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Alfredo Manuel Gouveia da Costa. Associate professor in the Department of Mathematics of the University of Coimbra. His research has been mostly around semigroup theory and its connections with symbolic dynamics.
Identification

Personal identification

Full name
Alfredo Manuel Gouveia da Costa

Citation names

  • Costa, Alfredo

Author identifiers

Ciência ID
5818-1E1B-D020
ORCID iD
0000-0001-5906-965X

Email addresses

  • amgc@mat.uc.pt (Professional)

Addresses

  • Centro de Matemática da Universidade de Coimbra, Apartado 3008 EC Santa Cruz, 3001-501, Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Upper intermediate (B2) Proficiency (C2) Advanced (C1) Proficiency (C2) Proficiency (C2)
French Elementary (A2) Proficiency (C2) Elementary (A2) Advanced (C1)
Spanish; Castilian Elementary (A2) Proficiency (C2) Beginner (A1) Proficiency (C2)
Affiliation

Teaching in Higher Education

Category
Host institution
Employer
2023/09/07 - Current Associate Professor (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
2007/07/13 - 2023/09/06 Assistant Professor (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
2003/05/31 - 2007/07/12 Assistant (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
2000/10/02 - 2003/05/30 Trainee Assistant (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal

Others

Category
Host institution
Employer
2000/09/01 - 2000/09/13 High school professor Ministério da Educação, Portugal
Escola Secundária de Benavente, Portugal
1999/09/01 - 2000/08/31 Practicing high school professor Ministério da Educação, Portugal
Escola Básica e Secundária de Vilela, Portugal
Projects

