Variations of the Delta Symbol Method

The delta symbol method, introduced by Duke, Friedlander, and Iwaniec, has proven to be a powerful tool in analytic number theory. In this talk, we will discuss some variations of the method and their applications in additive problems, based on joint works with Valentin Blomer, Simon Rydin Myerson, and Pankaj Vishe. We will also discuss some possible directions for future work.