1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2022
The Maximal Growth Of Toric Periods and Oscillatory Integrals for Maximal Flat Submanifolds
Bart Michels
We prove a new omega result for toric periods of Hecke-Maass forms on compact locally symmetric spaces associated to forms of PGL(3). This is motivated by conjectures on the maxima…
math.DG2022
The Geometry of Maximal Flat Submanifolds of Symmetric Spaces
Bart Michels
Motivated by spectral asymptotics for orbital integrals in a relative trace formula, we generalize a number of geometric properties of geodesics in the hyperbolic plane, to maximal…
math.NT2020★ 1 cited
Extreme values of geodesic periods on arithmetic hyperbolic surfaces
Bart Michels
Given a closed geodesic on a compact arithmetic hyperbolic surface, we show the existence of a sequence of Laplacian eigenfunctions whose integrals along the geodesic exhibit nontr…