Institutos Universitarios

José Manuel Rodríguez Sanjurjo

Catedrático de Universidad (Full Professor)
Department of Algebra, Geometry and Topology
School of Mathematical Sciences
Complutense University of Madrid
Research group Topology of Manifolds, Combinatorial Topology and Topological Dynamics




Professor (Catedrático) of Geometry and Topology of the Complutense University since 1991. Head of the Department of Geometry and Topology (2010-2014). Corresponding Member of the Royal Academy of Science of Spain.  Research stays at the Universities of Manchester, Oxford and Liverpool and at the Institute of Mathematics of the Polish Academy of Science.


Research interests

Research in Geometric Topology, Shape Theory and Topology of Dynamical Systems. Current research interests:  Conley index theory, Topological aspects of population dynamics, Qualitative theory of the Lorenz equations and the Lorenz attractor, Qualitative theory of bifurcations, Topology of the Hopf bifurcation, Theory of stability and attraction. 


Latest Publications

  • H. Barge and J. M. R. Sanjurjo. Shape index, Brouwer degree and Poincaré–Hopf theorem. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2023.
  • H. Barge, J. M. R. Sanjurjo. The topology of dissipative systems. (English summary). European Congress of Mathematics, 907–926. EMS Press, Berlin, 2023. ISBN:978-3-98547-051-8, 978-3-98547-551-3.
  • H. Barge, J. M. R. Sanjurjo. Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems. Discrete and Continuous Dynamical Systems. 2022.
  • H. Barge, A. Giraldo, J. M. R. Sanjurjo. Bifurcations, robustness and shape of attractors of discrete dynamical systems. Journal of Fixed Point Theory and Applications. 2020, 22, 2, Article number 29.