I am interested in the applications of algebraic number theory and arithmetic geometry to isogeny-based cryptography. To date, my research is a mix of explorations of the mathematics underpinning proposed protocols and analysis of their concrete security.
Publications
Sesquilinear Pairings for Oriented Isogenies. Submitted
Algorithms for solving the isogeny problem using orientations. Joint with Maria Corte-Real Santos, Arthur Herledan Le Merdy, Michael Meyer, Travis Morrison, and Eli Orvis. To appear in IACR Communications in Cryptology, Volume 3, Issue 3.
Extending Class Group Action Attacks via Sesquilinear Pairings, Advances in Cryptology – ASIACRYPT 2024. Joint with Katherine E. Stange.