Alexei Kolesnikov

Here is a list of my papers in model theory.

  1. Homology of types in stable theories and the Hurewitz correspondence.
    With J. Goodrick and B. Kim. Annals of Pure and Applied Logic, 168, (2017), 1710-1728.

  2. The Hanf number for amalgamation of coloring classes.
    With C. Lambie-Hanson. Journal of Symbolic Logic, 81, (2016), 570-583.

  3. Canonical forking in AECs.
    With Will Boney, Rami Grossberg, and Sebastien Vasey. Annals of Pure and Applied Logic, 167, (2016), 590-613.
    A version on ArXiv

  4. Type-amalgamation properties and polygroupoids in stable theories.
    With J. Goodrick and B. Kim. Journal of Mathematical Logic, 15, (2015), 45pp.
    A version on ArXiv

  5. Characterization of the second homology group of a stationary type in a stable theory.
    With J. Goodrick and B. Kim. Proceedings of Asian Logic Colloquium, 2013, World Scientific, (2015), 93-104.

  6. Amalgamation functors and homology groups in model theory.
    With J. Goodrick and B. Kim. Proceedings of the International Congress of Mathematicians, (2014), 41-58.

  7. Homology groups of types in model theory and the computation of \(H_2(p)\).
    With J. Goodrick and B. Kim. Journal of Symbolic Logic, 78, (2013), 1086--1114.

  8. Amalgamation functors and boundary properties in simple theories.
    With J. Goodrick and B. Kim. Israel Journal of Mathematics, 193, (2013), 169--207.
    A version on ArXiv

  9. Groupoids, covers, and 3-uniqueness in stable theories.
    With J. Goodrick. Journal of Symbolic Logic, 75, (2010), 905--929.
    PDF file .

  10. The amalgamation spectrum.
    With John Baldwin and Saharon Shelah. Journal of Symbolic Logic , 74 , (2009), 914--928.

  11. Categoricity, amalgamation, and tameness.
    With John Baldwin. Israel Journal of Mathematics , 170 , (2009), 411--443.

  12. Generalized amalgamation and n-simplicity.
    With B. Kim and A. Tsuboi. Annals of Pure and Applied Logic , 155 , (2008), 97--114.

  13. Morley rank in homogeneous models.
    With G.V.N.G. Krishnamurthi. Notre Dame Journal of Formal Logic . 46, (2006), 319--329.
    PDF file .

  14. \(n\)-simple theories.
    Annals of Pure and Applied Logic 131 (2005) 227-261.

  15. Dependence relations in non-elementary classes.
    Contemp. Math., AMS. 380 (2005), 203--230.

  16. The equality \(S1=D=R\).
    With R. Grossberg , I. Tomasic, and M. VanDieren.
    Mathematical Logic Quaterly , 49 , (2003), p. 115--128.
    PDF file from the publisher Wiley InterScience (click on "PDF Full Text").