Faculty

• Jorge Picado

  picado@mat.uc.pt

• Research Area

  Pointfree Topology - Lattice Theory - Categorical Methods in Algebra and Topology

• Institution

  University of Coimbra

• PhD

  Institution: University of Coimbra
  Year: 1996

• Main research publications

  • Hedgehog frames and a cardinal extension of normality (with J. Gutiérrez García, I. Mozo Carollo and J. Walters-Wayland) , Journal of Pure and Applied Algebra 223 (2019)
  • Entourages, density, Cauchy structure, and completion (with A. Pultr) , Applied Categorical Structures 26 (2018)
  • Remainders in pointfree topology (with M.J. Ferreira and S. M. Pinto) , Topology and its Applications 245 (2018)
  • Tensor products and relation quantales (with Marcel Erné) , Algebra Universalis 78 (2017)
  • Extended real functions in pointfree topology (with B. Banaschewski and J. Gutiérrez García) , Journal of Pure and Applied Algebra 216 (2012)

• PhD Students

  • Raquel Bernardes ongoing
  • Igor Arrieta Torres, co-supervision with Javier Gutiérrez García (UPV/EHU, Bilbao, Spain), ongoing
  • Ana Belén Avilez García, ongoing
  • Imanol Mozo Carollo, Frame presentations: variants of the reals, rings of functions, their Dedekind completions, and the unit circle, co-supervision with Javier Gutiérrez García (UPV/EHU, Bilbao, Spain), 2015
  • Maria João Ferreira, On the construction of quasi-uniform structures in pointfree topology, 2005

• Adittional information

  Jorge Picado is a Full Professor of Mathematics at the University of Coimbra, Portugal. He obtained his PhD from the University of Coimbra in 1996 and was among the two finalists of the 95-98 J. Anastácio da Cunha Prize of the Portuguese Mathematical Society. 

  Director of the Centre for Mathematics of the University of Coimbra (CMUC), he is a co-author (with A. Pultr) of the books "Separation in Point-free Topology", Springer-Birkhauser, Cham, 2021, "Frames and locales: topology without points", Frontiers in Mathematics, vol. 28, Springer, Basel, 2012, and "Locales treated mostly in a covariant way", DMUC Mathematical Texts, vol. 41, 2008.

  Co-author (with A. Pultr and A. Tozzi) of the chapter "Locales", in: Categorical Foundations - Special Topics in Order, Topology, Algebra and Sheaf Theory, Encyclopedia of Mathematics and its Applications, Vol. 97, Cambridge University Press, 2004, pp. 49-101.

  Member of the project "Ordered structures and topology: pointfree topology, many-valued and noncommutative topology, and numerical representations", grant MTM2015-63608-P of the Ministry of Economy and Competitiveness of Spain (Jan. 2016 - Dec. 2019).

  Editor of the journal "Applied Categorical Structures" (Springer).

  Honorary Associate Editor of the journal "Categories and General Algebraic Structures with Applications".

  Guest Editor of two special volumes of "Topology and its Applications" (1: volume 158 (2011); 2: volume 273 (2020)).

  He has given a number of plenary lectures and courses in reputed serial conferences (Summer Topology Conference 2018, TACL 2015 Conference, BLAST 2015 Conference, International Workshop on Topological Methods in Logic IV, Workshop on Frames in Algebra 2012,  International Category Theory Conference 2011, Banaschewski Fest 2011, VII Italian-Spanish Conference on General Topology and its Applications, WiAT'10).

  Editor of the Bulletin of the Portuguese Mathematical Society.

  Editor-in-Chief of the Bulletin of the International Centre for Mathematics (2004-2008).

  Postdoc supervision:

  Mack Matlabyana (Univ. Limpopo, South Africa), grant from NSF (South Africa), 2014. 

  Christophe Van Olmen (Univ. Antwerp, Belgium), grant from FCT (Portugal), 2006-2007.

   

  More information: http://www.mat.uc.pt/~picado

Research and Events