M. Stoll

activity

19992025

most citedThe Cassels-Tate pairing on polarized abelian varieties

179 citations · 759 across the 49 of their papers we have counts for

collaborators

Showing 2017 · math.NTShow all

4 papers · 2 filters

math.NT2017

Quadratic rational functions with a rational periodic critical point of period 3

Solomon Vishkautsan, Michael Stoll

We provide a complete classification of possible graphs of rational preperiodic points of quadratic rational functions defined over the rationals with a rational periodic critical…

math.NT2017★ 17 cited

Diagonal genus 5 curves, elliptic curves over $Q (t)$ , and rational diophantine quintuples

Michael Stoll

The problem of finding all possible extensions of a given rational diophantine quadruple to a rational diophantine quintuple is equivalent to the determination of the set of ration…

math.NT2017★ 21 cited

Torsion points on elliptic curves over number fields of small degree

Maarten Derickx, Sheldon Kamienny, William Stein +1

We determine the set $S (d)$ of possible prime orders of $K$ -rational points on elliptic curves over number fields $K$ of degree $d$ , for $d = 4$ , $5$ , $6$ , and $7$ .

math.NT2017★ 2 cited

The generalized Fermat equation with exponents 2, 3, n

Nuno Freitas, Bartosz Naskrecki, Michael Stoll

We study the Generalized Fermat Equation $x^{2} + y^{3} = z^{p}$ , to be solved in coprime integers, where $p \geq 7$ is prime. Using modularity and level lowering techniques, the problem…

Quadratic rational functions with a rational periodic critical point of period 3

Diagonal genus 5 curves, elliptic curves over Q(t), and rational diophantine quintuples

Torsion points on elliptic curves over number fields of small degree

The generalized Fermat equation with exponents 2, 3, n

Diagonal genus 5 curves, elliptic curves over $Q (t)$ , and rational diophantine quintuples