Small representations of integers by integral quadratic form (Lenny Fukshansky, CMC)

Given an isotropic integral quadratic form which assumes a value t, we investigate the distribution of integer points at which this value is assumed. Building on the previous work about the distribution of small-height zeros of quadratic forms, we produce bounds on height of points outside of some algebraic sets in a quadratic space at which the form assumes the value t. Our bounds on height are explicit in terms of heights of the form, the space, the algebraic set and the value t. Joint work with W. K. Chan.

The Fall 2018 organizational meeting for the ANTC seminar will be held at noon in the same room, preceding the talk.