Research interests
Hopf algebras, Hopf-Galois theory, braided category theory, Brauer groups, corings, bialgebroids, bicategories, 2-monads,
enrichment, internalization, double categories.
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My PhD thesis (in PDF format)
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Education
- Ph.D. in Mathematics, March 2008,
Department of Mathematics of the Faculty of Sciencies
, Free University of Brussels (VUB),
Belgium, and
Department of Algebra and Mathematical Analysis
, University of Almeria,
Spain.
Thesis: Azumaya corings, braided Hopf-Galois theory and Brauer groups
Advisors: Prof. Dr. Stefaan Caenepeel and Prof. Dr. Juan Cuadra Diaz.
- M.Sc. in Mathematics, March 2003,
Mathematical
Institute, Ludwig-Maximilians University (LMU) in Munich, Germany.
Thesis: Noncommutatibe and braided derivations (in German).
Advisor: Prof. Dr. Bodo Pareigis.
- B.Sc. in Mathematics, October 2000,
Faculty of Natural Sciences and Mathematics
,University of Novi Sad,
Serbia.
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Employment
- Research Assistant at
Mathematical
Institute (SANU), Belgrade, Serbia (since October 2020).
- Adjoint Professor at
Facultad de Ingenier'ia de la Universidad de la Rep'ublica
, Montevideo, Uruguay (January 2013 - September 2020).
- Assistant Professor at
Facultad de Ciencias de la Universidad de la Rep'ublica
, Montevideo, Uruguay (July 2009 - December 2012).
- Research Assistant at
Mathematical
Institute (SANU), Belgrade, Serbia (September 2008 - July 2009).
- Loan administrator, internship in
Webac, Munich
(April 2003 - September 2003).
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Visitings
- College of Engineering and Physical
Sciencies, University of New Hampshire, Durham, USA, January 2014.
- Facultad de Ciencias,
University of the Republic of Uruguay in Montevideo, Uruguay, November-December 2008.
- Faculty of Mathematics, Astronomy and Physics
(FaMAF), National University of Cordoba, Argentina, November 2008.
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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
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