3 papers
math.NT2024
A Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…
math.AG2024
The singular support of an -adic sheaf
Owen Barrett
We define the singular support of an -adic sheaf on a smooth variety over any field. To do this, we combine Beilinson's construction of the singular support for torsion étal…
math.NT2024
A Survey of a Random Matrix Model for a Family of Cusp Forms
Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4
The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…