Profile (CV) of the research teaching staff

Journal articles

• Cariñena, J.F.; Martínez, Eduardo; Muñoz-Lecanda, Miguel C. Sundman transformation and alternative tangent structures. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2023. DOI: 10.1088/1751-8121/acc913
  
  
• Cariñena, J. F.; Martínez, E.; Muñoz-Lecanda, M. C. Infinitesimal Time Reparametrisation and Its Applications. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. 2022. DOI: 10.1007/s44198-022-00037-w
  
  
• Marrero J.C.; de Diego D.M.; Martínez E. LOCAL CONVEXITY for SECOND ORDER DIFFERENTIAL EQUATIONS on A LIE ALGEBROID. JOURNAL OF GEOMETRIC MECHANICS. 2021. DOI: 10.3934/jgm.2021021
  
  
• Martínez, E. Classical field theory on lie algebroids: Multisymplectic formalism. JOURNAL OF GEOMETRIC MECHANICS. 2018. DOI: 10.3934/jgm.2018004
  
  
• Martinez, E. Linearization of nonlinear connections on vector and affine bundles, and some applications. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2018. DOI: 10.1088/1751-8121/aa9f71
  
  
• Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. Structural aspects of Hamilton-Jacobi theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2016. DOI: 10.1142/S0219887816500171
  
  
• Marrero, J. C.;de Diego, D. M.;Martínez, E. The local description of discrete mechanics. FIELDS INSTITUTE COMMUNICATIONS. 2015. DOI: 10.1007/978-1-4939-2441-7_13
  
  
• Martínez,E. Higher-order variational calculus on lie algebroids. JOURNAL OF GEOMETRIC MECHANICS. 2015. DOI: 10.3934/jgm.2015.7.81
  
  
• Cariñena, J. F.; Gheorghiu, I.; Martínez, E.; Santos, P. Virial theorem in quasi-coordinates and Lie algebroid formalism. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2014. DOI: 10.1142/S0219887814500558
  
  
• Abrunheiro,L.;Camarinha,M.;Cariñena,J. F.;Clemente-Gallardo,J.;Martínez,E.;Santos,P. Some applications of quasi-velocities in optimal control. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2011. DOI: 10.1142/S0219887811005427
  
  
• Asorey, M.;Martínez, E.;Cariñena, J. F. ;Clemente-Gallardo, J. AIP conference proceedings: preface. AIP CONFERENCE PROCEEDINGS. 2010
  
  
• Cariñena, Jose F.;Gracia, Xavier;Marmo, Giuseppe;Martinez, Eduardo;Muñoz-Lecanda, Miguel C. ;Roman-Roy, Narciso. Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2010
  
  
• Cortes, J.;de Leon,M.;Carlos Marrero,J.;Martinez,E. Nonholonomic Lagrangian Systems on Lie Algebroids. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2009
  
  
• Iglesias, D.;Marrero,J. C.;de Diego,D. M.;Martinez,E. Discrete Nonholonomic Lagrangian Systems on Lie Groupoids. JOURNAL OF NONLINEAR SCIENCE. 2008
  
  
• Martinez, E. Variational Calculus on Lie Algebroids. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. 2008
  
  
• Iglesias, D.;Marrero,J. C.;Martin de Diego,D.;Martinez,E.;Padron,E. Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group. SPANISH JOURNAL OF PSYCHOLOGY. 2007
  
  
• Martinez, E. Lie Algebroids in Classical Mechanics and Optimal Control. SPANISH JOURNAL OF PSYCHOLOGY. 2007
  
  
• Cortes,J.;de Leon,M.;Marrero,J. C.;de Diego,D. M.;Martinez,E. A survey of Lagrangian Mechanics and control on Lie algebroids and groupoids. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2006
  
  
• Marrero,J. C.;de Diego,D. M.;Martinez,E. Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids. NONLINEARITY. 2006
  
  
• Carinena,J. F.;Lazaro-Cami,J. A.;Martinez,E. On second Noether's theorem and gauge symmetries in mechanics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2006
  
  
• Cariñena, J.F.; Gracia, X.; Marmo, G.; Martinez, E.; Muñoz-Lecanda, M.C.; Roman-Roy, N. Geometric Hamilton-Jacobi theory. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. 2006. DOI: 10.1142/S0219887806001764
  
