1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.NT2015★ 1 cited
A criterion to rule out torsion groups for elliptic curves over number fields
Peter Bruin, Filip Najman
We present a criterion for proving that certain groups of the form do not occur as the torsion subgroup of any elliptic curve over…
math.NT2012
The growth of the rank of Abelian varieties upon extensions
Peter Bruin, Filip Najman
We study the growth of the rank of elliptic curves and, more generally, Abelian varieties upon extensions of number fields. First, we show that if is a finite Galois extensio…
math.NT2012★ 1 cited
Explicit bounds on canonical Green functions of modular curves
Peter Bruin
We prove explicit bounds on canonical Green functions of Riemann surfaces obtained as compactifications of quotients of the upper half-plane by Fuchsian groups.