Fabio Ferrari Ruffino

Professor Associado
Departamento de Matemática
Universidade Federal de São Carlos
Rod. Washington Luís, Km 235 - C.P. 676 - 13565-905 São Carlos, SP, Brasil

ferrariruffino@ufscar.br

Curriculum Vitae: Português – English

Pesquisa

Área de pesquisa: Topologia algébrica e diferencial, em particular teorias cohomológicas diferenciais; aplicações em física matemática, principalmente na teoria das cordas.

Artigos publicados e preprints:

2026 – FFR and Gabriel Longatto Clemente, Differential Homology, submetted preprint, arXiv:2608.05048

2025 – FFR, Graded Identities of the Virasoro Algebra, Journal of Algebra 674 (2025) 155-170, arXiv:2608.28721

2025 – FFR, Introduction to the Birch and Swinnerton-Dyer conjecture, Matemática Contemporânea, Volume 61, pages 153-173 (2025), arXiv:2608.25975

2023 – FFR, A. G. Hernandez Posada and J. C. Rocha Barriga, The Twisted and Differential Atiyah-Jänich Theorem, a ser revisado conferme as indicações do referee de Journal of Homotopy and Related Structures

2022 – B. G. Barbosa, FFR and J. C. Nuñez Maldonado, (Vertically-)Compactly-Supported and Relative Integration in Differential Cohomology, a ser revisado conferme as indicações do referee de Communications in Analysis and Geometry

2021 – FFR and J. C. Rocha Barriga, Relative Differential Cohomology and Generalized Cheeger-Simons Characters, Communications in Analysis and Geometry, Vol. 29, no. 4, pp. 921-1005, 2021, arXiv:1811.07035

2020 – FFR and J. C. Rocha Barriga, Twisted Differential K-Characters and D-Branes, Nuclear Physics B, Vol. 960, November 2020, 115169, https://doi.org/10.1016/j.nuclphysb.2020.115169, arXiv:2009.04223

2015 – FFR, Flat Pairing and Generalized Cheeger-Simons Characters, Journal of Homotopy and Related Structures (2015), DOI 10.1007/s40062-015-0124-9; arXiv:1208.1288

2015 – FFR, Differential K-Characters and D-Branes, Proceedings of String-Math 2014, em Proceedings of Symposia in Pure Mathematics, Volume 93 (2016); arXiv:1603.05323

2014 – FFR, Relative Differential Cohomology, Journal of Homotopy and Related Structures (2015) 10:923--937, DOI 10.1007/s40062-014-0088-1; arXiv:1401.1029

2013 – FFR, Relative Deligne Cohomology and Cheeger-Simons Characters, Communications in Analysis and Geometry, Volume 22, Number 3, 573–593, 2014; arXiv:1401.0631

2012 – FFR, Freed-Witten Anomaly and D-Brane Gauge Theories, Proceedings of String-Math 2011, em Proceedings of Symposia in Pure Mathematics, Volume 85 (2012) pp. 433-441; arXiv:1201.3235

2012 – FFR, Classifying A-Field and B-Field Configurations in the Presence of D-Branes - Part II: Stacks of D-branes, Nuclear Physics, Section B 858 (2012), pp. 377-404; arXiv:1104.2798

2009 – FFR, Topics on the geometry of D-brane charges and Ramond-Ramond fields, JHEP 11 (2009) 012; arXiv:0909.0689

2009 – L. Bonora, FFR and R. Savelli, Revisiting pinors and orientability, Bollettino U.M.I. (9) IV (2012); versão extensa em arXiv:0907.4334

2009 – FFR, Gysin Map and Atiyah-Hirzebruch Spectral Sequence, Bollettino U.M.I. (9) IV (2011); arXiv:0904.4103

2008 – L. Bonora, FFR and R. Savelli, Classifying A-Field and B-Field Configurations in the Presence of D-Branes, JHEP 12 (2008) 078; arXiv:0810.4291

2008 – FFR and R. Savelli, Comparing two Different K-Theoretical Classifications of D-Branes, Journal of Geometry and Physics 61 (2011) pp. 191-212; arXiv:0805.1009

2006 – FFR, The Topology of the Spectrum for Gelfand Pairs on Lie Groups, Bollettino U.M.I. (8) 10-B (2007), 569-579; arXiv:0706.0708

Livros publicados e aceitos

2025 – FFR, Naïve Set Theory – A Rigorous Approach, CRC Press – Taylor & Francis Group, ISBN 978-1-032-93304-7

2025 – FFR, Introdução à Geometria Algébrica – Das Variedades Algébricas aos Esquemas, aceito para publicação na Edusp

2013 – FFR, Topics on Topology and Superstring Theory, Ph. D. Thesis, LAP LAMBERT Academic Publishing, 2013, ISBN 978-3-659-36834-9; arXiv:0910.4524

Orientações na Pós-Graduação

Concluídas

Pós-Doutorado:

2019 – 2024: Juan Carlos Rocha Barriga, bolsa CAPES

2017 – 2018: Rodrigo Pires dos Santos, bolsa PNPD-CAPES

2015 – 2018: Julien Korinman, bolsa PNPD-CAPES

Doutorado:

2024 – 2024: Gabriel Longatto Clemente, Estágio BEPE com bolsa Fapesp, CIMAT – Mérida (México)

2018 – 2022: Alffer Gustavo Hernandez Posada, bolsa CAPES, Tese “Twisted Borel K-Theory and Isomorphisms between Differential Models of K-Theory”

2018 – 2022: Brenno Gustavo Barbosa, bolsa CAPES, Tese “Compactly-Supported and Relative Integration in Differential Cohomology”

2017 – 2021: Juan Carlos Nuñez Maldonado, bolsa CAPES, Tese “Differential Cohomology on Maps of Pairs and Relative-Parallel Product”

2014 – 2017: Juan Carlos Rocha Barriga, bolsa CAPES, Tese “Relative Differential Cohomology”

Mestrado:

2023 – 2025: Marina Maria de Miguel, bolsa CAPES, Dissertação “Introdução às Infinito-Categorias”

2020 – 2022: Gabriel Longatto Clemente, bolsa FAPESP, Dissertação “Ordinary and Twisted K-Theory”

Em andamento

Doutorado:

2022 – Hoje: Gabriel Longatto Clemente, bolsa FAPESP

Mestrado:

2024 – Hoje: Lucas Novo da Silva, bolsa FAPESP

2023 – Hoje: Laurinda Aparecida Ferreira de Morais, bolsa CAPES