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Samuel António Sousa Dias Lopes. É Professor Auxiliar no(a) Universidade do Porto e Professor Auxiliar no(a) Universidade do Porto Faculdade de Ciências. Publicou 16 artigos em revistas especializadas. Atua na(s) área(s) de Ciências Exatas com ênfase em Matemática. No seu currículo Ciência Vitae os termos mais frequentes na contextualização da produção científica, tecnológica e artístico-cultural são: Teoria de representação; teoria de anéis; álgebras não associativas; cohomologia de Hochschild; álgebra não comutativa; .
Identification

Personal identification

Full name
Samuel António Sousa Dias Lopes

Citation names

  • Lopes, Samuel
  • Lopes, Samuel A.

Author identifiers

Ciência ID
3113-E0A6-078E
ORCID iD
0000-0002-1292-0977

Telephones

Mobile phone
  • 965671879 (Personal)

Addresses

  • Rua do Campo Alegre, 687, 4169 007, Porto, Porto, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
French Intermediate (B1) Upper intermediate (B2) Elementary (A2) Intermediate (B1) Upper intermediate (B2)
Chinese Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1) Beginner (A1)
Education
Degree Classification
2022/01/07
Concluded
 Matemática (Título de Agregado)
Universidade do Porto Faculdade de Ciências, Portugal
 Aprovado por unanimidade
2003/12/21
Concluded
 PhD in Mathematics (Doctor of Philosophy)
Major in Representation Theory
University of Wisconsin-Madison Department of Mathematics, United States
"On the Structure and Representation Theory of the Quantized Enveloping Algebra $U_{q}(\mathbf{g})^{+}$ for $\mathbf{g}$ Semisimple" (THESIS/DISSERTATION)
 A
2000
Concluded
 Master's in Mathematics (Master)
University of Wisconsin-Madison Department of Mathematics, United States
 A
1997/07
Concluded
 Licenciatura em Matemática Pura (Licenciatura)
Major in Matemática Pura
Universidade do Porto Departamento de Matemática, Portugal
 18
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2023/08/16 - Current Associate Professor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2004/01/04 - 2023/08/15 Assistant Professor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
2021/09/01 - 2022/02/05 Invited Associate Professor (University Teacher) Guangdong Technion-Israel Institute of Technology, China
Guangdong Technion-Israel Institute of Technology, China
Projects

Grant

Designation Funders
2018 - 2018 Sabbatical Grant
SFRH/BSAB/135552/2018
Research Fellow
2018 - 2018 Poisson Generalized Weyl Algebras
London Mathematical Society (scheme 4---Research in Pairs)
Research Fellow
Concluded

Contract

Designation Funders
2021/01/01 - 2025/12/31 Laboratório Associado de Sistemas Inteligentes
LA/P/0104/2020
10.54499/LA/P/0104/2020
Universidade Nova de Lisboa Centro de Tecnologias e Sistemas, Portugal

Universidade de Aveiro Centro de Tecnologia Mecânica e Automação, Portugal

Instituto Politécnico do Porto Centro de Investigação em Sistemas Computacionais Embebidos e de Tempo-Real, Portugal

Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal

Universidade do Minho, Portugal

Instituto Politécnico do Cávado e do Ave, Portugal

Universidade do Porto Laboratório de Inteligência Artificial e Ciência de Computadores, Portugal

Universidade do Minho Instituto de Polímeros e Compósitos, Portugal

Universidade de Aveiro, Portugal

Universidade de Aveiro Instituto de Engenharia Eletrónica e Informática de Aveiro, Portugal

Universidade do Minho Centro ALGORITMI, Portugal

Universidade Nova de Lisboa Unidade de Investigação e Desenvolvimento em Engenharia Mecânica e Industrial, Portugal

Instituto Politécnico do Porto Instituto Superior de Engenharia do Porto, Portugal

Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Informatica e Sistemas, Portugal

Instituto Politécnico do Porto Grupo de Investigação em Engenharia e Computação Inteligente para a Inovação e o Desenvolvimento, Portugal

Universidade do Porto Faculdade de Engenharia, Portugal

Universidade NOVA de Lisboa, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2019/01/01 - 2019/12/31 Centre for Mathematics of the University of Porto
UID/MAT/00144/2019
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2013 - 2014 Mathematical Circles
Ciência Viva
Researcher
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 144 - 2011-2012
PEst-C/MAT/UI0144/2011
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010 - 2011 Automorphisms of generalized Weyl algebras
PT-Argentina bilateral cooperation
Principal investigator
2009 - 2011 Quantum groups and generalized Weyl algebras
PT-UK bilateral cooperation
Principal investigator
2007 - 2009 Rings with additional structures
GRICES bilateral cooperation agreement
Researcher
2004 - 2006 Interactions between algebras and coalgebras
GRICES/CAPES
Researcher
Concluded
Outputs