  
• de Leon, M.;Marrero, J. C.;Martinez, E. Lagrangian Submanifolds and Dynamics on Lie Algebroids. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 2005
  
  
• Martinez, E. Classical Field Theory on Lie Algebroids: Variational Aspects. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 2005
  
  
• Cortes, Jorge;Martinez, Eduardo. Mechanical control systems on Lie algebroids. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION. 2004
  
  
• Martinez, Eduardo. Reduction in optimal control theory. REPORTS ON MATHEMATICAL PHYSICS. 2004
  
  
• Martinez, Eduardo;Mestdag, Tom;Sarlet, Willy. Lie algebroid structures and Lagrangian systems on affine bundles. JOURNAL OF GEOMETRY AND PHYSICS. 2002
  
  
• Martinez, E. Lagrangian mechanics on lie algebroids. ACTA APPLICANDAE MATHEMATICAE. 2001
  
  
• Lopez, C.; Martinez, E.; Rañada, M. F. Dynamical symmetries, non-Cartan symmetries and superintegrability of the n-dimensional harmonic oscillator. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 1999
  
  
• Sarlet, W.;Crampin, M.;Martinez, E. The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations. ACTA APPLICANDAE MATHEMATICAE. 1998
  
  
• Crampin, M.;Martinez, E.;Sarlet, W. Linear connections for systems of second-order ordinary differential equations. ANNALES DE L'IHP. PHYSIQUE THÉORIQUE. 1996
  
  
• Cantrijn, F.;Sarlet, W.;Vandecasteele, A.;Martinez, E. Complete separability of time-dependent second-order ordinary differential equations. ACTA APPLICANDAE MATHEMATICAE. 1996
  
  
• Martínez, E. Linealización de ecuaciones diferenciales de segundo orden. EXTRACTA MATHEMATICAE. 1996
  
  
• Martinez, E.;Cariñena, J. F. Geometric characterization of linearisable second-order differential equations. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 1996
  
  
• Sarlet, W.;Vandecasteele, A.;Cantrijn, F.;Martinez, E. Derivations of Forms Along a Map - the Framework for Time-Dependent 2nd-Order Equations. DIFFERENTIAL GEOMETRY AND ITS APPLICATION. 1995
  
  
• Crampin, M.;Sarlet, W.;Martinez, E.;Byrnes, G. B.;Prince, G. E. Towards a Geometrical Understanding of Douglas Solution of the Inverse Problem of the Calculus of Variations. INVERSE PROBLEMS. 1994
  
  
• Cariñena, J. F.;Martinez, E. A New Geometric Setting for Lax Equations. INTERNATIONAL JOURNAL OF MODERN PHYSICS A. 1994
  
  
• Martinez, E.;Cariñena, J. F.;Sarlet, W. Geometric Characterization of Separable 2nd-Order Differential-Equations. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 1993
  
  
• Cariñena, J. F.;Lopez, C.;Martinez, E. Sections Along a Map Applied to Higher-Order Lagrangian Mechanics - Noether Theorem. ACTA APPLICANDAE MATHEMATICAE. 1991
  
  
• Cariñena, J. F.;Fernandez Nuñez, J.;Martinez, E. A Geometric Approach to Noether 2nd Theorem in Time-Dependent Lagrangian Mechanics. LETTERS IN MATHEMATICAL PHYSICS. 1991
  
  

Conference presentations

• Martinez, E. Lie Algebroids and Mechanics. AIP CONFERENCE PROCEEDINGS. 2009
  
  

Books

• memoria presentada por Eduardo Martínez Fernández ; [bajo la dirección de José Fernando Cariñena]. Geometría de ecuaciones diferenciales aplicada a la mecánica. 1991
  
  

Projects

• E48_23R: Análisis y física matemática. 01/01/23 - 31/12/25
  
  
• PID2021-125515NB-C22: Métodos geométricos en la teoría de ecuaciones diferenciales. 01/09/22 - 31/08/25
  
