Eduardo Casas-Alvero

Eduardo Casas-Alvero, born in 1948, is a Spanish mathematician who is a professor at the University of Barcelona. His research lies in algebraic geometry and commutative algebra, with a particular emphasis on the theory of algebraic curves and their singularities. He obtained his doctorate at the University of Barcelona in 1975 under the direction of Josep Teixidor i Batlle. He is the namesake of the Casas-Alvero conjecture, which asks whether a polynomial that shares a root with each of its derivatives must be a power of a linear polynomial. He has also written several graduate-level books, among them a treatise on the enumerative theory of conics after Halphen, a volume on singularities of plane curves, a textbook on analytic projective geometry and a text on algebraic curves following the approach of Brill and Noether.