Keyword: non elementary classification (and aec)

Grossberg+Shelah, A nonstructure theorem for an infinitary theory which has the unsuperstability property -- Illinois J Math 30 (1986) 364-390
GrSh:259 1998-09-24 [pdf] [ps] [abstract] [arXiv:math.LO/9809196]
Grossberg+Shelah, On Hanf numbers of the infinitary order property
Mekler+Shelah, $L_ {\infty\omega}$-free algebras -- Algebra Universalis 26 (1989) 351-366
Makkai+Shelah, Categoricity of theories in $L_ {\kappa\omega},$ with $\kappa$ a compact cardinal -- Annals Pure and Applied Logic 47 (1990) 41-97
HaSh:323 1995-12-01 [pdf] [ps] [abstract] [arXiv:math.LO/9201240]
Hart+Shelah, Categoricity over $P$ for first order $T$ or categoricity for $\phi\in{\rm L}_ {\omega_ 1\omega}$ can stop at $\aleph_ k$ while holding for $\aleph_ 0,\cdots,\aleph_ {k-1}$ -- Israel J Math 70 (1990) 219-235
BlSh:330 1989-01-14 [pdf] [ps] [abstract] [arXiv:math.LO/9201241]
Baldwin+Shelah, The primal framework. I -- Annals Pure and Applied Logic 46 (1990) 235-264
BlSh:360 1989-01-14 [pdf] [ps] [abstract] [arXiv:math.LO/9201246]
Baldwin+Shelah, The primal framework. II. Smoothness -- Annals Pure and Applied Logic 55 (1991) 1-34
KlSh:362 1998-12-05 [pdf] [ps] [abstract] [arXiv:math.LO/9602216]
Kolman+Shelah, Categoricity of Theories in $L_{\kappa,\omega}$, when $\kappa$ is a measurable cardinal. Part 1 -- Fundamenta Math 151 (1996) 209-240
BlSh:393 1995-02-21 [pdf] [ps] [abstract] [arXiv:math.LO/9502231]
Baldwin+Shelah, Abstract classes with few models have `homogeneous-universal' models -- J Symbolic Logic 60 (1995) 246-265
ShVi:635 1997-07-25 [pdf] [ps] [abstract] [arXiv:math.LO/9707227]
Shelah+Villaveces, Toward Categoricity for Classes with no Maximal Models -- Annals Pure and Applied Logic 97 (1999) 1-25
ShVi:648 2016-11-23 [pdf] [abstract] [arXiv:math.LO/0404258]
Shelah+Villaveces, Dimension blocking categoricity in higher logics
ShUs:837 2009-06-08 [pdf] [ps] [abstract] [arXiv:math.LO/0612350]
Shelah+Usvyatsov, Model theoretic stability and categoricity for complete metric spaces -- Israel J Math 182 (2011) 157-198
BlSh:862 2007-11-22 [pdf] [ps] [abstract]
Baldwin+Shelah, Examples of non-locality -- J Symbolic Logic 73 (2008) 765-782
JrSh:875 2013-03-03 [pdf] [ps] [abstract]
Jarden+Shelah, Non-forking frames in abstract elementary classes -- Annals Pure and Applied Logic 164 (2013) 135-191 see also 966
JaSh:940 2010-09-14 [pdf] [ps] [abstract]
Jarden+Shelah, Non forking good frames minus local character
BlSh:959 2012-02-21 [pdf] [ps] [abstract]
Baldwin+Shelah, The stability spectrum for classes of atomic models -- J Math Logic 12 (2012) 19 pps.
Jarden+Shelah, Existence of uniqueness triples without stability
BlLrSh:1003 2013-12-19 [pdf] [ps] [abstract]
Baldwin+Larson+Shelah, Almost Galois $\omega$-Stable classes
Baldwin+Laskowski+Shelah, Constructing many atomic models in $\aleph_1$ -- J Symbolic Logic 81 (2016) 1142-1162
KpLaSh:1055 [abstract]
Kaplan+Lavi+Shelah, The generic pair conjecture for dependent finite diagrams -- Israel J Math 212 (2016) 259-287
Laskowski+Shelah, A strong failure of $\aleph_0$ stability for atomic classes
ShVe:1119 2018-02-04 [pdf] [abstract] [arXiv:math.LO/1702.08281]
Shelah+Vasey, Abstract elementary classes stable in $\aleph_0$
Larson+Shelah, An Extendable structure with a rigid elementary extension