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Isogeny-based Cryptography Study Group

During Autumn Term 2022, the number theory group run a study group on Isogeny-based Cryptography.

We followed the isogeny school organized by Chloe Martindale and Christophe Petit in 2020 (link). For more details about the specific content contact Diana Mocanu. Special thanks to Robin Visser for vital technical support and amazing conclusive talk!

When and where: Fridays from 1-2 pm in B3.03.

Topic References Speaker Date
Introduction and plan for the study group Isogeny School 2022 Diana Mocanu (slides) 7th October
Elliptic Curves over Finite Fields Silverman Chapter V, Panny's notes Alexandros Groutides 14th October
Class Group Ideals Biasse's course Kenji Terao 21st October
SIDH and CSIDH Lange's course Maryam Nowroozi 28th October
Quaternion Algebras (and Eichler Orders) Amoros' lectures Arshay Sheth 4th November
KLPT Original paper, Kohel's notes James Rawson 11th November
Torsion Points attacks on SIDH Petit's paper Katerina Santicola 18th November
An Efficient Key Recovery Attack on SIDH Castrik and Decru's paper Muhammad Manji 25th November
Hyperelliptic Curves and their Jacobians Robin's notes Alvaro Gonzalez Hernandez 2nd December
Genus 2 Isogeny Cryptography Flynn and Ti's paper Robin Visser (slides) 9th December