Contract

Designation Funders
2020/01/01 - 2023/12/31 Centre for Mathematics, University of Coimbra
UIDP/00324/2020
Researcher
Centre for Mathematics of the University fo Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Under evaluation
2020/01/01 - 2023/12/31 Centre for Mathematics, University of Coimbra
10.54499/UIDB/00324/2020
Researcher
Centre for Mathematics of the University fo Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Under evaluation
2019/01/01 - 2019/12/31 Centro de Matemática da Universidade de Coimbra
UID/MAT/00324/2019
154638UID
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 Centre for Mathematics, University of Coimbra
UID/MAT/00324/2013
Researcher
Centre for Mathematics of the University fo Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 324 - 2011-2012
PEst-C/MAT/UI0324/2011
Researcher
Centre for Mathematics of the University fo Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2007/05/01 - 2010/08/31 Autómatos, Semigrupos e Aplicações
PTDC/MAT/65481/2006
Researcher
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Almeida, Jorge; Costa, Alfredo; Kyriakoglou, Revekka; Perrin, Dominique. Profinite Semigroups and Symbolic Dynamics. Springer International Publishing. 2020.
    Published • 10.1007/978-3-030-55215-2
Book chapter
  1. Almeida, Jorge; Costa, Alfredo. "Profinite topologies". In Handbook of Automata Theory, 615-652. European Mathematical Society Publishing House, 2021.
    Published • 10.4171/automata-1/17
Journal article
  1. Alfredo Costa. "A profinite approach to complete bifix decodings of recurrent languages". Forum Mathematicum (2023): https://doi.org/10.1515/forum-2022-0246.
    10.1515/forum-2022-0246
  2. Jorge Almeida; Alfredo Costa. "Equidivisibility and profinite coproduct". Quaestiones Mathematicae (2023): https://doi.org/10.2989/16073606.2022.2148586.
    10.2989/16073606.2022.2148586
  3. Costa, Alfredo; Benjamin Steinberg. "The Karoubi envelope of the mirage of a subshift". Communications in Algebra 49 11 (2021): 4820-4856. https://doi.org/10.1080/00927872.2021.1931263.
    10.1080/00927872.2021.1931263
  4. Almeida, Jorge; Costa, Alfredo; Kyriakoglou, Revekka; Perrin, Dominique. "On the group of a rational maximal bifix code". Forum Mathematicum 32 3 (2020): 553-576. http://dx.doi.org/10.1515/forum-2018-0270.
    10.1515/forum-2018-0270
  5. Costa, Alfredo; Escada, Ana. "Bases for pseudovarieties closed under bideterministic product". Algebra universalis 80 4 (2019): http://dx.doi.org/10.1007/s00012-019-0621-5.
    10.1007/s00012-019-0621-5
  6. Jorge Almeida; Alfredo Costa; José Carlos Costa; Marc Zeitoun. "The linear nature of pseudowords". Publicacions Matemàtiques 63 (2019): 361-422. https://doi.org/10.5565/PUBLMAT6321901.
    10.5565/PUBLMAT6321901
  7. Almeida, Jorge; Costa, Alfredo. "Equidivisible pseudovarieties of semigroups". Publicationes Mathematicae Debrecen 90 3-4 (2017): 435-453.
    Published • 10.5486/PMD.2017.7634
  8. Almeida, Jorge; Costa, Alfredo. "A geometric interpretation of the Schützenberger group of a minimal subshift". Arkiv för Matematik 54 2 (2016): 243-275.
    Published • 10.1007/s11512-016-0233-7
  9. Costa, Alfredo; Steinberg, Benjamin. "A categorical invariant of flow equivalence of shifts". Ergodic Theory and Dynamical Systems 36 02 (2016): 470-513.
    Published • 10.1017/etds.2014.74
  10. Costa, Alfredo; Steinberg, Benjamin. "The Schützenberger category of a semigroup". Semigroup Forum 91 3 (2015): 543-559.
    Published • 10.1007/s00233-014-9657-1
  11. Almeida, Jorge; Costa, Alfredo. "A note on pseudovarieties of completely regular semigroups". Bulletin of the Australian Mathematical Society 92 02 (2015): 233-237.
    Published • 10.1017/S0004972715000532
  12. Almeida, Jorge; Costa, Alfredo. "Presentations of Schützenberger groups of minimal subshifts". Israel Journal of Mathematics 196 1 (2013): 1-31.
    Published • 10.1007/s11856-012-0139-4
  13. Costa, Alfredo; Escada, Ana. "Some operators that preserve the locality of a pseudovariety of semigroups". International Journal of Algebra and Computation 23 03 (2013): 583-610.
    Published • 10.1142/S0218196713500112
  14. Almeida, Jorge; Costa, Alfredo. "On the transition semigroups of centrally labeled Rauzy graphs". International Journal of Algebra and Computation 22 02 (2012): 1250018-1250018.
    Published • 10.1142/S021819671250018X
  15. Costa, Alfredo; Steinberg, Benjamin. "Profinite groups associated to sofic shifts are free". Proceedings of the London Mathematical Society 102 2 (2011): 341-369.
    Published • 10.1112/plms/pdq024
  16. Almeida, J.; Costa, A.. "Infinite-vertex free profinite semigroupoids and symbolic dynamics". Journal of Pure and Applied Algebra 213 5 (2009): 605-631. http://www.scopus.com/inward/record.url?eid=2-s2.0-58849122656&partnerID=MN8TOARS.
    10.1016/j.jpaa.2008.08.009
  17. Chaubard, Laura; Costa, Alfredo. "A new algebraic invariant for weak equivalence of sofic subshifts". RAIRO - Theoretical Informatics and Applications 42 3 (2008): 481-502.
    Published • 10.1051/ita:2008015
  18. Costa, A.. "Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts". Journal of Pure and Applied Algebra 209 2 (2007): 517-530. http://www.scopus.com/inward/record.url?eid=2-s2.0-33845976344&partnerID=MN8TOARS.
