Given a vector space V of homogeneous polynomials of the same degree over an infinite field, consider a generic subspace W of V. The main result of this paper is a lower-bound (in general sharp) for ...

In the fall of 2017, Mehtaab Sawhney, then an undergraduate at the Massachusetts Institute of Technology, joined a graduate reading group that set out to study a single paper over a semester. But by ...

In 50 years of searching, mathematicians found only one example of a “subspace design” that fit their criteria. A new proof reveals that there are infinitely more out there. In the fall of 2017, ...