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César Rodrigo Fernández. Atua na(s) área(s) de Ciências Exatas com ênfase em Matemática.
Identification

Personal identification

Full name
César Rodrigo Fernández

Citation names

  • Rodrigo, César
  • César Rodrigo Fernández
  • C. Rodrigo

Author identifiers

Ciência ID
1D1A-327C-83C3
ORCID iD
0000-0001-9861-5983
Researcher Id
F-7979-2016
Scopus Author Id
7006323020

Addresses

  • Gabinete E356 Escola Superior de Tecnologia de Setúbal Campus do IPS, Estefanilha, 2914-508, Setúbal, Setúbal, Portugal (Professional)

Websites

  • www.geomat-pt.com (Personal)

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Spanish; Castilian Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Portuguese Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
German Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2002
Concluded
 Programa de doctorado en Matemáticas (Doutoramento)
Universidad de Salamanca, Spain
"Cálculo de Variaciones con Ligaduras sobre variedades fibradas. Aplicación al problema de la reducción Lagrangiana" (THESIS/DISSERTATION)
 Sobresaliente cum laude
1998
Concluded
 Programa de doctorado en Matemáticas (Curso de doutoramento (conclusão de unidades curriculares))
Universidad de Salamanca, Spain
"Tensores de estrés-impulso-energia en el cálculo de variaciones de segundo orden" (THESIS/DISSERTATION)
 2.7 (Sistema espanhol: 1 Aprovado, 2 Notável, 3 So
1995
Concluded
 Licenciatura en ciencias (sección matemáticas) (Licenciatura)
Universidad de Salamanca, Spain
"n/a" (THESIS/DISSERTATION)
 2.8 (sistema espanhol: 1 aprovado, 2 Notável, 3 So
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2019/10/01 - Current Teacher Coordinator (Polytechnic Teacher) Instituto Politécnico de Setúbal Escola Superior de Tecnologia de Setúbal, Portugal
2007/03/01 - 2019/09/30 Assistant Professor (University Teacher) Academia Militar, Portugal
2007/03/01 - 2019/09/30 Assistant Professor (University Teacher) Academia Militar, Portugal

Positions / Appointments

Category
Host institution 		Employer
2013 - 2016 Conselho pedagógico Academia Militar, Portugal

Others

Category
Host institution 		Employer
2004/05/21 - 2007/03/01 Professor Titular de Escola Universitária (Nomeação definitiva), área de Geometria e Topologia. Docência e investigação na Faculdade de Matemática. Universidad de Sevilla, Spain
2000/04/01 - 2004/05/20 Professor Ajudante de Faculdade. Docência e investigação na Faculdade de Ciências e na Faculdade de Ciências Químicas. Universidad de Salamanca, Spain
1996/10/18 - 2000/03/31 Professor Ajudante de Escola Universitária. Docência e investigação na Faculdade de Ciências e na Faculdade de Ciências Químicas. Universidad de Salamanca, Spain
1996/06/26 - 1996/10/18 Bolseiro do Plano de Formação de Investigadores do governo regional, Junta de Castilla y León. Trabalho de investigação de título “La forma de Poincaré-Cartan en el Cálculo variacional de orden superi Junta de Castilla y León Consejería de Educación, Spain
Projects

Contract

Designation Funders
2019/01/01 - 2019/12/31 Centro de Matemática, Aplicações Fundamentais e Investigação Operacional
UID/MAT/04561/2019
FCiênciasID Associação para a Investigação e Desenvolvimento de Ciências, Portugal

Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal

Universidade de Lisboa Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/01/01 - 2014/12/31 Teoria Lagrangiana de campos discreta con ligaduras
MTM2010-19111
Researcher
Universidad de Salamanca, Spain
 Gobierno de España Ministerio de Ciencia e Innovación
Concluded
2008/01/01 - 2010/12/31 Cálculo de variaciones con ligaduras no holónomas: Aplicaciones Geométricas y Físicas.
MTM2007-60017
Researcher
Gobierno de España Ministerio de Ciencia e Innovación
Concluded
2004/12/13 - 2007/12/13 Reducción Lagrangiana y Cálculo de Variaciones con Ligaduras: Segunda Variación, Multiplicadores de Lagrange y Discretizaciones
MTM2004/01683
Researcher
Universidad de Salamanca, Spain
Concluded
2004/01/01 - 2005/12/31 La segunda variación en el cálculo de variaciones con ligaduras: Aplicaciones.
SA067/04
Researcher
Universidad de Salamanca, Spain
 Junta de Castilla y León Consejería de Educación
Concluded
2001/01/01 - 2003/12/31 Reducción Lagrangiana y Cálculo de variaciones con Ligaduras: Aplicaciones.
BFM2000-1314
Researcher
Universidad de Salamanca, Spain
 Gobierno de España Ministerio de Ciencia e Innovación
Concluded
2001/01/01 - 2003/12/31 Reducción Lagrangiana y Cálculo de variaciones con Ligaduras: Aplicaciones
SA085/01
Researcher
Universidad de Salamanca, Spain
 Junta de Castilla y León Consejería de Educación
Concluded
1997/12/01 - 1999/12/01 Métodos Gauge-Variacionales en mecánica de orden superior, fluidos relativistas y teorías de Yang-Mills
PB96-1316
Researcher
Gobierno de Espana Ministerio de Educación Cultura y Deporte
Concluded
Outputs