    Published • 10.1016/j.jpaa.2006.06.016
  19. Costa, A.. "Conjugacy invariants of subshifts: An approach from profinite semigroup theory". International Journal of Algebra and Computation 16 4 (2006): 629-655. http://www.scopus.com/inward/record.url?eid=2-s2.0-33748547246&partnerID=MN8TOARS.
    Published • 10.1142/S0218196706003232
Journal issue
  1. Costa, Alfredo; Delgado, Manuel; Fernandes, Vítor Hugo; Jesus, Manuel. "Proceedings of the International Conference on Semigroups and Related Topics". International Journal of Algebra and Computation 21 07 (2011): https://www.worldscientific.com/toc/ijac/21/07.
    Published • Invited editor
Magazine article
  1. Costa, Alfredo. "O Teorema de Minkowski", Gazeta de Matemática, 2023, https://gazeta.spm.pt/fichaartigo?id=1669.
  2. Costa, Alfredo. "Ternos Pitagóricos e Tijolos de Euler", Gazeta de Matemática, 2023, https://gazeta.spm.pt/fichaartigo?id=1645.
  3. Costa, Alfredo. "O Teorema de Monsky", Gazeta de Matemática, 2021, https://gazeta.spm.pt/fichaartigo?id=1597.
  4. Costa, Alfredo. "Symbolic dynamics and semigroup theory", CIM Bulletin, 2018, http://www.cim.pt/CIM-Bull.
Preface / Postscript
  1. Costa, A.; Delgado, M.; Fernandes, V.H.. "Preface of International Journal of Algebra and Computation, vol. 21, n. 7". Preface to International Journal of Algebra and Computation. 2011.
    Published • 10.1142/S0218196711006959
Thesis / Dissertation
  1. "Semigrupos profinitos e dinâmica simbólica". PhD, Universidade do Porto, 2007.
  2. "Relações entre a dinâmica de operadores implícitos e a estrutura de grupos finitos". Master, 2003.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/07/01 A brief survey on the Schützenberger group of an irreducible shift space Conference on Theoretical and Computational Algebra 2024, Thematic session Algebraic aspects of symbolic dynamics
(Aveiro, Portugal)
2024/02/24 The Karoubi envelope of a semigroup Seminar of the Regional Phd Program in Mathematics
University of Cape Verde (web seminar, Cape Verde)
2023/12/16 O Teorema de Natal (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2023/11/18 Geometria (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2023/10/22 Técnicas de Demonstração (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2023/10/21 O Teorema de Minkowski (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2023/09/08 A profinite approach to complete bifix decodings of recurrent languages Séminaire Automates
Institut de Recherche en Informatique Fondamentale (Université Paris Cité) (Paris, France)
2023/05/05 A profinite approach to complete bifix decodings of recurrent languages Seminar on Semigroups, Automata and Languages
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2022/11/15 Profinite codes Seminar on Algebra, Logic and Topology
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2022/10/19 The Karoubi envelope of a semigroup PhD Seminar session UC|UP Joint PHD Program in Mathematics
(Coimbra, Portugal)
2022/07/20 Equidivisibility and profinite coproduct [Invited speaker] Parallel session "Groups and Semigroups" of the Encontro Nacional SPM 2022 (National meeting of the Portuguese Mathematical Society, 2022)
Portuguese Mathematical Society (Tomar, Portugal)
2022/06/24 Equidivisibility and profinite coproduct Topology, Algebra, and Categories in Logic 2022
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal)
2022/02/18 The Finite Index Basis Theorem Seminar on Semigroups, Automata and Languages
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2022/01/24 The two-sided Karnofsky-Rhodes expansion of a semigroup Informal Seminar on Categories
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2021/09/26 O Teorema de Monsky II (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2021/09/25 O Teorema de Monsky I (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2021/07/15 O Projeto Delfos e as Olimpíadas de Matemática (a talk about outreach activities) [Invited speaker] Parallel session "Olimpíadas de Matemática" of the Encontro Nacional SPM 2021 (National meeting of the Portuguese Mathematical Society, 2021)
Portuguese Mathematical Society (Portugal)
2020/12/14 The Finite Index Basis Theorem Seminar of the Algebra and Logic Group of the Centre of Mathematics and Applications (CMA)
NOVA University Lisbon (web seminar, Portugal)
2020/09/15 The Karoubi envelope of the mirage of a subshift Seminar on Algebra, Logic and Topology
Centro de Matemática da Universidade de Coimbra (web seminar, Portugal)
2020/07/17 The Karoubi envelope of the mirage of a subshift Seminar on Semigroups, Automata and Languages
Centro de Matemática da Universidade do Porto (web seminar, Portugal)
2020/06/10 The profinite Schützenberger group defined by a symbolic dynamical system York Semigroup Seminar
Department of Mathematics, University of York (web seminar, United Kingdom)
2019/11/08 The profinite Schützenberger group defined by a symbolic dynamical system New York Group Theory Seminar
Graduate Center of the City University of New York (New York City, United States)
