Publications

 

        Preprints

      1. G. Cortiñas, N.C. Phillips. Algebraic K-theory and properly infinite C*-algebras. arXiv
      2. G. Cortiñas. Cyclic homology of H-unital (pro-) algebras, Lie algebra homology of matrices, and a paper of Hanlon's. arXiv

        3. Accepted

      3. G Cortiñas, M.E. Rodríguez. Simplicity of L^p-graph algebras. Forthcoming in J. Operator Theory. arXiv
      4. G Cortiñas. Exel-Pardo algebras with a twist. Appeared On line first in J. Noncommutative Geom. doi

        5. Published

      5. G Cortiñas, R. Hazrat. Classification conjectures for Leavitt path algebras. Bull. Lond. Math. Soc. 56:10, 3011-3267doi
      6. G Cortiñas, reporter. Combinatorial *-algebras. Oberwolfach Reports 2024, 12. doi
      7. G Cortiñas, D. Mukherjee. A Quillen model structure of local homotopy equivalences. Theory and Applications of Categories 41 (2024) 268-287. doi
      8. G. Arnone, G Cortiñas. Graded $K$-theory and Leavitt path algebras. J. of Algebraic Combinatorics. doi
        arXiv
      9. G. Cortiñas. Classifying Leavitt path algebras up to involution preserving homotopy. Math. Annalen. doi
        arXiv
      10. G Cortiñas. Lifting graph C*-algebra maps to Leavitt path algebra maps. Bulletin of the London Mathematical Society. doi, arXiv
      11. G. Arnone, G. Cortiñas. Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices. Journal of Algebra and its Applications 22(4), 230084 (2023). doi. arXiv
      12. G. Cortiñas, S. Vega. Bivariant Hermitian $K$-theory and Karoubi's fundamental theorem. Journal of Pure and Applied Algebra, 226:12, 107124. doi arXiv
      13. G. Cortiñas, D. Montero. Homotopy classification of Leavitt path algebras. Advances in Mathematics 362 (2020) 106961, 26pp. doi, arXiv
      14. G. Cortiñas, D. Montero. Algebraic bivariant K-theory and Leavitt path algebras.Journal of Noncommutative Geometry, 15 (2021) 113-146. doi, arXiv
      15. G. Cortiñas. Álgebra II+I/2: Notas de Teoría de Álgebras. Cursos y Seminarios de Matemática, Serie B, Fascículo 13,
        Departamento de Matemática, FCEyN, UBA, 2020.
      16. G. Cortiñas, R. Meyer, D. Mukherjee. Nonarchimedean analytic cyclic homology. Documenta Mathematica 25, 1353--1419. doi
      17. G. Cortiñas. Notas de Álgebra II. Cursos de grado, Fascículo 11, Departamento de Matemática, FCEyN, UBA, 2020.
      18. G. Cortiñas, M. E. Rodríguez. L^p-operator algebras associated with oriented graphs. Journal of Operator Theory 81 (2019), 225-254. doi
      19. 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
      20. G. Cortiñas, J. Cuntz, R. Meyer, G. Tamme. Weak completions, bornologies and rigid cohomology. Journal of Geometry and Physics 129, 192-199 (2018). doi
      21. G. Cortiñas, J. Cuntz, R. Meyer, G. Tamme. Nonarchimedean bornologies and rigid cohomology. Documenta Mathematica 23, 1197-1245 (2018). doi
      22. 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
      23. G. Cortiñas, E. Rodríguez Cirone. Singular coefficients in the K-theoretic Farrell-Jones conjecture. Algebr. Geom. Topol. 16 (2016) 129-147. doi
      24. 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.
      25. B. Abadie, G. Cortiñas. Homotopy invariance through small stabilizations. J. Homotopy Relat. Struct. September 2015, Volume 10, Issue 3, pp 459-493 doi.
      26. G. Cortiñas. Cyclic homology, tight crossed products, and small stablizations. J. Noncommut. Geom., 8(4) 1191-1223 (2014). doi
      27. G. Cortiñas. Excision, descent, and singularity in algebraic K-theory. Procedings of ICM, 2014, Seoul, 143--162. arXiv
      28. G. Cortiñas, G. Tartaglia. Trace class operators, regulators, and assembly maps in K-theory. Doc. Math., 19 (2014) 439--455. [ORIGINAL ARTICLE]
      29. G. Cortiñas, G. Tartaglia. Operator ideals and assembly maps in K-theory. Proc. Amer. Math. 142 (2014), 1089-1099 doi
      30. G. Cortiñas, E. Ellis. Isomorphism conjectures with proper coefficients. J. Pure Appl. Algebra 218 (2014),no. 7, 1224-1263 doi.
      31. 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.
      32. P. Ara, G. Cortiñas. Tensor products of Leavitt path algebras.   Proc. Amer. Math. Soc., 141(8) 2629–2639.  [ORIGINAL ARTICLE]
        33. arXiv
