Eric Weinstein proposes a Geometric Unity theory. It is presented to argue that the seemingly baroque features of the standard model of particle physics are in fact inexorable and geometrically ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Arnold’s work was in an area of mathematics that ...

Two years ago, a mathematician and physicist whom I've known for more than 20 years arranged to meet me in a bar in New York. What he was about to show me, he explained, were ideas that he'd been ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

Science advances by overturning theories, replacing them by better ones. Sometimes the old theories continue to serve as valuable approximations, as with Newton’s laws of motion. Sometimes the older ...

Within mathematics, there is a vast and ever expanding web of conjectures, theorems and ideas called the Langlands program. That program links seemingly disconnected subfields. It is such a force that ...

One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...