14 citations · 28 across the 8 of their papers we have counts for
8 papers
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…
Theta functions, fourth moments of eigenforms, and the sup-norm problem II
Ilya Khayutin, Paul D. Nelson, Raphael S. Steiner
For an -normalized holomorphic newform of weight on a hyperbolic surface of volume attached to an Eichler order of squarefree level in an indefinite quaternion alg…
Theta functions, fourth moments of eigenforms, and the sup-norm problem I
Ilya Khayutin, Raphael S. Steiner
We give sharp point-wise bounds in the weight-aspect on fourth moments of modular forms on arithmetic hyperbolic surfaces associated to Eichler orders. Therefore we strengthen a re…
Non-vanishing of Class Group L-functions for Number Fields with a Small Regulator
Ilya Khayutin
Let be a number field of degree . We show that if then the fraction of class group characters for whic…
Equidistribution on Kuga-Sato Varieties of Torsion Points on CM Elliptic Curves
Ilya Khayutin
A connected Kuga-Sato variety parameterizes tuples of points on elliptic curves (with level structure). A special point of is a tuple of torsion p…
Joint Equidistribution of CM Points
Ilya Khayutin
We prove the mixing conjecture of Michel and Venkatesh for toral packets with negative fundamental discriminants and split at two fixed primes; assuming all splitting fields have n…
Large Deviations and Effective Equidistribution
Ilya Khayutin
We study large deviations for measurable averaging operators on state spaces of dynamical systems. Our main motivation is the Hecke operators on the modular curve Y_0(p^n) and thei…
Arithmetic of Double Torus Quotients and the Distribution of Periodic Torus Orbits
Ilya Khayutin
We describe new arithmetic invariants for pairs of torus orbits on groups isogenous to an inner form of over a number field. These invariants are constructed by st…