Publications

 

        Preprints

      1. G. Cortiñas, D. Montero. Homotopy classification of Leavitt path algebras.arXiv
      2. G. Cortiñas, D. Montero. Algebraic bivariant K-theory and Leavitt path algebras.arXiv
      3. G. Cortiñas, N.C. Phillips. Algebraic K-theory and properly infinite C*-algebras. arXiv
      4. G. Cortiñas. Cyclic homology of H-unital (pro-) algebras, Lie algebra homology of matrices, and a paper of Hanlon's. arXiv
      5. Published

      6. G. Cortiñas, M. E. Rodríguez. L^p-operator algebras associated with oriented graphs. Journal of Operator Theory 81 (2019), 225-254. doi
      7. G. Cortiñas, C. Haesemeyer, M.E. Walker, C. Weibel. The K-theory of toric schemes over regular rings of mixed characteristic.
        Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics. Festschrift for Antonio Campillo on the Occasion
        of his 65th Birthday. Gert-Martin Greuel, Luis Narváez and Sebastá Xambó-Descamps, Eds. Springer, 2018. Pages 455-479.
        doi
      8. G. Cortiñas, J. Cuntz, R. Meyer, G. Tamme. Weak completions, bornologies and rigid cohomology. Journal of Geometry and Physics 129, 192-199 (2018). doi
      9. G. Cortiñas, J. Cuntz, R. Meyer, G. Tamme. Nonarchimedean bornologies and rigid cohomology. Documenta Mathematica 23, 1197-1245 (2018). doi
      10. G. Cortiñas, G. Tartaglia. Compact operators and algebraic K-theory for groups which act properly and isometrically on Hilbert space. J. reine angew. Math. 734 (2018), 265-292. doi
      11. G. Cortiñas, E. Rodríguez Cirone. Singular coefficients in the K-theoretic Farrell-Jones conjecture. Algebr. Geom. Topol. 16 (2016) 129-147. doi
      12. G. Cortiñas, C. Haesemeyer, M.E. Walker, C. Weibel. Toric varieties, monoid schemes and $cdh$ descent.
        J. reine angew. Math. 698, 1-54 (2015).
        doi.
      13. B. Abadie, G. Cortiñas. Homotopy invariance through small stabilizations. J. Homotopy Relat. Struct. September 2015, Volume 10, Issue 3, pp 459-493 doi.
      14. G. Cortiñas. Cyclic homology, tight crossed products, and small stablizations. J. Noncommut. Geom., 8(4) 1191-1223 (2014). doi
      15. G. Cortiñas. Excision, descent, and singularity in algebraic K-theory. Procedings of ICM, 2014, Seoul, 143--162. arXiv
      16. G. Cortiñas, G. Tartaglia. Trace class operators, regulators, and assembly maps in K-theory. Doc. Math., 19 (2014) 439--455. [ORIGINAL ARTICLE]
      17. G. Cortiñas, G. Tartaglia. Operator ideals and assembly maps in K-theory. Proc. Amer. Math. 142 (2014), 1089-1099 doi
      18. G. Cortiñas, E. Ellis. Isomorphism conjectures with proper coefficients. J. Pure Appl. Algebra 218 (2014),no. 7, 1224-1263 doi.
      19. G. Cortiñas, C. Haesemeyer, M.E. Walker, C. Weibel. The K-theory of toric varieties in positive characteristic.
        J. Topol., (2014) 7 (1):247-286,
        doi.
      20. P. Ara, G. Cortiñas. Tensor products of Leavitt path algebras.   Proc. Amer. Math. Soc., 141(8) 2629–2639.  [ORIGINAL ARTICLE]
      21. arXiv
      22. H. Bursztyn, R. Sánchez-García, E. Hoefel, M. Karoubi, J.F. Lafont, B. Mesland, R. Meyer, I. Ortiz, J. Rosenberg, G.Tabuada, R. Trinchero, B. Tsygan, S. Waldmann, A. Zuk. Topics in Noncommutative Geometry. G. Cortiñas, Ed. Clay Mathematics Institute Proceedings, Vol 16.
      23. G. Cortiñas, A. Thom. Algebraic geometry of topological spaces I.  Acta Mathematica 209 (2012) 83-131. arXiv
      24. G. Cortiñas, C. Haesemeyer, M. E. Walker, C. Weibel. K-theory of cones of smooth varieties.  Journal of Algebraic Geometry 22 (2013), 13-34.  [ORIGINAL ARTICLE]
      25. G. Cortiñas, C. Haesemeyer, M. E. Walker, C. Weibel. A negative answer to a question of Bass.  [ORIGINAL ARTICLE] Proc. Amer. Math. Soc. 139(4):1187-1200, (2011). arXiv
      26. P. F. Baum, G. Cortiñas (ed.), R. Meyer, R. Sánchez-García, M. Schlichting, B. Toën. Topics in algebraic and topological K-theory. Springer Lecture Notes in Mathematics 2008. Publisher's website pdf
      27. G. Cortiñas. Algebraic v. topological K-theory: a friendly match. In: Topics in algebraic and topological K-theory. Springer Lecture Notes in Mathematics 2008.   arXiv
      28. G. Cortiñas, C. Haesemeyer, M. E. Walker, C. Weibel. Bass' NK groups and cdh-fibrant Hochschild homology.  Inventiones Mathematicae 181 (2), pp. 421-448. [ORIGINAL ARTICLE] arXiv
      29. P. Ara, M. Brustenga, G. Cortiñas. K-theory of Leavitt path algebras.  Münster Journal of Mathematics, 2 (2009), 5--34. [ORIGINAL ARTICLE] arXiv
      30. G. Cortiñas, C. Weibel. Relative Chern characters for nilpotent ideals.  Algebraic Topology. The Abel Symposium 2007. Baas, N.; Friedlander, E.M.; Jahren, B.; Østvær, P.A. (Eds.). Springer, 2009; pp 61-82.   arXiv