2019/04/27 Geometria (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2019/03/17 Aritmética Modular (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2019/03/14 Symbolic dynamics and semigroup theory Semigroup seminar
Department of Mathematics and Statistics at the Faculty of Sciences of Masaryk University (Brno, Czech Republic)
2019/03/07 Bases for pseudovarieties closed under bideterministic product Semigroup seminar
Department of Mathematics and Statistics at the Faculty of Sciences of Masaryk University (Brno, Czech Republic)
2019/03/03 Free profinite semigroups, symbolic dynamics, and codes AAA 97 — 97. Arbeitstagung Allgemeine Algebra
Technische Universität Wien (Wien, Austria)
2019/02/08 On the group of a rational maximal bifix code Seminar on Semigroups, Automata and Languages
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2019/01/19 Indução (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra)
2018/11/28 On the linear nature of pseudowords Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2018/11/07 On the group of a rational maximal bifix code PhD Seminar session UC|UP Joint PHD Program in Mathematics
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2018/09/22 O grupo de um código bifixo maximal racional Seminário do CMAT
CMAT - Centro de Matemática (Universidade do Minho) (Braga, Portugal)
2018/09/14 On the group of a rational maximal bifix code 17ème édition des "Journées Montoises d'Informatique Théorique"
LABRI (Bordéus, France)
2018/07/12 Closure under bideterministic product and locality International Conference on Semigroups - on the occasion of Mária Szendrei’s 65th birthday
(Lisboa, Portugal)
2018/07/09 O grupo de um código bifixo maximal racional [Invited speaker] Encontro Nacional da SPM
Sociedade Portuguesa de Matemática (Bragança, Portugal)
2018/02/11 O envelope de Karoubi de um semigrupo (outreach activities) [Invited speaker] Jornadas de Matemática da Universidade do Porto
Associação de estudantes iNIGMA da Universidade do Porto (Porto, Portugal)
2018/01/22 The image of a representation of pseudowords over the aperiodics Seminário de Álgebra e Lógica
Centro de Matemática e Aplicações (Lisboa, Portugal)
2017/12/02 Descida infinita (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2017/10/27 The image of a representation of pseudowords over the aperiodics Seminar on Semigroups, Automata and Languages
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2017/07/28 Equidivisible relatively free profinite semigroups Conference to celebrate the 70th Anniversary of Peter J. Cameron - Satellite Workshop: Symmetry in Finite and Infinite Structures
(Lisboa, Portugal)
2016/11/15 Equidivisible pseudovarieties of semigroups Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2016/11/04 A successful pair: symbolic dynamics and (pro)finite semigroups PhD Seminar session UC|UP Joint PHD Program in Mathematics
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2016/01/21 Two contributions from symbolic dynamics to the comprehension of Green's relations in relatively free profinite semigroups [Invited speaker] Séminaire Profinis
Institut Gaspard-Monge (Université Paris-Est Marne-la Vallée) (Paris, France)
2016/01/15 Bringing balance to the galaxy of pseudovarieties: equidivisibility Mini-workshop "C'era una volta in Porto... arrivederci Emanuele Rodaro!"
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2015/11/08 Teorema de Minkowski (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2015/07/07 The Karoubi envelope and the Schützenberger category of a semigroup Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2015/06/15 Syntactic invariants of flow equivalence of shifts [Invited speaker] ALFA 15: Automata, Logic, Formal languages, Algebra June 15, 16, 17 2015
LaBRI (Bordeaux, France)
2015/03/13 The Karoubi envelope and the Schützenberger category of a semigroup Seminar on Semigroups, Automata and Languages
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2014/11/28 Uma investigação sobre o quadrado (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2014/11/19 The Schützenberger category of a semigroup Algebra Workshop 2014 - 34 years of CAUL
Centro de Álgebra da Universidade de Lisboa (Lisboa, Portugal)
2014/06/24 The Karoubi envelope of sofic, Markov-Dyck and Property (A) shifts Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2014/04/26 Números (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2013/11/22 Applications of the Karoubi envelope of a shift [Invited speaker] Workshop: Flow equivalence of graphs, shifts, and C*-algebras
Department of Mathematical Sciences, University of Copenhagen (Copenhaga, Denmark)
2013/07/19 Syntactic invariants of flow equivalence of symbolic dynamical systems Seminário conjunto de Sistemas Dinâmicos e de Semigrupos, Autómatos e Linguagens
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2013/07/07 The locality of a monoid pseudovariety is preserved by the closure under left (right) deterministic product [Invited speaker] ALFA 13: Workshop on Automata, Logic, Formal languages, and Algebra
(Riga, Latvia)
2013/06/04 A categorical invariant of flow equivalence of shifts [Invited speaker] Automata Theory and Symbolic Dynamics Workshop
