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. R. Grossberg and M. VanDieren. Galois-stability of tame abstract elementary classes. Journal of Mathematical Logic. 6 no. 1 (2006) 25--49. 
  16. Boney, Will Tameness and extending frames. J. Math. Log. 14 (2014), no. 2, 1450007, 27 pp.

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

  18. Boney, Will; Advances in Classification Theory for Abstract Elementary Classes, PhD thesis 162 pages 2014.

  19. 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.

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

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

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

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

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

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

  26. 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.

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

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

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

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

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

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

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

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

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

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

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

  38. Sebastien Vasey. Superstability and Categoricity in Abstract Elementary Classes, 572 pages PhD thesis, 2017

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

  41. 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.

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

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

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

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

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

  47. Thomas G. Kucera and Marcos Mazari-Armida, On universal modules with pure embeddings, Mathematical Logic Quarterly 66 (2020), 395 - 408.

  48. Marcos Mazari-Armida, Superstability, noetherian rings and pure-semisimple rings, Annals of Pure and Applied Logic 172 (2021), no. 3, 102917.

  49. Marcos Mazari-Armida, On superstability in the class of flat modules and perfect rings, Proc. Amer. Math. Soc. 149 (2021), no. 6, 2639–2654.

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

  51. Rami Grossberg and Marcos Mazari-Armida, Simple-like independence relations in abstract elementary classes, Annals of Pure and Applied Logic, 172 (2021), no. 7, 102971.

  52. Marcos Mazari-Armida. Remarks on classification theory for abstract elementary classes with applications to abelian group theory and ring theory, PhD thesis 259 pages, 2021.

  53. Marcos Mazari-Armida, Some stable non-elementary classes of modules, Journal of Symbolic Logic (2021), 22 pages. 


   54. Marcos Mazari-Armida, Characterizing categoricity in several classes of modules, to appear in Journal of Algebra. Preprint: pdf, 15 pages, October 7th, 2022.


  1.   55.  Hanif J. Cheung, Notions of amalgamation for AECs and Categoricity, 64 pages, to appear in APAL. 
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  3. 56. Hanif Cheung. Notions of amalgamation for abstract elementary classes" pdf 82 pages. PhD thesis June 2022.
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  5.  57.  Samson Leung, Hanf number of the first stability cardinal in AECs, 29 pages,  in APAL.
  6.  57.  Samson Leung, Axiomatizing AECs and applications, 29 pages,  APAL.
  7. Samson Leung. STABILITY, CATEGORICITY AND AXIOMATIZATION OF ABSTRACT ELEMENTARY CLASSES, PhD thesis 194 pages, 2023.
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  9. Preprints:

  10. Marcos Mazari-Armida, A note on torsion modules with pure embeddings , Submitted arXiv.

  11. Samson Leung, Stability results assuming tameness, monster model and continuity of nonsplitting, 56 pages a preprint. arXiv.

  12. Samson Leung, Categoricity transfer for short AECs with amalgamation over sets. 34 pages


  13. Wentao Yang, An NIP-like notion in abstract elementary classes. 17 pages






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Last modified: November 27th, 2022