Papers and theses written by PhD students while working under my guidance.


  1. Lessmann, Olivier Dependence relations in nonelementary classes. Thesis (Ph.D.)- Carnegie Mellon University. 1998. 141 pp. ISBN: 978-0599-17191-6

  2. Grossberg, Rami; Lessmann, Olivier Local order property in nonelementary classes. Arch. Math. Logic 39 (2000), no. 6, 439-457

  3. Lessmann, Olivier Ranks and pregeometries in finite diagrams. Ann. Pure Appl. Logic 106 (2000), no. 1-3, 49-83

  4. Grossberg, Rami; Lessmann, Olivier Dependence relation in pregeometries. Algebra Universalis 44 (2000), no. 3-4, 199-216.

  5. Grossberg, Rami; Lessmann, Olivier Shelah's stability spectrum and homogeneity spectrum in finite diagrams. Arch. Math. Logic 41 (2002), no. 1, 1-31.

  6. Grossberg, Rami; Iovino, Jose; Lessmann, Olivier A primer of simple theories. Arch. Math. Logic 41 (2002), no. 6, 541-580.

  7. Vandieren, Monica Marie Categoricity and stability in abstract elementary classes. Thesis (Ph.D.) - Carnegie Mellon University. 2002. 122 pp. ISBN: 978-0493-56351-0

  8. Grossberg, Rami; Kolesnikov, Alexei; Tomasic, Ivan; Van Dieren, Monica The equality S1=D=R. MLQ Math. Log. Q. 49 (2003), no. 2, 115-128.

  9. Kolesnikov, Alexei Generalized amalgamation in simple theories and characterization of dependence in non-elementary classes. Thesis (Ph.D.)-Carnegie Mellon University. 2004. 102 pp. ISBN: 978-0496-68627-8

  10. Grossberg, Rami; Lessmann, Olivier Abstract decomposition theorem and applications. Logic and its applications, 73-108, Contemp. Math., 380, Amer. Math. Soc., Providence, RI, 2005.

  11. Kolesnikov, Alexei S. n-simple theories. Ann. Pure Appl. Logic 131 (2005), no. 1-3, 227-261.

  12. Kolesnikov, Alexei S. Dependence relations in non-elementary classes. Logic and its applications, 203-230, Contemp. Math., 380, Amer. Math. Soc., Providence, RI, 2005.

  13. Grossberg, Rami; VanDieren, Monica Shelah's categoricity conjecture from a successor for tame abstract elementary classes. J. Symbolic Logic 71 (2006), no. 2, 553-568.

  14. VanDieren, Monica Categoricity in abstract elementary classes with no maximal models. Ann. Pure Appl. Logic 141 (2006), no. 1-2, 108-147.

  15. Boney, Will Tameness and extending frames. J. Math. Log. 14 (2014), no. 2, 1450007, 27 pp.

  16. Boney, Will Tameness from large cardinal axioms. J. Symb. Log. 79 (2014), no. 4, 1092-1119.

  17. Boney, Will; Grossberg, Rami; Lieberman, Michael; Rosicky, Jiri; Vasey, Sebastien μ-abstract elementary classes and other generalizations. J. Pure Appl. Algebra 220 (2016), no. 9, 3048-3066.

  18. Boney, Will; Grossberg, Rami; Kolesnikov, Alexei; Vasey, Sebastien Canonical forking in AECs. Ann. Pure Appl. Logic 167 (2016), no. 7, 590-613.

  19. Vasey, Sebastien Forking and superstability in tame AECs. J. Symb. Log. 81 (2016), no. 1, 357-383.

  20. Vasey, Sebastien Infinitary stability theory. Arch. Math. Logic 55 (2016), no. 3-4, 567-592.

  21. Vasey, Sebastien Building independence relations in abstract elementary classes. Ann. Pure Appl. Logic 167 (2016), no. 11, 1029-1092.

  22. Boney, Will Computing the number of types of infinite length. Notre Dame J. Form. Log. 58 (2017), no. 1, 133-154.

  23. Boney, Will; Vasey, Sebastien Chains of saturated models in AECs. Arch. Math. Logic 56 (2017), no. 3-4, 187-213.

  24. Boney, Will; Grossberg, Rami; VanDieren, Monica M.; Vasey, Sebastien Superstability from categoricity in abstract elementary classes. Ann. Pure Appl. Logic 168 (2017), no. 7, 1383-1395.

