8 citations · 14 across the 6 of their papers we have counts for
11 papers
On the gonality, treewidth, and orientable genus of a graph
James Stankewicz
We examine connections between the gonality, treewidth, and orientable genus of a graph. Especially, we find that hyperelliptic graphs in the sense of Baker and Norine are planar.…
Hasse Principle Violations for Atkin-Lehner Twists of Shimura Curves
Pete L. Clark, James Stankewicz
Let be the discriminant of an indefinite rational quaternion algebra. We show that there are infinitely many imaginary quadratic fields such that the twist…
On the non-commutative endomorphism rings of abelian surfaces
James Stankewicz
A conjecture of Coleman implies that only finitely many quaternion algebras over the rational numbers can be the endomorphism -algebras of abelian surfaces over the com…
Torsion Points on CM Elliptic Curves Over Real Number Fields
Abbey Bourdon, Pete L. Clark, James Stankewicz
We study torsion subgroups of elliptic curves with complex multiplication (CM) defined over number fields which admit a real embedding. We give a complete classification of the gro…
Shimura curves and explicit descent obstructions via level structure
James Stankewicz
We give large families of Shimura curves defined by congruence conditions, all of whose twists lack -adic points for some . For each such curve we give analytically large fam…
Computation on Elliptic Curves with Complex Multiplication
Pete L. Clark, Patrick Corn, Alex Rice +1
We give the complete list of possible torsion subgroups of elliptic curves with complex multiplication over number fields of degree 1-13. Additionally we describe the algorithm use…