Niclas Technau: Counting Rational Points Near Manifolds

Abstract:

 Choose your favourite, compact manifold \(M\). How many rational points, with denominator of bounded size, are near \(M\)? We report on joint work with Damaris Schindler and Rajula Srivastava addressing this question. Our new method reveals an intriguing interplay between number theory, harmonic analysis, and homogeneous dynamics.