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Identification

Personal identification

Full name
Maria Esmeralda Rodrigues de Sousa Dias

Citation names

  • Esmeralda Sousa-Dias
  • M. Esmeralda Sousa-Dias
  • M.E.R Sousa Dias
  • M.E. Sousa Dias

Author identifiers

Ciência ID
861E-7BCA-65F2
ORCID iD
0000-0001-5368-1426
Scopus Author Id
6507127904

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Proficiency (C2) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Beginner (A1) Proficiency (C2) Beginner (A1) Advanced (C1) Advanced (C1)
Education
Degree Classification
1989 - 2004
Concluded
 Matemática (Doctor of Philosophy)
Major in Sem especialidade
University of Warwick Mathematics Institute, United Kingdom
"Singular Values of the Momentum Map for Cotangent Lifted Actions" (THESIS/DISSERTATION)
1995
Concluded
 Matemática (Doutoramento)
Major in Matemática
University of Warwick, United Kingdom
"Local Dynamics of Symmetric Hamiltonian Systems with Application to the Affine Rigid Body" (THESIS/DISSERTATION)
1985/10 - 1989/09
Concluded
 Matemática aplicada e Computação (Mestrado)
Major in Matemática
Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
"Bifurcações com Simetria" (THESIS/DISSERTATION)
1979 - 1983
Concluded
 Matemática e Desenho (Ensino de) (Licenciatura)
Universidade de Aveiro, Portugal
Projects

Contract

Designation Funders
2018/10/01 - 2022/09/30 Geometria Simpléctica e Dinâmica Conservativa
PTDC/MAT-PUR/29447/2017
Researcher
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2014 - 2016 Geometry and Mathematical Physics
EXCL/MAT-GEO/0222/2012
Researcher
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Other

Designation Funders
2019/01/01 - 2019/12/31 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
UID/MAT/04459/2019
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal

Universidade de Lisboa Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2000 - 2004 MASIE
MASIE-HRPN-CT-2000-00113
Principal investigator
Universidade de Lisboa Instituto Superior Técnico, Portugal
Concluded
Outputs

