Teresa Crespo
Biosketch
Primary and secondary school: Lycée Français de Barcelone.
Graduate studies and PhD thesis: Faculty of Mathematics, Universitat de Barcelona. PhD Thesis supervision: Montserrat Vela, “Álgebras Z/nZ-graduadas y problema de inmersión galoisiana”, Universitat de Barcelona, 1998.
Florian Heiderich, “Galois theory of module fields”, Universitat de Barcelona, 2010.
Current and previous positions
Catedràtic, Dept. d’Àlgebra i Geometria, Universitat de Barcelona: 2009 –
Professor Titular, Dept. d’Àlgebra i Geometria, Universitat de Barcelona: 1990 – 2009
Professor Titular EU, Universitat Politècnica de Catalunya: 1983 – 1990
Professor Ajudant, Dept. d’Àlgebra i Geometria, Universitat de Barcelona: 1978 – 1983
Prizes, awards, honors and distinctions
Premi extraordinari de doctorat.
Main scientific achievements
Explicit solution of Galois embedding problems; explicit realization of finite groups as differential Galois groups; existence and unicity of real and p-adic Picard-Vessiot fields; construction of Hopf Galois structures.
Research lines
- Classical Galois theory
- Differential Galois theory
- Hopf Galois theory
- Algebraic number theory
Selected publications
- T. Crespo, Z. Hajto, M. van der Put: Real and p-adic Picard-Vessiot fields. Math. Ann. 365 (2016), 93–103
- T. Crespo, A. Rio, M. Vela: Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras, J. Algebra , 422 (2015), 270-276.
- T. Crespo, Z. Hajto: Algebraic Groups and Differential Galois Theory, Graduate Studies in Mathematics 122, American Mathematical Society, 2011.
- T. Crespo, Z. Hajto: Picard-Vessiot theory and the Jacobian problem, Israel J. Math., 186 (2011), 401–406.
- T. Crespo, Z. Hajto: Differential Galois realization of double covers. Ann. Inst. Fourier (Grenoble), 52 (2002), 1017-1025.