Number Theory Seminar: Alina Ostafe (UNSW)

Title: On some matrix counting problems

Abstract: We consider some questions of arithmetic statistics for matrices of a given rank or fixed determinant or characteristic polynomial, whose entries are parametrised by arbitrary polynomials over the integers. In particular, some of our results improve a recent bound of V. Blomer and J. Li (2022) for counting matrices of given rank that are parametrised by monomials.

Joint works with Philipp Habegger, Ali Mohammadi and Igor Shparlinski.

Spiegelgasse 5, Seminarraum 05.002

Veranstaltung übernehmen als iCal