This survey is intended to be an up-to-date survey on the singularity conjecture, serving as an improved version of a brief survey outlined in the author's PhD thesis. First of all, we want to clarify ...

“Our universe isn’t just described by math, but it is math in the sense that we’re all parts of a giant mathematical object.” – Max Tegmark I knew virtual reality was going to make mathematical ...

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

A painless, non-invasive brain stimulation technique can significantly improve how young adults learn math, my colleagues and I found in a recent study. In a paper in PLOS Biology, we describe how ...

Envision energy trajectories that curve and cross each other. Now envision energy trajectories that are straight lines and do not cross. Now see an explosion of energy at the points where the curved ...