I also discuss recent advances in the computation of real roots of real polynomials. Near optimal solutions for the more general problem of isolating the complex roots of complex polynomials are known for quite some time (V. Pan, 2002). The new algorithms achieve the same time complexity for a sub-problem and are considerably simpler. I also discuss application to computational geometry, in particular, cylindrical algebraic decomposition. The talk is based on joint work with Michael Sagraloff.