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Identification

Personal identification

Full name
Paulo Jorge Rocha Pinto

Author identifiers

Ciência ID
631A-7226-A535
ORCID iD
0000-0001-8656-2386

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics
Affiliation

Science

Category
Host institution
Employer
2003/10/13 - Current Researcher (Research) Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
Projects

Grant

Designation Funders
2013/05 - 2016/04 Geometry and Mathematical-Physics Fundação para a Ciência e a Tecnologia

Contract

Designation Funders
2019/01/01 - 2019/12/31 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
UID/MAT/04459/2019
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/05/01 - 2016/04/30 Geometria e Física-Matemática
EXCL/MAT-GEO/0222/2012
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013/05/05 - 2015/05/05 Representations of operator algebras and applications
FCT/Portugal and CNRS/Morocco
Principal investigator
Outputs

Publications

Book chapter
  1. Pinto, Paulo. "Group C*-algebras satisfying Kadison's conjecture". In Banach Center Publications, Vol. 96, 147--157. 2012.
  2. Pinto, Paulo. "Orbit representations and circle maps". 2008.
    10.1007/978-3-7643-8684-9_21
  3. Pinto, Paulo. "Modular invariants and the double of the Haagerup subfactor". 2006.
  4. "Modular invariants and their fusion rules". 2003.
Conference paper
  1. Pinto, Paulo. "Orbit equivalence and von Neumann algebras for piecewise linear unimodal maps". 2006.
Journal article
  1. C. Correia Ramos; D. Gonçalves; Nuno Martins; Paulo R. Pinto. "Unifying interval maps and branching systems with applications to relative graph C*-algebras". Journal of Mathematical Analysis and Applications (2023): https://doi.org/10.1016/j.jmaa.2022.126757.
    10.1016/j.jmaa.2022.126757
  2. André Guimarães; Paulo R. Pinto. "On a family of representations of the Higman–Thompson groups". Journal of Group Theory (2022): https://doi.org/10.1515/jgth-2021-0190.
    10.1515/jgth-2021-0190
  3. Francisco Araújo; Paulo R. Pinto. "Representations of Higman-Thompson groups from Cuntz algebras". Journal of Mathematical Analysis and Applications (2022): 125970-125970. https://doi.org/10.1016/j.jmaa.2021.125970.
    10.1016/j.jmaa.2021.125970
  4. Rachid El Harti; Paulo R. Pinto. "Positivity and Schwarz inequality for Banach *-algebras". Positivity (2022): https://doi.org/10.1007/s11117-022-00904-2.
    10.1007/s11117-022-00904-2
  5. R. Pinto, Paulo. "Markov invariant dynamics". Linear Algebra and its Applications (2021): https://doi.org/10.1016/j.laa.2021.02.028.
    10.1016/j.laa.2021.02.028
  6. R. Pinto, Paulo. "The structure of doubly non-commuting isometries". Advances in Mathematics (2020): http://dx.doi.org/10.1016/j.aim.2020.107149.
    10.1016/j.aim.2020.107149
  7. Rachid El Harti; Paulo R. Pinto. "C*-ALGEBRA VALUED NUMERICAL RANGE FOR ADJOINTABLE OPERATORS". International Journal of Functional Analysis, Operator Theory and Applications 12 2 (2020): 45-59. https://doi.org/10.17654%2Ffa012020045.
    10.17654/fa012020045
  8. Miguel Barata; Paulo R. Pinto. "Representations of Thompson groups from Cuntz algebras". Journal of Mathematical Analysis and Applications 478 1 (2019): 212-228. https://doi.org/10.1016/j.jmaa.2019.05.028.
    10.1016/j.jmaa.2019.05.028
  9. R. Pinto, Paulo. "On graph algebras from interval maps". (2019): http://dx.doi.org/10.1215/20088752-2018-0019.
    10.1215/20088752-2018-0019