Publications

Conference paper
  1. Rodrigo, César. "Cartan forms and second variation for constrained variational problems". 2006.
  2. Rodrigo, César. "The momentum map in vakonomic mechanics". 2004.
  3. Rodrigo, César; Pedro Luis García Pérez (Catedrático em Geometria e Topologia, Un. de Salamanca). "Euler- Poincaré Reduction in principal fibre bundles and Lagrange multipliers.". Paper presented in Symmetries in Gravity and field theory, Salamanca, 2003.
    Published
  4. Rodrigo, César. "Lagrangian reduction and constrained variational calculus". 2001.
Journal article
  1. Rodrigo, César. "Discrete formulation for the dynamics of rods deforming in space". Journal of Mathematical Physics (2019): http://dx.doi.org/10.1063/1.5045125.
    10.1063/1.5045125
  2. Chacón, P.M.; Fernández, A.; García, P.L.; Rodrigo, C.. "The problem of Lagrange in discrete field theory". Journal of Geometry and Physics 146 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85072766762&partnerID=MN8TOARS.
    10.1016/j.geomphys.2019.103511
  3. Ana Casimiro; César Rodrigo. "Variational integrators for reduced field equations". Statistics, Optimization & Information Computing 6 1 (2018): https://doi.org/10.19139%2Fsoic.v6i1.469.
    10.19139/soic.v6i1.469
  4. Ana Casimiro; César Rodrigo. "Reduction of Forward Difference Operators in Principal G-bundles". Statistics, Optimization & Information Computing 6 1 (2018): https://doi.org/10.19139%2Fsoic.v6i1.468.
    10.19139/soic.v6i1.468
  5. Castrillón López, M.; García, P.L.; Rodrigo, C.; M. Castrillón López; P.L. García; C. Rodrigo. "Euler-Poincaré reduction in principal bundles by a subgroup of the structure group". Journal of Geometry and Physics 74 (2013): 352-369. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884172959&partnerID=MN8TOARS.
    10.1016/j.geomphys.2013.08.008
  6. Casimiro, A.C.; Rodrigo, C.; Casimiro, Ana Cristina; Rodrigo, Cesar. "First variation formula for discrete variational problems in two independent variables". Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 106 1 (2012): 111-135. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856891979&partnerID=MN8TOARS.
    10.1007/s13398-011-0034-6
  7. Ana Cristina Casimiro; César Rodrigo; Casimiro, A.C.; Rodrigo, C.. "First variation formula and conservation laws in several independent discrete variables". Journal of Geometry and Physics 62 1 (2012): 61-86. https://publons.com/publon/6507097/.
    10.1016/J.GEOMPHYS.2011.09.009
  8. Garcia, Pedro L.; Fernandez, Antonio; Rodrigo, Cesar; García, P.L.; Fernández, A.; Rodrigo, C.. "Variational integrators in discrete vakonomic mechanics". Revista de la Real Academia de Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas 106 1 (2012): 137-159. https://publons.com/publon/6507099/.
    10.1007/S13398-011-0030-X
  9. Rodrigo, César. "Variational integrators for discrete Lagrange problems". Journal of Geometric Mechanics (2010): http://aimsciences.org/journals/displayArticles.jsp?paperID=5848.
    10.3934/JGM.2010.2.343
  10. Rodrigo, César. "Acerca dos caminhos óptimos". Proelium. Série VI 8 (2007): 59-76.
    Published
  11. Marco Castrillón; Pedro L. García; César Rodrigo; Castrillón, M.; García, P.L.; Rodrigo, C.. "Euler–Poincaré reduction in principal fibre bundles and the problem of Lagrange". Differential Geometry and its Applications 25 6 (2007): 585-593. https://publons.com/publon/6507095/.
    10.1016/J.DIFGEO.2007.06.007
  12. P.L. García; C. Rodrigo; García, P.L.; García, A.; Rodrigo, C.. "Cartan forms for first order constrained variational problems". Journal of Geometry and Physics 56 4 (2006): 571-610. https://publons.com/publon/6507064/.
    10.1016/J.GEOMPHYS.2005.04.002
  13. Fernández, A.; García, P.L.; Rodrigo, C.. "Stress-energy-momentum tensors for natural constrained variational problems". Journal of Geometry and Physics 49 1 (2004): 1-20. http://www.scopus.com/inward/record.url?eid=2-s2.0-18344411893&partnerID=MN8TOARS.
    10.1016/S0393-0440(03)00058-5
  14. Fernández, A.; Garci´a, P.L.; Rodrigo, C.. "Stress–energy–momentum tensors in higher order variational calculus". Journal of Geometry and Physics 34 1 (2000): 41-72. http://dx.doi.org/10.1016/s0393-0440(98)00063-1.
    Published • 10.1016/s0393-0440(98)00063-1
Preprint
  1. Carlos D. F. J. Bernardes; César Rodrigo. "A model for runway operation decisions with stable queues". 2023. https://arxiv.org/abs/2310.11995.
    10.48550/ARXIV.2310.11995
  2. Ana Casimiro; Cesar Rodrigo. "Cayley-Menger extension of metrics on affine spaces". 2023. https://arxiv.org/abs/2305.02183.
    10.48550/ARXIV.2305.02183

