J. S. Muller

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math.NT2026

Algorithms for hyperelliptic Mumford Curves $p$ -adic Uniformization, $p$ -adic integrals and $p$ -adic heights

Enis Kaya, Marc Masdeu, J. Steffen Müller +1

Mumford curves generalize the Tate uniformization of elliptic curves with split multiplicative reduction and provide p-adic analogues of the uniformization of Riemann surfaces. In…

math.NT2025

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Jennifer S. Balakrishnan, L. Alexander Betts, Daniel Rayor Hast +2

Thanks to work of Rouse, Sutherland, and Zureick-Brown, it is known exactly which subgroups of GL $_{2} (Z_{3})$ can occur as the image of the $3$ -adic Galois representation att…

math.NT2023

Coleman-Gross Heights and $p$ -adic Néron Functions on Jacobians of Genus $2$ Curves

Francesca Bianchi, Enis Kaya, J. Steffen Müller

We develop a theory of $p$ -adic Néron functions on abelian varieties, depending on various auxiliary choices, and show that the global $p$ -adic height functions constructed by Mazu…

Algorithms for hyperelliptic Mumford Curves p-adic Uniformization, p-adic integrals and p-adic heights

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Coleman-Gross Heights and p-adic Néron Functions on Jacobians of Genus 2 Curves

Algorithms for hyperelliptic Mumford Curves $p$ -adic Uniformization, $p$ -adic integrals and $p$ -adic heights

Coleman-Gross Heights and $p$ -adic Néron Functions on Jacobians of Genus $2$ Curves