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Currently (since 2020), Professor Associado, Departamento de Matemática-ECT, Universidade de Évora. Is also a member of CIMA (Centro de Investigação em Matemática e Aplicações, instituto de Investigação e Formação Avançada, Universidade de Évora, Portugal). Her research focuses mainly on monoids and affine semigroups.
Identification

Personal identification

Full name
Manuel Baptista Branco

Citation names

  • M. B. Branco
  • Manuel B. Branco
  • Manuel Baptista Branco

Author identifiers

Ciência ID
9012-9755-3501
ORCID iD
0000-0003-0397-7602

Telephones

Telephone
  • 266745364 (Professional)

Addresses

  • Departamento de Matemática, Universidade de Évora. Rua Romão Ramalho 59, 7000-671, Evora, Evora, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1) Upper intermediate (B2)
Spanish; Castilian Intermediate (B1) Upper intermediate (B2) Elementary (A2) Upper intermediate (B2) Upper intermediate (B2)
Education
Degree Classification
2003/06/15
Concluded
 Matemática (Doutoramento)
Major in Matemática - Álgebra
Universidade de Évora, Portugal
1997/12/13
Concluded
 Provas de Aptidão Pedagógica e Capacidade Científica (Outros)
Major in Matemática
Universidade de Évora Departamento de Matemática, Portugal
 Muito Bom
1991/06/15
Concluded
 Matemática (Licenciatura)
Major in Matemática - Ensino
Universidade dos Açores, Portugal
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2020/05 - Current Associate Professor (University Teacher) Universidade de Évora, Portugal
Universidade de Évora, Portugal
2016 - 2018 Assistant Professor (University Teacher) Universidade de Évora, Portugal
2013 - 2016 Assistant Professor (University Teacher) Universidade de Évora Escola de Ciências e Tecnologia, Portugal

Positions / Appointments

Category
Host institution 		Employer
2015 - 2018 Member of the Assembly of the School of Science and Technology Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Escola de Ciências Sociais, Portugal
2013 - 2017 Organic Unit Vice-President Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal

Others

Category
Host institution 		Employer
2019 - Current Coordinator of the Algebra and Logic research group at the Mathematics and Applications Research Center Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
2017 - 2019 Member of the Master's course committee in Mathematics for Teaching Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
2012 - 2015 President of the Assembly of the School of Science and Technology Universidade de Évora Escola de Ciências e Tecnologia, Portugal
Universidade de Évora Escola de Ciências e Tecnologia, Portugal
2010 - 2012 President of the Department Council Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
2006 - 2007 Director of the Degree Course in Applied Mathematics Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
2005 - 2007 Deputy Chair of the Mathematics Department Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
2003 - 2006 Director of the Degree Course in Mathematics and Computer Science Universidade de Évora Departamento de Matemática, Portugal
Universidade de Évora Departamento de Matemática, Portugal
Projects

Contract

Designation Funders
2022 - Current Monoides e semigrupos afines
ProyExel 00868
Member of the Working Team Universidad de Cádiz Facultad de Ciencias, Spain
Universidad de Cádiz Facultad de Ciencias, Spain
 Junta de Andalucía
Ongoing
2018 - 2020 Study and Applications of Numerical and Affine Semigroups
MTM2017-84890-P
Member of the Working Team Universidad de Cádiz Facultad de Ciencias, Spain
Universidad de Cádiz - Campus de Puerto Real, Spain
 Junta de Andalucía
Concluded
2007/09/01 - 2010/12/31 Semigrupos numéricos e aplicações
PTDC/MAT/73544/2006
Principal investigator
Universidade de Évora, Portugal

Universidade de Évora Centro de Investigação em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2006/10/01 - 2007/08/31 Campeonato Nacional de jogos Matemáticos 2007 - Évora
2006-143/115
Member of the Working Team
Universidade de Évora Departamento de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2006 - 2007 Programa Móbius (Viver a Matemática)
ID 706
Principal investigator
Universidade de Évora Departamento de Matemática, Portugal
Concluded
Outputs

