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Professor of mathematics at the Department of Mathematics at the University of Coimbra, where I have taught for over twenty years at Delfos, a school dedicated to high school students with exceptional talent for mathematics, of which I was co-founder. My research activity is carried out in analysis, at the Mathematics Center of the University of Coimbra, and I practice two hobies: the dissemination of mathematics and its basic teaching. I supervised 5 doctoral theses, 7 master theses, I have two books as editor, more than 60 research articles in the area of Analysis, 20 texts on History and Mathematics Methodology, and I participated in several international projects as main researcher. I organized International Mathematics Congresses and Courses, I was President of the DMUC Pedagogical Committee and President of the DMUC Teaching Resources Committee. João Farinha medals from DMUC in 1989 and gold medals from Figueira de Castelo Rodrigo City Council in 1994. Vice-President of the Aveiro Tennis Club in 2007-08.
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Identification

Personal identification

Full name
Amílcar José Pinto Lopes Branquinho

Citation names

  • Branquinho, Amílcar

Author identifiers

Ciência ID
4D14-4372-DACE
ORCID iD
0000-0003-4685-1583
Researcher Id
M-3511-2013
Scopus Author Id
6602396069

Email addresses

  • ajplb@mat.uc.pt (Professional)

Telephones

Telephone
  • 239791150 (Professional)

Addresses

  • Departamento de Matemática da Faculdade de Ciências e Tecnologia da Universidade de Coimbra, Largo D. Dinis , 3000-143 , Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Spanish; Castilian Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
French Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
1996
Concluded
 Doutoramento em Matemática, Área de Especialização em Matemática Pura (Doutoramento)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Problemas Inversos na Teoria dos Polinómios Ortogonais" (THESIS/DISSERTATION)
 Aprovado por unanimidade com distinção e louvor
1993
Concluded
 Mestrado em Matemática, Área de Especialização em Física (Mestrado)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Polinómios Ortogonais e Funcionais de Momentos: Problemas Inversos" (THESIS/DISSERTATION)
 Muito Bom
1989
Concluded
 Licenciatura em Matemática (Licenciatura)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"n/a" (THESIS/DISSERTATION)
 16/20
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2005/09 - Current Associate Professor (University Teacher) Universidade de Coimbra, Portugal
1996/11 - 2005/09 Assistant Professor (University Teacher) Universidade de Coimbra, Portugal
1993/03 - 1996/11 Assistant (University Teacher) Universidade de Coimbra, Portugal
1989/11 - 1993/03 Trainee Assistant (University Teacher) Universidade de Coimbra, Portugal
1988/10/01 - 1989/11 Tutor (University Teacher) Universidade de Coimbra, Portugal
Projects

Grant

Designation Funders
2020/03/01 - 2021/12/15 Conexiones entre Polinomios Ortogonales Multivariados y Sistemas Integrables. Aproximación teórica y numérica.
PRX19/00184
Invited Scientist Fellow
España Ministerio de Ciencia e Innovación
Concluded
2013/02/01 - 2015/01/31 Sobolev-type and Matrix Orthogonal Polynomials: Connections, Relations and Applications
SFRH/BPD/91841/2012
Supervisor
Universidade de Coimbra Centro de Matemática, Portugal
Concluded
2009/09/01 - 2012/08/31 Simultaneous Rational Approximation and Applications
SFRH/BPD/62947/2009
Supervisor
Universidade de Coimbra Centro de Matemática, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Concluded
2008/09/01 - 2012/08/31 Aplicações dos Polinómios Ortogonais sobre a Circunferência Unitária à Teoria Construtiva da Aproximação e a Problemas de Riemann-Hilbert
SFRH/BPD/45321/2008
Supervisor
Concluded
2008/09/01 - 2009/07/31 Bolsa de Iniciação à Investigação
BII/FCTUC/C2008/CMUC
Supervisor
Universidade de Coimbra Centro de Matemática, Portugal
Concluded
2005/09/01 - 2008/08/31 Ortogonalidade Múltipla
PRODEP 5.3/C/00187.010/03
Supervisor
Instituto Politécnico de Leiria, Portugal

Universidade de Coimbra, Portugal
Concluded
2005/09/01 - 2008/08/31 Propriedades Analíticas de Sistemas de Polinómios Ortogonais Relativamente a Formas Diferenciais
PRAXIS XXI SFRH/BD/25426/2005
Supervisor
Universidade de Coimbra, Portugal

Fundação para a Ciência e a Tecnologia, Portugal
Concluded
2001/07/01 - 2002/06/30 ORTOGONALIDADE E APROXIMAÇÃO
SFRH/BPD/5600/2001
Post-doc Fellow
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
1999/09/01 - 2000/08/31 Aplicações dos Polinómios Ortogonais à Teoria de Operadores
FMRH/ BSAB/109/99
Post-doc Fellow
Universidade de Coimbra, Portugal

Fundação para a Ciência e a Tecnologia, Portugal
Concluded
1999/09/01 - 2000/08/31 Teoria de Momentos, Propriedades Assimptóticas e Zeros de Polinómios Ortogonais Relativamente a Produtos Não-Standard
PRAXIS XXI BCC-22201/99
Invited Scientist Fellow
Universidade de Coimbra, Portugal

Fundação para a Ciência e a Tecnologia, Portugal
Concluded
1998/07/01 - 1999/01/31 APLICAÇÕES DA ANÁLISE COMPLEXA À TEORIA DA APROXIMAÇÃO, À TEORIA DE OPERADORES E AOS SISTEMAS DINÂMICOS
PRAXIS XXI/BCC/16432/98
Invited Scientist Fellow
Fundação para a Ciência e a Tecnologia
Concluded
1993/09/01 - 1996/08/31 Problemas Inversos na Teoria dos Polinómios Ortogonais
Ciência-BD/2654/93/RM
PhD Student Fellow
Universidade de Coimbra, Portugal
Concluded

