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.
|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|