Publications
- Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication (with Sean Ballentine, Aurore Guillevic, Elisa Lorenzo García, Chloe Martindale, Ben Smith, Jaap Top), to appear in the Springer AWM Series (2017), pp. 1—31. [arxiv]
- Computing L-series of geometrically hyperelliptic curves of genus three (with David Harvey and Andrew Sutherland), LMS Journal of Computation and Mathematics, vol. 19, issue A (2016), pp. 220—234. Proceedings of ANTS-XII. [Cambridge University Press] [arxiv]
- An optimal representation for the trace zero subgroup (with Elisa Gorla), Designs, Codes and Cryptography, vol. 83, no. 3 (2017), pp. 519—548. [Springer] [arxiv] [Springer SharedIt]
- Tame class field theory for global function fields (with Florian Heß), Journal of Number Theory, vol. 162 (2016), pp. 86—115. [Elsevier] [arxiv]
- Index calculus in the trace zero variety (with Elisa Gorla), Advances in Mathematics of Communications, vol. 9, no. 4 (2015), pp. 515—539. [American Institute of Mathematical Sciences] [arxiv]
- Point compression for the trace zero subgroup over a small degree extension field (with Elisa Gorla), Designs, Codes and Cryptography, vol. 75, no. 2 (2015), pp. 335—357. [Springer] [arxiv]
Preprints
- Towards a formula for denominators of class invariants in genus 3 (with Sorina Ionica, Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Adelina Mânzăţeanu, Christelle Vincent).
- Some experiments investigating a possible L(1/4) algorithm for the discrete logarithm problem in algebraic curves. [eprint]
Theses
- Trace zero varieties in cryptography: Optimal representation and index calculus, Ph.D. Thesis, Univerität Basel, 2014. [unibas] [pdf] [equations]
- Class field theory for global function fields and applications, Diplom (M.Sc.) Thesis, Technische Universität Berlin, 2009. (in German) [pdf]
- Provably secure cryptographic hash functions, Honours B.Sc. Thesis, University of New South Wales, 2006. [pdf]
Other