Project B1: Theta lifts and equidistribution

Principal investigators
Prof. Dr. Claudia Alfes
Prof. Dr. Valentin Blomer
Investigators
Dr. Edgar Assing
Dr. Gabriele Bogo
Dr. Noam Kimmel
Rebekka Strathausen
Summary:
Project B1 will target finer equidistribution problems for Heegner points on modular surfaces and go beyond the widely-established theory. The strategy to achieve this is to settle a link between twisted Weyl sums and Fourier coefficients of automorphic forms by constructing new theta lifts.

Recent preprints:
25059 Valentin Blomer, Ashay Burungale, Philippe Michel, Jun-Hwi MinPDF
Generation of Hecke fields by squares of cyclotomic twists of modular L-values
Project: B1
25045 Edgar Assing, Yingkun Li, Tian Wang, Jiacheng XiaPDF
Isogenies of CM elliptic curves
Project: B1
25044 Edgar Assing, Radu TomaPDF
The orbit method in number theory through the sup-norm problem for GL(2)
Project: B1
25042 Edgar Assing, Subhajit JanaPDF
On the spectral aspect density hypothesis and application
Project: B1
25019 Paul KieferPDF
Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature (2,n)
Project: B1