Contract

Designation Funders
2022/01/01 - Current Ortogonalidad y aproximación con aplicaciones en machine learning y teoría de la probabilidad
PID2021- 122154NB-I00
Researcher
Universidad de Cádiz Escuela Internacional de Doctorado en Estudios del Mar, Spain
 España Ministerio de Ciencia e Innovación
Ongoing
2020/01/01 - 2023/12/31 Centro de Matemática da Universidade de Coimbra
UIDB/00324/2020
10.54499/UIDB/00324/2020
Researcher
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2021/07/01 - 2023/06/30 Perspectivas Teóricas y Prácticas de la Ortogonalidad
A-FQM-246-UGR20
Researcher
Universidad de Granada, Spain
Concluded
2019/01/01 - 2022/12/31 Polinomios Ortogonales Multivariados. Aspectos Teóricos y Aplicaciones Científicas
PGC2018-094932-B-I00
Researcher
Universidad de Granada, Spain
Concluded
2019/01/01 - 2019/12/31 Centro de Matemática da Universidade de Coimbra
UID/MAT/00324/2019
Researcher
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Center for Mathematics, University of Coimbra
UID/MAT/00324/2019
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/01/01 - 2018/12/31 UID/MAT/00324/2013
UID/MAT/00324/2013
Researcher
Universidade de Coimbra Centro de Matemática, Portugal

Universidade de Coimbra, Portugal
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 324 - 2011-2012
PEst-C/MAT/UI0324/2011
Researcher
Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010/01/01 - 2012/12/31 Teoria da Aproximação e Sistemas Integráveis
Acção Integrada Luso-Espanhola, n. E-4/10
Co-Principal Investigator (Co-PI)
Universidade de Coimbra Centro de Matemática, Portugal

Universidad Politécnica de Madrid - Campus de Montegancedo, Spain
Concluded
2004/09/01 - 2007/08/31 INTAS Network on Constructive Complex Approximation
INTAS
Researcher
Concluded
2001/09/01 - 2004/08/31 Orthogonal Polynomials and Special Functions
29242-IC1-2001-PT-ERASMUS-IP-13
Principal investigator
Universidade de Coimbra, Portugal
Concluded
2001/09/01 - 2003/08/31 Rational approximation of analytic functions and its applications to the spectral theory of difference operators, non-linear dynamical systems, special functions, and number theory
INTAS
Co-Principal Investigator (Co-PI)
Concluded
1996/09/01 - 1997/08/31 Acordo Cultural Luso-Austríaco
423/Austria da JNICT
Co-Principal Investigator (Co-PI)
Universidade de Coimbra, Portugal
Concluded
Outputs

