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Uniformity in Polynomial Dynamics: Canonical Heights, Primitive Prime Divisors, and Galois Representations

Description:

In this thesis, we study arithmetic phenomena exhibited by polynomial dynamical systems on the projective line. Specifically, given a number field $K$, we are interested in the arithmetic of orbits of points $\alpha\in K$ under polynomials $\phi\in K[z]$. Given such a polynomial $\phi$ of degree $d\ge2$, we prove a lower...

Keyword:

Mathematics

Subject:

Mathematics

Creator:

Nicole Romain Looper

Owner:

Scholarly Digital Publishing

Date Uploaded:

04/09/2019

Date Modified:

04/09/2019

Date Created:

2018-01-01

Resource Type:

Dissertation