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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
Provided by PTCRIS: 126662
 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. Paulo R. Pinto; Filipe Viseu. "On the permutative representations of the Higman-Thompson groups". Journal of Mathematical Analysis and Applications (2026): https://doi.org/10.1016/j.jmaa.2026.130566.
    10.1016/j.jmaa.2026.130566
  2. C. Correia Ramos; Nuno Martins; Paulo R. Pinto. "Markov invariant dynamics and Cuntz–Krieger corner algebras". Advances in Operator Theory (2026): https://doi.org/10.1007/s43036-025-00492-4.
    10.1007/s43036-025-00492-4
  3. Nuno Carneiro; Paulo R. Pinto. "Decomposition of Thompson group representations arising from Cuntz algebras". Journal of Group Theory (2024): https://doi.org/10.1515/jgth-2023-0245.
    10.1515/jgth-2023-0245
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. R. Pinto, Paulo. "On graph algebras from interval maps". (2019): http://dx.doi.org/10.1215/20088752-2018-0019.
    10.1215/20088752-2018-0019
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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.
  20. 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.
  21. 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
  22. Pinto, Paulo. "Linear subspaces of C(K)". Boletim Soc. Port. mat. (2014): http://revistas.rcaap.pt/boletimspm/issue/view/431/showToc.
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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.
    10.15352/afa/1399900189
  29. 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
  30. Paulo R Pinto. "STABILITY RESULTS FOR C*-UNITARIZABLE GROUPS". Annals of Functional Analysis (2011): https://publons.com/publon/16389966/.
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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.
  38. 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.