Publications

Book
  1. E.M. Sá; Branquinho, Amílcar; A. Gonçalves. Olimpíadas de Matemática da Lusofonia, Banco de Problemas, Enunciados e Respostas. Portugal: DMUC. 2011.
    Published
  2. Branquinho, A.; Foulquié Moreno, A.. Coimbra lecture notes on orthogonal polynomials. Nova Science Publisher. 2008.
    Published • Editor
Book chapter
  1. Branquinho, A.; Huertas, E.J.. "The Symmetrization Problem for Multiple Orthogonal Polynomials". In Orthogonal Polynomials: Current Trends and Applications. 2021.
    Published • 10.1007/978-3-030-56190-1_2
  2. Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas-Baena, Manuel. "Riemann-Hilbert problem and matrix biorthogonal polynomials". In Orthogonal Polynomials: Current Trends and Applications. Springer, 2021.
    Published • 10.1007/978-3-030-56190-1_1
  3. Branquinho, Amílcar; Huertas, Edmundo J.; Rafaeli, Fernando R.. "Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures". In Computational Science and Its Applications – ICCSA 2014, 44-59. Springer International Publishing, 2014.
    Published • 10.1007/978-3-319-09144-0_4
  4. Branquinho, Amílcar. "The Christoffel-Darboux identity for matrix orthonormal polynomials". In The Sampaio Martins Anniversary Volum, edited by António J G Bento; António Caetano; Júlio Neves, 33-36. Textos de Matemática, Série B, Departamento de Matemática da Universidade de Coimbra, 2004.
    Published
  5. Branquinho, Amílcar; Francisco Marcellán. "Some inverse problems for second order structure relations". In Approximation and Optimization, edited by J. Guddat, 129-146. Peter Lang, European Science Publishers, Frankfurt, 1995.
    Published
Journal article
  1. Amílcar Branquinho; Juan Díaz; Ana Foulquié-Moreno; Manuel Mañas. "Hypergeometric expressions for type I Jacobi–Piñeiro orthogonal polynomials with arbitrary number of weights". Proceedings of the American Mathematical Society, Series B 11 19 (2024): 200–210-200–210. http://dx.doi.org/10.1090/bproc/225.
    10.1090/bproc/225
  2. Amílcar Branquinho; Juan E.F. Díaz; A. Foulquié Moreno; Manuel Mañas. "Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials". Linear Algebra and its Applications (2024): http://dx.doi.org/10.1016/j.laa.2024.03.033.
    10.1016/j.laa.2024.03.033
  3. Amílcar Branquinho; Ana Foulquié-Moreno; Teresa E. Perez; Miguel A. Piñar. "Lax-type pairs in the theory of bivariate orthogonal polynomials". Linear Algebra and its Applications (2024): http://dx.doi.org/10.1016/j.laa.2024.03.020.
    10.1016/j.laa.2024.03.020
  4. Branquinho, Amílcar; Díaz, Juan E. F.; Foulquié-Moreno, Ana; Mañas, Manuel; Álvarez-Fernández, Carlos. "Jacobi-Piñeiro Markov chains". Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118 1 (2024): http://dx.doi.org/10.1007/s13398-023-01510-x.
    Open access • 10.1007/s13398-023-01510-x
  5. Branquinho, Amílcar; Foulquié-Moreno, Ana; Fradi, Assil; Mañas, Manuel. "Matrix Jacobi biorthogonal polynomials via Riemann-Hilbert problem". Proceedings of the American Mathematical Society 152 1 (2024): 193-208. http://dx.doi.org/10.1090/proc/16431.
    10.1090/proc/16431
  6. Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel. "Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials". Advances in Mathematics 434 (2023): 109313. http://dx.doi.org/10.1016/j.aim.2023.109313.
    Open access • 10.1016/j.aim.2023.109313
  7. Branquinho, Amílcar; Díaz, Juan E.F.; Foulquié-Moreno, Ana; Mañas, Manuel. "Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions". Journal of Mathematical Analysis and Applications 528 1 (2023): 127471. http://dx.doi.org/10.1016/j.jmaa.2023.127471.
    Open access • Published • 10.1016/j.jmaa.2023.127471
  8. Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel. "Positive bidiagonal factorization of tetradiagonal Hessenberg matrices". Linear Algebra and its Applications 677 (2023): 132-160. http://dx.doi.org/10.1016/j.laa.2023.08.001.
    Open access • Published • 10.1016/j.laa.2023.08.001
  9. Branquinho, Amílcar; FoulquiéMoreno, Ana; Mañas, Manuel. "Oscillatory banded Hessenberg matrices, multiple orthogonal polynomials and Markov chains". Physica Scripta 98 10 (2023): 105223. http://dx.doi.org/10.1088/1402-4896/ace93d.
    Open access • 10.1088/1402-4896/ace93d
  10. Aktas, Rabia; Branquinho, Amílcar; Foulquié-Moreno, Ana; Xu, Yuan. "Monomial and Rodrigues orthogonal polynomials on the cone". Journal of Mathematical Analysis and Applications 522 2 (2023): 126977. http://dx.doi.org/10.1016/j.jmaa.2022.126977.
    Open access • Published • 10.1016/j.jmaa.2022.126977
  11. Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel. "Bidiagonal factorization of tetradiagonal matrices and Darboux transformations". Analysis and Mathematical Physics 13 3 (2023): http://dx.doi.org/10.1007/s13324-023-00801-1.
    Open access • Published • 10.1007/s13324-023-00801-1
  12. Branquinho, Amílcar; Foulquié-Moreno, Ana; Pérez, Teresa E.. "Quadratic Decomposition of Bivariate Orthogonal Polynomials". Mediterranean Journal of Mathematics 20 3 (2023): http://dx.doi.org/10.1007/s00009-023-02307-3.
    Open access • Published • 10.1007/s00009-023-02307-3
  13. Branquinho, Amilcar; Diaz, Juan E F; Foulquie-Moreno, Ana; Manas, Manuel. "Hypergeometric Expressions for Type I Jacobi-Piñeiro Orthogonal Polynomials with Arbitrary Number of Weights". ArXiv (2023): https://publons.com/wos-op/publon/68200981/.
