Eduardo Casas-Alvero

Eduardo Casas-Alvero (born 1948) is a Spanish mathematician and a professor at the University of Barcelona. His work lies in algebraic geometry and commutative algebra, especially curve theory.

Career

Casas-Alvero received his PhD at the University of Barcelona under the direction of Josep Teixidor i Batlle [ca] in 1975.[1]

Casas-Alvero introduced the Casas-Alvero conjecture characterizing certain polynomials whose factors match their derivatives as powers of a linear polynomial.[2]

Bibliography

  • Casas-Alvero, E. and Xambo-Descamps, S. (1986). The Enumerative Theory of Conics After Halphen. Lecture Notes in Mathematics. Springer.
  • Casas-Alvero, E. (2000). Singularities of Plane Curves. London Mathematical Society Lecture Note Series. Cambridge University Press.
  • Casas-Alvero, E. (2014). Analytic Projective Geometry. EMS Textbooks in Mathematics. European Mathematical Society.
  • Casas-Alvero, E. (2019). Algebraic Curves, the Brill and Noether Way. Universitext. Springer.

References

  1. ^ Eduard Casas Alvero at the Mathematics Genealogy Project
  2. ^ Draisma, Jan; de Jong, Johan P. (2011). "On the Casas-Alvero conjecture" (PDF). Eur. Math. Soc. Newsl. 80: 29–33. ISSN 1027-488X. Zbl 1292.12001. Archived from the original (PDF) on 2016-03-04.