G. Cortiñas Homepage


Position:  Associate Professor (University of Buenos Aires)
 

Research Interests:    K-theory & cyclic homology ,  noncommutative geometry.

Students


Research Papers

  1. J.L. Castiglioni, G. Cortiñas. Cosimplicial versus DG-rings: a version of the Dold-Kan correspondence.  J. Pure  Appl. Algebra.191 (2004) 119-142.[To journal home page]
  2. G. Cortiñas, C. Valqui. Excision in bivariant periodic cyclic homology: a categorical approach.  K-theory 30 (2003) 167-201.[To journal home page]
  3. G. Cortiñas. The obstruction to excision in K-theory and in cyclic homology. arXiv
  4. G. Cortiñas. De Rham and infinitesimal cohomology in Kapranov's model for noncommutative algebraic geometry.  Compositio Mathematica 136 (2003)  171-203 .[To journal home page]
  5. G. Cortiñas. The structure of smooth algebras in Kapranov's framework for noncommutative geometry. arXiv
  6. G. Cortiñas. An explicit formula for PBW quantization. Comm. Algebra 30, (2002) 1705-1713.[To journal home page]
  7. G. Cortiñas. Periodic cyclic homology as sheaf cohomology. K-theory 20 (2000) 175-200. [To journal home page]
  8. G. Cortiñas. Interchanging holims and hocolims in CAT. Bol. Acad. Nac. Ciencias 65 (2000) 95-102. arXiv
  9. G. Cortiñas. Infinitesimal K-theory. J. reine angew. Math. 503 (1998), 129-160.[To journal home page]
  10. G. Cortiñas. On the derived functor analogy in the Cuntz-Quillen framework for cyclic homology. Algebra Colloquium 5, no. 3 (1998), 305-328.[To journal home page]
  11. G. Cortiñas, F. Krongold. Artinian algebras and differential forms. Comm. in Alg. 27:4 (1999) 1711-1716.[To journal home page]
  12. G. Cortiñas. On the cyclic homology of commutative algebras over arbitrary ground rings. Comm. in Alg. 27:3 (1999) 1403-1412.[To journal home page]
  13. G. Cortiñas, S. Geller, C. Weibel. The artinian Berger conjecture. Me.ath. Z. 228, 569-588 (1998).[To journal home page]
  14. G. Cortiñas, J. Shapiro. On universal central extensions of quadratic Lie algebras and its relation to dihedral homology.J. of Alg. 180 725-756 (1996).[ORIGINAL ARTICLE]
  15. G. Cortiñas. Conjetura de Berger artiniana Pro Mathematica 8 123-127 (1994).
  16. G. Cortiñas, C. Weibel. Homology of Azumaya algebras. Proc. Amer. Math. Soc. 121, 53-55 (1994).[To journal home page]
  17. G. Cortiñas. L-theory and dihedral homology II. Topology and its Appl. 51, 53-69 (1993).[To journal home page]
  18. G. Cortiñas. L-theory and dihedral homology. Math. Scand. 73, 21-35 (1993).
  19. G. Cortiñas. Stiefel-Whitney classes for quadratic modules. Comm. in Alg. 21, 163-178 (1993).[To journal home page]
  20. L. Caniglia, G. Cortiñas, S. Danon, A. Galligo, J. Heintz, T. Krick, P. Solernó. Algorithmic aspects of Suslin's proof of Serre's conjecture. Comput. Complexity 3, 31-55, (1993). [To journal home page]
  21. G. Cortiñas, J. A. Guccione, J. J. Guccione. Decomposition of Hochschild and cyclic homology of commutative differential graded algebras. J.of Pure and Appl. Alg. 83, 219-235 (1992).[To journal home page]
  22. N. Fitchas (L. Caniglia, G. Cortiñas, S. Danon, J. Heintz, T. Krick, P. Solernó), A. Galligo. Nullstellensatz effectif et conjecture de Serre pour le calcul formel. Math. Nach. 149 231-253 (1990).
  23. G. Cortiñas, J. A. Guccione, O. E. Villamayor. Cyclic homology of k[Z/pZ]. K-theory 2 603-616, (1989).[To journal home page]
  24. G. Cortiñas, O.E. Villamayor. Cyclic homology of k[Z/2Z].Revista de la UMA 33, 55-61 (1987).
  25. G. Cortiñas. La K-teoria ortogonal de Karoubi-Villamayor. Notas Soc. Mat. de Chile, 5 151-152, (1986).

 

Available reviews of the papers listed above

MathReviews|Zentralblatt
 
 
 

 

 

Conferences

Encuentro Rioplatense de Álgebra y Geometría Algebraica 12/15-19/03

K-Theory and Noncommutative Geometry, 3-7/04

 

 

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Last modified: 23/6/03