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Creators/Authors contains: "Precup, Martha"

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  1. ; ; ; (, Forum of Mathematics, Sigma)
    Free, publicly-accessible full text available June 30, 2026
  2. ; (, Pure and Applied Mathematics Quarterly)
    Free, publicly-accessible full text available January 1, 2026
  3. ; ; (, Transformation Groups)
    Full Text Available 
  4. ; (, Osaka Journal of Mathematics)
    Accepted Manuscript Full Text Available
  5. ; ; (, Transactions of the American Mathematical Society)
    The Springer resolution of the nilpotent cone is used to give a geometric construction of the irreducible representations of Weyl groups. Borho and MacPherson obtain the Springer correspondence by applying the decomposition theorem to the Springer resolution, establishing an injective map from the set of irreducible Weyl group representations to simple equivariant perverse sheaves on the nilpotent cone. In this manuscript, we consider a generalization of the Springer resolution using a variety defined by the first author. Our main result shows that in the type A case, applying the decomposition theorem to this map yields all simple perverse sheaves on the nilpotent cone with multiplicity as predicted by Lusztig’s generalized Springer correspondence. 
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  6. ; (, The Electronic Journal of Combinatorics)
    In 2015, Brosnan and Chow, and independently Guay-Paquet, proved the Shareshian-Wachs conjecture, which links the Stanley-Stembridge conjecture in combinatorics to the geometry of Hessenberg varieties through Tymoczko's permutation group action on the cohomology ring of regular semisimple Hessenberg varieties. In previous work, the authors exploited this connection to prove a graded version of the Stanley-Stembridge conjecture in a special case. In this manuscript, we derive a new set of linear relations satisfied by the multiplicities of certain permutation representations in Tymoczko's representation. We also show that these relations are upper-triangular in an appropriate sense, and in particular, they uniquely determine the multiplicities. As an application of these results, we prove an inductive formula for the multiplicity coefficients corresponding to partitions with a maximal number of parts. 
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  7. ; (, Communications in Algebra)
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  8. ; ; (, La Matematica)
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  9. ; (, Geometriae Dedicata)
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  10. ; (, Transactions of the American Mathematical Society)
    null (Ed.)
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