Benedict Gross

Although the zeta function $\zeta(s)$ is often named after Riemann, it was Euler who discovered many of its remarkable properties. After making his name on the evaluation of $\zeta(2)$, Euler was able to obtain similar formulas at all positive even...

After quadratic equations in two variables come cubic equations, or elliptic curves. The set of rational points on an elliptic curve has the structure of a finitely generated abelian group. I will recall the basic theory of elliptic curves, then...