Professor at Universitat de Barcelona (Agregat: 2009-2019, Catedràtic: 2020- )
Ramón y Cajal Research Fellow (2005-2009)
Miller Research Fellow University of California at Berkeley (2002-2005)
Postdoctoral Fellow at INRIA Sophia-Antipolis (France) (2001-2002)

Editor in Chief of Collectanea Mathematica, and member of the Editorial Board of Journal of Symbolic Computation, Maple Transactions, Revista de Matemática de la Unión Matemática Argentina, and Revista de Educación de la Unión Matemática Argentina.

Member of the Advisory Board of the series of European conferences on “Effective Methods in Algebraic Geometry” MEGA.
Principal Investigator of the node at the University of Barcelona of the Marie Sklodowska-Curie Innovative Training Networks H2020-MSCA-ITN-2019  “GRAPES”.

Principal investigator of the National Program of Research of the Spanish Ministery of Science and Innovation PID2019-104047GB-I00 Algebraic, Linear and Differential Geometry. Theory and Applications.

Algorithmic Algebra and Computational Algebraic Geometry

Elimination theory for systems of polynomial equations

Commutative Algebra

2019 − 2022  Marie Sklodowska-Curie Innovative Training Networks (ITN-ETN) H2020-MSCA-ITN-2019 “GRAPES”
learninG, pRocessing And oPtimising shapES (GRAPES) Principal Investigator of the Node at the University of Barcelona

2020-2023 National Program of Research of the Spanish Ministery of Science and Innovation PID2019-104047GB-I00 Algebraic, Linear and Differential Geometry. Theory and Applications. Principal Investigator

Busé, Laurent; Cid Ruiz, Yairon; D'Andrea, Carlos. Degree and birationality of multi-graded rational maps. Proc. Lond. Math. Soc. (3) 121 (2020) 743-787.

Busé, Laurent; D'Andrea, Carlos; Sombra, Martín, Weimann, Martin. The geometry of the flex locus of a hypersurface. Pacific J. Math. 304 (2020) no.2, 419-437.

Cortadellas Benítez, Teresa; D'Andrea, Carlos; Montoro, Eulàlia. The set of unattainable points for the Rational Hermite Interpolation Problem. Linear Algebra Appl. Vol. 538, 116-142 (2018).

Chang, Mei-Chu; D'Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor; Sombra, Martín. Orbits of polynomial dynamical systems modulo primes. Proc. Amer. Math. Soc. 146 (2018), no. 5, 2015-2025.

D'Andrea, Carlos; Ostafe, Alina; Shparlinski, Igor; Sombra, Martín. Reductions modulo primes of systems polynomial equations and algebraic dynamical systems.Trans. Amer. Math. Soc. 371 (2019), no. 2, 1169-1198.