Severin Schraven

Powers of Vandermonde determinants serve as model wave functions for the fractional quantum Hall effect. In this talk I will explain how one can realize the coefficients in the monomial basis as expectation values of operator products and how this...

In this talk I will explain how to obtain a local to global principle for expected values over free ℤ-modules of finite rank. We use the same philosophy as Ekedhal’s Sieve for densities, later extended and improved by Poonen and Stoll in their local...

Counting the number of eigenvalues of Schrödinger operators is a crucial task in quantum mechanics. The typical heuristic from physics is that to leading order this should be given by the phase space volume. Unfortunately, this can already fail for...