Alfredo Costa

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

Research

Teaching

Delfos

CV Gois

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

Research

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

Published articles

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
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 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
11. 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.
12. 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
13. J. Almeida and A. Costa, Equidivisible pseudovarieties of semigroups, Publicationes Mathematicae Debrecen 90/3-4 (2017), 435-453.
    arXiv:1603.00330
14. A. Costa, Symbolic dynamics and semigroup theory, CIM Bulletin 40 (2018), 54-59.
    arXiv:1603.00330

Recent preprints

1. J. Almeida, A. Costa, J.C. Costa and M. Zeitoun, The linear nature of pseudowords.
   arXiv:1702.08083
2. J. Almeida and A. Costa, Profinite topologies.
   arXiv:1804.08004
3. J. Almeida, A. Costa, R. Kyriakoglou and D. Perrin, On the group of a rational maximal bifix code.
   arXiv:1811.03185

Theses

1. 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.
2. Doctoral thesis, Semigrupos Profinitos e Dinâmica Simbólica,
   Doutoramento em Matemática, Faculdade de Ciências da Universidade do Porto, 2007.    ERRATA

Teaching since 2007/2008

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