Juliana Belding

activity

20072025

most citedComputing Hilbert Class Polynomials

7 citations · 11 across the 4 of their papers we have counts for

collaborators

4 papers

math.HO2025

A case for teaching about parameters in calculus courses

Juliana Belding, Keaton Quinn

Working with letters that represent unknown constants, i.e., parameters, has been historically challenging for students. This is an important skill for their success in many future…

math.NT2009★ 4 cited

Pairings on hyperelliptic curves

Jennifer Balakrishnan, Juliana Belding, Sarah Chisholm +3

We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the research on constructing hyperelliptic curves suitable for pairing-based cryptograph…

math.NT2008★ 7 cited

Computing Hilbert Class Polynomials

Juliana Belding, Reinier Bröker, Andreas Enge +1

We present and analyze two algorithms for computing the Hilbert class polynomial $H_{D}$ . The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D <…

math.NT2007

A Weil pairing on the $p$ -torsion of ordinary elliptic curves over the dual numbers of $K$

Juliana V. Belding

For an elliptic curve $E$ over any field $K$ , the Weil pairing $e_{n}$ is a bilinear map on $n$ -torsion. For $K$ of characteristic $p > 0$ , the map $e_{n}$ is degenerate if and only if $…

A case for teaching about parameters in calculus courses

Pairings on hyperelliptic curves

Computing Hilbert Class Polynomials

A Weil pairing on the p-torsion of ordinary elliptic curves over the dual numbers of K

A Weil pairing on the $p$ -torsion of ordinary elliptic curves over the dual numbers of $K$