E-mail: aetropo (at) emory (dot) edu Office: N404, Math and Science Center

About Me

I am a fourth year graduate student at Emory University. I am pursuing my PhD in number theory, with a focus on arithmetic geometry; my advisor is David Zureick-Brown. I am interested in finding rational points on Jacobians, solutions to Diophantine equations, Galois representations and modular curves, and local-global principles. I am also the proud owner of a beautiful italian greyhound named Milo (middle name Frobenius, because we're inseparable).

A local-global principle for images of Galois representations, in preparation. pdf

On the ranks of the Jacobians of curves defined by Jacobi polynomials. Rocky Mountain J. Math., 44 no. 1 (2014), pp. 23 - 33. (Joint with J. Cullinan and E. Sell) pdf

Powers of the eta-function and Hecke operators. Int. J. Number Theory, 8 no. 3 (2012), pp. 599 - 611. (Joint with A. Carney and S. Pitman) pdf

Evaluations of cubic twisted Kloosterman sheaf sums. Int. J. Number Theory, 6 no. 6 (2010), pp. 1349-1365. (Joint with J. Booher and A. Hittson) pdf