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2011/11 - Ph.D., Faculty of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, 2008/06 - M.S., Faculty of Mechanics and Mathematics, V. N. Karazin Kharkiv National University, 2007/06 - B.S., Faculty of Mechanics and Mathematics, V. N. Karazin Kharkiv National University. Is Assistant Professor at Universidade Federal de Santa Catarina, Florianópolis, Brazil. Published 48 articles in journals. Organized 10 events. Participated in 80 events. Co-supervised 1 PhD thesis. Has received 2 awards. Participates and/or participated as Post-doc in 2 projects, Principal investigator in 2 projects and Researcher in 1 project. Works in the area of Algebra with emphasis on partial group actions, partial group cohomology, inverse semigroups, incidence algebras, transposed Poisson structures.
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Identification

Personal identification

Full name
Mykola Khrypchenko

Citation names

  • Khrypchenko, Mykola
  • Khripchenko, Nikolay
  • Khripchenko, N. S.
  • Khripchenko, N.

Author identifiers

Ciência ID
E515-2B26-7F06
ORCID iD
0000-0002-4504-3261
Google Scholar ID
g9UoiFoAAAAJ
Researcher Id
AAA-6943-2020
Scopus Author Id
56483227600

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Ukrainian (Mother tongue)
Russian (Mother tongue)
English Intermediate (B1) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Advanced (C1)
Portuguese Upper intermediate (B2) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Spanish; Castilian Elementary (A2) Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2008/09 - 2011/11
Concluded
 Faculty of Mechanics and Mathematics (Doctor)
Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine
"Finitary Incidence Rings" (THESIS/DISSERTATION)
2007/09/01 - 2008/06
Concluded
 Faculty of Mechanics and Mathematics (Master)
Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine
"Finitary incidence algebras" (THESIS/DISSERTATION)
 5.00 / 5.00
2003/09/01 - 2007/06
Concluded
 Faculty of Mechanics and Mathematics (Bachelor)
Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine
"The algebra of finitary series" (THESIS/DISSERTATION)
 4.89 / 5.00
Affiliation

Science

Category
Host institution 		Employer
2022/10/18 - 2024/08/13 Researcher (Research) Universidade do Porto Centro de Matemática, Portugal
Universidade do Porto Centro de Matemática, Portugal
2019/04/01 - 2020/03/17 Postdoc (Research) Fundação para a Ciência e a Tecnologia, Portugal
Universidade Nova de Lisboa, Portugal
2012/07/01 - 2015/06/30 Postdoc (Research) Fundação de Amparo à Pesquisa do Estado de São Paulo, Brazil
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil

Teaching in Higher Education

Category
Host institution 		Employer
2017/04/03 - Current Assistant Professor (University Teacher) Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/08/06 - 2017/04/03 Visiting Professor (University Teacher) Universidade Federal de Santa Catarina, Brazil
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2011/02 - 2012/06 Lecturer (University Teacher) Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine
Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine
Projects

Grant

Designation Funders
2019/02/18 - 2022/02/17 Finitary incidence algebras and their generalized derivations
404649/2018-1
Principal investigator
Universidade Federal de Santa Catarina, Brazil
 Conselho Nacional de Desenvolvimento Científico e Tecnológico
Ongoing
2019/04/01 - 2020/03/17 Semigroups: Conjugacy, Computation, Crystals and Combinatorics
PTDC/MAT-PUR/31174/2017
Post-doc
Universidade Nova de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2019/08/01 - 2019/08/30 Generalized Derivations of Non-associative Algebras
18/09299–2
Researcher
Universidade Federal do ABC, Brazil
 Conselho Nacional de Desenvolvimento Científico e Tecnológico
Concluded
2018/09/01 - 2018/09/30 Generalized Derivations of Incidence Algebras
451499/2018-2
Principal investigator
Universidade Federal de Santa Catarina, Brazil
 Conselho Nacional de Desenvolvimento Científico e Tecnológico
Concluded
2012/07/01 - 2015/06/30 Partial Actions and Representations, Cohomology and globalization
2012/01554-7
Post-doc
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
 Fundação de Amparo à Pesquisa do Estado de São Paulo
Concluded
Outputs