  14. Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel. "Multiple orthogonal polynomials: Pearson equations and Christoffel formulas". Analysis and Mathematical Physics 12 6 (2022): http://dx.doi.org/10.1007/s13324-022-00734-1.
    Open access • Published • 10.1007/s13324-022-00734-1
  15. Branquinho, Amílcar; Moreno, Ana Foulquié; Fradi, Assil; Mañas, Manuel. "Riemann-Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV". Mathematics 10 8 (2022): 1205. http://dx.doi.org/10.3390/math10081205.
    Open access • Published • 10.3390/math10081205
  16. Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel. "Matrix biorthogonal polynomials: Eigenvalue problems and non-Abelian discrete Painlevé equations". Journal of Mathematical Analysis and Applications 494 2 (2021): 124605. http://dx.doi.org/10.1016/j.jmaa.2020.124605.
    Open access • Published • 10.1016/j.jmaa.2020.124605
  17. Branquinho, Amílcar; Foulquié Moreno, A.; García-Ardila, J.C.. "Matrix Toda and Volterra lattices". Applied Mathematics and Computation 365 (2020): 124722-124722. https://doi.org/10.1016/j.amc.2019.124722.
    10.1016/j.amc.2019.124722
  18. Branquinho, Amílcar; Garcia-Ardila, J.C.; Marcellâan, F.; Branquinho, Amilcar; García-Ardila, Juan Carlos; Marcellán, Francisco; García-Ardila, J.C.; Marcellán, F.. "Ratio Asymptotics for Biorthogonal Matrix Polynomials with Unbounded Recurrence Coefficients". Applicable Analysis and Discrete Mathematics 14 3 (2020): 754-774. http://www.scopus.com/inward/record.url?eid=2-s2.0-85100403753&partnerID=MN8TOARS.
    Published • 10.2298/AADM190225051B
  19. Branquinho, Amílcar; Chen, Y.; Filipuk, G.; Rebocho, M.N.. "A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices". Applied Mathematics and Computation 334 (2018): 356-366. http://www.scopus.com/inward/record.url?eid=2-s2.0-85046753126&partnerID=MN8TOARS.
    Published • 10.1016/j.amc.2018.04.022
  20. Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E.. "Orthogonal Polynomial Interpretation of q-Toda and q-Volterra Equations". Bulletin of the Malaysian Mathematical Sciences Society 41 1 (2018): 393-414. http://www.scopus.com/inward/record.url?eid=2-s2.0-85043366618&partnerID=MN8TOARS.
    Published • 10.1007/s40840-016-0305-7
  21. Branquinho, Amílcar; Foulquié Moreno, A.; Mendes, A.. "Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials". Integral Transforms and Special Functions 28 1 (2017): 74-90. http://www.scopus.com/inward/record.url?eid=2-s2.0-84994876212&partnerID=MN8TOARS.
    Published • 10.1080/10652469.2016.1250082
  22. Njinkeu Sandjon, Marlyse; Branquinho, Amílcar; Foupouagnigni, Mama; Area, Iván. "Characterizations of classical orthogonal polynomials on quadratic lattices". Journal of Difference Equations and Applications 23 6 (2017): 983-1002. http://hdl.handle.net/10316/43909.
    Published • 10.1080/10236198.2017.1307972
  23. Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E.. "Characterizations of ¿-Volterra lattice: A symmetric orthogonal polynomials interpretation". Journal of Mathematical Analysis and Applications 433 1 (2016): 243-259. http://dx.doi.org/10.1016/j.jmaa.2015.07.051.
    Published • 10.1016/j.jmaa.2015.07.051
  24. Area, I; Branquinho, Amílcar; Moreno, A Foulquié; Godoy, E. "Orthogonal polynomial interpretation of ¿-Toda equations". Journal of Physics A: Mathematical and Theoretical 48 40 (2015): 405206. http://dx.doi.org/10.1088/1751-8113/48/40/405206.
    Published • 10.1088/1751-8113/48/40/405206
  25. Branquinho, Amílcar; Foulquié Moreno, A.; Paiva, A.; Rebocho, Maria das Neves. "Second order differential equations in the Laguerre-Hahn class". Applied Numerical Mathematics 94 (2015): 16-32. http://dx.doi.org/10.1016/j.apnum.2015.03.002.
    Published • 10.1016/j.apnum.2015.03.002
  26. Branquinho, Amílcar; Rebocho, M.N.. "Characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices". Journal of Mathematical Analysis and Applications 427 1 (2015): 185-201. http://www.scopus.com/inward/record.url?eid=2-s2.0-84924038476&partnerID=MN8TOARS.
    Published • 10.1016/j.jmaa.2015.02.044
  27. Branquinho, Amílcar; Rebocho, M.N.. "Deformed Laguerre-Hahn orthogonal polynomials on the real line". Applied Mathematics and Computation 233 (2014): 359-368. http://www.scopus.com/inward/record.url?eid=2-s2.0-84894675815&partnerID=MN8TOARS.
    Published • 10.1016/j.amc.2014.02.019
  28. Branquinho, Amílcar; Fidalgo Prieto, Ulises; Foulquie Moreno, Ana. "An extension of Markov's Theorem". Proceedings of the American Mathematical Society 142 10 (2014): 3491-3503. http://hdl.handle.net/10773/13487.
    Published • 10.1090/S0002-9939-2014-12078-8
  29. Branquinho, Amílcar; Paiva, A.; Rebocho, M.N.. "Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line". Applied Mathematics and Computation 219 17 (2013): 9118-9131. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876568416&partnerID=MN8TOARS.
    Published • 10.1016/j.amc.2013.03.083
  30. Barrios Rolanía, Dolores; Branquinho, Amílcar; Foulquié Moreno, Ana. "On the full Kostant Toda system and the discrete Korteweg-de Vries equations". Journal of Mathematical Analysis and Applications 401 2 (2013): 811-820. http://hdl.handle.net/10316/43845.
    Published • https://doi.org/10.1016/j.jmaa.2012.12.050
  31. Branquinho, Amílcar; Rebocho, M.N.. "Structure relations for orthogonal polynomials on the unit circle". Linear Algebra and Its Applications 436 11 (2012): 4296-4310. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863314724&partnerID=MN8TOARS.
