Order nine MMIK graphs
We show that there are exactly eight MMIK (minor minimal intrinsically knotted) graphs of order nine.
math.CO↗
arXiv subjects
Jody Ryker
Publications and source records attributed to Jody Ryker.
Torsion of Elliptic Curves over Quadratic Fields
By focusing on the family $E:y^2=x^3+a$, we present strategies for determining the structure of the torsion subgroup of the Mordell-Weil group of an elliptic curve, $E(K)$, over quadratic field $K$. Generalizations of the Nagell-Lutz theorem and Mazur's theorem to curves defined over quadratic fields allows us to determine the full torsion subgroup of $E(K)$ as one of at most three possibilities when $a$ is a square.
math.NT↗