150 citations · 663 across the 47 of their papers we have counts for
57 papers
Bilinear forms with Kloosterman sums via quadratic characters
Valentin Blomer, Alexandru Pascadi
We prove new bounds for bilinear forms with Kloosterman sums, valid for all moduli c. In the critical range where the summation length is the square root of the modulus, the saving…
A GL(3) converse theorem via a "beyond endoscopy" approach
Valentin Blomer, Wing Hong Leung
We give a new proof of the converse theorem for Maass forms on using a technique that is inspired by Langlands' philosophy of "beyond endoscopy", thereby implementing…
The unipotent mixing conjecture
Valentin Blomer, Philippe Michel
We show that shifted pairs of discrete or continuous low-lying horocycles equidistribute in the product space of two modular curves.
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…
Correlations of values of random diagonal forms
Valentin Blomer, Junxian Li
We study the value distribution of diagonal forms in k variables and degree d with random real coefficients and positive integer variables, normalized so that mean spacing is one.…
The density conjecture for principal congruence subgroups
Edgar Assing, Valentin Blomer
We prove Sarnak's density conjecture for the principal congruence subgroup of SL_n(Z) of squarefree level and discuss various arithmetic applications. The ingredients include new b…