Jorge Almeida's Annual Report
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Brief description of the research activities:
Pursued the development of the theory of finite semigroups through a
profinite approach, together with its applications in computer
science. The following deserve special mention: synchronization of
automata via Wedderburn-Artin theory, which leads to notions of simple
and semisimple automata (joint work with E. Rodaro); conclusion of
work on a profinite proof of the correction McCammond's normal form
algorithm for free aperiodic semigroups (with J. C. Costa and M.
Zeitoun); geometric interpretation of the profinite group of a
minimal subshift as a profiite homotopy group (with A. Costa).
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Editorial activities:
Associate Editor of Portugaliae Mathematica
Editor and Book Review Editor of Semigroup Forum
Member of Editorial Board and Book Review Editor of the SPM Bulletin