Soroosh Yazdani

Soroosh will be speaking tomorrow on log structures in algebraic geometry. These play a role in looking at the singular limits of elliptic curves.

We're following Jay Pottharst's notes, available at http://math.bu.edu/people/potthars/writings/log.str.pdf

Let $S$ be a finite collection of prime numbers. We say a number is an $S$-unit if it is a product of powers of primes in $S$. For instance $-3/8$ is an example of a $\{2,3\}$-unit. Many interesting Diophantine equations are reduced to solving...

`Modular curves are the parameter space of elliptic curves with certain torsion structure.' In this talk, I will explain what that sentence means, and how it is related to the usual definition of modular curves in terms of quotients of the complex...

In 1979 G. Belyi proved that given any smooth curve $C$ over any number field, there is map $\beta:C \rightarrow \mathbb{P}^1$ such that $\beta$ is unramified outside of three points. This is particularly striking since Belyi's theorem is not true...