3 papers
math.SP2026
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…
math.NT2026
Joint Linnik problems
Valentin Blomer, Farrell Brumley, Maksym RadiwiÅÅ
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…
math.NT2025
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…