Pacific Institut for Mathematical Sciences (Vancouver, Canada)
2013/05/22 Some semigroup-theoretic aspects of Rauzy graphs of subshifts Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2012/07/09 Subgrupos maximais do semigrupo profinito livre [Invited speaker] Encontro Nacional da SPM
Sociedade Portuguesa de Matemática (Faro, Portugal)
2012/05/25 Some operators that preserve the locality of a pseudovariety of semigroups Séminaire graphes et logique
Laboratoire Bordelais de Recherche en Informatique (Bordeuax, France)
2012/04/20 Some operators that preserve the locality of a pseudovariety of semigroups Seminários de Semigrupos e Linguagens
Centro de Álgebra da Universidade de Lisboa (Lisboa, Portugal)
2012/04/14 Oráculo: Invariantes de sistemas dinâmicos simbólicos (outreach activities) Delfos School - A School of Mathematics for Young People - (Training Center for international math Olympiads, outreach activities)
Universidade de Coimbra (Coimbra, Portugal)
2011/01/31 A categorical invariant of flow equivalence Seminário de Semigrupos, Autómatos e Linguagens
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2011/01/25 A categorical invariant of flow equivalence Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2010/11/30 A categorical invariant of flow equivalence extracted from a semigroup Seminários de Semigrupos e Linguagens
Centro de Álgebra da Universidade de Lisboa (Lisboa, Portugal)
2010/06/23 Profinite semigroups associated with sofic shifts are free Automata, Semigroups and Applications’ days
(Porto, Portugal)
2010/05/19 Maximal subgroups of free profinite semigroups Seminário de Semigrupos, Autómatos e Linguagens
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2010/04/13 Maximal subgroups of free profinite semigroups Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2009/06/23 The linear nature of pseudowords Séminaire général de l'Institut d'électronique et d'informatique Gaspard-Monge
Institut d'électronique et d'informatique Gaspard-Monge, Université Paris-Est Marne-la-Vallée (France)
2009/04/24 The J-classes associated to irreducible symbolic dynamical systems [Invited speaker] Workshop on groups, semigroups and applications (A day to remember W. Douglas Munn on the occasion of his 80th birthday)
Centro de Álgebra da Universidade de Lisboa (Lisboa, Portugal)
2009/03/10 The transition semigroup of a centrally labeled Rauzy graph Séminaire général de l'Institut d'électronique et d'informatique Gaspard-Monge
Institut d'électronique et d'informatique Gaspard-Monge, Université Paris-Est Marne-la-Vallée (France)
2009/03/05 Two contributions from symbolic dynamics to the comprehension of Green's relations in relatively free profinite semigroups [Invited speaker] Workshop on Equational Theory of Regular Languages
Masaryk University, Department of Mathematics and Statistics of the Faculty of Science (Brno, Czech Republic)
2009/02/20 The transition semigroup of a centrally labeled Rauzy graph Seminário de Semigrupos, Autómatos e Linguagens
Centro de Matemática da Universidade do Porto (Porto, Portugal)
2008/06/26 Aplicação de categorias pequenas com um número infinito de vértices no cálculo de subgrupos maximais do semigrupo profinito livre. [Invited speaker] Encontro Nacional da SPM
Sociedade Portuguesa de Matemática (Coimbra, Portugal)
2008/01/08 Using free profinite semigroupoids generated by Rauzy graphs to compute J-maximal subgroups of free profinite semigroups Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2008/01/07 Semigrupos Profinitos e Dinâmica Simbólica Seminário de Álgebra e Lógica
Centro de Matemática da Universidade do Minho (Braga, Portugal)
2007/12/07 Semigrupos Profinitos e Dinâmica Simbólica Seminário de Álgebra
Centro de Álgebra da Universidade de Lisboa (Lisboa, Portugal)
2007/09/07 Profinite words and semigroupoids associated to a subshift Workshop on Infinite Words, Automata and Dynamics (September 7, 2007): satellite event of the 2nd International Computer Science Symposium in Russia
Ural Federal University, Yekaterinburg (Ekaterinburg, Russia)
2007/07/04 The profinite words associated to a subshift [Invited speaker] Workshop on Symbolic Dynamics and Coding 2007
Université de Marne-la-Vallée/Paris-Est, France (Institut d'électronique et d'informatique Gaspard-Monge, France)
2007/03/13 Free Profinite Categories and Semigroupoids and how Symbolic Dynamics can help us to understand them Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2006/09/01 A new algebraic invariant for weak equivalence of sofic subshifts Mons Days of Theoretical Computer Science 2006
Irisa - Rennes (Rennes, France)
2005/02/01 Invariantes de conjugação de sistemas dinâmicos simbólicos: uma abordagem a partir da teoria de semigrupos profinitos Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)
2003/04/23 Relações entre a dinâmica de operadores implícitos e a estrutura de grupos finitos Seminário de Álgebra, Lógica e Topologia
Centro de Matemática da Universidade de Coimbra (Coimbra, Portugal)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2019/09/16 - 2022/12/14 Schützenberger groups of minimal shift spaces
Co-supervisor
UC|UP Joint Phd Program in Mathematics (PhD)
Universidade de Coimbra, Portugal

