Arithmetic geometry of elliptic curves combines algebraic geometry and number theory to investigate cubic curves of genus one endowed with a distinguished rational point. Such curves admit a group law ...
How can you figure out which points lie on a certain curve? And how many possible curves do you count by a given number of points? These are the kinds of questions Pim Spelier of the Mathematical ...
A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology. But while the work has generated a lot of excitement among pure ...
Four researchers have recently come out with a model that upends the conventional wisdom in their field. They have used intensive computational data to suggest that for decades, if not longer, ...
Efforts to contain the spread of the Covid-19 pandemic are now the top priority of governments across the globe. As they make these life-saving decisions, it is particularly crucial for policymakers ...