OIERPOffice of Institutional Effectiveness, Research, and Planning
Department: Mathematics and Statistics
Office: NETH 221
Specialties: Transcendental Number Theory, Drinfeld Modules, and t-motives
I study algebraic independence and transcendence question for special values of zeta functions, multiple zeta functions, and L-functions in function fields. I use techniques coming from Drinfeld modules and t-motives to approach these questions. A Drinfeld module is a function field analogue of an elliptic curve and provides a geometric setting for studying these special values. I am also interested in applications of classical elliptic curves to cryptography settings – particularly quantum computer-resistant cryptography schemes, like EC isogeny-based cryptography.