    Published • 10.1016/j.laa.2012.01.034
  32. Branquinho, Amílcar; Rebocho, M.N.. "On the semi-classical character of orthogonal polynomials satisfying structure relations". Journal of Difference Equations and Applications 18 1 (2012): 111-138. http://www.scopus.com/inward/record.url?eid=2-s2.0-84855419861&partnerID=MN8TOARS.
    Published • 10.1080/10236198.2010.529137
  33. Branquinho, Amílcar; Marcellán, F.; Mendes, A.. "Relative asymptotics for orthogonal matrix polynomials". Linear Algebra and Its Applications 437 7 (2012): 1458-1481. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863986851&partnerID=MN8TOARS.
    Published • 10.1016/j.laa.2012.04.032
  34. Branquinho, Amílcar; Rebocho, M.N.. "Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle". Journal of Physics A: Mathematical and Theoretical 44 46 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-80755187572&partnerID=MN8TOARS.
    Published • 10.1088/1751-8113/44/46/465204
  35. Barrios Rolanía, Dolores; Branquinho, Amílcar; Foulquié Moreno, Ana Pilar. "On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials". Journal of Mathematical Analysis and Applications 377 1 (2011): 228-238. http://hdl.handle.net/10773/8436.
    Published • 10.1016/j.jmaa.2010.10.044
  36. Branquinho, Amílcar; Rebocho, M.N.; Branquinho, A.. "Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle". Bulletin of the Belgian Mathematical Society - Simon Stevin 17 2 (2010): 355-376. http://dx.doi.org/10.36045/bbms/1274896211.
    Published • 10.36045/bbms/1274896211
  37. Barrios Rolanía, D.; Branquinho, Amílcar; Foulquié Moreno, A.. "Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials". Journal of Mathematical Analysis and Applications 361 2 (2010): 358-370. http://dx.doi.org/10.1016/j.jmaa.2009.07.025.
    Published • 10.1016/j.jmaa.2009.07.025
  38. Branquinho, Amílcar; Marcellán, F.; Mendes, A.. "Vector interpretation of the matrix orthogonality on the real line". Acta Applicandae Mathematicae 112 3 (2010): 357-383. http://www.scopus.com/inward/record.url?eid=2-s2.0-78651408954&partnerID=MN8TOARS.
    Published • 10.1007/s10440-010-9577-3
  39. Branquinho, Amílcar; Cotrím, Luís; Foulquié Moreno, Ana Pilar. "Matrix interpretation of multiple orthogonality". Numerical Algorithms 55 1 (2010): 19-37. http://hdl.handle.net/10773/8423.
    Published • 10.1007/s11075-009-9355-3
  40. Barrios Rolanía, D; Branquinho, A.. "Complex high order Toda and Volterra lattices". Journal of Difference Equations and Applications 15 2 (2009): 197-213. http://www.scopus.com/inward/record.url?eid=2-s2.0-57249100785&partnerID=MN8TOARS.
    10.1080/10236190802019491
  41. Branquinho, Amílcar; Rebocho, M.N.. "Distributional equation for Laguerre-Hahn functionals on the unit circle". Journal of Computational and Applied Mathematics 233 3 (2009): 634-642. http://www.scopus.com/inward/record.url?eid=2-s2.0-69649100120&partnerID=MN8TOARS.
    Published • 10.1016/j.cam.2009.02.031
  42. Branquinho, Amílcar; Rebocho, M.N.. "On differential equations for orthogonal polynomials on the unit circle". Journal of Mathematical Analysis and Applications 356 1 (2009): 242-256. http://www.scopus.com/inward/record.url?eid=2-s2.0-63349102175&partnerID=MN8TOARS.
    Published • 10.1016/j.jmaa.2009.03.008
  43. Branquinho, Amílcar; Fidalgo Prieto, Ulises; Moreno, Ana Pilar Foulquie. "Riemann-Hilbert problem associated with Angelesco systems". Journal of Computational and Applied Mathematics 233 3 (2009): 643-651. http://hdl.handle.net/10773/7741.
    Published • 10.1016/j.cam.2009.02.032
  44. Branquinho, Amílcar; Rebocho, M.N.. "Characterizations of Laguerre-Hahn affine orthogonal polynomials on the unit circle". Journal of Computational Analysis and Applications 10 2 (2008): 229-242. http://www.scopus.com/inward/record.url?eid=2-s2.0-45949103683&partnerID=MN8TOARS.
    Published
  45. Branquinho, Amílcar; Foulquie Moreno, Ana Pilar; Marcellán, Francisco; Rebocho, Maria das Neves. "Coherent pairs of linear functionals on the unit circle". Journal of Approximation Theory 153 1 (2008): 122-137. http://hdl.handle.net/10773/8429.
    Published • 10.1016/j.jat.2008.03.003
  46. Aptekarev, A.I.; Branquinho, Amílcar. "Padé approximants and complex high order Toda lattices". Journal of Computational and Applied Mathematics 155 2 (2003): 231-237. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037870341&partnerID=MN8TOARS.
    Published • 10.1016/S0377-0427(02)00866-X
  47. Aptekarev, A.I.; Branquinho, Amílcar; Van Assche, W.. "Multiple orthogonal polynomials for classical weights". Transactions of the American Mathematical Society 355 10 (2003): 3887-3914. http://www.scopus.com/inward/record.url?eid=2-s2.0-0242382112&partnerID=MN8TOARS.
    Published • 10.1090/S0002-9947-03-03330-0
  48. Branquinho, Amílcar; Bustamante, J; Foulquie Moreno, Ana Pilar; López Lagomasino, Guillermo. "Normal indices in Nikishin systems". Journal of Approximation Theory 124 2 (2003): 254-262. http://hdl.handle.net/10773/8442.
    Published • 10.1016/j.jat.2003.09.009
  49. Branquinho, Amílcar; Foulquié Moreno, A.; Marcellán, F.. "Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc". Constructive Approximation 18 2 (2002): 161-182. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036011647&partnerID=MN8TOARS.
    Published • 10.1007/s00365-001-0005-9
