors College

### Research Interests

- I study Additive Number Theory, which means that I study numerical

patterns and special functions that arise in other areas of mathematics and science. My focus

is automorphic forms, which are functions with interesting symmetry properties, and I use

methods from combinatorics and analysis. Particular interests include:- Modular and mock modular forms
- Partitions
- Hypergeometric series

### Teaching Interests

- I enjoy teaching a variety of introductory and special topics courses. My particular area of emphasis is number theory, which has applications to cryptography. In 2010 and 2012 I taught a Foundation Seminar entitled \Visual and Mathematical Patterns" looking at the interplay between mathematics and art.

### Selected Publications

*Zeros of weakly holomorphic modular forms of level 2 and 3*, with Paul Jenkins (Brigham Young Univ.), Math. Res. Lett., to appear.

*Newton polygons for a variant of the Kloosterman family*, with Rebecca Bellovin (Stanford), Ekin Ozman (UT-Austin), Rachel Pries (U. Colorado), Cassandra Williams (U. Colorado), and Hui June Zhu (SUNY), AMS/CRM Contemporary Mathematics Vol. 606: Women in Numbers 2: Research Directions in Number Theory, 2013, pp. 47-63.

*Quadratic AGM and p-adic Limits Arising from Modular Forms*, with Matthew Boy-lan (Univ. S. Carolina), Bull. Lond. Math. Soc. (2010) 527-537.

*Zeros of some level 2 Eisenstein series*, with Ling Long (Iowa State Univ.), Holly Swisher (Oregon State Univ.), and Stephanie Treneer (Western Washington Univ.), Proc. Amer. Math. Soc. 138 (2010) 467-480.

*p-adic properties of Maass forms arising from theta series*, with David Penniston (Furman Univ.), Mathematical Research Letters. 15 (2008) no. 3, 459-470.

*The coefficients of the w(q) mock theta function*, Int. J. Number Theory 4 (2008), no. 6, 1027-1042.

*Convolution congruences for the partition function*, Proc. Amer. Math. Soc. 135 (2007) no. 1, 13-20.