We show that the linked Grassmannian scheme, which arises in a functorial compactification of spaces of limit linear series, and in local models of certain Shimura varieties, is Cohen-Macaulay, ...

Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian. The outline of Lauren Williams’ mathematical career was ...

Each year, the MacArthur Foundation announces its MacArthur Fellows or “Geniuses,” a class of researchers, scientists, artists, entrepreneurs and more who are changing the world through their endless ...

The amplituhedron is a geometric shape with an almost mystical quality: Compute its volume, and you get the answer to a central calculation in physics about how particles interact. Now, a young ...

A reworking of the theory of particle interactions — the same theory but rendered in a new form based on twistor geometry — is likely to have wide implications for physics, including the reformulation ...

Harvard Mathematics professor Lauren K. Williams has been awarded a 2025 MacArthur Fellowship for her groundbreaking research bridging theoretical mathematics and physics. Her work on algebraic ...