Rafael Oliveira is a graduate student in Computer Science at Princeton University, where he is advised by Professor Zeev Dvir. Before that, he was an undergraduate and masters student at MIT, double majoring in Mathematics and Computer Science. Rafael is broadly interested in the interplay between Mathematics and Theory of Computation, with particular interests in Algebraic Complexity and Coding Theory. He has applied techniques from Number Theory, Analysis, and Algebra to obtain structural results for factors of polynomials, as well as to derandomize certain special cases of the celebrated Polynomial Identity Testing problem. Currently, his research focuses on furthering the understanding of the analytical and combinatorial properties of quantum operators, as well as using these operators to prove important results in functional analysis and in extremal configurations of low degree curves in high dimensional spaces.