85 citations · 307 across the 23 of their papers we have counts for
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math.NT2003★ 1 cited
On finiteness conjectures for endomorphism algebras of abelian surfaces
Nils Bruin, E. Victor Flynn, Josep Gonzalez +1
It is conjectured that there exist finitely many isomorphism classes of simple endomorphism algebras of abelian varieties of GL_2-type over \Q of bounded dimension. We explore this…
math.NT2003★ 19 cited
The primitive solutions to x^3+y^9=z^2
Nils Bruin
We determine the rational integers x,y,z such that x^3+y^9=z^2 and gcd(x,y,z)=1. First we determine a finite set of curves of genus 10 such that any primitive solution to x^3+y^9=z…