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