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, Contemp. Math., 380 American
Mathematical Society, Providence, RI, 2005, 73–108.
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. J. Math. Log. 6 (2006), no. 1, 25–48.
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
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. Tameness and frames revisited J. Symb. Log. 82 (2017), no. 3, 995–1021.
26. Boney, Will; Vasey, Sebastien Chains of saturated models in AECs. Arch. Math. Logic 56 (2017), no. 3-4, 187–213.
27. 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.
28. Boney, Will; Grossberg, Rami Forking in short and tame abstract elementary classes. Ann. Pure Appl. Logic 168 (2017), no. 8, 1517–1551.
29. Boney, Will; Vasey, Sebastien A survey on tame abstract elementary classes. Beyond first order model theory, 353-427, CRC Press, Boca Raton, FL, 2017.
30. Vasey, Sebastien Downward categoricity from a successor inside a good frame. Ann. Pure Appl. Logic 168 (2017), no. 3, 651-692.
31. Vasey, Sebastien Indiscernible extraction and Morley sequences. Notre Dame J. Form. Log. 58 (2017), no. 1, 127-132.
32. Vasey, Sebastien Shelah's eventual categoricity conjecture in universal classes: part II. Selecta Math. (N.S.) 23 (2017), no. 2, 1469-1506.
33. VanDieren, Monica M.; Vasey, Sebastien Symmetry in abstract elementary classes with amalgamation. Arch. Math. Logic 56 (2017), no. 3-4, 423-452.
34. Vasey, Sebastien Shelah's eventual categoricity conjecture in universal classes: Part I. Ann. Pure Appl. Logic 168 (2017), no. 9, 1609-1642.
35. Vasey, Sebastien Saturation and solvability in abstract elementary classes with amalgamation. Arch. Math. Logic 56 (2017), no. 5-6, 671-690.
36. Vasey, Sebastien Building prime models in fully good abstract elementary classes. MLQ Math. Log. Q. 63 (2017), no. 3-4, 193-201.
37. Grossberg, Rami; Vasey, Sebastien Equivalent definitions of superstability in tame abstract elementary classes. J. Symb. Log. 82 (2017), no. 4, 1387-1408.
38. Vasey, Sebastien On the uniqueness property of forking in abstract elementary classes. MLQ Math. Log. Q. 63 (2017), no. 6, 598-604.
39. Sebastien Vasey. Superstability and Categoricity in Abstract Elementary Classes, 572 pages PhD thesis, 2017
40. Boney, Will; Vasey, Sebastien Good frames in the Hart-Shelah example. Arch. Math. Logic 57 (2018), no. 5-6, 687–712.
41. Vasey, Sebastien Quasiminimal abstract elementary classes. Arch. Math. Logic 57 (2018), no. 3-4, 299-315.
42. 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.
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. Grossberg, Rami(1-CMU); Mazari-Armida, Marcos(1-CMU) Simple-like independence relations in abstract elementary classes. Ann. Pure Appl. Logic172(2021), no.7, Paper No. 102971, 28 pp.
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.
Some stable non-elementary
classes of modules Mazari-Armida, Marcos J. Symb. Log. 88 (2023),
no. 1, 93–117.
54. Marcos Mazari-Armida, Characterizing categoricity in
several classes of modules J. Algebra 617 (2023),
382–401.
55. Hanif Cheung. Notions
of amalgamation for abstract elementary classes" pdf 82 pages. PhD
thesis June 2022.
56. Samson Leung, Hanf
number of the first stability cardinal in AECs, Ann. Pure Appl. Logic 174 (2023), no. 2, Paper No. 103201, 15 pp.
57. Samson Leung,
Axiomatizing AECs and applications, Ann. Pure Appl. Logic 174 (2023), no. 5, Paper No. 103248, 18 pp.
58. Samson Leung.
STABILITY, CATEGORICITY AND AXIOMATIZATION OF ABSTRACT ELEMENTARY CLASSES, PhD
thesis 194 pages, 2023.
59. STABILITY RESULTS ASSUMING
TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING. SAMSON LEUNG 07
August 2023, JSL
pp. 1-43
60.
Marcos
Mazari-Armida, A note on torsion modules with pure embeddings, Notre
Dame J. Formal Logic 64(4): 407-424 (November 2023)
arXiv:2104.10160
61. MARCOS MAZARI-ARMIDA AND WENTAO YANG. BUILDING MODELS IN SMALL CARDINALS IN
LOCAL ABSTRACT ELEMENTARY CLASSES, Journal of Symbolic Logic, 2024
Page 1-10, Released: 2024-04-29. https://doi.org/10.1017/jsl.2024.32
Preprints:
1.
Samson
Leung, Categoricity transfer for short AECs with amalgamation over sets.
Submitted 34 pages
arXiv:2203.08956
2. Wentao Yang, An NIP-like notion in abstract elementary classes. 19 pages arXiv:2303.04125 submitted.
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Last modified: August 12, 2024 th, 2024 |