  50. Branquinho, Amílcar; Golinskii, L.; Marcellán, F.. "Orthogonal polynomials and rational modifications of lebesgue measure on the unit circle. an inverse problem". Complex Variables and Elliptic Equations 38 2 (1999): 137-154. http://dx.doi.org/10.1080/17476939908815160.
    Published • 10.1080/17476939908815160
  51. Aptekarev, A.I.; Branquinho, Amílcar; Marcellán, F.. "Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation". Journal of Computational and Applied Mathematics 78 1 (1997): 139-160. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031550504&partnerID=MN8TOARS.
    Published • 10.1016/S0377-0427(96)00138-0
  52. Branquinho, Amílcar. "Contribuições de Vicente Gonçalves na teoria dos polinómios ortogonais". Boletim da Sociedade Portuguesa de Matemática 37 (1997): 17-20. http://hdl.handle.net/10316/12929.
    Published
  53. Branquinho, Amílcar; Ana Foulquié Moreno; Francisco Marcellán. "On inverse problems for orthogonal polynomials satisfying a differential-difference equation". Facta Universitatis, Series: Mathematics and Informatics 12 (1997): 87-108.
    Published
  54. Branquinho, Amílcar; Marcellán, F.. "Generating New Classes of Orthogonal Polynomials". International Journal of Mathematics and Mathematical Sciences 19 4 (1996): 643-656. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001123472&partnerID=MN8TOARS.
    Published • 10.1155/S0161171296000919
  55. Branquinho, Amílcar. "A note on semi-classical orthogonal polynomials". Bulletin of the Belgian Mathematical Society - Simon Stevin 3 1 (1996): 1-12. http://www.scopus.com/inward/record.url?eid=2-s2.0-0009355970&partnerID=MN8TOARS.
    Published
  56. Marcellán, F.; Branquinho, Amílcar; Petronilho, J.. "Classical orthogonal polynomials: A functional approach". Acta Applicandae Mathematicae 34 3 (1994): 283-303. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000672705&partnerID=MN8TOARS.
    Published • 10.1007/BF00998681
  57. Marcellán, F.; Branquinho, Amílcar; Petronilho, J.. "On inverse problems for orthogonal polynomials, I". Journal of Computational and Applied Mathematics 49 1-3 (1993): 153-160. http://www.scopus.com/inward/record.url?eid=2-s2.0-0039752946&partnerID=MN8TOARS.
    Published • 10.1016/0377-0427(93)90146-3
Magazine article
  1. Branquinho, Amílcar; Jorge Sentieiro Neves. "A desigualdade de Karamata", Gazeta de Matemática, 2018, https://gazeta.spm.pt/fichaartigo?id=1460.
  2. Branquinho, Amílcar. "Arquimedes, uma mente brilhante", Gazeta de Matemática, 2017, http://gazeta.spm.pt/fichaartigo?id=1393.
  3. Branquinho, Amílcar. "Uma história interminável ", Gazeta de Matemática, 2017, http://gazeta.spm.pt/fichaartigo?id=1407.
  4. Branquinho, Amílcar. "Uma desigualdade fundamental", Gazeta de Matemática, 2012, http://gazeta.spm.pt/fichaartigo?id=380.
  5. Branquinho, Amílcar. "À procura da harmonia", Gazeta de Matemática, 2012, http://gazeta.spm.pt/fichaartigo?id=351.
  6. Branquinho, Amílcar. "Tomografia de papel", Gazeta de Matemática, 2011, http://gazeta.spm.pt/fichaartigo?id=329.
  7. Kovacec, A.; Branquinho, Amílcar. "Construções sem régua", Gazeta de Matemática, 2010, http://gazeta.spm.pt/fichaartigo?id=300.
  8. Kovacec, A.; Branquinho, Amílcar. "Coordenadas Trilineares e Baricêntricas", Gazeta de Matemática 160, 2010, http://gazeta.spm.pt/fichaartigo?id=273.
  9. Kovacec, A.; Branquinho, Amílcar. "Máquinas de Turing", Gazeta de Matemática 159 (2009), 19-21, 2009, http://gazeta.spm.pt/fichaartigo?id=259.
  10. Kovacec, A.; Branquinho, Amílcar. "O Esférico...", Gazeta de Matemática, 2009, http://gazeta.spm.pt/fichaartigo?id=230.
  11. Kovacec, Alexander; Branquinho, Amílcar. "A Toalha da Sorte", Gazeta de Matemática, 2009, https://gazeta.spm.pt/fichaartigo?id=244.
  12. Kovacec, Alexander; Branquinho, Amílcar; Jorge Sentieiro Neves; Sá, E. M.; Salgueiro, A.. "O Pentagrama...", Gazeta de Matemática, 2008, https://gazeta.spm.pt/fichaartigo?id=219.
  13. Kovacec, Alexander; Branquinho, Amílcar; Sá, E M; Salgueiro, A.; Jorge Sentieiro Neves. "Balanças e Alavancas", Gazeta de Matemática, 2008, https://gazeta.spm.pt/fichaartigo?id=207.
  14. Kovacec, Alexander; Branquinho, Amílcar; Jorge Sentieiro Neves; Sá, EM; Salgueiro, A.. "Escola de Matemática para Jovens, Projecto Delfos", Rua Larga (Revista da Reitoria da Universidade de Coimbra) , 2008, https://www.uc.pt/site/assets/files/1114390/rl_22.pdf.
  15. Kovacec, Alexander; Branquinho, Amílcar; Sá, EM. "Projecto Delfos. Escola de Matemática para Jovens", Boletim da APDIO, 2003, https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&ved=2ahUKEwifoMmv0qmEAxXyhv0HHYgrBW8QFnoECA4QAQ&url=http%3A%2F%2Fapdio.pt%2Fdocuments%2F10180%2F16684%2FBoletim38.pdf&usg=AOvVaw01yHNFhYicrXDbdR7ZpVMD&opi=89978449.
  16. Kovacec, Alexander; Branquinho, Amílcar; Sá, EM. "Projecto Delfos Escola de Matemática para Jovens, texto de fundação e genérico", 2001, http://www.mat.uc.pt/~ajplb/anuncio.pdf.
  17. Branquinho, Amílcar. "Two unknown works of José Vicente Gonçalves 1896-1985", SIAM Activity Group on Orthogonal Polynomials and Special Functions Newsletter, 1995
Thesis / Dissertation
  1. Branquinho, Amílcar José Pinto Lopes. "Problemas Inversos na Teoria dos Polinómios Ortogonais". PhD, 1996. http://hdl.handle.net/10316/12928.
  2. Branquinho, Amílcar José Pinto Lopes; Marcellán, Francisco. "Polinómios ortogonais e funcionais de momentos: problemas inversos". Master, 1993. http://hdl.handle.net/10316/20653.

