Video Lectures

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We will discuss an inductive approach to determining the asymptotic number of G-extensions of a number field with bounded discriminant, and outline the proof of Malle's conjecture in numerous new cases. This talk will include discussions of several...

We prove ''reasonable'' quantitative bounds for sets in ℤ2

avoiding the polynomial corner configuration (x,y),(x+P(z),y),(x,y+P(z)), where P is any fixed integer-coefficient polynomial with an integer root of multiplicity 1. This simultaneously...