William Kyle Beatty

I am currently a PhD Student in Applied Mathematics and Statistics at Johns Hopkins University. During my time in undergrad, I became the world's foremost expert in solutions to the following equation:

$$\phi_\pm(\mathbb{Z}_{n_1} \times \mathbb{Z}_{n_1 k}, [0,s]) = 2.$$

An explanation of the equation and my results can be found in the research page.