Short CV

September 16th, 1992	Born in Florianópolis (Brazil)
Mar 2010 – Dec 2013	B.Sc. in Mathematics and Scientific Computing at Universidade Federal de Santa Catarina
Sep 2014 – Jul 2018	Ph.D. in Mathematics at University of Ottawa Thesis: Soficity and other dynamical aspects of groupoids and inverse semigroups, HTML version
Oct 2018 – May 2019	Post-Doc at UMPA - ENS-Lyon
Dec 2019 – Current	Professor at Departamento de Matemática, Universidade Federal de Santa Catarina

Languages: Portuguese (native), English (fluent), French (lower intermediary)

Resources I enjoy

• nLab
• π-base, a community database of topological examples
• The Stacks Project, an open source textbook and reference work on algebraic geometry
• MR Lookup, a reference tool for linking
• math overflow , math.stackexchange
• Open Math Curriculum

Ensino

• Videoaulas de Álgebra Linear (MTM3112) e slides das videoaulas (corrigidos)

Research

My main topics of interest are:

• Groupoids, semigroups, and more generally semigroupoids;
• Actions, partial actions, preactions, etc. of semigroupoids;
• Algebras (C*, W*, Steinberg…) associated to semigroupoids
• Stone like dualities; Banach–Stone like theorems

Please feel free ask me for the published versions of the articles below. The HTML versions are either the manuscripts accepted for publication, or the most up-to-date preprints.

1. The talented monoid of a directed graph with applications to graph algebras
   Luiz Gustavo Cordeiro, Daniel Gonçalves and Roozbeh Hazrat
   Published at Revista Matemática Iberoamericana1 (online first)
   arXiv:2003.09911 [math.RA]
   

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2. Sectional algebras of semigroupoid bundles
   Luiz Gustavo Cordeiro
   Published at International Journal of Algebra and Computation 30 (6)
   arXiv:1906.05430 [math.RA]
   

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3. Étale inverse semigroupoids – the fundamentals
   Luiz Gustavo Cordeiro
   Preprint
   arXiv:1902.09375 [math.DS]
   HTML version

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4. A general Banach–Stone type theorem and applications
   Luiz Gustavo Cordeiro
   Published at Journal of Pure and Applied Algebra 224 (6), 2020
   arXiv:1711.00545 [math.GN]
   HTML version

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5. The dynamics of partial inverse semigroup actions
   Luiz Gustavo Cordeiro and Viviane Maria Beuter
   Published at Journal of Pure and Applied Algebra 224 (3), 2020
   arXiv:1804.00396 [math.RA]
   

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6. On sofic groupoids and their full groups
   Luiz Gustavo Cordeiro
   Published at Comptes Rendus Mathematiques 356 (9), 2018
   HTML version