Skip to main content Skip to navigation

Department of Statistics

Dr David Martinez

Short Biography

I am an Applied Mathematician with a PhD in Mathematics. I specialize in Dynamical Systems and their applications to physical problems. Moreover, I have a background in Theoretical Physics and an interest in Plasma Physics.

I previously worked as a Teaching Assistant and a Lecturer at the School of Sciences (UNAM, Mexico). I have taught early and advanced undergraduate courses in Mathematics, and a graduate course in Analytical Mechanics. I have also served as a Research Fellow at the University of Warwick, working on the numerical implementation of converse KAM results for the characterization of magnetic flux surfaces in toroidal symmetry.

I currently serve as an Academic Tutor in the Department of Statistics, University of Warwick. I am passionate about both teaching and research, and I strive to deliver high quality teaching and learning.

Publications
  • Calleja, R., del-Castillo-Negrete, D., Martínez-del-Río, D., & Olvera, A. (2021) A new method to
    compute periodic orbits in general symplectic maps. Commun Nonlinear Sci Nummer Simulat, 99
    (105838): 1-34.
  • Calleja, R., del-Castillo-Negrete, D., Martínez-del-Río, D., & Olvera, A. (2017) Global transport in a
    nonautonomous periodic standard map. Commun Nonlinear Sci Nummer Simulat, 51: 198-215.
  • Juárez, R., & Martínez, D. (2014) Noncommutative coherent states and Quantum Cosmology. Annals of
    Physics. arXiv:1403.2849 [gr-qc]: 1-21.
  • Martínez-del-Río, D., del-Castillo-Negrete, D., Olvera, A. & Calleja, R. (2015) Self-consistent chaotic
    transport in a high-dimensional mean-Field hamiltonian map model. Qual.Theory Dyn. Syst. 14 (2): 313-
    335.
  • Salgado, M. & Martínez-del Río, D. (2007) The initial value problem of scalar-tensor theories of gravity.
    Journal of Physics, 91 (1) (012004): 1-12.
  • Salgado, M., Alcubierre, M., Martínez-del Río, D. & Nuñez. D. (2008) Hyperbolicity of scalar-tensor
    theories of gravity. Physical Review Letters D, 77 (104010): 1-15.

Biography photo

Office B0.17

Department of Statistics

University of Warwick

Email: David.Martinez-Del-Rio@warwick.ac.uk