Picture of Bojana Femi'

 


Mathematical Institute
Serbian Academy of Sciences and Arts
Kneza Mihaila 36,
Belgrade, Serbia

Tel.: (381-11) 3348-981
Fax.: (381-11) 2186-105

E-MAIL: bfemic@mi.sanu.ac.rs

 

 

Research interests
    Hopf algebras, Hopf-Galois theory, braided category theory, Brauer groups, corings, bialgebroids, bicategories, 2-monads, enrichment, internalization, double categories.
My PhD thesis (in PDF format)

 

Education

 

Employment

 

Visitings

 

Publication list
  • Coring categories and Villamayor-Zelinsky sequence for symmetric finite tensor categories, Appl. Categ. Structures 29 (2021), 485 - 527. (Accepted in Dec. 2020, sent in Dec. 2015);
  • ArXiv
  • Turaev bicategories and generalized Yetter-Drinfel`d modules in 2-categories, accepted by Israel J. Math. in December 2019, published online in February 2021;
  • Biwreaths: a self-contained system in a 2-category that encodes different known algebraic constructions and gives rise to new ones, J. Pure Appl. Alg. 223/4 (2019), 1472-1513; ArXiv
  • Villamayor-Zelinsky sequence for symmetric finite tensor categories, Applied Categorical Structures, 25/6 (2017), 1199-1228; ArXiv
  • Eilenberg-Watts Theorem for 2-categories and quasi-monoidal structures for module categories over bialgebroid categories, J. Pure and Appl. Algebra 220/9 (2016), 3156-3181; ArXiv
  • Invertible bimodule categories over the representation category of a Hopf algebra, (joint with A. Mej'ia and M. Mombelli) J. Pure and Appl. Algebra 218/11 (2014), 2096-2118; ArXiv
  • Transparency condition in the categories of Yetter-Drinfel'd modules over Hopf algebras in braided categories, S~ao Paulo Journal of Mathematics 8/1 (2014); ArXiv
  • The Hopf automorphism group and the quantum Brauer group in braided monoidal categories, Journal of Algebra and Its Applications 12/6 (2013); ArXiv
  • A sequence to compute the Brauer group of certain quasitriangular Hopf algebras, (joint with J. Cuadra) Applied Categorical Structures 20/5 (2012), 433-512; ArXiv
  • Some remarks on Morita theory, Azumaya algebras and center of an algebra in braided monoidal categories, Revista de la Uni'on Matem'atica Argentina 51/1 (2010), 27-50;
  • The Brauer Group of Azumaya Corings and the Second Cohomology Group (joint with Stefaan Caenepeel), K-theory 34 (2005), 361-393; ArXiv
  •   Preprints

  • Enrichment and internalization in tricategories, the case of tensor categories and alternative notion to intercategories ArXiv
  • Alternative notion to intercategories: part I. A tricategory of double categories ArXiv
  • A bicategorical approach to actions of monoidal categories ArXiv
  • Paired wreaths: 2-categorical background of a class of cross products ArXiv

 

Languages spoken
  • English,
  • German,
  • Spanish,
  •   Basic idea of

  • French,
  • Portuguese.

 

Hobbies and interests
    Clothes design, painting, singing, dancing.

 

Picture of Bojana Femi'

CV (in PDF format)

 


Created by Bojana Femic, April, 2009.   Last modification: April, 2009.