Publications

Journal article
  1. Fornaroli, Érica Z.; Khrypchenko, Mykola. "Skew derivations of incidence algebras". Collectanea Mathematica 76 1 (2025): 113-132. https://doi.org/10.1007/s13348-023-00423-7.
    Published • 10.1007/s13348-023-00423-7
  2. Kaygorodov, Ivan; Khrypchenko, Mykola; Páez-Guillán, Pilar. "The geometric classification of non-associative algebras: a survey". Communications in Mathematics Volume 32 (2024): https://doi.org/10.46298/cm.14458.
    10.46298/cm.14458
  3. Khrypchenko, Mykola. "¿-matching and interchangeable structures on certain associative algebras". Communications in Mathematics 33 3 (2024): 6.
    Published
  4. Kaygorodov, Ivan; Khrypchenko, Mykola. "Transposed Poisson structures on Lie incidence algebras". Journal of Algebra 647 (2024): 458-491. http://dx.doi.org/10.1016/j.jalgebra.2024.02.033.
    10.1016/j.jalgebra.2024.02.033
  5. Kaygorodov, Ivan; Khrypchenko, Mykola. "Transposed Poisson structures on the Lie algebra of upper triangular matrices". Portugaliae Mathematica 81 1 (2024): 135-149. http://dx.doi.org/10.4171/pm/2120.
    Published • 10.4171/pm/2120
  6. Jorge J. Garcés; Mykola Khrypchenko. "Bilinear maps on C¿-algebras that have product property at a compact element". Journal of Mathematical Analysis and Applications 534 1 (2024): 128076. https://doi.org/10.1016/j.jmaa.2023.128076.
    Published • 10.1016/j.jmaa.2023.128076
  7. Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A.. "The geometric classification of nilpotent algebras". Journal of Algebra 633 (2023): 857-886. http://dx.doi.org/10.1016/j.jalgebra.2023.04.028.
    Published • 10.1016/j.jalgebra.2023.04.028
  8. Kaygorodov, Ivan; Khrypchenko, Mykola. "Transposed Poisson Structures on Generalized Witt Algebras and Block Lie Algebras". Results in Mathematics 78 5 (2023): 186.
    Published • 10.1007/s00025-023-01962-y
  9. Érica Z. Fornaroli; Mykola Khrypchenko; Ednei A. Santulo, Jr.. "Regular Hom-Lie structures on incidence algebras". Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 122 3 (2023): 122. https://doi.org/10.1007/s13398-023-01454-2.
    Published • 10.1007/s13398-023-01454-2
  10. Kaygorodov, Ivan; Khrypchenko, Mykola. "Transposed Poisson structures on Witt type algebras". Linear Algebra and its Applications 665 (2023): 196-210. http://dx.doi.org/10.1016/j.laa.2023.02.003.
    Published • 10.1016/j.laa.2023.02.003
  11. Kaygorodov, Ivan; Khrypchenko, Mykola. "Transposed Poisson structures on Block Lie algebras and superalgebras". Linear Algebra and its Applications 656 (2023): 167-197. http://dx.doi.org/10.1016/j.laa.2022.09.024.
    Published • 10.1016/j.laa.2022.09.024
  12. Khrypchenko, M.; Siciliano, S.. "Identities and derived lengths of finitary incidence algebras and their group of units". Communications in Algebra (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85169791909&partnerID=MN8TOARS.
    10.1080/00927872.2023.2253464
  13. Jorge J. Garcés; Mykola Khrypchenko. "Linear maps preserving products equal to primitive idempotents of an incidence algebra". Journal of Algebra 612 (2022): 460-474. https://doi.org/10.1016/j.jalgebra.2022.09.002.
    Published • 10.1016/j.jalgebra.2022.09.002
  14. Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A.; Kaygorodov, I.; Khrypchenko, M.; Lopes, S.A.. "The algebraic classification of nilpotent algebras". Journal of Algebra and Its Applications 21 12 (2022): 2350009. http://dx.doi.org/10.1142/s0219498823500093.
    Published • 10.1142/s0219498823500093
  15. Fernández Ouaridi, Amir; Kaygorodov, Ivan; Khrypchenko, Mykola; Volkov, Yury. "Degenerations of nilpotent algebras". Journal of Pure and Applied Algebra 226 3 (2022): 106850. http://dx.doi.org/10.1016/j.jpaa.2021.106850.
    10.1016/j.jpaa.2021.106850
  16. Dokuchaev, Mikhailo; Khrypchenko, Mykola; Makuta, Mayumi. "Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups". Journal of Algebra 593 (2022): 341-397. http://dx.doi.org/10.1016/j.jalgebra.2021.11.017.
    Published • 10.1016/j.jalgebra.2021.11.017
  17. Fornaroli, Érica Z.; Khrypchenko, Mykola; Santulo, Ednei A.. "Proper Lie automorphisms of incidence algebras". Glasgow Mathematical Journal 64 3 (2022): 702-715. http://dx.doi.org/10.1017/s0017089522000015.
    10.1017/s0017089522000015
  18. Garcés, Jorge J.; Khrypchenko, Mykola. "Potent preservers of incidence algebras". Linear Algebra and its Applications 635 (2022): 171-200. http://dx.doi.org/10.1016/j.laa.2021.11.020.
    Published • 10.1016/j.laa.2021.11.020
  19. Khrypchenko, Mykola. "Isomorphisms and derivations of partial flag incidence algebras". International Journal of Algebra and Computation 32 01 (2022): 193-209. http://dx.doi.org/10.1142/s0218196722500084.
    Published • 10.1142/s0218196722500084
  20. Fornaroli, É.Z.; Khrypchenko, M.; Santulo, E.A.. "LIE AUTOMORPHISMS OF INCIDENCE ALGEBRAS". Proceedings of the American Mathematical Society 150 4 (2022): 1477-1492. http://www.scopus.com/inward/record.url?eid=2-s2.0-85124603902&partnerID=MN8TOARS.
    10.1090/proc/15786
  21. Dokuchaev, Mikhailo; Khrypchenko, Mykola; Kudryavtseva, Ganna. "Partial actions and proper extensions of two-sided restriction semigroups". Journal of Pure and Applied Algebra 225 9 (2021): 106649. http://dx.doi.org/10.1016/j.jpaa.2020.106649.
    Published • 10.1016/j.jpaa.2020.106649
  22. Kaygorodov, Ivan; Khrypchenko, Mykola; Popov, Yury. "The algebraic and geometric classification of nilpotent terminal algebras". Journal of Pure and Applied Algebra 225 6 (2021): 106625. http://dx.doi.org/10.1016/j.jpaa.2020.106625.
    Published • 10.1016/j.jpaa.2020.106625
  23. Dokuchaev, Mikhailo; Khrypchenko, Mykola; Simón, Juan Jacobo. "Globalization of partial cohomology of groups". Transactions of the American Mathematical Society 374 3 (2021): 1863-1898. http://dx.doi.org/10.1090/tran/8272.
    Published • 10.1090/tran/8272
  24. Kaygorodov, Ivan; Khrypchenko, Mykola. "Poisson structures on finitary incidence algebras". Journal of Algebra 578 (2021): 402-420. https://www.sciencedirect.com/science/article/pii/S0021869321001459?via%3Dihub.
    Published • 10.1016/j.jalgebra.2021.03.011
  25. Ivan Kaygorodov; Mykola Khrypchenko. "The algebraic classification of nilpotent CD-algebras". Linear and Multilinear Algebra 70 19 (2020): 3840-3886. https://doi.org/10.1080/03081087.2020.1856030.
    10.1080/03081087.2020.1856030
  26. Dokuchaev, Mikhailo; Khrypchenko, Mykola; Makuta, Mayumi. "The third partial cohomology group and existence of extensions of semilattices of groups by groups". Forum Mathematicum 32 5 (2020): 1297-1313. http://dx.doi.org/10.1515/forum-2019-0281.
    Published • 10.1515/forum-2019-0281
