Title Bounds on the dimension of the Brill-Noether schemes of rank two bundles Type of Research Article Keywords Brill–Noether theory , Petri map , Vector bundles Abstract The aim of this note is to find upper bounds on the dimension of Brill–Noether locus inside the moduli space of rank two vector bundles on a smooth algebraic curve. We deduce some consequences of these bounds. Researchers Ali Bajravani (First Researcher)