ChapterZero

I’m reading a paper by one of the professors I’m interested in working with, on the conditioning of random submatrices. Hopefully tomorrow I’m meeting with him to discuss it. I could definitely see myself working with him, because the area he’s working in– probabilistic numerical algebra, if I had to name it– is at the intersection of several fields. Not only would I be working on problems I find interesting in themselves, but I’d be gaining a foundation that would allow me to diversify my research interests in the future. On the one hand, there’s the obvious and broad route that segues into more traditional probabilistic studies, and on the other, there’s a connection to optimization on matrix manifolds, and through that, optimization theory in itself, or differential geometry.