Algebraic curves and polynomial systems form a cornerstone of modern computational and theoretical mathematics. These structures are defined by polynomial equations and exhibit rich geometric and ...

In this manuscript, we introduce a method to measure entanglement of curves in 3-space that extends the notion of knot and link polynomials to open curves. We define the bracket polynomial of curves ...

In this paper, we compute ℓ-isogenies between abelian varieties over a field of characteristic different from 2 in polynomial time in ℓ, when ℓ is an odd prime which is coprime to the characteristic.