Other

Other output
  1. BANDED TOTALLY POSITIVE MATRICES AND NORMALITY FOR MIXED MULTIPLE ORTHOGONAL POLYNOMIALS. 2024. Branquinho, A.; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85192575437&partnerID=MN8TOARS.
    10.48550/arXiv.2404.13965
  2. CLASSICAL MULTIPLE ORTHOGONAL POLYNOMIALS FOR ARBITRARY NUMBER OF WEIGHTS AND THEIR EXPLICIT REPRESENTATION. 2024. Branquinho, A.; Díaz, J.E.F.; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85192542959&partnerID=MN8TOARS.
    10.48550/arXiv.2404.13958
  3. Semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective. 2024. Branquinho, A.; Foulquié-Moreno, A.; Rampazzi, K.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85197584411&partnerID=MN8TOARS.
    10.48550/arXiv.2406.07290
  4. INTEGRAL AND HYPERGEOMETRIC REPRESENTATIONS FOR MULTIPLE ORTHOGONAL POLYNOMIALS. 2024. Branquinho, A.; Díaz, J.E.F.; Foulquié-Moreno, A.; Mañas, M.; Wolfs, T.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85200668516&partnerID=MN8TOARS.
    10.48550/arXiv.2407.15001
  5. CLASSICAL DISCRETE MULTIPLE ORTHOGONAL POLYNOMIALS: HYPERGEOMETRIC AND INTEGRAL REPRESENTATIONS. 2024. Branquinho, A.; Díaz, J.E.F.; Foulquié-Moreno, A.; Mañas, M.; Wolfs, T.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85205960267&partnerID=MN8TOARS.
    10.48550/arXiv.2409.16254
  6. LAX-TYPE PAIRS IN THE THEORY OF BIVARIATE ORTHOGONAL POLYNOMIALS. 2023. Branquinho, Amílcar; Ana Foulquié Moreno; Pérez, T.E.; Piñar, M.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85177865335&partnerID=MN8TOARS.
    10.48550/arXiv.2311.05949
  7. Matrix orthogonal polynomials: A Riemann-Hilbert approach. 2023. Branquinho, Amílcar; Foulquie Moreno, Ana; Fradi, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85163778640&partnerID=MN8TOARS.
  8. Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials. 2023. Branquinho, Amílcar; Juan E. F. Díaz; Ana Foulquié Moreno; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85168749297&partnerID=MN8TOARS.
    10.48550/arXiv.2308.01288
  9. MARKOV CHAINS AND MULTIPLE ORTHOGONALITY. 2023. Branquinho, Amílcar; Juan E. F. Díaz; Ana Foulquié Moreno; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85153850076&partnerID=MN8TOARS.
    10.48550/arXiv.2304.04414
  10. FINITE MARKOV CHAINS AND MULTIPLE ORTHOGONAL POLYNOMIALS. 2023. Branquinho, Amílcar; Díaz, J.E.F.; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85168639124&partnerID=MN8TOARS.
    10.48550/arXiv.2308.00182
  11. HYPERGEOMETRIC EXPRESSIONS FOR TYPE I JACOBI–PIÑEIRO ORTHOGONAL POLYNOMIALS WITH ARBITRARY NUMBER OF WEIGHTS. 2023. Branquinho, Amílcar; Juan E. F. Díaz; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85175681058&partnerID=MN8TOARS.
    10.48550/arXiv.2310.18294
  12. BANDED MATRICES AND THEIR ORTHOGONALITY. 2023. Branquinho, Amílcar; Ana Foulquié Moreno; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85166524735&partnerID=MN8TOARS.
  13. QUADRATIC DECOMPOSITION OF BIVARIATE ORTHOGONAL POLYNOMIALS. 2022. Branquinho, Amílcar; Moreno, A.F.; Pérez, T.E.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85171208246&partnerID=MN8TOARS.
    10.48550/arxiv.2202.09575
  14. SPECTRAL THEORY FOR BOUNDED BANDED MATRICES WITH POSITIVE BIDIAGONAL FACTORIZATION AND MIXED MULTIPLE ORTHOGONAL POLYNOMIALS. 2022. Branquinho, Amílcar; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85144951231&partnerID=MN8TOARS.
    10.48550/arXiv.2212.10235
  15. Oscillatory banded Hessenberg matrices, multiple orthogonal polynomials and random walks. 2022. Branquinho, Amílcar; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85131912874&partnerID=MN8TOARS.
    10.48550/arXiv.2203.13578
  16. POSITIVE BIDIAGONAL FACTORIZATION OF TETRADIAGONAL HESSENBERG MATRICES. 2022. Branquinho, Amílcar; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85141634052&partnerID=MN8TOARS.
    10.48550/arXiv.2210.10728
  17. HAHN MULTIPLE ORTHOGONAL POLYNOMIALS OF TYPE I: HYPERGEOMETRICAL EXPRESSIONS. 2022. Branquinho, Amílcar; Díaz, J.E.F.; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85145281149&partnerID=MN8TOARS.
    10.48550/arXiv.2212.11923
  18. On multiple orthogonal polynomials on the step-line. 2021. Branquinho, Amílcar; Moreno, F.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85112093717&partnerID=MN8TOARS.
  19. Multiple orthogonal polynomials and random walks. 2021. Branquinho, Amílcar; Foulquié-Moreno, A.; Mañas, M.; Álvarez-Fernández, C.; Fernández-Díaz, J.E.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106117359&partnerID=MN8TOARS.
    10.48550/arxiv.2103.13715
  20. Hypergeometric multiple orthogonal polynomials and random walks. 2021. Branquinho, Amílcar; Fernández-Díaz, J.E.; Foulquié-Moreno, A.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85110991352&partnerID=MN8TOARS.
    10.48550/arxiv.2107.00770
  21. Riemann-hilbert problem for the matrix laguerre biorthogonal polynomials: Eigenvalue problems and the matrix discrete painlevé iv. 2019. Branquinho, Amílcar; Moreno, A.F.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094291716&partnerID=MN8TOARS.
    10.48550/arxiv.1907.03156
  22. Matrix biorthogonal polynomials: Eigenvalue problems and non-abelian discrete painlevÉ equations. A Riemann-Hilbert problem perspective. 2018. Branquinho, Amílcar; Moreno, F.; Mañas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85092977022&partnerID=MN8TOARS.
    10.48550/arxiv.1807.07119
  23. MATRIX BIORTHOGONAL POLYNOMIALS, ASSOCIATED POLYNOMIALS AND FUNCTIONS OF THE SECOND KIND. 2017. Branquinho, Amílcar; García-Ardila, J.C.; Marcellán, F.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093063975&partnerID=MN8TOARS.
    10.48550/arxiv.1708.01637
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2020/09 - 2023/10 Riemann-Hilbert problems in the theory of matrix orthogonal polynomials
Co-supervisor of Assil Fradi
 Doutoramento em Matemática (PhD)
Universidade de Aveiro Departamento de Matemática, Portugal

