Fabio Ferrari Ruffino

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

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:

• FFR and J. C. Rocha Barriga, Relative differential cohomology and generalized Cheeger-Simons characters, Communications in Analysis and Geometry, Vol. 29, no. 4, 2021 (accepted in 2018), arXiv:1811.07035

• 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

• 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

• FFR, Relative differential cohomology, Journal of Homotopy and Related Structures (2015) 10:923--937, DOI 10.1007/s40062-014-0088-1; arXiv:1401.1029

• 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

• FFR, Relative Deligne cohomology and Cheeger-Simons characters, Communications in analysis and geometry, Volume 22, Number 3, 573–593, 2014; arXiv:1401.0631

• 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

• 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

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

• FFR, Gysin map and Atiyah-Hirzebruch spectral sequence, Bollettino U.M.I. (9) IV (2011); arXiv:0904.4103

• 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

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

• 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

• 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

• FFR, Topics on topology and superstring theory, Ph. D. Thesis, LAP LAMBERT Academic Publishing, 2013, ISBN 978-3-659-36834-9; arXiv:0910.4524

Didática

Notas de aula

• Introdução à topologia diferencial e algébrica
  
  Volume 0 – Noções preliminares (a ser completado e revisado)
  Volume I – Topologia diferencial (a ser completado e revisado)
  Volume II – Topología algébrica (a ser completado e revisado)
  
  Resolução dos exercícios
  
  Volume 0
  Volume I (a ser completado e revisado)
  Volume II
  
  
  

• Introdução à geometria
  
  Volume I – Geometria analítica (a ser completado e revisado)
  Volume II – Álgebra linear (a ser completado e revisado)
  Volume III – Geometria afim, euclidiana e projetiva
  
  Resolução dos exercícios
  
  Volume I (a ser completado e revisado)
  Volume II (a ser completado e revisado)
  Volume III