## Average 2 torsion in the class group of monogenised fields by Artane Siad

In this talk, we prove an upper bound on the average number of 2-torsion elements in the class group of monogenised fields of any degree n >= 3, and, conditional on a widely expected tail estimate, compute this average exactly. As an application, we show that there are infinitely many number fields with odd class number in any even degree and signature.