  
• E48_20R: Análisis Y Física Matemática. 01/01/20 - 31/12/22
  
  
• PGC2018-098265-B-C31: INTERACCIÓN FÍSICA-TECNOLÓGIA-MATEMÁTICAS: MÉTODOS GEOMÉTRICOS MODERNOS. 01/01/19 - 30/09/22
  
  
• GRUPO DE REFERENCIA FÍSICA MATEMÁTICA Y GEOMETRÍA FRACTAL. 01/01/17 - 31/12/19
  
  
• FCT-15-9845. TALLER DE CONSTRUCCIÓN DE IMPRESORAS 3D Y TALLER AVANZADO DE IMPRESIÓN 3D. 01/01/16 - 31/12/16
  
  
• GRUPO CONSOLIDADO E24/1 FÍSICA MATEMÁTICA. 01/01/16 - 31/12/16
  
  
• MTM2015-64166-C2-1-P: MÉTODOS GEOMÉTRICOS EN INTEGRABILIDAD Y TEORÍA DE CONTROL. 01/01/16 - 30/11/19
  
  
• GRUPO CONSOLIDADO E24/1 FÍSICA MATEMÁTICA. 01/01/15 - 31/12/15
  
  
• XXIV INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. 01/01/15 - 31/12/15
  
  
• GRUPO CONSOLIDADO E24/1 FÍSICA MATEMÁTICA. 01/01/14 - 31/12/14
  
  
• GRUPO CONSOLIDADO E24/1 FÍSICA MATEMÁTICA Y TEORÍA DE CAMPOS. 01/01/13 - 31/12/13
  
  
• MTM2012-33575: MÉTODOS GEOMÉTRICOS EN INTEGRABILIDAD Y TEORÍA DE CONTROL. 01/01/13 - 30/09/16
  
  
• VI CONGRESOS 2011.ENCUENTRO DE INVIERNO DE GEOMETRIA, MECANICA Y TEORIA DE CONTROL. 01/01/12 - 31/12/12
  
  
• VI CONGRESOS 2011.THEMATIC DAY ON THE GEOMETRY OF POISSON MANIFOLDS. 01/01/12 - 31/12/12
  
  
• GRUPO CONSOLIDADO E24/1 FISICA MATEMATICA Y TEORIA DE CAMPOS. 01/01/11 - 31/12/12
  
  
• MTM2009-11154. METODOS GEOMETRICOS E INTEGRABILIDAD Y TEORIA DE CONTROL. 01/01/10 - 30/06/13
  
  
• MTM2009-05880-E XVIII ENCUENTRO DE OTOÑO DE GEOMETRIA Y FISICA. 01/09/09 - 30/11/09
  
  
• GRUPO CONSOLIDADO E24/1 FÍSICA MATEMÁTICA Y TEORÍA DE CAMPOS. 01/01/08 - 31/12/10
  
  
• HP2006-0078. GENERALIZED LAGRANGIAN AND HAMILTONIAN TECHNIQUES FOR GEOMETRIC CONTROL THEORY. 01/01/07 - 31/03/09
  
  
• MTM2006-10531 MÉTODOS GEOMÉTRICOS Y VARIACIONALES EN INTEGRABILIDAD Y TEORÍA DE CONTROL. 01/10/06 - 30/09/09
  
  
• GROUPS. GEOMTRY AND PHYSICS. 01/01/06 - 31/12/06
  
  
• GRUPO CONSOLIDADO E24/1 FISICA MATEMATICA Y TEORIA DE CAMPOS. 01/01/05 - 31/12/07
  
  
• NUEVAS TECNOLOGÍAS 2004. MATERIAL DOCENTE PARA PRÁCTICAS DE MATEMÁTICAS (LICENCIATURA DE QUÍMICAS). 07/05/04 - 31/12/04
  
  
• BFM2OO3-02532MATE METODOS GEOMETRICOS Y VARIACIONALES EN INTEGRABILIDAD Y TEORIA DE CONTROL. 01/12/03 - 30/05/07
  
  
• CICYT BFM2000-1066-C03-01. METODOS GEOMETRICOS Y TOPOLOGICOS EN SISTEMAS DINAMICOS: INTEGRABILIDAD, CUANTIZACION Y TEORIA DE CONTROL. 18/12/00 - 19/12/03
  
  
• PB96-071. METODOS GEOMETRICOS EN SISTEMAS DINAMICOS: ESTRUCTURAS DE POISSON, INTEGRABILIDAD Y CUANTIZACION. 01/12/97 - 01/12/00
  
  

