3 citations · 4 across the 2 of their papers we have counts for
4 papers
Horizontal Distribution Relations for Special Cycles on Unitary Shimura Varieties: Split Case
Reda Boumasmoud, Ernest Hunter Brooks, Dimitar Jetchev
We study the local behavior of special cycles on Shimura varieties for in the setting of the Gan-Gross-Prasad conjectures at primes o…
Isogeny graphs of ordinary abelian varieties
Ernest Hunter Brooks, Dimitar Jetchev, Benjamin Wesolowski
Fix a prime number . Graphs of isogenies of degree a power of are well-understood for elliptic curves, but not for higher-dimensional abelian varieties. We study the c…
Counting Automorphic Forms on Norm One Tori
Ernest Hunter Brooks, Ian Petrow
We give an asymptotic formula for the number of automorphic forms on the non-split norm one torus associated with an imaginary quadratic extension of , ordered by a…
Vertical Distribution Relations For Special Cycles on Unitary Shimura Varieties
Reda Boumasmoud, Ernest Hunter Brooks, Dimitar Jetchev
We consider cycles on a 3-dimensional Shimura varieties attached to a unitary group, defined over extensions of a CM field , which appear in the context of the conjectures of Ga…