Publications

Journal article
  1. M. B. Branco; M. C. Faria; J. C. Rosales. "Almost-Positioned Numerical Semigroups". Results in Mathematics (2021): https://doi.org/10.1007/s00025-021-01372-y.
    10.1007/s00025-021-01372-y
  2. José Carlos ROSALES; Manuel Baptista BRANCO; Márcio André TRAESEL. "Modularly equidistant numerical semigroups". TURKISH JOURNAL OF MATHEMATICS (2021): https://doi.org/10.3906/mat-2008-83.
    10.3906/mat-2008-83
  3. M.B. Branco; M.C. Faria; J.C. Rosales. "Positioned numerical semigroups". Quaestiones Mathematicae (2020): 1-13. https://doi.org/10.2989/16073606.2020.1742245.
    10.2989/16073606.2020.1742245
  4. J. C. Rosales; M. B. Branco. "Numerical semigroups closed under addition of their divisors". Applicable Algebra in Engineering, Communication and Computing (2020): https://doi.org/10.1007%2Fs00200-020-00420-4.
    10.1007/s00200-020-00420-4
  5. M. B. Branco; C. Correia Ramos; S. Fernandes; S. Santos. "Numerical semigroups and periodic orbits for Markov interval maps". Journal of Difference Equations and Applications (2017): 1-13. https://doi.org/10.1080/10236198.2017.1351558.
    10.1080/10236198.2017.1351558
  6. Rosales, J.C.; Branco, M.B.; Torrão, D.. "The Frobenius problem for Mersenne numerical semigroups". Mathematische Zeitschrift 286 1-2 (2017): 741-749. http://www.scopus.com/inward/record.url?eid=2-s2.0-84991757077&partnerID=MN8TOARS.
    10.1007/s00209-016-1781-z
  7. Rosales, J.C.; Branco, M.B.; Torrão, D.. "Bracelet monoids and numerical semigroups". Applicable Algebra in Engineering, Communications and Computing 27 3 (2016): 169-183. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945152227&partnerID=MN8TOARS.
    10.1007/s00200-015-0274-3
  8. Rosales, J.C.; Branco, M.B.; Torrão, D.. "The Frobenius problem for repunit numerical semigroups". Ramanujan Journal 40 2 (2016): 323-334. http://www.scopus.com/inward/record.url?eid=2-s2.0-84941701981&partnerID=MN8TOARS.
    10.1007/s11139-015-9719-3
  9. Rosales, J.C.; Branco, M.B.; Torrão, D.. "Sets of positive integers closed under product and the number of decimal digits". Journal of Number Theory 147 (2015): 1-13. http://www.scopus.com/inward/record.url?eid=2-s2.0-84906748717&partnerID=MN8TOARS.
    10.1016/j.jnt.2014.06.014
  10. Rosales, J.C.; Branco, M.B.; Torrão, D.. "The Frobenius problem for Thabit numerical semigroups". Journal of Number Theory 155 (2015): 85-99. http://www.scopus.com/inward/record.url?eid=2-s2.0-84928990834&partnerID=MN8TOARS.
    10.1016/j.jnt.2015.03.006
  11. Rosales, J.C.; Branco, M.B.; Torrão, D.. "On the enumeration of the set of saturated numerical semigroups of a given genus". Semigroup Forum 88 3 (2014): 621-630. http://www.scopus.com/inward/record.url?eid=2-s2.0-84901687703&partnerID=MN8TOARS.
    10.1007/s00233-013-9558-8
  12. Rosales, J.C.; Branco, M.B.; Torrão, D.. "On the enumeration of the set of saturated numerical semigroups with fixed Frobenius number". Applied Mathematics and Computation 236 (2014): 471-479. http://www.scopus.com/inward/record.url?eid=2-s2.0-84898613814&partnerID=MN8TOARS.
    10.1016/j.amc.2014.03.058
  13. Rosales, J.C.; Branco, M.B.. "Two-Extension of a Numerical Semigroup with Embedding Dimension Two". Communications in Algebra 42 4 (2014): 1690-1697. http://www.scopus.com/inward/record.url?eid=2-s2.0-84890513424&partnerID=MN8TOARS.
    10.1080/00927872.2012.748781
  14. Rosales, J.C.; Branco, M.B.. "The Frobenius problem for numerical semigroups". Journal of Number Theory 131 12 (2011): 2310-2319. http://www.scopus.com/inward/record.url?eid=2-s2.0-79961100352&partnerID=MN8TOARS.
