University of Oxford



Coleman integration and integral points on hyperelliptic curves


We will discuss explicit computations of p-adic line integrals (Coleman integrals) on hyperelliptic curves and some applications. We will give examples of iterated Coleman integrals present in Kim’s nonabelian Chabauty program. Moreover, we will discuss recent applications of using these integrals to find integral points on hyperelliptic curves. We use this to give a Chabauty-like method for computing p-adic approximations to integral points on such curves when the Mordell–Weil rank of the Jacobian equals the genus. This is joint work with Amnon Besser and Steffen Müller.


The Catalan Mathematical Society invites participants to this first congress of a biannual series focusing on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community as a whole for their support to this congress.


Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583

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