  27. Kaygorodov, Ivan; Khrypchenko, Mykola. "The geometric classification of nilpotent C>¿-algebras". Journal of Algebra and Its Applications (2020): 2150198. http://dx.doi.org/10.1142/s021949882150198x.
    In press • 10.1142/s021949882150198x
  28. Ilya Gorshkov; Ivan Kaygorodov; Mykola Khrypchenko. "The algebraic classification of nilpotent Tortkara algebras". Communications in Algebra 48 1 (2020): 1-16. https://doi.org/10.1080/00927872.2020.1742347.
    10.1080/00927872.2020.1742347
  29. Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A.. "The algebraic and geometric classification of nilpotent anticommutative algebras". Journal of Pure and Applied Algebra 224 8 (2020): 106337. http://dx.doi.org/10.1016/j.jpaa.2020.106337.
    Published • 10.1016/j.jpaa.2020.106337
  30. Mikhailo Dokuchaev; Mykola Khrypchenko; Juan Jacobo Simón. "Globalization of group cohomology in the sense of Alvares-Alves-Redondo". Journal of Algebra 546 (2020): 604-640. https://doi.org/10.1016/j.jalgebra.2019.11.009.
    10.1016/j.jalgebra.2019.11.009
  31. Khrypchenko, Mykola; Wei, Feng. "Lie-type derivations of finitary incidence algebras". Rocky Mountain Journal of Mathematics 50 1 (2020): 163-175. http://dx.doi.org/10.1216/rmj.2020.50.163.
    Published • 10.1216/rmj.2020.50.163
  32. Brusamarello, Rosali; Fornaroli, Érica Z.; Khrypchenko, Mykola. "Jordan isomorphisms of the finitary incidence ring of a partially ordered category". Colloquium Mathematicum 159 2 (2020): 285-307. http://dx.doi.org/10.4064/cm7777-1-2019.
    Published • 10.4064/cm7777-1-2019
  33. Gorshkov, Ilya; Kaygorodov, Ivan; Khrypchenko, Mykola. "The geometric classification of nilpotent Tortkara algebras". Communications in Algebra 48 1 (2019): 204-209. http://dx.doi.org/10.1080/00927872.2019.1635612.
    Published • 10.1080/00927872.2019.1635612
  34. Mykola Khrypchenko. "Partial actions and an embedding theorem for inverse semigroups". Periodica Mathematica Hungarica 78 1 (2019): 47-57. https://doi.org/10.1007/s10998-018-0257-9.
    10.1007/s10998-018-0257-9
  35. Kaygorodov, Ivan; Khrypchenko, Mykola; Wei, Feng. "Higher Derivations of Finitary Incidence Algebras". Algebras and Representation Theory 22 6 (2019): 1331-1341. http://dx.doi.org/10.1007/s10468-018-9822-4.
    Published • 10.1007/s10468-018-9822-4
  36. Mikhailo Dokuchaev; Mykola Khrypchenko. "Corrigendum to “Partial cohomology of groups” [J. Algebra 427 (2015) 142–182]". Journal of Algebra 506 (2018): 592-596. https://doi.org/10.1016/j.jalgebra.2018.03.033.
    10.1016/j.jalgebra.2018.03.033
  37. MYKOLA KHRYPCHENKO; BORIS NOVIKOV. "REFLECTORS AND GLOBALIZATIONS OF PARTIAL ACTIONS OF GROUPS". Journal of the Australian Mathematical Society 104 03 (2018): 358-379. https://doi.org/10.1017/S1446788717000167.
    10.1017/S1446788717000167
  38. Mikhailo Dokuchaev; Mykola Khrypchenko. "Partial cohomology of groups and extensions of semilattices of abelian groups". Journal of Pure and Applied Algebra (2017): https://doi.org/10.1016%2Fj.jpaa.2017.11.005.
    10.1016/j.jpaa.2017.11.005
  39. M. Khrypchenko. "Local derivations of finitary incidence algebras". Acta Mathematica Hungarica 154 1 (2017): 48-55. https://doi.org/10.1007%2Fs10474-017-0758-7.
    10.1007/s10474-017-0758-7
  40. MIKHAILO DOKUCHAEV; MYKOLA KHRYPCHENKO. "TWISTED PARTIAL ACTIONS AND EXTENSIONS OF SEMILATTICES OF GROUPS". International Journal of Algebra and Computation (2017): https://doi.org/10.1142%2Fs0218196717500424.
    10.1142/s0218196717500424
  41. Xian Zhang; Mykola Khrypchenko. "Lie derivations of incidence algebras". Linear Algebra and its Applications 513 (2017): 69-83. https://doi.org/10.1016/j.laa.2016.10.011.
    10.1016/j.laa.2016.10.011
  42. Brusamarello, R.; Fornaroli, É.Z.; Khrypchenko, M.. "Jordan isomorphisms of finitary incidence algebras". Linear and Multilinear Algebra (2017): 1-15. http://www.scopus.com/inward/record.url?eid=2-s2.0-85016119763&partnerID=MN8TOARS.
    10.1080/03081087.2017.1306019
  43. Khrypchenko, M.. "Jordan derivations of finitary incidence rings". Linear and Multilinear Algebra 64 10 (2016): 2104-2118. http://www.scopus.com/inward/record.url?eid=2-s2.0-84958043569&partnerID=MN8TOARS.
    10.1080/03081087.2016.1139036
  44. M. Dokuchaev; M. Khrypchenko. "Partial cohomology of groups". Journal of Algebra 427 (2015): 142-182. https://doi.org/10.1016/j.jalgebra.2014.11.030.
    10.1016/j.jalgebra.2014.11.030
  45. Khripchenko, N. S.. "DERIVATIONS OF FINITARY INCIDENCE RINGS". Communications in Algebra 40 7 (2012): 2503-2522. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000306211800019&KeyUID=WOS:000306211800019.
    10.1080/00927872.2011.580441
  46. Khripchenko, N. S.. "Regular elements of finitary incidence rings". 1 (2010): 28-30.
    Published
  47. Khripchenko, N. S.. "Finitary incidence algebras of quasiorders". Matematychni Studii 34 1 (2010): 30-37.
    Published
  48. Khripchenko, N. S.. "Automorphisms of finitary incidence rings". Algebra and Discrete mathematics 9 2 (2010): 78-97.
    Published
  49. Khripchenko, N. S.; Novikov, B. V.. "Finitary Incidence Algebras". Communications in Algebra 37 5 (2009): 1670-1676. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000265856100014&KeyUID=WOS:000265856100014.
    10.1080/00927870802210019
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2025/02/10 Talk: Invertibility preservers of finitary incidence algebras Workshop de Verão 2025
Universidade federal de Campina Grande (Campina Grande, Brazil)
2023/10/16 Talk: Transposed Poisson structures on Lie incidence algebras Mini-Workshop: Poisson and Poisson-type algebras
Mathematisches Forschungsinstitut Oberwolfach (Oberwolfach, Germany)
2022/09/02 Incidence algebras Colóquio de Matemática
Universidade Federal de Santa Catarina (Florianópolis, Brazil)
2022/06/29 Partial group cohomology and its interpretations Seminários de Álgebra do PPGMat/UFCG
UFCG (Campina Grande, Brazil)
2022/01/21 Incidence algebras and their Lie automorphisms II Seminário do Departamento de Matemática
Universidade da Beira Interior (Covilhã, Portugal)
2022/01/14 Incidence algebras and their Lie automorphisms I Seminário do Departamento de Matemática
Universidade da Beira Interior (Covilhã, Portugal)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2022/03/01 - 2024/02/22 Partial monoid actions on objects in categories with pullbacks and their globalizations
Co-supervisor
Universidade Federal de Santa Catarina, Brazil
2017/09 - 2020/03 Existence of extensions of semilattices of groups by groups, cohomology, and crossed modules for inverse semigroups
Co-supervisor
Universidade de São Paulo, Brazil