    10.1016/j.jnt.2011.05.011
  15. Rosales, J.C.; Branco, M.B.. "The Frobenius problem for numerical semigroups with multiplicity four". Semigroup Forum 83 3 (2011): 468-478. http://www.scopus.com/inward/record.url?eid=2-s2.0-81355138694&partnerID=MN8TOARS.
    10.1007/s00233-011-9328-4
  16. Rosales, J.C.; Branco, M.B.; Vasco, P.. "Proportionally Modular Diophantine Inequalities and Their Multiplicity". Acta Mathematica Sinica, English Series 26 11 (2010): 2059-2070. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957347564&partnerID=MN8TOARS.
    10.1007/s10114-010-7573-1
  17. Rosales, J.C.; Garcia-Sanchez, P.A.; Garcia-Garcia, J.I.; Branco, M.B.. "Numerical semigroups with a monotonic apery set". Czechoslovak Mathematical Journal 55 3 (2005): 755-772. http://www.scopus.com/inward/record.url?eid=2-s2.0-25444483041&partnerID=MN8TOARS.
    10.1007/s10587-005-0062-5
  18. Rosales, J.C.; García-Sánchez, P.A.; García-García, J.I.; Branco, M.B.. "Saturated numerical semigroups". Houston Journal of Mathematics 30 2 (2004): 321-330. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042680643&partnerID=MN8TOARS.
  19. Rosales, J.C.; Garciá-Snchez, P.A.; García-García, J.J.; Branco, M.B.. "Arf numerical semigroups". Journal of Algebra 276 1 (2004): 3-12. http://www.scopus.com/inward/record.url?eid=2-s2.0-2542437630&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2004.03.007
  20. Rosales, J.C.; Branco, M.B.. "Irreducible numerical semigroups". Pacific Journal of Mathematics 209 1 (2003): 131-143. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037601682&partnerID=MN8TOARS.
  21. Rosales, J.C.; Branco, M.B.. "Irreducible numerical semigroups with arbitrary multiplicity and embedding dimension". Journal of Algebra 264 2 (2003): 305-315. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037673316&partnerID=MN8TOARS.
    10.1016/S0021-8693(03)00241-2
  22. Rosales, J.C.; Branco, M.B.. "Decomposition of a numerical semigroup as an intersection of irreducible numerical semigroups". Bulletin of the Belgian Mathematical Society - Simon Stevin 9 3 (2002): 373-381. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036664849&partnerID=MN8TOARS.
  23. Rosales, J.C.; García-Sánchez, P.A.; García-García, J.I.; Branco, M.B.. "Systems of inequalities and numerical semigroups". Journal of the London Mathematical Society 65 3 (2002): 611-623. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036402861&partnerID=MN8TOARS.
    10.1112/S0024610701003052
  24. Rosales, J.C.; Branco, M.B.. "Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups". Journal of Pure and Applied Algebra 171 2-3 (2002): 303-314. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037172903&partnerID=MN8TOARS.
    10.1016/S0022-4049(01)00128-1
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2019 - Current Betti numbers of some semigroup rings
Supervisor
 Doutoramento em Matemática e Aplicações (PhD)
Universidade de Évora Departamento de Matemática, Portugal
2019 - 2023 Estudo de algumas variedades do número de Frobenius
Co-supervisor
 Doutoramento em Matemática e Aplicações (PhD)
Universidade de Évora Departamento de Matemática, Portugal
2018 - 2021 Semigrupos numéricos
Supervisor
 Doutoramento em Matemática da FCT (PhD)
Universidade Nova de Lisboa Centro de Física e Investigação Tecnológica, Portugal
2015 - 2017 Combinatory Problems in Numerical Semigroups
Co-supervisor
 Doutoramento em Matemática (PhD)
Universidade de Évora Departamento de Matemática, Portugal