32 citations · 75 across the 15 of their papers we have counts for
16 papers
Quantum ergodicity in the Benjamini--Schramm limit for locally symmetric spaces
Farrell Brumley, Simon Marshall, Jasmin Matz +1
We prove that for almost all symmetric spaces and for any sequence of compact locally symmetric spaces which is uniformly discrete, has a uniform spectral gap, and conver…
Joint Linnik problems
Valentin Blomer, Farrell Brumley, Maksym Radiwiłł
We prove a conjecture of Michel--Venkatesh on joinings of distinct Linnik problems, in the setting of simultaneous quaternionic embeddings of imaginary quadratic fields having suff…
Concentration properties of theta lifts on orthogonal groups
Farrell Brumley, Simon Marshall
Let be integers with even. We prove the existence of Maass forms with large sup norms on anisotropic , by combining a counting argum…
The mixing conjecture under GRH
Valentin Blomer, Farrell Brumley, Ilya Khayutin
We prove the Mixing Conjecture of Michel--Venkatesh for the class group action on Heegner points of large discriminant on compact arithmetic surfaces attached to maximal orders in…
Conductor zeta function for the GL(2) universal family
Farrell Brumley, Didier Lesesvre, Djordje Milićević
We obtain a Weyl law with power savings for the universal families of cuspidal automorphic representations, ordered by analytic conductor, of over , as…
Quantum Ergodicity for compact quotients of in the Benjamini-Schramm limit
Farrell Brumley, Jasmin Matz
We study the limiting behavior of Maass forms on Benjamini-Schramm convergent sequences of compact quotients of , , whose spectral param…