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Award ID contains: 1902123

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  1. ; ; (, International Mathematics Research Notices)
    Abstract Combining recent results on Noetherianity of twisted commutative algebras by Draisma and the resolution of Stillman’s conjecture by Ananyan–Hochster, we prove a broad generalization of Stillman’s conjecture. Our theorem yields an array of boundedness results in commutative algebra that only depend on the degrees of the generators of an ideal and not the number of variables in the ambient polynomial ring. 
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  2. ; ; (, SIAM Journal on Discrete Mathematics)
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  3. ; (, Transactions of the American Mathematical Society)
    We propose a notion of minimal free resolutions for differential modules, and we prove existence and uniqueness results for such resolutions. We also take the first steps toward studying the structure of minimal free resolutions of differential modules. Our main result in this direction explains a sense in which the minimal free resolution of a differential module is a deformation of the minimal free resolution of its homology; this leads to structural results that mirror classical theorems about minimal free resolutions of modules. 
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  4. ; ; (, Algebraic Geometry)
    null (Ed.)
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  5. ; ; (, Mathematische Zeitschrift)
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  6. ; ; (, Michigan Mathematical Journal)
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  7. (, Algebraic Geometry)
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  8. ; ; (, Mathematical research letters)
    null (Ed.)
    Accepted Manuscript Full Text Available