Cryptology Fall 2017 Chloe Martindale TU/e September 28, 2017 These notes are based on notes by Tanja Lange and Ruben Niederhagen. Following on from last weeks lecture on finite fields, we now see how to use

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Isogeny graphs, modular polynomials, and applications Proefschrift ter verkrijging van de graad van Doctor aan de Universiteit Leiden

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Chapter 3 Isogenies for Point Counting on Genus Two Hyperelliptic Curves with Maximal Real Multiplication Sean Ballentine, Aurore Guillevic, Elisa Lorenzo García, Chloe Martindale,

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Isogeny Graphs in Genus 2 Chloe Martindale (Universiteit Leiden and Universit´e de Bordeaux) Supervised by Marco Streng (Leiden) and Damien Robert (Bordeaux) March 5, 2015 Abstract Traditionally, an isogeny graph is a g

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The theory of canonical lifts for abelian varieties (draft version) Chloe Martindale February 10, 2016 These notes are from a talk at Leiden University, of which the aim was to understand Drinfeld’s proof of the Serre-

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Theosophy: Origin of the New Age _http://www.ewtn.com/library/newage/theosop1.txt_, _http://www.ewtn.com/library/NEWAGE/THEOSOP2.TXT_ By Fr. C. C. Martindale SJ, 1996

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Cryptology Fall 2017 Chloe Martindale TU/e October 12, 2017 These notes are based on notes by Tanja Lange. Recall from last time that we defined an Edwards curve to be a curve of the form

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An introduction to isogeny-based crypto Chloe Martindale Technische Universiteit Eindhoven PQCrypto Summer SchoolJuly 3, 2017

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Isogenies, Polarisations and Real Multiplication — Journées C2 — La Londe-Les-Maures Gaëtan Bisson, Romain Cosset, Alina Dudeanu, Sorina Ionica, Dimitar Jetchev, David Lubicz, Chloe Martindale, Enea Mili

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• Abstract algebra
• Algebra
• Algebraic curves
• Analytic number theory
• Elliptic curves
• Group theory
• Algebraic surfaces
• Isogeny
• Abelian variety
• Supersingular elliptic curve
• Localization of a category
• Supersingular isogeny key exchange

Technology Transfer & Commercialization TECHNOLOGY TRANSFER & COMMERCIALIZATION Director Tommy Martindale

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