  25. Boney, Will; Grossberg, Rami Forking in short and tame abstract elementary classes. Ann. Pure Appl. Logic 168 (2017), no. 8, 1517-1551.

  26. Boney, Will; Vasey, Sebastien A survey on tame abstract elementary classes. Beyond first order model theory, 353-427, CRC Press, Boca Raton, FL, 2017.

  27. Vasey, Sebastien Downward categoricity from a successor inside a good frame. Ann. Pure Appl. Logic 168 (2017), no. 3, 651-692.

  28. Vasey, Sebastien Indiscernible extraction and Morley sequences. Notre Dame J. Form. Log. 58 (2017), no. 1, 127-132.

  29. Vasey, Sebastien Shelah's eventual categoricity conjecture in universal classes: part II. Selecta Math. (N.S.) 23 (2017), no. 2, 1469-1506.

  30. VanDieren, Monica M.; Vasey, Sebastien Symmetry in abstract elementary classes with amalgamation. Arch. Math. Logic 56 (2017), no. 3-4, 423-452.

  31. Vasey, Sebastien Shelah's eventual categoricity conjecture in universal classes: Part I. Ann. Pure Appl. Logic 168 (2017), no. 9, 1609-1642.

  32. Vasey, Sebastien Saturation and solvability in abstract elementary classes with amalgamation. Arch. Math. Logic 56 (2017), no. 5-6, 671-690.

  33. Vasey, Sebastien Building prime models in fully good abstract elementary classes. MLQ Math. Log. Q. 63 (2017), no. 3-4, 193-201.

  34. Grossberg, Rami; Vasey, Sebastien Equivalent definitions of superstability in tame abstract elementary classes. J. Symb. Log. 82 (2017), no. 4, 1387-1408.

  35. Vasey, Sebastien On the uniqueness property of forking in abstract elementary classes. MLQ Math. Log. Q. 63 (2017), no. 6, 598-604.

  36. Boney, Will; Vasey, Sebastien Good frames in the Hart-Shelah example. Arch. Math. Logic 57 (2018), no. 5-6, 687-712.

  37. Vasey, Sebastien Quasiminimal abstract elementary classes. Arch. Math. Logic 57 (2018), no. 3-4, 299-315.

  38. Vasey, Sebastien Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes. MLQ Math. Log. Q. 64 (2018), no. 1-2, 25-36.

  39. Boney, Will; Vasey, Sebastien Good frames in the Hart-Shelah example. Arch. Math. Logic 57 (2018), no. 5-6, 687-712.

  40. Vasey, Sebastien Toward a stability theory of tame abstract elementary classes. J. Math. Log. 18 (2018), no. 2, 1850009, 36 pp.

  41. Mazari-Armida, Marcos; Vasey, Sebastien Universal classes near \aleph_1 J. Symb. Log. 83 (2018), no. 4, 1633-1643.

  42. Marcos Mazari-Armida, Non-forking w-good frames. Submitted: Archive for Mathematical Logic 59 (2020), nos 1-2, 31–56.s.

  43. Marcos Mazari-Armida, Algebraic description of limit models in classes of abelian groups, Annals of Pure and Applied Logic 171 (2020), no. 1, 102723.

  44. Thomas G. Kucera and Marcos Mazari-Armida, On universal modules with pure embeddings, Accepted Mathematical Logic Quarterly.

  45. Marcos Mazari-Armida, Superstability, noetherian rings and pure-semisimple rings, Annals of Pure and Applied Logic, to appear, 23 pages.

  46. Marcos Mazari-Armida, On superstability in the class of flat modules and perfect rings, Proceedings of AMS, to appear, 14 pages 14 pages

    Marcos Mazari-Armida, A model theoretic solution to a problem Laszlo Fuchs, Journal of Algebra 567 (2021), 196-209

    Papers submitted for publication:

  47. Rami Grossberg and Marcos Mazari-Armida, Simple-like independence relations in abstract elementary classes, Submitted: pdf, 28 pages.


  48. Marcos Mazari-Armida, Some stable non-elementary classes of modules, Submitted: pdf, 20 pages, November 3rd, 2020. arXiv.





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Last modified: November 9th, 2020