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2024/01/29 - 2024/02/09 CIMPA school "Current Trends in Algebra" (2024/01/29 - 2024/02/09)
Other (Member of the Organising Committee)
 Mindanao State University, Philippines

Negros Oriental State University, Philippines
2023/12/04 - 2023/12/15 CIMPA school "Non-associative Algebras and related topics" (2023/12/04 - 2023/12/15)
Other (Member of the Organising Committee)
 Universidade Federal do Espírito Santo, Brazil
2022/07/01 - 2023/06/30 Madagascar algebra project --- Non-associative Algebras and their Applications 2022/2023 (2022/07/01 - 2023/06/30)
Other (Member of the Organising Committee)
 Université d'Antananarivo, Madagascar
2021/08/30 - 2021/09/11 CIMPA school "Non-associative Algebras and their Applications" (2021/08/30 - 2021/09/11)
Other
 Université d'Antananarivo, Madagascar
2020/02/03 - 2020/02/07 III International Workshop on Non-Associative Algebras (2020/02/03 - 2020/02/07)
Workshop (Member of the Organising Committee)
 Universidad de Málaga, Spain
2019/09/02 - 2019/09/27 Madagascar algebra project 2019--2021 --- Non-associative Algebras and their Applications (2019/09/02 - 2019/09/27)
Other (Member of the Organising Committee)
 Université d'Antananarivo, Madagascar
2019/04/29 - 2019/05/03 International Workshop on Non-Associative Algebras in Porto (2019/04/29 - 2019/05/03)
Workshop (Member of the Organising Committee)
 Universidade do Porto Centro de Matemática, Portugal
2018/04/25 - 2018/04/28 X Jornada de Álgebra (2018/04/25 - 2018/04/28)
Conference (Member of the Organising Committee)
 Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2009/08/18 - 2009/08/23 7th International Algebraic Conference in Ukraine (2009/08/18 - 2009/08/23)
Conference (Member of the Organising Committee)
 Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine

