Mathematics & Computer Science
Dr. Daniel File
Visiting Assistant Professor of Mathematics
Ph.D, B.A., The Ohio State University
Dan received his PH.D from Ohio State in 2010 and was a visiting assistant professor at University of Iowa until coming to Muhlenberg in 2013.
Dan’s research is in number theory. Specifically, he is interested in modular forms, automorphic representation theory, and L-functions. Modular forms are functions that encode number theoretic information in their Fourier coefficients. Representation theory is similar to linear algebra, and it can be used to understand modular forms.
1. (with Ramin Takloo-Bighash) A remark on the failure of multiplicity one for GSp(4). Manuscripta Math. 140 (2013), no. 1-2, 263--272.
2. On the degree five L-function for GSp(4). Trans. Amer. Math. Soc. 365 (2013), no. 12, 6471--6497.
3. (with K. Martin and A. Pitale) Test vectors and central L-values for GL(2). Preprint. http://arxiv.org/abs/1310.1765
Dan enjoys rock climbing and bouldering. He’s climbed in the Red River Gorge in Kentucky, the New River Gorge in West Virginia, and in Boulder, Colorado. Dan also enjoys running, cooking, and traveling.