      33. 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.
      34. G. Cortiñas, A. Thom. Algebraic geometry of topological spaces I.  Acta Mathematica 209 (2012) 83-131. arXiv
      35. 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]
      36. 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
      37. 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
      38. 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
      39. 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
      40. P. Ara, M. Brustenga, G. Cortiñas. K-theory of Leavitt path algebras.  Münster Journal of Mathematics, 2 (2009), 5--34. [ORIGINAL ARTICLE] arXiv
      41. 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
      42. 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
      43. 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
      44. 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
      45. 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
      46. 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
      47. 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
      48. G. Cortiñas, A. Thom. Bivariant algebraic K-theory. J. reine angew. Math. 510 (2007) 71-124. [To journal home page] arXiv
      49. G. Cortiñas. The obstruction to excision in K-theory and in cyclic homology. Invent. Math. 454 (2006) 143-173. [To journal home page]. arXiv
      50. 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
      51. 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
      52. G. Cortiñas, C. Valqui. Excision in bivariant periodic cyclic homology: a categorical approach.  K-theory 30 (2003) 167-201.[To journal home page] arXiv
      53. 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
      54. G. Cortiñas. The structure of smooth algebras in Kapranov's framework for noncommutative geometry. J. of Algebra  281 (2004) 679-694. [ORIGINAL ARTICLE] arXiv
      55. G. Cortiñas. An explicit formula for PBW quantization. Comm. Algebra 30, (2002) 1705-1713.[ORIGINAL ARTICLE] arXiv
      56. G. Cortiñas. Cuantización y teorema de Poincaré-Birkhoff-Witt. Pro-Mathematica 29-30 (2001) 123-127. [To journal home page]
      57. G. Cortiñas. Periodic cyclic homology as sheaf cohomology. K-theory 20 (2000) 175-200.[To journal home page] arXiv
      58. G. Cortiñas. Interchanging holims and hocolims in CAT. Bol. Acad. Nac. Ciencias 65, Nov (2000) 95-102. arXiv
      59. G. Cortiñas. Infinitesimal K-theory. J. reine angew. Math. 503 (1998), 129-160.[To journal home page] arXiv
      60. 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
      61. G. Cortiñas, F. Krongold. Artinian algebras and differential forms. Comm. in Alg. 27:4 (1999) 1711-1716.[To journal home page] arXiv
      62. 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
      63. G. Cortiñas, S. Geller, C. Weibel. The artinian Berger conjecture. Math. Z. 228, 569-588 (1998).[To journal home page] arXiv
      64. 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]
      65. G. Cortiñas. Conjetura de Berger artiniana Pro Mathematica 8 123-127 (1994).[To journal home page]
      66. G. Cortiñas, C. Weibel. Homology of Azumaya algebras. Proc. Amer. Math. Soc. 121, 53-55 (1994).[To journal home page]
      67. G. Cortiñas. L-theory and dihedral homology II. Topology and its Appl. 51, 53-69 (1993).[To journal home page]
      68. G. Cortiñas. L-theory and dihedral homology. Math. Scand. 73, 21-35 (1993).[To journal home page]
      69. G. Cortiñas. Stiefel-Whitney classes for quadratic modules. Comm. in Alg. 21, 163-178 (1993).[To journal home page]
      70. 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]
      71. 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]
      72. 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]
      73. G. Cortiñas, J. A. Guccione, O. E. Villamayor. Cyclic homology of k[Z/pZ]. K-theory 2 603-616, (1989).[To journal home page]
      74. G. Cortiñas, O.E. Villamayor. Cyclic homology of k[Z/2Z].Revista de la UMA 33, 55-61 (1987).[To journal home page]
      75. G. Cortiñas. La K-teoria ortogonal de Karoubi-Villamayor. Notas Soc. Mat. de Chile, 5 151-152, (1986).


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