Event participation

Activity description
Type of event 		Event name
Institution / Organization
2024/06/07 - 2024/06/07 Talk: Invertibility preservers of finitary incidence algebras
Workshop
 https://sites.google.com/view/nonassociativedaycovilha2024
Universidade da Beira Interior, Portugal
2023/12/11 - 2023/12/15 Mini-course: Incidence algebras (5h)
Other
 CIMPA 2023 Non-associative Algebras and related topics
Universidade Federal do Espírito Santo, Brazil
2023/11/29 - 2023/11/29 Talk: Transposed Poisson structures on Lie incidence algebras
Seminar
 Inform on Algebra,
Università del Salento, Italy
2023/11/24 - 2023/11/24 Talk: Transposed Poisson structures on general Block Lie algebras
Workshop
 IX Non-Associative Day in Covilhã
Universidade da Beira Interior, Portugal
2023/11/14 - 2023/11/14 Talk: Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups
Seminar
 Algebra, Logic and Topology Seminar
Universidade de Coimbra Centro de Matemática, Portugal
2023/07/03 - 2023/07/07 Talk: Transposed Poisson structures on the Lie algebra of upper triangular matrices
Conference
 14th Ukraine Algebra Conference
Sums'kij derzhavnij universitet, Ukraine
2023/06/19 - 2023/06/23 Talk: Regular Hom-Lie structures on Incidence Algebras
Workshop
 VI International Workshop on Non-Associative Algebras in Madrid
Universidad Politécnica de Madrid, Spain
2023/06/08 - 2023/06/08 Talk: Regular Hom-Lie structures on Incidence Algebras
Seminar
 Seminar Seminar "Hopf algebras, quantum groups and monoidal categories"
Université Libre de Bruxelles, Belgium
2023/01/20 - 2023/01/20 Talk: Transposed Poisson structures on Block Lie algebras and superalgebras
Meeting
 VI Non-Associative Day in Barcelos
Instituto Politécnico do Cávado e do Ave, Portugal
2022/12/27 - 2022/12/28 Talk: Transposed Poisson structures on Block Lie algebras and superalgebras
Conference
 International Algebraic Conference “At the End of the Year 2022”
Kiivs'kij nacional'nij universitet imeni Tarasa Sevcenka, Ukraine
2022/11/21 - 2022/11/21 Talk: Transposed Poisson structures on Block Lie algebras and superalgebras
Seminar
 Seminar “Operator algebras and their applications”
Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, Uzbekistan
2022/02/07 - 2022/02/18 Talk: Crossed modules over inverse semigroups, crossed module extensions and their cohomological interpretation
Other
 CIMPA 2022 From Dynamics to Algebra and Representation Theory and back
Universidade Federal de Santa Catarina, Brazil
2022/01/14 - 2022/01/14 Talk: Incidence algebras and their Lie automorphisms I
Seminar
2022/01/12 - 2022/01/12 Talk: Potent preservers of incidence algebras
Seminar
2021/10/26 - 2021/10/26 Crossed module extensions of inverse semigroups and the third inverse semigroup cohomology group
Seminar
 Seminar on "Noncommutative rings and applications"
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2021/08/30 - 2021/09/10 Talk: Lie Automorphisms of Incidence Algebras
Other
 CIMPA Research School "Non-associative Algebras and their Applications"
Université d'Antananarivo, Madagascar
2021/08/26 - 2021/08/26 Talk: Crossed modules over inverse semigroups and the third inverse semigroup cohomology group
Seminar
 Math Seminar
UAE University Department of Mathematical Sciences, United Arab Emirates
2021/05/04 - 2021/05/04 Talk: Inverse semigroup cohomology and crossed module extensions of inverse semigroups
Seminar
 C*-web-seminar
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2020/02/03 - 2020/02/07 Talk: Lie Automorphisms of Incidence Algebras
Workshop
 III International Workshop on Non-Associative Algebras in Málaga
Universidad de Málaga, Spain
2019/09/20 - 2019/09/20 Talk: Proper morphisms of two-sided restriction semigroups
Seminar
 Semigroups, Automata and Languages Seminar
Universidade do Porto Centro de Matemática, Portugal
2019/08/12 - 2019/08/12 Talk: Classification of Finite-dimensional Nilpotent Algebras
Seminar
 Seminário de Matemática
Universidade Federal de São Paulo, Brazil
2019/06/27 - 2019/06/29 Talk: Partial actions and proper extensions of two-sided restriction semigroups
Workshop
 Portuguese Workshop on Semigroups
Universidade de Coimbra, Portugal
2019/06/12 - 2019/06/12 Talk: Algebraic and Geometric Classification of Nilpotent Tortkara Algebras
Seminar
 Seminário da Linha de Álgebra e Combinatória
Universidade de Coimbra, Portugal
2019/05/06 - 2019/05/06 Talk: Globalization of group cohomology in the sense of Alvares-Alves-Redondo
Seminar
 Seminário de Álgebra e Lógica
Universidade Nova de Lisboa, Portugal
2019/04/29 - 2019/05/03 Talk: Nilpotent Tortkara Algebras of Dimension 6
Workshop
 International Workshop on Non-Associative Algebras in Porto
Universidade do Porto Centro de Matemática, Portugal
2019/03/07 - 2019/03/07 Talk: Partial group cohomology in the sense of Alvares-Alves-Redondo and its globalization
Seminar
 Seminário de Álgebra
Universidade Estadual de Campinas Instituto de Matemática Estatística e Computação Científica, Brazil
2019/02/25 - 2019/02/27 Talk: Lie-type Derivations of Finitary Incidence Algebras
Workshop
 Summer School
Universidade Estadual de Maringá, Brazil
2018/08/08 - 2018/08/08 Talk: Higher Derivations of Finitary Incidence Algebras
Seminar
 Seminar of the Department of Mathematics
Universidade Estadual de Maringá, Brazil
2018/07/20 - 2018/07/20 Talk: Finitary Incidence Algebras
Seminar
 Seminar of the Department of Mathematics
Universidad Nacional de Asunción, Paraguay
2018/04/25 - 2018/04/28 Talk: Globalization of the partial group cohomology in the sense of Alvares-Alves-Redondo
Conference
 X Jornada de Álgebra
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2018/02/21 - 2018/02/24 Talk: Jordan Isomorphisms of Finitary Incidence Algebras
Workshop
 First International Workshop “Non-associative algebras in Cádiz”
Universidad de Cádiz, Spain
2018/02/14 - 2018/02/14 Talk: Globalization of partial cohomology of groups
Seminar
 Seminar of the Department of Mathematics
Universidad de Murcia - Campus de Espinardo, Spain
2018/02/06 - 2018/02/06 Talk: An embedding theorem for restriction semigroups
Seminar
 Seminar of algebra and functional analysis
Instituta za matematiko fiziko in mehaniko, Slovenia
2017/10/31 - 2017/10/31 Talk: Partial actions and O’Carroll’s theorem for restriction semigroups (Part III)
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2017/10/24 - 2017/10/24 Talk: Partial actions and O’Carroll’s theorem for restriction semigroups (Part II)
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2017/10/17 - 2017/10/17 Talk: Partial actions and O’Carroll’s theorem for restriction semigroups
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2017/09/25 - 2017/09/25 Talk: Universal Algebra Approach to the Globalization Problem for Partial Group Actions (Part III)
Seminar
 Seminário de álgebras de Hopf a Categorias Monoidais
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2017/09/04 - 2017/09/04 Talk: Universal Algebra Approach to the Globalization Problem for Partial Group Actions (Part II)
