Universidad Nacional de Educación a Distancia

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Universidad Nacional de Educación a Distancia - UNED

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JOSE ANTONIO VALLEJO RODRIGUEZ

COORD. P. COMPETENCIA ESPECÍFICA (MATEMÁTICAS)

PROFESOR TITULAR UNIVERSIDAD

MATEMÁTICAS FUNDAMENTALES

FACULTAD DE CIENCIAS

jvallejo@mat.uned.es

(+34) 91398-7228

Academic Information

       

  • B. Sc. in Physics (major in Theoretical Physics), University of Valencia, 1989-95.
  • B. Sc. in Mathematics, University of Valencia, 1993-98. 
  • Diploma of Advanced Studies (DAS-DEA) in Mathematics, University of Valencia, 2001.
  • Ph. D. in Mathematics (Geometry and Topology),  University of Valencia, 2003. 

   

Academic positions held

Previously, I've been a Lecturer at the Technical University of Catalonia (Spain), and Full Professor at the State University of  San Luis Potosí (México). Also, I've been a Visiting Professor at the University of Sonora (México) and the Technical University of Cartagena (Spain).

Research activity

European R3 Established Researcher certificate.

Research areas: Symplectic and Poisson geometries (particularly on supermanifolds). Applications to Physics (particularly to Quantum Mechanics).  Use of Free Software and Computational Algebra Systems (CAS) both in research and teaching.

Main researcher in several projects funded by the Consejo Nacional de Ciencia y Tecnología (CONACyT, México).

Educational management experience

Coordinator of the Specific Competences Test (Mathematics) to access the Spanish higher education system UNED-ASISS, since 2021.

Research

N.º of recognized sections of research activity

3

Publications

  • PUBLICATIONS IN JOURNALS Preprints also available in arXiv and ORCID. Profile in Web of Science. Profile in Scopus. Profile in Google Scholar.

    1. Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement. To appear in International Journal of Geometric Methods in Modern Physics 2024 DOI: 10.48550/arXiv.2312.01199

    2. Symplectic scalar curvature on the supermanifold of differential forms. International Journal of Geometric Methods in Modern Physics. 2023 20-09 2350155. DOI: 10.1142/S0219887823501554

    3. Wave functions of the Hydrogen atom in the momentum representation. Journal of Physics A: Mathematical and Theoretical. 2023 56 125302 DOI: 10.1088/1751-8121/acbc5a

    4. Closed stable orbits in a strongly coupled resonant Wilberforce pendulum. Journal of Vibration and Control. 2022-04 DOI: 10.1177/1077546320986023

    5. Color confinement at the boundary of the conformally compactified AdS5. Journal of High Energy Physics. 2021-09 DOI: 10.1007/JHEP09(2021)171

    6. Using Oshima Splines to Produce Accurate Numerical Results and High Quality Graphical Output. Mathematics in Computer Science 2020 DOI: 10.1007/s11786-019-00443-2

    7. Acausal quantum theory for non-Archimedean scalar fields. Reviews in Mathematical Physics 2019 DOI: 10.1142/S0129055X19500119

    8. Hamiltonian Dynamical Systems: Symbolical, Numerical and Graphical Study. Mathematics in Computer Science 2019 DOI: 10.1007/s11786-019-00396-6

    9. Synchronization of dynamical systems: an approach using a Computer Algebra System. Electronic Journal of Mathematics and Technology 2019 DOI: 10.48550/arXiv.1809.05271

    10. Robust Optimal Design of Quantum Electronic Devices. Mathematical Problems in Engineering 2018 DOI: 10.1155/2018/3095257

    11. Number theory and cryptography in your smartphone. Electronic Journal of Mathematics and Technology 2018. Link to journal: https://php.radford.edu/~ejmt/ContentIndex.php#v12n1

    12. Virtual beams and the Klein paradox for the Klein-Gordon equation. Revista Mexicana de Fisica E 2018 DOI: 10.48550/arXiv.1602.00190

    13. A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator. Journal of Mathematical Physics 2017 DOI: 10.1063/1.5000382

    14. Collaborative Use of KeTCindy and Free Computer Algebra Systems. Mathematics in Computer Science 2017 DOI: 10.1007/s11786-017-0303-7

    15. G-invariant deformations of almost-coupling Poisson structures. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2017 DOI: 10.3842/SIGMA.2017.022

    16. Lie algebroids generated by cohomology operators. Journal of Geometric Mechanics 2015 DOI: 10.3934/jgm.2015.7.295

    17. Invariant Poisson realizations and the averaging of Dirac structures. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2014 DOI: 10.3842/SIGMA.2014.096

    18. Quillen superconnections and connections on supermanifolds. Journal of Geometry and Physics 2014 DOI: 10.1016/j.geomphys.2014.07.03

    19. A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows. Journal of Physics A: Mathematical and Theoretical 2013 DOI: 10.1088/1751-8113/46/39/395201

