Parametrization of rings of finite rank - a geometric approach and their use in counting number fields

Gaurav Patil

We describe parametrizations of rings that generalize the notions of monogenic rings and binary rings. We use these parametrizations to give better lower bounds on the number of number fields of degree n and bounded discriminant.

https://mathtube.org/lecture/video/parametrization-rings-finite-rank-geometric-approach-and-their-use-counting-number

Mathtube- UCalgary Algebra and Number Theory Seminar