Filipe Carteado Mena

Associate Professor, Department of Mathematics, University of Minho, Braga, Portugal.
Research Visitor, School of Mathematical Sciences, Queen Mary, University of London, U.K.

Página em português

Research interests

General Relativity, Mathematical Cosmology, Differential Geometry and applications of Dynamical Systems.

Stability and genericity problems in General Relativity.
Theory and applications of non-linear perturbations, global evolution and space-time singularities.

Academic and Research work

(2009---) Associate Professor, Dep. Mathematics, Univ. Minho. Coordinator of Project FCT PTDC/MAT/108921/2008: "Analysis of Einstein Equations" (2010-12) , participant institutions: CMAT (Minho) and CAMGSD (IST).
(2002-09) Auxiliar Professor, Dep. Mathematics, Univ. Minho. Research Visitor, School of Mathematical Sciences, Queen Mary, University of London, U.K. Research grants: CRUP/Ministerio de Ciencia y Tecnologia (Espanha)(2004); CRUP/British Council (Inglaterra) (2003, 2008). Research Visitor, Dep. Mathematics, IST, Lisbon (2007)(6 months).
(2003-05) Posdoctoral researcher, Mathematical Institute, University of Oxford, U.K. Posdoctoral research grants from Fundação para a Ciência e Tecnologia (2004-05) and from Fundação Calouste Gulbenkian (2003-04).
(1998-02) Ph.D., Queen Mary, University of London, U.K., Ph.D. grant from Fundação para a Ciência e Tecnologia. Research Visitor, CBPF, Rio de Janeiro, Brasil (2000)(3 months)
(1995-02) Teaching Assistent, Dep. Mathematics, Univ. Minho
(1994-95) M.Sc., Queen Mary, University of London, U.K.
(1990-94) Licenciatura (4 year degree), University of Porto.

Ph.D. Supervision

  • Non-linear evolution and stability problems in General Relativity (Artur Alho, in course, grant FCT SFRH/BD/48658/2008). Co-supervision by José Natário (IST, Lisbon).

    • M.Sc. Supervision

  • Stability of the restricted three body problem (Dulce Pinto, 2006) online (in portuguese)
  • Semi-relativitic approximation of the restricted three body problem (Ana Fernandes, 2007)
  • Qualitative Theory of Diferential Equations and Application to Biology (António Correia, 2009). Co-supervision by Ana J. Soares (Minho).
  • Mechanics of Rigid Bodies and Applications to Planetary Dynamics (Rui Faria, in course). Co-supervision by Filipe Moura (Minho).

    • Undergraduate Supervision

  • Hamiltonian Graphs (Álvara Costa, 2006) pdf (in portuguese)
  • Mathematics in Astronomy (Fátima Gonçalves, Liliana Magalhães e Susana Pereira, 2007) pdf (in portuguese)
  • Games in Mathematics Teaching (Cristina Carvalho, Orquídea Pereira, Sabrina Rodrigues, 2008)
  • Schwarzchild solution and tests to General Relativity (Armindo Figueira, 2009). Co-supervision by Filipe Moura (Minho).

    • Subjects Taught and Lecture Notes

    At the University of Minho, courses about to Analysis, Differential Equations, Linear Algebra and Analytical Geometry, Differential Geometry, Dynamical Systems and Mathematical Modelling. At the Universities of London and Oxford, courses about General Relativity.

    List of Publications and Preprints

    The complete list is here. Some recent publications are:

  • Filipe C. Mena, Jose Natario and Paul Tod
    Formation of Higher-dimensional Topological Black Holes
    Annales Henri Poincaré, vol. 10 (2010) 1359-1376
    online


  • Filipe C. Mena and Jose Natario
    Matching stationary spacetimes
    Journal of Geometry and Physics, vol. 59 (2009) 448-458
    online


    • Address, Phone and Fax

    Departamento de Matemática, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, Portugal.
    Gabinete: EC.3.19, Tel: +351 253 604087 (directo), Fax: +351 253 604369 (dept.)
    Email: fmena@math.uminho.pt