      31. G. Cortiñas, J. Cuntz, M. Karoubi, R. Nest. K-Theory and Noncommutative Geometry: Connections and Applications to Other Areas of Mathematics. European Mathematical Society Publishing House, 2008. Publisher's website
      32. G. Cortiñas, C. Haesemeyer, C. Weibel. Infinitesimal cohomology and the Chern character to negative cyclic homology. Math. Annalen 344 (2009) 891-922.   [ORIGINAL ARTICLE]  arXiv
      33. G. Cortiñas, C. Haesemeyer, M. E. Walker, C. Weibel. The K-theory of toric varieties. Trans. Amer. Math. Soc. 361 (2009), 3325-3341.  [ORIGINAL ARTICLE]  arXiv
      34. G. Cortiñas, A. Thom. Comparison between algebraic and topological K-theory of locally convex algebras.  Advances in Mathematics, 218 (2008), 266-307. [To journal home page] arXiv
      35. G. Cortiñas, C. Haesemeyer, C. Weibel. K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst. Journal of the Amer. Math. Soc. 21 (2008), 547--561. [To journal home page]arXiv
      36. G. Cortiñas, C. Haesemeyer, M. Schlichting, C. Weibel. Cyclic homology, cdh-cohomology and negative K-theory. Annals of Mathematics. 167, (2008) 549-573. [ORIGINAL ARTICLE]   arXiv
      37. G. Cortiñas, A. Thom. Bivariant algebraic K-theory. J. reine angew. Math. 510 (2007) 71-124. [To journal home page] arXiv
      38. G. Cortiñas. The obstruction to excision in K-theory and in cyclic homology. Invent. Math. 454 (2006) 143-173. [To journal home page]. arXiv
      39. J.L. Castiglioni, G. Cortiñas. Cosimplicial versus DG-rings: a version of the Dold-Kan correspondence. J. Pure  Appl. Algebra.191 (2004) 119-142.[ORIGINAL ARTICLE] arXiv
      40. G. Cortiñas, M. de León. Cálculos efectivos de la homología cíclica negativa de hipersuperficies con singularidades aisladas. EACA 2004: Actas de los Encuentros de Algebra Computacional y Aplicaciones, 2004. L. González Vega, T. Recio (Eds.) Universidad de Cantabria. Santander, 2004.ISBN  84-688-6988-04
      41. G. Cortiñas, C. Valqui. Excision in bivariant periodic cyclic homology: a categorical approach.  K-theory 30 (2003) 167-201.[To journal home page] arXiv
      42. 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]arXiv
      43. G. Cortiñas. The structure of smooth algebras in Kapranov's framework for noncommutative geometry. J. of Algebra  281 (2004) 679-694. [ORIGINAL ARTICLE] arXiv
      44. G. Cortiñas. An explicit formula for PBW quantization. Comm. Algebra 30, (2002) 1705-1713.[ORIGINAL ARTICLE] arXiv
      45. G. Cortiñas. Cuantización y teorema de Poincaré-Birkhoff-Witt. Pro-Mathematica 29-30 (2001) 123-127. [To journal home page]
      46. G. Cortiñas. Periodic cyclic homology as sheaf cohomology. K-theory 20 (2000) 175-200.[To journal home page] arXiv
      47. G. Cortiñas. Interchanging holims and hocolims in CAT. Bol. Acad. Nac. Ciencias 65, Nov (2000) 95-102. arXiv
      48. G. Cortiñas. Infinitesimal K-theory. J. reine angew. Math. 503 (1998), 129-160.[To journal home page] arXiv
      49. 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] arXiv
      50. G. Cortiñas, F. Krongold. Artinian algebras and differential forms. Comm. in Alg. 27:4 (1999) 1711-1716.[To journal home page] arXiv
      51. 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] arXiv
      52. G. Cortiñas, S. Geller, C. Weibel. The artinian Berger conjecture. Math. Z. 228, 569-588 (1998).[To journal home page] arXiv
      53. 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]
      54. G. Cortiñas. Conjetura de Berger artiniana Pro Mathematica 8 123-127 (1994).[To journal home page]
      55. G. Cortiñas, C. Weibel. Homology of Azumaya algebras. Proc. Amer. Math. Soc. 121, 53-55 (1994).[To journal home page]
      56. G. Cortiñas. L-theory and dihedral homology II. Topology and its Appl. 51, 53-69 (1993).[To journal home page]
      57. G. Cortiñas. L-theory and dihedral homology. Math. Scand. 73, 21-35 (1993).[To journal home page]
      58. G. Cortiñas. Stiefel-Whitney classes for quadratic modules. Comm. in Alg. 21, 163-178 (1993).[To journal home page]
      59. 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]
      60. 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).[ORIGINAL ARTICLE]
      61. 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).[To journal home page]
      62. G. Cortiñas, J. A. Guccione, O. E. Villamayor. Cyclic homology of k[Z/pZ]. K-theory 2 603-616, (1989).[To journal home page]
      63. G. Cortiñas, O.E. Villamayor. Cyclic homology of k[Z/2Z].Revista de la UMA 33, 55-61 (1987).[To journal home page]
      64. G. Cortiñas. La K-teoria ortogonal de Karoubi-Villamayor. Notas Soc. Mat. de Chile, 5 151-152, (1986).


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