Universidade do Porto, Portugal

Event organisation

Event name
Type of event (Role)
Institution / Organization
2024/07/01 - 2024/07/05 Conference on Theoretical and Computational Algebra 2024 (2024/07/01 - 2024/07/05)
Conference (Member of the Organising Committee)
2021/07/13 - 2021/07/13 Parallel session "Free groups, free monoids, and formal languages" of the Encontro Nacional SPM 2021 (National meeting of the Portuguese Mathematical Society, 2021). (2021/07/13 - 2021/07/13)
Seminar (Other)
Sociedade Portuguesa de Matemática, Portugal
2019/06/27 - 2019/06/29 Portuguese Workshop on Semigroups (2019)
Workshop (Member of the Organising Committee)
2016/09/19 - 2016/09/21 Workshop on Dualities 2016 (2016)
Workshop (Member of the Organising Committee)
2016/06/20 - 2016/06/24 International Conference on Semigroups and Automata 2016 (2016)
Conference (Member of the Organising Committee)
2015/06/10 - 2015/06/13 Special Session "Algebraic Theory of Semigroups and Applications" --- 2015 International Meeting AMS-EMS-SPM (2015)
Meeting (Member of the Organising Committee)
2015/06/09 - 2015/06/09 Workshop on Groups and Semigroups on the occasion of the 60th birthday of Mikhail Volkov (2015)
Workshop (Member of the Organising Committee)
2010/11/25 - 2010/11/26 Dynamical Aspects of Automata and Semigroup Theories - Vienna, Austria (2010)
Workshop (Co-organisor)
European Science Foundation e Centro de Matemática da Universidade de Coimbra, Austria
2009/07/06 - 2009/07/11 International Conference on Semigroups and related topics (2009)
Conference (Member of the Organising Committee)