Université de Sousse, Tunisia
2019/09 - 2020/12 A Teoria de Polinómios Ortogonais na Análise Transitória de Processos de Nascimento e Morte
Co-supervisor of Pedro Rafael de Matos Conde
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2017/09/01 - 2017/12/01 Aplicações da Ortogonalidade Matricial a Sistemas Integráveis
Supervisor of Juan Carlos García Ardila
 bolsa CMUC, ref. DPA 17-609 (Degree)
Universidade de Coimbra Centro de Matemática, Portugal
2017/03/01 - 2017/05/31 Ortogonalidade Matricial
Supervisor of Juan Carlos García Ardila
 Doutoramento em Matemática (Specialization course)
Universidad Carlos III de Madrid - Campus de Leganés, Spain

Universidade de Coimbra Centro de Matemática, Portugal
2013/05/01 - 2013/07/29 Aplicações da Ortogonalidade Matricial
Supervisor of María Francisca Pérez Valero
 Doutoramento em Matemática (Specialization course)
Universidad Carlos III de Madrid - Campus de Leganés, Spain

Universidade de Coimbra Centro de Matemática, Portugal
2007/09 - 2011/07 Polinómios ortogonais do tipo Laguerre-Hahn na recta real
Supervisor of Anabela Monteiro de Paiva
 Doutoramento em Matemática (PhD)
Universidade da Beira Interior, Portugal
2007/09 - 2010/06 Ortogonalidade matricial: Caso não-simétrico
Co-supervisor of Ana Isabel Gonçalves Mendes
 Doutoramento em Matemática (PhD)
Universidade de Coimbra Departamento de Matemática, Portugal
2008/09 - 2009/07 Ortogonalidade Matricial e Aplicações
Supervisor of Joel Moreira
 Iniciação à Investigação (Scientific initiation)
Universidade de Coimbra Departamento de Matemática, Portugal
2006/09 - 2009/05 Sucessões de polinómios ortogonais múltiplos para índices quase-diagonais
Supervisor of Luis Manuel da Silva Cotrim
 Doutoramento em Matemática (PhD)
Universidade de Coimbra Departamento de Matemática, Portugal
2005/07 - 2008/07 Polinómios ortogonais do tipo Laguerre-Hahn sobre a circunferência unitária
Supervisor of Maria das Neves Vieiro Rebocho
Doutoramento em Matemática (PhD)
Universidade de Coimbra Departamento de Matemática, Portugal
2004/09 - 2005/09 Uma abordagem à teoria analítica de números: das fracções contínuas aos aproximantes de Padé
Supervisor of Alexandra Nascimento
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2003/09 - 2004/06 Uma abordagem à teoria de funções
Supervisor of Elisabete Sousa
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2001/09 - 2002/12 Polinómios Ortogonais Tipo Pollaczek
Supervisor of Anabela Monteiro de Paiva
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2001/09 - 2002/03 Geração Semi-Clássica de Famílias de Polinómios Ortogonais
Supervisor of Ana Isabel Gonçalves Mendes
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2000/09 - 2001/07 Teoria de Momentos e Polinómios Ortogonais
Supervisor of Maria das Neves Vieiro Rebocho
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2000/09 - 2001/07 Polinómios Ortogonais de Uma e Duas Variáveis
Supervisor of Mário António Grande Abrantes
 Mestrado em Matemática (Master)
Universidade de Coimbra Departamento de Matemática, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/06/12 - 2023/06/16 ILAS Minisymposia on Orthogonal Polynomials, matrix analysis and applications (2023/06/12 - 2023/06/16)
Conference (Member of the Scientific Committee)
 Universidad Politécnica de Madrid, Spain
2002/05 - 2014/06 Organização e planificação de estágios Delfos (2002/05 - 2014/06)
Workshop (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2009/04/17 - 2009/04/18 11th Workshop Applications and Generalizations of Complex Analysis (2009/04/17 - 2009/04/18)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2009/04/13 - 2009/04/16 14th Intensive Course on Complex Analysis (2009/04/13 - 2009/04/16)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2006/09/12 - 2006/09/13 CMUC Workshop (2006/09/12 - 2006/09/15)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2006/06/26 - 2006/07/07 12th Intensive Course on Complex Analysis (2006/06/26 - 2006/07/07)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2006/07/01 - 2006/07/01 9th Workshop on Applications and Generalizations of Complex Analysis (2006/07/01 - 2006/07/01)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2005/06/04 - 2005/06/04 8th Workshop on Applications and Generalizations of Complex Analysis (2005/06/04 - 2005/06/04)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2005/05/23 - 2005/06/03 11th Intensive Course on Complex Analysis (2005/05/23 - 2005/06/03)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2004/07/08 - 2004/07/18 Orthogonal Polynomials and Special Functions, Universidade Carlos III de Madrid, SIAM Activity Group on Orthogonal Polynomials and Special Functions (2004/07/08 - 2004/07/18)
Congress (Member of the Scientific Committee)
 Universidad Carlos III de Madrid - Campus de Leganés, Spain
2004/05/31 - 2004/06/11 10th Intensive Course on Complex Analysis (2004/05/31 - 2004/06/11)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2004/06/04 - 2004/06/05 7th Workshop on Applications and Generalizations of Complex Analysis (2004/06/04 - 2004/06/05)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2003/07/14 - 2003/07/26 Orthogonal Polynomials and Special Functions: Approximation and Iteration, DMUC, SIAM Activity Group on Orthogonal Polynomials and Special Functions (2003/07/14 - 2003/07/26)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal
2003/03/10 - 2003/03/21 9th Intensive Course on Complex Analysis (2003/03/10 - 2003/03/21)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2003/03/15 - 2003/03/15 6th Workshop on Applications and Generalizations of Complex Analysis (2003/03/15 - 2003/03/15)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2001 - 2003 Seminário de Análise (2001 - 2003)
Seminar (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2002/08/12 - 2002/08/16 Orthogonal Polynomials and Special Functions, Leuven, SIAM Activity Group on Orthogonal Polynomials and Special Functions (2002/08/12 - 2002/08/16)
Congress (Member of the Scientific Committee)
 Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2002/03/20 - 2002/03/31 8th Intensive Course on Complex Analysis (2002/03/20 - 2002/03/31)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2002/03/25 - 2002/03/25 5th Workshop on Applications and Generalizations of Complex Analysis (2002/03/25 - 2002/03/25)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2002/02/07 - 2002/02/09 Rational Approximation and its Applications (2002/02/07 - 2002/02/09)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2001/09/17 - 2001/09/23 Orthogonal Polynomials, Approximation, Harmonic Analysis and Applications, Inzell, SIAM Activity Group on Orthogonal Polynomials and Special Functions (2001/09/13 - 2001/09/17)
Congress (Member of the Scientific Committee)
2001/07/03 - 2001/07/05 Two Courses on Orthogonal Polynomials and Special Functions (2001/07/03 - 2001/07/05)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2001/06/25 - 2001/06/29 Computational Methods and Function Theory 2001 (2001/06/25 - 2001/06/29)
Congress (Member of the Organising Committee)
 Universidade de Aveiro Departamento de Matemática, Portugal
2001/03/20 - 2001/03/31 7th Intensive Course on Complex Analysis (2001/03/20 - 2001/03/31)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2001/03/25 - 2001/03/25 4th Workshop on Applications and Generalizations of Complex Analysis (2001/03/25 - 2001/03/25)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2001/03/09 - 2001/03/16 Two Courses on Applications of Complex Analysis (2001/03/09 - 2001/03/16)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2000/11/30 - 2000/12/02 Reunião Ibérica de Polinómios Ortogonais (2000/11/30 - 2000/12/02)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Centro de Matemática, Portugal
2000/10/16 - 2000/10/16 Dia de Polinómios Ortogonais (2000/10/16 - 2000/10/16)
Congress (Member of the Scientific Committee)
 Universidade da Beira Interior Departamento de Matemática, Portugal
2000/03/20 - 2000/03/31 6th Intensive Course on Complex Analysis (2000/03/20 - 2000/03/31)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
2000/03/25 - 2000/03/25 3rd Workshop on Applications and Generalizations of Complex Analysis (2000/03/25 - 2000/03/25)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
1999/03/08 - 1999/03/20 5th Intensive Course on Complex Analysis (1999/03/08 - 1999/03/20)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
1999/03/13 - 1999/03/13 2nd Workshop on Applications and Generalizations of Complex Analysis (1999/03/13 - 1999/03/13)
Congress
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
1998/03/13 - 1998/03/14 Workshop on Applications and Generalizations of Complex Analysis (1998/03/13 - 1998/03/14)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Universidade de Aveiro Departamento de Matemática, Portugal
1997/11/21 - 1997/11/21 Tarde de Polinómios Ortogonais (1997/11/21 - 1997/11/21)
Congress (Member of the Scientific Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Committee member

Activity description
Role 		Institution / Organization
2001 - 2014 Projecto Delfos | Escola de Matemática Para Jovens
Coordinator
 Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Matemática, Portugal
2005 - 2007 Representante dos Professores Doutorados do Departamento de Matemática no Conselho Pedagógico da Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Member
 Universidade de Coimbra, Portugal
2005 - 2007 Presidente da Comissão dos Recursos Lectivos do DMUC
President / Vice-president
 Universidade de Coimbra Departamento de Matemática, Portugal
2005 - 2007 Coordenador da Área de Análise do Centro de Matemática da Universidade de Coimbra
Coordinator
 Universidade de Coimbra Centro de Matemática, Portugal
1996 - 2001 Comissão Científica do Departamento de Matemática da Universidade de Coimbra
Member
 Universidade de Coimbra Departamento de Matemática, Portugal
1998 - 2000 Membro da Comissão dos Recursos Lectivos
Member
 Universidade de Coimbra Departamento de Matemática, Portugal
1997 - 1999 Representante dos Professores Doutorados do Departamento de Matemática no Conselho Pedagógico da Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Member
 Universidade de Coimbra, Portugal
Distinctions

Award

1994 Medalha de Ouro
Câmara Municipal Figueira de Castelo Rodrigo, Portugal
1989 João Farinha
Universidade de Coimbra Departamento de Matemática, Portugal