Abelian Surfaces and Isogeny-based Cryptography

Editors: Tony Shaska, Shaul Zemel

Contents:

1. 1. 1. Preface
         Tony Shaska, Shaul Zemel

      2. Abelian Varieties with Quaternion Multiplication
         Ron Donagi. Ron Livne

      3. Kummer surfaces, Isogenies, and Theta functions
         Adrian Clingher, Andreas Malmendier, Tony Shaska

      4. Supersingular Elliptic Curves, Quaternion Algebras, and Applications to Cryptography
         Elan Goren, Jonathan Love

      5. Rational Points and Zeta Functions on Humbert Surfaces with Square Discriminant
         Jorge Mello, Sajad Salami, Elira Shaska, Tony Shaska

      6. Division Polynomials in Mumford Coordinates
         Julia Bernatska