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  1. ; (, Bulletin of the London Mathematical Society)
    Abstract We prove various results around indiscernibles in monadically NIP theories. First, we provide several characterizations of monadic NIP in terms of indiscernibles, mirroring previous characterizations in terms of the behavior of finite satisfiability. Second, we study (monadic) distality in hereditary classes and complete theories. Here, via finite combinatorics, we prove a result implying that every planar graph admits a distal expansion. Finally, we prove a result implying that no monadically NIP theory interprets an infinite group, and note an example of a (monadically) stable theory with no distal expansion that does not interpret an infinite group. 
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    Free, publicly-accessible full text available July 25, 2026
  2. ; (, Transactions of the American Mathematical Society, Series B)
    The authors correct results in “Characterizations of monadic NIP” [Trans. Amer. Math. Soc. Ser. B 8 (2021), pp. 948–970]. The notion of endless indiscernible triviality is introduced and replaces indiscernible triviality throughout, in particular in Theorem 1.1. The claim regarding the failure of 4-wqo in Theorem 1.2 is withdrawn and remains unproved. 
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  3. ; ; (, Model Theory)
    For an $$\aleph_1$$-categorical atomic class, we clarify the space of types over the unique model of size $$\aleph_1$$. Using these results, we prove that if such a class has a model of size $$\beth_1^+$$ then it is $$\omega$$-stable. 
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  4. ; (, Fundamenta Mathematicae)
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