11 citations · 18 across the 13 of their papers we have counts for
4 papers · 2 filters
Rational values of transcendental functions and arithmetic dynamics
Gareth Boxall, Gareth Jones, Harry Schmidt
We count algebraic points of bounded height and degree on the graphs of certain functions analytic on the unit disk, obtaining a bound which is polynomial in the degree and in the…
Unlikely intersections in semi-abelian surfaces
Daniel Bertrand, Harry Schmidt
We consider a family, depending on a parameter, of multiplicative extensions of an elliptic curve with complex multiplications. They form a 3-dimensional variety which admits a…
Counting rational points and lower bounds for Galois orbits
Harry Schmidt
In this article we present a new method to obtain polynomial lower bounds for Galois orbits of torsion points of one dimensional group varieties.
A Manin-Mumford theorem for the maximal compact subgroup of a universal vectorial extension of a product of elliptic curves
Gareth Jones, Harry Schmidt
We study the intersection of an algebraic variety with the maximal compact subgroup of a universal vectorial extension of a product of elliptic curves. For this intersection we sho…