Alfredo Costa

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

Research

Teaching

Delfos

Curriculum (in Portuguese)

International Conference on Semigroups 2009, Porto

DAAST 2010, Wien

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), 517-530.
   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 pre-print.
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.

Recent preprints

1. J. Almeida and A. Costa, Presentations of Schützenberger groups of minimal subshifts.
   Tech. Report 10-01 DMUC, 2010. Third version available here. To appear in Israel Journal of Mathematics.
2. J. Almeida and A. Costa, On the transition semigroups of centrally labeled Rauzy graphs.
   Tech. Report 11-23 DMUC, 2011. To appear in International Journal of Algebra and Computation.
3. A. Costa and A. Escada, Some operators that preserve the locality of a pseudovariety of semigroups.
   Tech. Report 11-37 DMUC, 2011.

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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