    20. Chaotic dynamics with Maxima. Electronic Journal of Mathematics and Technology 2013 DOI: 10.48550/arXiv.1301.3240

    21. Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems. Journal of Mathematical Physics 2013 DOI: 10.1063/1.4817863

    22. Implementing the RSA cryptosystem with Maxima CAS. Electronic Journal of Mathematics and Technology 2012

    23. Modelling the landing of a plane in a calculus lab. International Journal of Mathematical Education in Science and Technology 2012 DOI: 10.1080/0020739X.2011.633626

    24. On Lie algebroids and Poisson algebras. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2012 DOI: 10.3842/SIGMA.2012.006

    25. The principle of stationary action in the calculus of variations. Communications in mathematics 2012 DOI: 10.48550/arXiv.1205.0865

    26. An Approach to omni-Lie algebroids using quasi-derivations. Journal of Generalized Lie Theory and Applications 2011 DOI: 10.4303/jglta/G100801

    27. Euler-Lagrange equations for functionals defined on Fréchet manifolds. Journal of Nonlinear Mathematical Physics 2009 DOI: 10.1142/S1402925109000479

    28. Supersymmetric sigma models and harmonic superfunctions. International Journal of Geometric Methods in Modern Physics 2009 DOI: 10.1142/S0219887809003813

    29. The meaning of time and covariant superderivatives in supermechanics. Advances in Mathematical Physics 2009 DOI: 10.1155/2009/987524

    30. The structure of Fedosov supermanifolds. Journal of Geometry and Physics 2009 DOI: 10.1016/j.geomphys.2009.02.001

    31. Composition operators on weighted spaces of holomorphic functions on JB*-triples. Letters in Mathematical Physics 2006 DOI: 10.1007/s11005-006-0058-6

    32. The Poincaré-Cartan form in superfield theory. International Journal of Geometric Methods in Modern Physics 2006 DOI: 10.1142/S0219887806001375

    33. Generating operators of the Krasil'shchik-Schouten bracket. Letters in Mathematical Physics 2004 DOI: 10.1007/s11005-004-4066-0

    34. The symplectic structure of Euler-Lagrange superequations and Batalin-Vilkoviski formalism. Journal of Physics A: Mathematical and General 2003 DOI: 10.1088/0305-4470/36/18/305

    35. Modular class of even symplectic manifolds. Theoretical and Mathematical Physics 2002 DOI: 10.1023/A:1019607307817

    36. Poisson brackets of even symplectic forms on the algebra of differential forms. Annals of Global Analysis and Geometry 2002 DOI: 10.1023/A:1019948414641

    37. Nambu-Poisson manifolds and associated n-ary Lie algebroids. Journal of Physics A: Mathematical and General DOI: 10.1088/0305-4470/34/13/315
  • PROCEEDINGS AND BOOK CHAPTERS
    1. The Conformal-Symmetry–Color-Neutrality Connection in Strong Interaction. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2021. Springer Proceedings in Mathematics & Statistics, vol 396. Springer, Singapore. 10.1007/978-981-19-4751-3_31
    2. A radical approach to the role of computational thinking in teaching Mathematics. Journal of Physics: Conference Series 2020 DOI: 10.1088/1742-6596/1581/1/012071 Part of ISBN: 17426596 17426588
    3. Supermanifolds, symplectic geometry and curvature. Springer Proceedings in Mathematics and Statistics 2016 DOI: 10.1007/978-3-319-32085-4_12
    4. Symplectic connections and Fedosov's quantization on supermanifolds. Journal of Physics: Conference Series 2012 DOI: 10.1088/1742-6596/343/1/012124
    5. Harmonicity in supermanifolds and sigma models. AIP Conference Proceedings 2009 DOI: 10.1063/1.3146233
Otros

Other activities

Service
  1. Referee for many JCR-indexed journals, including Journal of Mathematical Physics, Classical and Quantum Gravity, Nonlinearity o Journal of Physics A: Mathematical and Theoretical. Complete listing available at ORCiD https://orcid.org/0000-0002-9508-1549
  2. Referee for the Programa de Fortalecimiento de la Calidad Educativa (PFCE), Secretaría de Educación Pública (México)
  3. Referee for the Programa de Desarrollo Profesional Docente (ProDEP), Secretaría de Educación Pública (México)
  4. Referee for the Programa Nacional de Posgrados de Calidad (PNPC), Secretaría de Educación Pública (México)
  5. Referee for Proyectos de Ciencia Básica, Consejo Nacional de Ciencia y Tecnología, Secretaría de Educación Pública (México)
  6. Referee for Proyectos de Fronteras de la Ciencia, Consejo Nacional de Ciencia y Tecnología, Secretaría de Educación Pública (México)
  7. External referee for the Grant Agency of the Czech Republic (GARC), Czech Science Foundation (Czech Republic)
  8. External Assessor for Promotion. Victoria University (Australia)
 Academic Advisor

3 Ph. D. theses, 6 M. Sc. theses and 12 B. Sc. theses advised.