Contracts

• RETORNO UZ- FÍSICA MATEMÁTICA. 01/01/15 - 31/12/22
  
  
• GRUPO DE INVESTIGACION FISICA MATEMATICA (RETORNO UZ). 17/11/08 - 31/12/22
  
  

PhD supervision

• On some applications of lie algebroids in geometry and physics. Universidad de Zaragoza. Sobresaliente cum laude. 25/01/16
  
  
• Stochastic geometric mechanics. Universidad de Zaragoza. Sobresaliente "Cum Laude". 10/12/08
  
  

Supervision of final year projects

• SEGUIMIENTO DE TRAYECTORIAS EN UN BRAZO DE ROBOT. Universidad de Zaragoza. Sobresaliente. 28/06/00
  
  

Supervision of undergraduate dissertations

• Sístemas híbridos clásico-cuánticos. Universidad de Zaragoza. Matrícula de honor. 02/12/24
  
  
• Geometría de la Información. Universidad de Zaragoza. Sobresaliente. 02/10/17
  
  
• Ecuaciones diferenciales implícitas y clasificación de sus singularidades. Universidad de Zaragoza. Notable. 17/12/15
  
  
• Sistemas dinámicos con simetría. Universidad de Zaragoza. Matrícula de honor. 11/07/14
  
  

Supervision of master's theses

• Algebroides de Lie y sus aplicaciones a la interpolación en variedades diferenciales. Universidad de Zaragoza. Sobresaliente. 15/07/15
  
  

Participation in conferences

• XVth Int. Workshop on ``Differential Geometric Methods in Mechanics" Participativo - Ponencia oral (comunicación oral). Symmetries, bi-Hamiltonian structures and superintegrability. Tenerife. 21/08/00
  
  

UNIZAR teaching activity

• Ordinary differential equations. From the 2020-21 course to the 2024-25 course
  
  
• Ordinary differential equations. Joint Program in Physics and Mathematics. From the 2017-18 course to the 2024-25 course
  
  
• Ordinary differential equations. Degree in Mathematics. From the 2011-12 course to the 2024-25 course
  
  
• Undergraduate dissertation. Joint Program in Physics and Mathematics. During academic year 2023-24
  
  
• Mathematics. Degree in Chemistry. During academic year 2019-20
  
  
• Dynamical systems. Degree in Mathematics. From the 2013-14 course to the 2014-15 course
  
  
• Control theory. Master's in Modeling, Mathematical Research, Statistics and Computing. From the 2013-14 course to the 2014-15 course
  
  
• Dynamic systems. Degree in Mathematics. From the 2005-06 course to the 2013-14 course
  
  
• Control theory. Master's in Mathematical, Statistical and Computing Modelling. From the 2007-08 course to the 2012-13 course
  
  
• Numerical integration of partial differential equations. Degree in Mathematics. From the 2006-07 course to the 2012-13 course
  
  
• Further differential equations. Licenciado en Matemáticas. From the 2003-04 course to the 2012-13 course
  
  
• Mathematical modelling, dynamic systems and control. Master's in Introduction to Mathematics Research. During academic year 2011-12
  
  
• Mathematical modelling, dynamic systems and control. Master's in Introduction to Mathematics Research. From the 2007-08 course to the 2009-10 course
  
  
• Numerical integration of partial differential equations. Master's in Introduction to Mathematics Research. From the 2007-08 course to the 2008-09 course
  
  
• Dynamic systems. Master's in Introduction to Mathematics Research. From the 2007-08 course to the 2008-09 course
  
  
• Mathematics. Licenciado en Química. From the 2002-03 course to the 2005-06 course
  
  
• Numerical analysis. During academic year 2003-04
  
  
• Extension of mathematics. During academic year 2002-03
  
  
• Numerical calculus. During academic year 2002-03
  
  
• Discrete mathematics. During academic year 2001-02
  
  
• Calculus. From the 2000-01 course to the 2001-02 course
  
  
• Tensor operators and differentials. From the 2000-01 course to the 2001-02 course
  
  
• Algebra. From the 1998-99 course to the 2000-01 course
  
  
• Differential equations. From the 1998-99 course to the 1999-00 course
  
  
• Calculus. From the 1995-96 course to the 1998-99 course
  
  
• Tensor operators and differentials. From the 1995-96 course to the 1997-98 course
  
  
• Calculo. During academic year 1994-95
  
  
• Matematicas de la especialidad. During academic year 1994-95