It is known that a finite group in general is not determined by structure of its complex group algebra. In the late 1980s, Isaacs proved that if CG is isomorphic to CG and p is a prime, then G has a normal p-complement if and only if H has a normal p-complement, and therefore the nilpotency of a group is determined by the complex group algebra of the group. Later, Hawkes gave a counterexample showing that the same statement does not hold for supersolvability. It is still unknown whether the solvability of a finite group is determined by its complex group algebra. In contrast to solvable groups, simple groups and more generally quasisimple groups are believed to have a stronger connection with their complex group algebras. We will show that every finite quasisimple group of Lie type is determined up to isomorphism by its complex group algebra. This is a joint work with Tong-Viet.