  10. R. Pinto, Paulo. "Escape dynamics for interval maps". Discrete & Continuous Dynamical Systems - A (2019): http://dx.doi.org/10.3934/dcds.2019272.
    10.3934/dcds.2019272
  11. de Jeu, Marcel; El Harti, Rachid; Pinto, Paulo R.. "Amenable Crossed Product Banach Algebras Associated with a Class of C*-Dynamical Systems". Integral Equations and Operator Theory 87 2 (2017): 169-178. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000396911800002&KeyUID=WOS:000396911800002.
    10.1007/s00020-017-2345-2
  12. de Jeu, Marcel; El Harti, Rachid; Pinto, Paulo R.. "NONSIMPLICITY OF CERTAIN UNIVERSAL C*-ALGEBRAS". Annals of Functional Analysis 8 2 (2017): 211-214. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000397985600006&KeyUID=WOS:000397985600006.
    10.1215/20088752-3802751
  13. Correia Ramos, C.; Martins, Nuno; Pinto, Paulo R.. "TOEPLITZ ALGEBRAS ARISING FROM ESCAPE POINTS OF INTERVAL MAPS". Banach Journal of Mathematical Analysis 11 3 (2017): 536-553. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000407474600005&KeyUID=WOS:000407474600005.
    10.1215/17358787-2017-0005
  14. Boussejra, Abdelhamid; Moreira, Miguel M. R.; Pinto, Paulo R.. "On representations of Cuntz algebras and pure isometries". Journal of Mathematical Analysis and Applications 453 2 (2017): 798-804. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000401887500008&KeyUID=WOS:000401887500008.
    10.1016/j.jmaa.2017.04.031
  15. Pinto, P.R.. "Subfactor realisation of modular invariants from the double of the 2D2 subfactor". Journal of Physics A: Mathematical and Theoretical 48 31 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84937925040&partnerID=MN8TOARS.
    10.1088/1751-8113/48/31/315206
  16. Correia Ramos, C.; El Harti, R.; Martins, N.; Pinto, P.R.. "Baumslag-solitar group C*-algebras from interval maps". Banach Journal of Mathematical Analysis 8 1 (2014): 138-147. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885722004&partnerID=MN8TOARS.
  17. El Harti, R.; Phillips, N.C.; Pinto, P.R.. "Profinite pro-C*-algebras and pro-C*-algebras of profinite groups". Houston Journal of Mathematics 40 3 (2014): 791-816. http://www.scopus.com/inward/record.url?eid=2-s2.0-84908276850&partnerID=MN8TOARS.
  18. Correia Ramos, C.; Martins, N.; Pinto, P.R.; Paulo R. Pinto; Nuno Martins; C. Correia Ramos. "Orbit representations from matrices". Linear Algebra and Its Applications 453 (2014): 44-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-84899481808&partnerID=MN8TOARS.
    10.1016/j.laa.2014.04.003
  19. Pinto, Paulo. "Linear subspaces of C(K)". Boletim Soc. Port. mat. (2014): http://revistas.rcaap.pt/boletimspm/issue/view/431/showToc.
  20. Paulo R. Pinto; Nuno Martins; R. El Harti; C. Correia Ramos. "BAUMSLAG-SOLITAR GROUP C*-ALGEBRAS FROM INTERVAL MAPS". Banach Journal of Mathematical Analysis (2014): https://publons.com/publon/10567685/.
    10.15352/BJMA/1381782093
  21. Ramos, C.C.; Martins, N.; Pinto, P.R.; Paulo R. Pinto; Nuno Martins; C. Correia Ramos. "On C*-Algebras from Interval Maps". Complex Analysis and Operator Theory 7 1 (2013): 221-235. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872868433&partnerID=MN8TOARS.
    10.1007/s11785-011-0132-7
  22. Harti, R.E.; Pinto, P.R.; Paulo R. Pinto; Rachid El Harti. "Semisimplicity of reflexive amenable operator algebras". Archiv der Mathematik 101 2 (2013): 129-133. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881557061&partnerID=MN8TOARS.
    10.1007/s00013-013-0546-8