Jury of academic degree

Topic
Role
Candidate name (Type of degree)
Institution / Organization
2024/07/23 Educar para Transformar- Os Desafios da Matemática (Relatório de Estágio)
(Thesis) Main arguer
Diana Pavão Pimentel (Master)
2024/07/19 Desafios da vida de um Professor (Relatório de Estágio)
Supervisor
Hugo Manuel Santos dos Reis (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2024/02/21 Working Environment for Automated Deduction in Geometry
President of the jury
Nuno Miguel dos Santos Baeta (PhD)
Universidade de Coimbra, Portugal
2023/04/28 Structure, algorithmics and dynamics of endomorphisms for certain classes of groups
Thesis Member
André da Cruz Carvalho (PhD)
Universidade do Porto, Portugal
2022/12/14 Schützenberger groups of minimal shift spaces
Supervisor
Herman Goulet-Ouellet (PhD)
Universidade de Coimbra, Portugal
2022/07/21 Ensino da Matemática: Ser Aluno e Professor. (Relatório de Estágio)
(Thesis) Main arguer
Diogo António da Silva Oliveira (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2019/07/17 Francy - An Interactive Discrete Mathematics Framework for GAP
Thesis Member
Manuel Carlos Machado Martins (PhD)
Universidade Aberta, Portugal
2019/05/10 Spherical tilings, GeoGebra contributions to their combinatorial and geometrical classification
Thesis Member
José Manuel Dos Santos dos Santos (PhD)
Universidade Aberta, Portugal
2018/12/11 Maximal Bifix Decoding of Recurrent Sets
(Thesis) Main arguer
João Pedro Marques Pires (Master)
Universidade do Porto Departamento de Matemática, Portugal
2015/02/04 Reaching the minimum ideal in a finite semigroup
(Thesis) Main arguer
Nasim Karimi (PhD)
Universidade do Porto, Portugal
2014/09/30 Georg Cantor e os Números Transcendentes
(Thesis) Main arguer
Rita Daniela Larangeiro da Costa Ferreira (Master)
Universidade de Coimbra, Portugal
2014/07/24 The Cerný Conjecture and Other Synchronization Problems
Thesis Member
Ângela Filipa Pereira Cardoso (PhD)
Universidade do Porto, Portugal
2012/12/21 Sobre expansões de Malcev de semigrupos finitos
(Thesis) Main arguer
Joana Mendonça de Matos (PhD)
Universidade de Lisboa, Portugal
2012/09/21 Aplicações das Equações Quadráticas
(Thesis) Main arguer
Isabel Margarida das Neves Veloso Guilherme (Master)
Universidade de Coimbra, Portugal
2011/07/14 Fractais
(Thesis) Main arguer
Ana Mafalda Rodrigues Abrantes Mendes de Almeida e Paiva (Master)
Universidade de Coimbra, Portugal
2010/07 A irracionalidade da raiz quadrada de 2 e da raiz cúbica de 2. Construções com régua e compasso.
(Thesis) Main arguer
Lúcia Maria Correia Fradinho (Master)
Universidade de Coimbra, Portugal
2010/07 Geometria: Deltaedros
(Thesis) Main arguer
Ana Isabel Caetano (Master)
Universidade de Coimbra, Portugal
2009/07 Um Modelo Euclidiano na Geometria Euclidiana
(Thesis) Main arguer
Ângela Maria Quadrado Gil Robalo (Master)
Universidade de Coimbra, Portugal
2009/07 Desigualdades Isoperimétricas para Polígonos
(Thesis) Main arguer
Ilda Teresa Alves Rodrigues da Silva (Master)
Universidade de Coimbra, Portugal
2009/07 Programação Linear como Estímulo para a Optimização
(Thesis) Main arguer
Célia Margarida Fonseca Martins (Master)
Universidade de Coimbra, Portugal

Association member

Society Organization name Role
2010/01/07 - Current American Mathematical Society
2004/05/11 - Current Sociedade Portuguesa de Matemática

Committee member

Activity description
Role
Institution / Organization
2021/02/01 - Current Delfos School - A School of Mathematics for Young People (Training Center for international math Olympiads, outreach activities)
Coordinator
Universidade de Coimbra, Portugal
2014/11/01 - 2021/01/31 Delfos School - A School of Mathematics for Young People (Training Center for international math Olympiads, outreach activities)
Member
Universidade de Coimbra, Portugal
2008/10/01 - 2015/07/31 Problem Selection Committee of the Portuguese Mathematical Olympiad
Member
Sociedade Portuguesa de Matemática, Portugal