Seminar
 Seminário de álgebras de Hopf a Categorias Monoidais
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2017/08/28 - 2017/08/28 Talk: Universal Algebra Approach to the Globalization Problem for Partial Group Actions
Seminar
 Seminário de álgebras de Hopf a Categorias Monoidais
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2017/07/24 - 2017/07/24 Talk: Local Derivations of Finitary Incidence Algebras
Seminar
 Baylor math colloquium
Baylor University, United States
2017/01/26 - 2017/01/26 Talk: Partial actions and a theorem of O’Carroll
Seminar
 Seminar of algebra and functional analysis
Instituta za matematiko fiziko in mehaniko, Slovenia
2017/01/19 - 2017/01/19 Talk: Partial group cohomology as a cohomology of E-unitary inverse semigroups
Seminar
 Seminar of the Department of Mathematics
Universidad de Murcia - Campus de Espinardo, Spain
2016/05/13 - 2016/05/13 Talk: Partial cohomology of groups and cohomology of E-unitary inverse semigroups
Seminar
 Colóquio de Matemática
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/11/03 - 2015/11/03 Talk: The extensions of semilattices of groups which come from twisted partial actions – IV
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/10/27 - 2015/10/27 Talk: The extensions of semilattices of groups which come from twisted partial actions – III
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/10/20 - 2015/10/20 Talk: The extensions of semilattices of groups which come from twisted partial actions – II
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/10/13 - 2015/10/13 Talk: The extensions of semilattices of groups which come from twisted partial actions – I
Seminar
 Seminário de álgebra de operadores
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/06/02 - 2015/06/02 Talk: Extensions of semilattices of groups by groups (part II)
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2015/05/26 - 2015/05/26 Talk: Extensions of semilattices of groups by groups
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2014/12/08 - 2014/12/12 Talk: Actions of E-unitary inverse monoids and partial actions of groups
Conference
 XX Coloquio Latinoamericano de Álgebra
Pontificia Universidad Católica del Perú, Peru
2014/12/01 - 2014/12/05 Talk: The Exel’s construction as an adjoint functor
Conference
 Conference in Ring Theory dedicated to the 60th birthday of Professor Eduardo Marcos
Universidade Federal do Espírito Santo, Brazil
2014/11/04 - 2014/11/04 Talk: Actions of E-unitary inverse monoids and partial actions of groups
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2014/10/06 - 2014/10/06 Talk: Partial cohomology of groups and cohomology of inverse monoids
Seminar
 Seminário de Topologia
Universidad Industrial de Santander, Colombia
2014/09/29 - 2014/09/29 Talk: Partial cohomology of groups and cohomology of inverse monoids
Seminar
 Seminário de Álgebra Constructiva (SAC²)
Universidad Nacional de Colombia, Colombia
2014/08/11 - 2014/08/15 Talk: Twisted partial actions of groups on semilattices of groups
Conference
 ALTENCOA6
Universidad de Nariño, Colombia
2014/05/11 - 2014/05/15 Talk: Extensions of semilattices of groups arising from partial actions of groups
Symposium
 Partial Actions and Representations Symposium
Universidade Federal do Rio Grande do Sul, Brazil
2014/04/28 - 2014/05/02 Talk: Actions of E-unitary inverse monoids vs partial actions of groups
Conference
 3º Colóquio de Matemática da Região Sul
Universidade Federal de Santa Catarina, Brazil
2014/03/20 - 2014/03/24 Talk: From actions of inverse monoids with an idempotent pure group congruence to partial actions of groups
Conference
 Colóquio de Álgebra e Representações — Quantum 2014
Universidade Federal de Santa Maria, Brazil
2014/01/22 - 2014/01/28 Talk: Partial cohomology of groups and extensions of commutative inverse monoids
Conference
 Geometric and Algorithmic Problems for Groups and Rings
Universidad Nacional Autonoma de Mexico Instituto de Matemáticas Unidad Cuernavaca, Mexico
2013/10/28 - 2013/10/30 Talk: Extensions of inverse partial G-modules
Conference
 Groups, Group Rings and Related Topics
United Arab Emirates University, United Arab Emirates
2013/10/08 - 2013/10/08 Talk: Extensions of inverse partial G-modules
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2013/07/08 - 2013/07/13 Talk: Partial cohomology of groups
Conference
 IX International Algebraic conference in Ukraine
L'vivs'kij nacional'nij universitet imeni Ivana Franka, Ukraine
2013/06/18 - 2013/06/18 Talk: Partial cohomology of groups (part V)
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2013/06/11 - 2013/06/11 Talk: Partial cohomology of groups (part IV)
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2013/06/04 - 2013/06/04 Talk: Partial cohomology of groups (part III)
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2013/05/24 - 2013/05/25 Poster: From actions of E-unitary inverse semigroups to partial actions of groups
Workshop
 Workshop “Young Researchers in Algebra”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2012/12/11 - 2012/12/14 Talk: Partial actions of groups on semigroups
Conference
 XIX Coloquio Latinoamericano de Álgebra
Universidad de La Frontera, Chile
2012/11/19 - 2012/11/21 Talk: Partial actions of groups on groups
Workshop
 I Workshop sobre Ações Parciais e Representações Parciais
Universidade Federal do Rio Grande do Sul, Brazil
2012/11/06 - 2012/11/06 Talk: On the existence of a globalization of a partial action (Part 2)
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2012/10/16 - 2012/10/16 Talk: On the existence of a globalization of a partial action
Seminar
 Seminário “Grupos, anéis e álgebras: interações e aplicações”
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2012/07/23 - 2012/07/28 Talk: Partial actions of groups on groupoids
Conference
 Groups, Rings and Group Rings 2012
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2011/07/05 - 2011/07/12 Talk: Derivations of finitary incidence rings
Conference
 8th International Algebraic Conference in Ukraine,
Lugans'kij nacional'nij universitet imeni Tarasa Sevcenka, Ukraine
2010/08/05 - 2010/08/08 Talk: Automorphisms of finitary incidence rings
Workshop
 Humoldt Kolleg “Mathematics and life sciences: possibilities, interlacements and limits”
Kiivs'kij nacional'nij universitet imeni Tarasa Sevcenka, Ukraine
2009/11/19 - 2009/11/22 Talk: The isomorphism problem for finitary incidence rings
Workshop
 Humoldt Kolleg “Humboldt Cosmos: Science and Society”
Kiivs'kij nacional'nij universitet imeni Tarasa Sevcenka, Ukraine
2009/08/18 - 2009/08/23 Talk: The isomorphism problem for finitary incidence rings
Conference
 7th International Algebraic Conference in Ukraine
Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine
2007/07/18 - 2007/07/23 Talk: Finitary incidence algebras
Conference
 6th International Algebraic Conference in Ukraine
Kam'anec-Podil'skij nacional'nij universitet imeni Ivana Ogienka, Ukraine