  23. Correia Ramos, C.; Martins, N.; Pinto, P.R.. "Orbit representations from linear mod 1 transformations". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 8 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84882305880&partnerID=MN8TOARS.
    10.3842/SIGMA.2012.029
  24. Evans, D.E.; Pinto, P.R.. "Subfactor realization of modular invariants: II". International Journal of Mathematics 23 3 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84858260624&partnerID=MN8TOARS.
    10.1142/S0129167X12500309
  25. El Harti, R.E.; Pinto, P.R.. "Stability results for C*-unitarizable groups". Annals of Functional Analysis 2 2 (2011): 1-9. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885730231&partnerID=MN8TOARS.
  26. Pinto, P.R.. "The twisted quantum double of zp modular data and subfactors". Journal of Physics A: Mathematical and Theoretical 44 34 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-80051683064&partnerID=MN8TOARS.
    10.1088/1751-8113/44/34/345202
  27. Paulo R Pinto. "STABILITY RESULTS FOR C*-UNITARIZABLE GROUPS". Annals of Functional Analysis (2011): https://publons.com/publon/16389966/.
  28. Paulo R. Pinto; Nuno Martins; C. Correia Ramos; Correia Ramos, C.; Martins, N.; Pinto, P.R.. "Interval maps from Cuntz–Krieger algebras". Journal of Mathematical Analysis and Applications 374 2 (2011): 347-354. https://publons.com/publon/7207518/.
    10.1016/J.JMAA.2010.09.045
  29. Monteiro, E.R.; Pinto, P.R.; Paulo R. Pinto; Eduardo R. Monteiro. "On Galois theory from subfactors". Chaos, Solitons and Fractals 42 1 (2009): 46-51. http://www.scopus.com/inward/record.url?eid=2-s2.0-67649604498&partnerID=MN8TOARS.
    10.1016/j.chaos.2008.10.028
  30. J. Sousa Ramos; Paulo R. Pinto; Nuno Martins; C. Correia Ramos; Correia Ramos, C.; Martins, N.; Pinto, P.R.; Sousa Ramos, J.. "Cuntz–Krieger algebras representations from orbits of interval maps". Journal of Mathematical Analysis and Applications 341 2 (2008): 825-833. https://publons.com/publon/7207522/.
    10.1016/J.JMAA.2007.10.059
  31. Correia Ramos, C.; Martins, N.; Pinto, P.R.; Sousa Ramos, J.. "Orbit equivalence and von Neumann algebras for expansive interval maps". Chaos, Solitons and Fractals 33 1 (2007): 109-117. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846827225&partnerID=MN8TOARS.
    10.1016/j.chaos.2006.09.083
  32. Pinto, P.R.. "Twisted quantum Zn modular data and braided subfactors". Journal of Physics A: Mathematical and Theoretical 40 31 (2007): 9387-9397. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547455806&partnerID=MN8TOARS.
    10.1088/1751-8113/40/31/015
  33. Paulo R. Pinto; Pinto, P.R.. "Simple current modular invariants from braided subfactors". Chaos Solitons & Fractals 33 1 (2007): 135-142. https://publons.com/publon/10567687/.
    10.1016/J.CHAOS.2006.10.039
  34. Evans, D.E.; Pinto, P.R.. "Subfactor realisation of modular invariants". Communications in Mathematical Physics 237 1-2 (2003): 309-363. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037634382&partnerID=MN8TOARS.
  35. Paulo R. Pinto; David E. Evans. "Subfactor Realisation of Modular Invariants". Communications in Mathematical Physics (2003): https://publons.com/publon/10567693/.
    10.1007/S00220-003-0862-0

Other

Other output
  1. Representations of Higman-Thompson groups from Cuntz algebras. 2020. R. Pinto, Paulo.
  2. Álgebras de Temperley-Lieb. 2011. Pinto, Paulo. http://www.math.ist.utl.pt/~ppinto/coelhopinto.pdf.