Karan was raised in Kolkata, India. He loves playing guitar and tennis as much as he loves mathematics and puzzles.
BS, Mathematics, University of Illinois at Urbana-Champaign
My current work involves looking at approximating subspaces from incomplete data. Specifically, I am investigating how small the bounds of noise in high-dimensional data can be if we know the projections of data onto lower dimensions and the noise in these lower dimensions.