Surfaces Associated to Zeros of Automorphic L-functions

Assuming the Riemann Hypothesis, Montgomery established results concerning pair correlation of zeros of the Riemann zeta function.
Rudnick and Sarnak extended these results to automorphic L-functions and all level correlations. We show that automorphic L-functions
exhibit additional geometric structures related to the correlation of their zeros. This is joint work with Cruz Castillo and Alexandru Zaharescu.