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2025/02/24 Operator Algebras over the p-adic integers
Thesis Member
 Luiz Felipe Garcia (Master)
Universidade Federal de Santa Catarina, Brazil
2024/12/11 Álgebra base e o centro de uma categoria monoidal
Thesis Member
 Vinícius Scussel Accordi (Master)
Universidade Federal de Santa Catarina, Brazil
2023/05/26 Special Tortkara algebras and assosymmetric algebras
(Thesis) Arguer
 Farukh Mashurov (PhD)
Kazakh-British Technical University, Kazakhstan
2023/02/28 Um estudo sobre ações e representações parciais
Thesis Member
 Gabriel Cordeiro Chileider (Master)
Universidade Federal do Paraná, Brazil
2023/02/28 Um estudo sobre ações e representações parciais
Thesis Member
 Gabriel Cordeiro Chileider (Master)
Universidade Federal do Paraná, Brazil
2023/02/27 Anti-automorphisms and involutions on finitary incidence algebras and idealizations of the incidence spaces
Thesis Member
 Roger Emanuel Moraes Pezzott (PhD)
Universidade Estadual de Maringá, Brazil
2021/02/24 Lie derivations on incidence algebras
Thesis Member
 Igor José do Nascimento (Master)
Universidade Estadual de Maringá, Brazil
2020/08/21 Group cohomology based on partial representations
Thesis Member
 Emmanuel Jerez Usuga (Master)
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2019/02/26 Automorphisms of finitary incidence algebras and idealizations of incidence spaces
Thesis Member
 Roger Emanuel Moraes Pezzott (Master)
Universidade Estadual de Maringá, Brazil
2018/11/29 Partial Actions of Inverse Semigroups and Their Associated Algebras
Thesis Member
 Viviane Maria Beuter (PhD)
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2018/09/28 Cohomology for partial actions of Hopf algebras
Thesis Member
 Mateus Medeiros Teixeira (PhD)
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2018/02/27 An exact sequence related to an extension of rings and a partial representation
Thesis Member
 Josefa Itailma da Rocha (PhD)
Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
2017/06/23 Tanaka-Krein duality theorem
Thesis Member
 Jádina Amaro (Master)
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2016/09/09 C*-algebras of E-unitary inverse semigroups
Thesis Member
 Alessandra Piske (Master)
Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil

Conference scientific committee

Conference name Conference host
2021/01/04 - 2021/02/12 XXII Escola de Verão - 2021 Universidade Federal de Santa Catarina

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2020/08 - 2020/12 Analytic Geometry (Licence) Universidade Federal de Santa Catarina, Brazil
2020/08 - 2020/12 Calculus I (Licence) Universidade Federal de Santa Catarina, Brazil
2018/07 - 2018/12 Financial Mathematics I (Licence) Universidade Federal de Santa Catarina, Brazil
2018/07 - 2018/12 Calculus IV (Licence) Universidade Federal de Santa Catarina, Brazil
2018/07/09 - 2018/07/20 Measure and Integration (Master) Universidad Nacional de Asunción, Paraguay
2018/02 - 2018/07 Calculus IV (Licence) Universidade Federal de Santa Catarina, Brazil
2018/02 - 2018/07 Precalculus (Licence) Universidade Federal de Santa Catarina, Brazil
2017/07 - 2017/12 Calculus I (Licence) Universidade Federal de Santa Catarina, Brazil
2017/07 - 2017/12 Algebra II (Bachelor) Universidade Federal de Santa Catarina, Brazil
2017/03 - 2017/07 Analytic Geometry (Licence) Universidade Federal de Santa Catarina, Brazil
2017/03 - 2017/07 Analytic Geometry Universidade Federal de Santa Catarina, Brazil
2017/03 - 2017/07 Analytic Geometry (Licence) Universidade Federal de Santa Catarina, Brazil
2016/08 - 2016/12 Mathematics for Administrators (Licence)
2016/08 - 2016/12 Calculus C (Licence) Universidade Federal de Santa Catarina, Brazil
2016/03 - 2016/07 Financial Mathematics (Licence) Universidade Federal de Santa Catarina, Brazil
2016/03 - 2016/07 Calculus A (Licence)
2015/08 - 2015/12 Quantitative Geometry I (Licence) Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
2015/08 - 2015/12 Analytic Geometry (Licence) Universidade Federal de Santa Catarina, Brazil
2011/02 - 2012/06 Mathematical Logic and Algorithms Theory (Bachelor) Harkivs'kij nacional'nij universitet imeni V N Karazina, Ukraine

Other jury / evaluation

Activity description Institution / Organization
2022/12/09 - 2022/12/09 Ph.D. qualification exam in Algebra of Aline Jaqueline de Oliveira Andrade working on the theme "Aplicações em *-álgebras alternativas" Universidade Federal do ABC, Brazil
2020/02/17 - 2020/02/17 Ph.D. qualification exam of Willian Velasco working on the theme "Algebras of expanded structures" Universidade Federal do Paraná, Brazil
2017/08/15 - 2017/08/15 Ph.D. qualification exam of Mateus Teixeira working on the theme "Partial cohomology of Hopf algebras" Universidade Federal de Santa Catarina Centro de Ciências Físicas e Matemáticas, Brazil
Distinctions

Award

2011 N. I. Akhiezer scholarship
2009 I. Ye. Tarapov scholarship