Publications

Book chapter
  1. Ratiu, T.S.; Tudoran, R.; Sbano, L.; Dias, Maria; Terra, G.. "A Crash Course in Geometric Mechanics (T.S. Ratiu)". In Geometric Mechanics and Symmetry, 23-156. Cambridge University Press, 2005.
    Published • 10.1017/cbo9780511526367.003
  2. Dias, Maria. "A Geometric Hamiltonian Approach to the Affine Rigid Body". In Dynamics, Bifurcation and Symmetry, edited by Chossat, P., 291-299. Springer Netherlands, 1994.
    Published • 10.1007/978-94-011-0956-7_23
Conference paper
  1. Rodríguez-Olmos, M.; Esmeralda Sousa-Dias. "A note on the existence and symmetries of relative equilibria in simple mechanical systems". Paper presented in XI Fall Workshop on Geometry and Physics, Oviedo 2002, Oviedo, 2002.
    Published
  2. RODRÍGUEZ-OLMOS, M.; Dias, Maria. "SYMMETRIES OF RELATIVE EQUILIBRIA FOR SIMPLE MECHANICAL SYSTEMS". Paper presented in International Conference on SPT 2002, Gala Gonone, Sardenha, 2002.
    Published • 10.1142/9789812795403_0024
  3. M.E. Sousa Dias. "Relative equilibria in linear elasticity". Paper presented in STP98- Symmetry and Pertubation Theory II, Roma, 1998.
    Published
Journal article
  1. Cruz, Inês; Mena-Matos, Helena; Dias, Maria. Corresponding author: Dias, Maria. "The group of symplectic birational maps of the plane and the dynamics of a family of 4D maps". Journal of Geometric Mechanics 12 3 (2020): 363-375. http://dx.doi.org/10.3934/jgm.2020010.
    10.3934/jgm.2020010
  2. Cruz, Inês; Mena-Matos, Helena; Dias, Maria. Corresponding author: Cruz, Inês. "Multiple Reductions, Foliations and the Dynamics of Cluster Maps". Regular and Chaotic Dynamics 23 1 (2018): 102-119. http://dx.doi.org/10.1134/s1560354718010082.
    10.1134/s1560354718010082
  3. Cruz, Inês; Mena-Matos, Helena; Esmeralda Sousa-Dias. Corresponding author: Esmeralda Sousa-Dias. "Dynamics of the birational maps arising from F_0 and dP3 quivers". Journal of Mathematical Analysis and Applications 431 2 (2015): 903-918. http://dx.doi.org/10.1016/j.jmaa.2015.06.017.
    10.1016/j.jmaa.2015.06.017
  4. R.M. Roberts; Dias, Maria. "Symmetries of Riemann Ellipsoids". Resenhas do Instituto de Matematica e Estatistica de São Paulo 4 2 (2014): 183-221. https://www.revistas.usp.br/resenhasimeusp/article/view/74926.
    Published
  5. Cruz, Inês; Esmeralda Sousa-Dias. Corresponding author: Esmeralda Sousa-Dias. "Reduction of cluster iteration maps". Journal of Geometric Mechanics 6 3 (2014): 297-318. http://dx.doi.org/10.3934/jgm.2014.6.297.
    Published • 10.3934/jgm.2014.6.297
  6. Godinho, Leonor; Esmeralda Sousa-Dias. "Addenda and Errata to "The Fundamental Group of S^1-manifolds"". Canadian Journal of Mathematics 65 3 (2013): 553-558. http://dx.doi.org/10.4153/cjm-2012-024-0.
    Published • 10.4153/cjm-2012-024-0
  7. Cruz, Inês; Sousa-Dias, M. Esmeralda. "Reduction of order of cluster-type recurrence relations". The São Paulo Journal of Mathematical Sciences 6 2 (2012): 203. http://dx.doi.org/10.11606/issn.2316-9028.v6i2p203-225.
    10.11606/issn.2316-9028.v6i2p203-225
  8. Godinho, Leonor; Dias, Maria. "The Fundamental Group of S^1-manifolds". Canadian Journal of Mathematics 62 5 (2010): 1082-1098. http://dx.doi.org/10.4153/cjm-2010-053-3.
    Published • 10.4153/cjm-2010-053-3
  9. Rodríguez-Olmos, Miguel; Dias, Maria. "Nonlinear Stability of Riemann Ellipsoids with Symmetric Configurations". Journal of Nonlinear Science 19 2 (2008): 179-219. http://dx.doi.org/10.1007/s00332-008-9032-z.
    Published • 10.1007/s00332-008-9032-z
  10. Perlmutter, M.; Rodríguez-Olmos, M.; Dias, Maria. "The symplectic normal space of a cotangent-lifted action". Differential Geometry and its Applications 26 3 (2008): 277-297. http://dx.doi.org/10.1016/j.difgeo.2007.11.020.
    10.1016/j.difgeo.2007.11.020
  11. Perlmutter, Matthew; Rodríguez-Olmos, Miguel; Dias, Maria. "On the geometry of reduced cotangent bundles at zero momentum". Journal of Geometry and Physics 57 2 (2007): 571-596. http://dx.doi.org/10.1016/j.geomphys.2006.05.003.
    10.1016/j.geomphys.2006.05.003
  12. Alves, J.F.; Graça, M.M.; Dias, Maria; Sousa Ramos, J.. Corresponding author: Dias, Maria. "A linear algebra approach to the conjecture of Collatz". Linear Algebra and its Applications 394 (2005): 277-289. http://dx.doi.org/10.1016/j.laa.2004.07.008.
    10.1016/j.laa.2004.07.008
  13. Dias, Maria. "Pseudo-Rigid bodies: A geometric Lagrangian approach". Acta Applicandae Mathematicae 70 1/3 (2002): 209-230. http://dx.doi.org/10.1023/a:1013982416930.
    Published • 10.1023/a:1013982416930
  14. Roberts, R M; Dias, Maria. "Bifurcations from relative equilibria of Hamiltonian systems". Nonlinearity 10 6 (1997): 1719-1738. http://dx.doi.org/10.1088/0951-7715/10/6/015.
    10.1088/0951-7715/10/6/015
Online resource
  1. Dias, Maria. Álgebra Linear. 2019. https://www.math.tecnico.ulisboa.pt/~edias/TextosNet/ALbookfin_Net.pdf.