Montserrat Vela

Associate professor at UPC
Research area: Number Theory

PhD in Mathematics obtained at UB


I worked for 10 years at the Universitat of Barcelona. From october of 2001 I am working at the Universitat Politècnica de Catalunya. I am a member of the Seminari de Teoria de Nombres de Barcelona from the 1992. I worked on Galois embedding problems for several years and I’m presently interested on Hopf Galois theory.

Research lines

  • Galois Theory in particular Galois embedding problem
  • Clifford algebras and Z/nZ-graded algebras
  • Hopf Galois theory

Selected publications

  • Crespo, T; Rio, A. ; Vela, M. On the Galois correspondence theorem in separable Hopf Galois theory, Publ. Mat., to appear; arXiv:1405.0881
  • Crespo, T; Rio, A. ; Vela, M. Non isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras. Journal of Algebra 422 (2014) 270-276
  • Crespo, T; Vela, M. On the Galois embedding problem associated to the universal central extension of the alternating group of degree 6. Journal of Pure and Applied Algebra 217, 12 (2013), 2382-2386
  • Vela, M. Resolution of a family of Galois embedding problems with cyclic kernel. Revista Matemática Iberoamericana , 21, 1 (2005), 111-132
  • Vela, M. Explicit Solutions of Galois Embedding Problems by Means of Generalized Clifford Algebras. Journal of Symbolic Computation 30 (2000), 811-842