CAIMS Prize Award

Prize Award year: 
2005
Prize Winner: 
citation: 

Department of Mathematics and Statistics, McGill University

Supervisors:  H. Darmon and C. Crépeau

Thesis title:  Generalized Jacobians in Cryptography

Dr. Déchène wrote her thesis, Generalized Jacobians in Cryptography, at McGill University where she had two supervisors: Henri Darmon and Claude Crépeau. Her thesis is a deep and broad application of algebraic groups over finite fields.

She applied these methods to a study of the discrete logarithm problem (DLP), which provides the mathematical underpinnings of public-key cryptosystems.

Dr. Déchène developed the novel unification of all common DLP-based cryptosystems using generalized Jacobians. She was also able to introduce a new public-key cryptosystem based on these ideas.

Isabelle's thesis was not only a mathematical tour de force with significant practical applications, it was also exceptionally well written.