Publications

Journal article
  1. Ivan Kaygorodov; Mykola Khrypchenko; Samuel A. Lopes. "The geometric classification of nilpotent algebras". Journal of Algebra (2023): http://dx.doi.org/10.1016/j.jalgebra.2023.04.028.
    10.1016/j.jalgebra.2023.04.028
  2. Barreiro, Elisabete; Calderón, Antonio J.; Lopes, Samuel A.; Sánchez, José M.. "Leibniz algebras and graphs". Linear and Multilinear Algebra 71 12 (2023): 1994-2007. http://dx.doi.org/10.1080/03081087.2022.2092048.
    Published • 10.1080/03081087.2022.2092048
  3. Samuel A. Lopes; Farrokh Razavinia. "Quantum generalized Heisenberg algebras and their representations". Communications in Algebra 50 2 (2022): 463-483. https://doi.org/10.1080/00927872.2021.1959602.
    10.1080/00927872.2021.1959602
  4. Lopes, Samuel A.; Solotar, Andrea. "Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra". Journal of Noncommutative Geometry 15 4 (2021): 1373-1407. http://dx.doi.org/10.4171/jncg/439.
    10.4171/jncg/439
  5. Samuel A. Lopes; Farrokh Razavinia. "Structure and isomorphisms of quantum generalized Heisenberg algebras". Journal of Algebra and Its Applications (2021): https://doi.org/10.1142/S0219498822502048.
    10.1142/S0219498822502048
  6. Kaygorodov, I.; Lopes, S.A.; Mashurov, F.. "Actions of the additive group Gaon certain noncommutative deformations of the plane". Communications in Mathematics 29 2 (2021): 269-279. http://www.scopus.com/inward/record.url?eid=2-s2.0-85111300723&partnerID=MN8TOARS.
    10.2478/cm-2021-0024
  7. Kaygorodov, I.; Khrypchenko, M.; Lopes, S.A.. "The algebraic classification of nilpotent algebras". Journal of Algebra and its Applications (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85099611262&partnerID=MN8TOARS.
    10.1142/S0219498823500093
  8. Ivan Kaygorodov; Samuel A. Lopes; Pilar Páez-Guillán. "Non-associative central extensions of null-filiform associative algebras". Journal of Algebra 560 (2020): 1190-1210. https://doi.org/10.1016/j.jalgebra.2020.06.013.
    10.1016/j.jalgebra.2020.06.013
  9. Briand, E.; Lopes, S.A.; Rosas, M.. "Normally ordered forms of powers of differential operators and their combinatorics". Journal of Pure and Applied Algebra 224 8 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85077739041&partnerID=MN8TOARS.
    10.1016/j.jpaa.2020.106312
  10. Kaygorodov, I.; Khrypchenko, M.; Lopes, S.A.. "The algebraic and geometric classification of nilpotent anticommutative algebras". Journal of Pure and Applied Algebra 224 8 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85079430473&partnerID=MN8TOARS.
    10.1016/j.jpaa.2020.106337
  11. Kaygorodov, I.; Lopes, S.A.; Popov, Y.. "Degenerations of nilpotent associative commutative algebras". Communications in Algebra (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85077595772&partnerID=MN8TOARS.
    10.1080/00927872.2019.1691581
  12. Lopes, S.A.. "Non-Noetherian generalized Heisenberg algebras". Journal of Algebra and its Applications 16 4 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-84966389341&partnerID=MN8TOARS.
    10.1142/S0219498817500645
  13. Hernandez, A.; Kadison, L.; Lopes, S.A.. "A quantum subgroup depth". Acta Mathematica Hungarica 152 1 (2017): 166-185. http://www.scopus.com/inward/record.url?eid=2-s2.0-85013177949&partnerID=MN8TOARS.
    10.1007/s10474-017-0694-6
  14. Benkart, G.; Lopes, S.A.; Ondrus, M.. "A parametric family of subalgebras of the weyl algebra i. Structure and automorphisms". Transactions of the American Mathematical Society 367 3 (2015): 1993-2021. http://www.scopus.com/inward/record.url?eid=2-s2.0-84959852000&partnerID=MN8TOARS.
    10.1090/conm/602/12027
  15. Benkart, G.; Lopes, S.A.; Ondrus, M.. "Derivations of a parametric family of subalgebras of the Weyl algebra". Journal of Algebra 424 (2015): 46-97. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911909453&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2014.11.007
  16. Lopes, S.A.; Lourenço, J.N.P.. "A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra". Portugaliae Mathematica 72 4 (2015): 407-419. http://www.scopus.com/inward/record.url?eid=2-s2.0-84949766806&partnerID=MN8TOARS.
    10.4171/PM/1973
  17. Georgia Benkart; Samuel Lopes; Matthew Ondrus. "A parametric family of subalgebras of the Weyl algebra I. Structure and automorphisms". Transactions of the American Mathematical Society (2014): http://dx.doi.org/10.1090/s0002-9947-2014-06144-8.
    10.1090/s0002-9947-2014-06144-8
  18. Launois, S.; Lopes, S.A.. "Classification of factorial generalized down-up algebras". Journal of Algebra 396 (2013): 184-206. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884272075&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2013.08.012
  19. Lopes, Samuel. "A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules". Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory (2013): http://dx.doi.org/10.1090/conm/602/12027.
    10.1090/conm/602/12027
  20. Carvalho, P.A.A.B.; Lopes, S.A.; Matczuk, J.. "Double ore extensions versus iterated Ore extensions". Communications in Algebra 39 8 (2011): 2838-2848. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051816065&partnerID=MN8TOARS.
    10.1080/00927872.2010.489532
  21. Carvalho, P.A.A.B.; Lopes, S.A.. "Automorphisms of generalized down-up algebras". Communications in Algebra 37 5 (2009): 1622-1646. http://www.scopus.com/inward/record.url?eid=2-s2.0-69249205661&partnerID=MN8TOARS.
    10.1080/00927870802209987
  22. Launois, S.; Lopes, S.A.. "Automorphisms and derivations of Uq (s l4+)". Journal of Pure and Applied Algebra 211 1 (2007): 249-264. http://www.scopus.com/inward/record.url?eid=2-s2.0-34249061433&partnerID=MN8TOARS.
    10.1016/j.jpaa.2007.01.003
  23. Lopes, S.A.. "Primitive ideals of Uq(sln+)". Communications in Algebra 34 12 (2006): 4523-4550. http://www.scopus.com/inward/record.url?eid=2-s2.0-33845778846&partnerID=MN8TOARS.
    10.1080/00927870600936682
  24. Lopes, S.A.. "Separation of variables for Uq(sln+1)+". Canadian Mathematical Bulletin 48 4 (2005): 587-600. http://www.scopus.com/inward/record.url?eid=2-s2.0-28844457327&partnerID=MN8TOARS.
    10.4153/CMB-2005-054-8

