Assumptions of various hard problems are essential in modern cryptography. There is a group of assumptions known as the “knowledge assumptions.” They assume that in order for the…

In my work in number theory, I explore patterns in numbers, specifically counting the equations with integer coefficients with a given discriminant. I am studying the Ohno-Nakagawa theorem, a…

Security is too important to leave to chance. Security by design is often touted as the solution, but when your system is broken before you design it—something has gone very, very wrong.Secure…