Universidade de Coimbra, Portugal

Consulting

Activity description Institution / Organization
2023/10/21 - Current Liga Delfos - (outreach activity: team competition inside Delfos School, in every month, approximately, of the academic year) Universidade de Coimbra, Portugal
2014/06/07 - Current Resolução de Problemas (solving problem math Olympiad sessions; in: Delfos School - A School of Mathematics for Young People - Training Center for international math Olympiads) Universidade de Coimbra, Portugal
2010/04/24 - Current Teoria dos Números (outreach classes on Number Theory for high school students; in: Delfos School - A School of Mathematics for Young People - Training Center for international math Olympiads) Universidade de Coimbra, Portugal
2021/01/01 - 2023/12/31 Member of the team of correctors for the 2nd round of the Portuguese Mathematics Olympiad Sociedade Portuguesa de Matemática, Portugal
2021/11/01 - 2021/11/30 "Observer" of the Portuguese team in the Iberoamerican Math Olympiad. (Helped in the process of giving marks to the students in the team.)
2020/09/01 - 2021/09/30 "Observer of type A" of the Portuguese team in the International Math Olympiad. (Helped in the process of giving marks to the students in the team.)
2020/07/01 - 2020/07/31 Co-Leader of the Portuguese team in the outreach activity Cyberspace Mathematical Competition Mathematical Association of America, United States
2018/01/01 - 2019/12/31 Member of the team of correctors for the 2nd round of the Portuguese Mathematics Olympiads Sociedade Portuguesa de Matemática, Portugal
2015/10/10 - 2018/06/28 Liga Delfos - (outreach activity: team competition inside Delfos School, in every month, approximately, of the scholar year) Universidade de Coimbra, Portugal
2018/03/23 - 2018/03/25 Member of the team of correctors for the final round of the Portuguese Mathematics Olympiad Sociedade Portuguesa de Matemática, Portugal
2013/09/01 - 2014/09/30 Jury member of the Iberoamerican Math Olympiad
2011/07/17 - 2011/07/23 Jury member of the International Mathematics Olympiad

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2024/06/10 - 2024/06/14 Curricular unit "Tópicos Avançados de Álgebra e Combinatória" - Programa Regional de Doutoramento em Matemática. Taught the module on semigroups, with 20 hours of classes concentrated in a week. Programa Regional de Doutoramento em Matemática (Curso de doutoramento (conclusão de unidades curriculares)) Universidade de Cabo Verde, Cape Verde

Universidade Agostinho Neto, Angola

Universidade de Coimbra, Portugal

Mentoring / Tutoring

Topic Student name
2022/11/01 - 2023/09/15 Autómatos e a Conjetura de Cerny [Gulbenkian Foundation Grant "Novos Talentos em Matemática"] Dantas Serra
2022/06/01 - 2022/10/21 A categoria de Schützenberger de um semigrupo com unidades locais [Research Initiation Scholarship (CMUC)] Luiza Sposito
2010 - 2010 Supervision of the scientific initiation of a student in the first year of the BSc in Mathematics in Coimbra [Gulbenkian Foundation Grant "Novos Talentos em Matemática"] João Pereira

Other jury / evaluation

Activity description Institution / Organization
2024/04/30 - 2024/04/30 Membro do Júri (arguente) do projeto de investigação "Álgebras e Linguagens Formais" do estudante Diogo Nuno Lemos Abreu, projeto submetido para avaliação na unidade curricular "Projeto de Investigação" do Doutoramento em Matemática da Faculdade de Ciências da Universidade de Lisboa. Universidade de Lisboa Faculdade de Ciências, Portugal
2024/01/19 - 2024/01/30 Reader of the PhD thesis "The omega-reducibility of pseudovarieties of ordered monoids in concatenation hierarchies" of Ms Jana Volaríková, Masaryk University, Faculty of Science, Brno, Czech Republic Masarykova univerzita, Czech Republic
Distinctions

Other distinction

2000 Engenheiro António de Almeida
Fundação Engenheiro António de Almeida, Portugal