Other

Other output
  1. The geometric classification of nilpotent algebras. 2021. Kaygorodov, I.; Khrypchenko, M.; Lopes, S.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85102163439&partnerID=MN8TOARS.
  2. Non-associative central extensions of null-filiform associative algebras. 2020. Kaygorodov, I.; Lopes, S.A.; Páez-Guillán, P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093323903&partnerID=MN8TOARS.
  3. Quantum generalized Heisenberg algebras and their representations. 2020. Lopes, S.A.; Razavinia, F.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094076932&partnerID=MN8TOARS.
  4. Structure and isomorphisms of quantum generalized Heisenberg algebras. 2020. Lopes, S.A.; Razavinia, F.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098364142&partnerID=MN8TOARS.
  5. The algebraic classification of nilpotent algebras. 2020. Kaygorodov, I.; Khrypchenko, M.; Lopes, S.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85099651274&partnerID=MN8TOARS.
  6. The algebraic and geometric classification of nilpotent anticommutative algebras1. 2020. Kaygorodov, I.; Khrypchenko, M.; Lopes, S.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098350405&partnerID=MN8TOARS.
  7. Lie structure on the hochschild cohomology of a family of subalgebras of the weyl algebra. 2019. LOPES, S.A.; SOLOTAR, A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095161517&partnerID=MN8TOARS.
  8. Degenerations of nilpotent associative commutative algebras 1 2. 2019. Kaygorodov, I.; Lopes, S.A.; Popov, Y.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098339098&partnerID=MN8TOARS.
  9. Normally ordered forms of powers of differential operators and their combinatorics. 2018. Briand, E.; Lopes, S.A.; Rosas, M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098361558&partnerID=MN8TOARS.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2022/10/01 - Current Poisson algebras, Strong Poisson Dixmier–Moeglin equivalence and applications
Supervisor
 Programa Doutoral em Matemática - Interuniversitário (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2022/09/01 - Current Compatible Lie algebras
Co-supervisor
 Programa Doutoral em Matemática e Aplicações (PhD)
Universidade de Santiago de Compostela Facultade de Matemáticas, Spain
2021/09/01 - 2022/08/15 Hecke Algebras and Topological Quantum Field Theories
Supervisor
 Mestrado em Matemática (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2018 - 2018 Quantum Generalized Heisenberg Algebras
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2016 - 2016 Dualidade de Schur-Weyl: uma perspectiva combinatória
Supervisor
 Matemática (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2014 - 2014 Florestas Racionais e Círculos Tangenciais
Supervisor
 Matemática para Professores (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2014 - 2014 Uma caraterização combinatória das árvores filogenéticas
Supervisor
 Matemática (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2013 - 2013 Uma Abordagem ao Problema de Steiner
Supervisor
 Matemática para Professores (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2013 - 2013 Os Frisos de Coxeter
Supervisor
 Matemática para Professores (Master)
Universidade do Porto Faculdade de Ciências, Portugal