Other

Other output
  1. Symmetry-preserving discretization of variational field theories. 2015. Rodrigo, César.
    10.48550/ARXIV.1509.08750
  2. A special tribute to Professor Pedro L. García. 2013. Marco Castrillón López; ,ICMAT (CSIC, UAM, UC3M, UCM), Departamento de Geometría y Topología, Facultad de Ciencias Matemáticas, Universidad Comp; Antonio Fernández; César Rodrigo; ,Department of Applied Mathematics, University of Salamanca, Salamanca 37008; ,CINAMIL, Academia Militar, Amadora 2720-113. http://dx.doi.org/10.3934/jgm.2013.5.4i.
    10.3934/jgm.2013.5.4i
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023/03/01 - 2023/11/03 MODELIZAÇÃO EM LINGUAGEM AMPL PARA OTIMIZAÇÃO DO FLUXO DE ENTRADA E SAÍDA EM AEROPORTOS
Supervisor
 Mestrado em engenharia de produção (Master)
Instituto Politécnico de Setúbal, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2024/05/13 REDUCTION BY FIBERWISE ACTIONS AND HIGHER-ORDER REDUCTION IN FIELD THEORY.
Thesis Member
 Álvaro Rodríguez Abella (PhD)
Universidad Complutense de Madrid Departamento de Álgebra Geometría y Topología, Spain
2023/04/14 Reduction by Stages in Field Theory. Reducción por etapas en teoría de campos.
(Thesis) Arguer
 Miguel Ángel Berbel López (PhD)
Universidad Complutense de Madrid, Spain
2013/04/11 Divergence-free tensors associated to a metric
Thesis Member
 José Navarro (PhD)
Universidad de Extremadura, Spain

Association member

Society Organization name Role
2011/02 - Current Centro de Matemática e Aplicaçóes Fundamentais - Centro de Investigação Operaciona (CMAF-CIO) Membro associado
2007/11/01 - Current Centro de Investigação da Academia Militar, Instituto Universitário Militar Investigador associado

Committee member

Activity description
Role 		Institution / Organization
2018 - Current Comité Científico das Jornadas de Engenharia da Academia Militar 2018
Member
 Academia Militar, Portugal
2017 - Current Comité Científico das Jornadas das Engenharias da Academia Militar 2017
Member
 Academia Militar, Portugal

Consulting

Activity description Institution / Organization
2006/08 - Current Reviewer para Mathematical Reviews (American Mathematical Society) American Mathematical Society, United States
Distinctions

Award

2003 Prémio extraordinário de doutoramento
Universidad de Salamanca, Spain
1999 Prémio de Grau de Licenciado de Salamanca
Universidad de Salamanca, Spain

Other distinction

2020 "Louvor"
Academia Militar, Portugal