Alfredo Costa

Assistant Professor at the Department of Mathematics, Faculty of Sciences and Technology, University of Coimbra (DMat)

Research

Teaching

Delfos

CV Ciência Vitae (FCT)

International Conference on Semigroups 2009, Porto

DAAST 2010, Wien

Workshop on Groups and Semigroups, Porto, 2015

International Conference on Semigroups and Automata 2016, Lisbon

Workshop on Dualities 2016, Coimbra

Portuguese Workshop on Semigroups 2019, Coimbra

Research

Member of the Centre for Mathematics of the University of Coimbra (CMUC)

Published articles

1. J. Almeida, A. Costa, R. Kyriakoglou and D. Perrin, On the group of a rational maximal bifix code, Forum Mathematicum, 32 (2020), nº3, 553-576;
   doi: https://doi.org/10.1515/forum-2018-0270
   arXiv:1811.03185
2. A. Costa and A. Escada, Bases for pseudovarieties closed under bideterministic product, Algebra Universalis 80 (2019), nº4, Paper No. 46, 35 pp;
   doi: 10.1007/s00012-019-0621-5
   arXiv:1902.10804
3. J. Almeida, A. Costa, J.C. Costa and M. Zeitoun, The linear nature of pseudowords, Publicacions Matemàtiques 63 (2019), nº2, 361-422; doi: 10.5565/PUBLMAT6321901
   arXiv:1702.08083
4. A. Costa, Symbolic dynamics and semigroup theory, CIM Bulletin 40 (2018), 54-59.
   arXiv:1811.04013
5. J. Almeida and A. Costa, Equidivisible pseudovarieties of semigroups, Publicationes Mathematicae Debrecen 90/3-4 (2017), 435-453.
   arXiv:1603.00330
6. J. Almeida and A. Costa, A geometric interpretation of the Schützenberger group of a minimal subshift, Arkiv för Matematik 54 (2016), 243-275; doi:10.1007/s11512-016-0233-7.
   arXiv:1507.06885
7. A. Costa and B. Steinberg, A categorical invariant of flow equivalence of shifts,  Ergodic Theory and Dynamical Systems 36 (2016), 470-513; doi:10.1017/etds.2014.74.
   Pdf file of revised preprint version.
8. A. Costa and B. Steinberg, The Schützenberger category of a semigroup,  Semigroup Forum 91 (2015), 543-559; doi:10.1007/s00233-014-9657-1.
   Preprint version: arXiv:1304.3487
9. J. Almeida and A. Costa, A note on pseudovarieties of completely regular semigroups,  Bulletin of the Australian Mathematical Society 92 (2015), 233-237; doi: 10.1017/S0004972715000532
   Tech. Report 15-06 DMUC, 2015.
   
10. A. Costa and A. Escada, Some operators that preserve the locality of a pseudovariety of semigroups, International Journal of Algebra and Computation 23 (2013), nº 3, 583-610; doi: 10.1142/S0218196713500112
    Pdf file of revised version.
11. J. Almeida and A. Costa, Presentations of Schützenberger groups of minimal subshifts, Israel Journal of Mathematics 196 (2013), nº1, 1-31; doi: 10.1007/s11856-012-0139-4
    Pdf file of third version.
12. J. Almeida and A. Costa, On the transition semigroups of centrally labeled Rauzy graphs, International Journal of Algebra and Computation  22 (2012), nº 2.; doi: 10.1142/S021819671250018X
    Tech. Report 11-23 DMUC, 2011.
13. A. Costa and B. Steinberg, Profinite groups associated to sofic shifts are free, Proceedings of the London Mathematical Society 102 (2011), nº 2, 341-369; doi:10.1112/plms/pdq
    Tech. Report 09-28 DMUC, 2009.
14. J. Almeida and A. Costa, Infinite-vertex free profinite semigroupoids and symbolic dynamics, Journal of Pure and Applied Algebra 213 (2009), 605–631; doi: 10.1016/j.jpaa.2008.08.009
    Pdf file of revised version of preprint.
15. L. Chaubard and A. Costa, A new algebraic invariant for weak equivalence of sofic subshifts, RAIRO-Theoretical Informatics and Applications 42 (2008), 481-502.
    Tech. Report 06-57 DMUC, 2006.
16. A. Costa, Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts , Journal of Pure and Applied Algebra 209 (2007), 17-530.
    Tech. Report 05-31 DMUC, 2005.
17. A. Costa, Conjugacy invariants of subshifts: an approach from profinite semigroup theory, International Journal of Algebra and Computation 16 (2006), nº 4, 629-655.
    Tech. Report 05-18 DMUC, 2005.

Recent preprints

1. A. Costa and B. Steinberg, The Karoubi envelope of the mirage of a subshift.
   arXiv:2005.07490
2. J. Almeida and A. Costa, Profinite topologies.
   arXiv:1804.08004

Theses

1. Doctoral thesis, Semigrupos Profinitos e Dinâmica Simbólica,
   Doutoramento em Matemática, Faculdade de Ciências da Universidade do Porto, 2007.    ERRATA
2. Master's thesis, Relações entre a dinâmica de operadores implícitos e a estrutura de grupos finitos,
   Mestrado em Matemática - Fundamentos e Aplicações, Departamento de Matemática Pura da Faculdade de Ciências da Universidade do Porto, 2003.

Teaching since 2007/2008

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