Ernst Kani

Ernst Kani is a Professor in the Department of Mathematics and Statistics at Queen's University, Kingston, Ontario. His research focuses on Arithmetic Geometry, a synthesis of Number Theory and Algebraic Geometry, with applications to Public Key Cryptography. Key areas include Galois representations, modular elliptic curves, and Diophantine questions such as Fermat's Last Theorem.

• Education:
• Dr. rer. Nat. (University of Heidelberg, Germany)
• M.Sc. (University of Toronto)
• B.Sc. (University of Toronto)

Research emphasizes modular diagonal quotient surfaces, curves of genus 2 with elliptic differentials, Hurwitz schemes, and fundamental group representations. Collaborations include work with G. Frey and H. Völklein.