3 papers
math.NT2020
The Chabauty-Kim Method for Relative Completions
Noam Kantor
In this thesis we develop a Chabauty-Kim theory for the relative completion of motivic fundamental groups, including Selmer stacks and moduli spaces of admissible torsors for the r…
math.NT2017
Rank-Favorable Bounds for Rational Points on Superelliptic Curves of Small Rank
Noam Kantor
Let be a curve of genus at least three defined over a number field, and let be the rank of the rational points of its Jacobian. Under mild hypotheses on , recent results…
math.NT2015
The density of primes dividing a particular non-linear recurrence sequence
Alexi Block Gorman, Tyler Genao, Heesu Hwang +3
Define the sequence by , and $$b_n=\begin{cases} \frac{b_{n-1}b_{n-3}-b_{n-2}^2}{b_{n-4}}&\textrm{if}~ n\not\equiv 0\pmod 3, \frac{b_{n-1}b_{n-3…