Research       Teaching        Home        Links       Español
--- Research
--- Preprints and articles in press
Format
M. Mombelli. The Brauer-Picard group of the representation category of finite supergroup algebras. Preprint (replaced by the last version)
pdf
M. Mombelli. On the tensor product of bimodule categories over Hopf algebras. Preprint   pdf
C. Galindo and M. Mombelli. Module categories over finite pointed tensor categories Accepted in Selecta Mathematica NS. Preprint arxiv:1102.4882.
M. Mombelli. Families of finite-dimensional Hopf algebras with the Chevalley property. Accepted in Algebra and Representation Theory. Preprint arXiv:1012.0222
O. Buerschaper, M. Christandl, M. Aguado and M. Mombelli. A hierarchy of topological tensor network states, preprint arXiv:1007.5283.
--- Publications
A. García Iglesias and M Mombelli. Representations of the category of modules over pointed Hopf algebras over S_3 and S_4.  Pacific J. Math. vol 252 nº 2 (2011) 343-378.
M. Mombelli. Representations of tensor categories coming from quantum linear space. J. London Math. Soc. (2) 83 (2011) 19--35.
M. Mombelli. Module categories over pointed Hopf algebras. Mathematische Zeitschrift 266 nº2 (2010) 319-344.
M. Mombelli. Constructing dynamical twists over a non-abelian base. Applied Categorical Structures Volume 18 nº 4 (2010) 407-429.
M. Mombelli. Dynamical twists in Hopf algebras. Int. Math. Res. Not. (2007) vol. 2007.
N. Andruskiewitsch and M. Mombelli. On module categories over finite-dimensional Hopf algebras. J. Algebra 314 (2007) 383-418.
M. Mombelli and S. Natale. Tensor categories and vacant double groupoids. Math. Res. Lett. 14 (2007) 1-18.
C. Maldonado and M. Mombelli. On braided groupoids. J. Algebra 307 (2007) n° 2 677-694.
N. Andruskiewitsch and M. Mombelli. Examples of weak Hopf algebras arising from vacant double groupoids. Nagoya Math. J. 181 (2006) 1-27.
--- Other works
  M. Mombelli and S. Simondi. Introduction to Galois theory. (In spanish) Trabajos de Matemática serie B 2011/58, FAMAF.
      pdf 
  M. Mombelli. Last Fermat theorem, Revista de Educación Matematica 22 (2007) No 1 (An  historical review).
     
M. Mombelli. Finite groups and their representations, Notes (in spanish) of a small course given at Universidad Sergio Arboleda, Bogotá, Colombia, january 2007.
--- Unpublished monographs
Categorías de fusión y grupoides cuanticos, Ph.D. thesis ( in spanish ) Fa.M.A.F. Universidad Nacional de Córdoba 2006.
Anillos simples y semisimples, first award in a monograph contest U.M.A. (2000).
--- Talks
Dynamical twists in finte-dimensional Hopf algebras, in the XVII Coloquio Latinoamericano de Algebra, Medellin, Colombia, july 2007.
Module categories over Hopf algebras and Yan-Zhu stabilizers, in New Techniques in Hopf algebras and graded ring theory, Brussels, Belgium, september 2006.
Talks given at Ludwig-Maximilians Universität, Munich.
pdf 
Talk given at the Colloquium in Hopf algebras, quantum groups and tensor categories, La Falda, Córdoba, Argentina, September 2009.

Updated 07.11.2011