MSRI- Combinatorial Commutative Algebra and Applications

  1. Title:
    Alexander duality and total positivity: a cluster/commutative algebra connection

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  2. Title:
    Sums of squares and nonnegative polynomials in multigraded rings

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  3. Title:
    Do squarefree monomial ideals satisfy the persistence property?

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  4. Title:
    Compatibly split subvarieties of the Hilbert scheme of points in the plane

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  5. Title:
    Homology of Littlewood complexes

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  6. Title:
    Twenty Points in \({P}^3\)

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  7. Title:
    Relations Between Minors (joint with Winfried Bruns and Aldo Conca)

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  8. Title:
    Regularity for powers of ideals of maximal minors

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  9. Title:
    Tropical geometry for computational algebra

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  10. Title:
    The combinatorics of binomial ideals

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  11. Title:
    Euler--Koszul homology for hypergeometric systems

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  12. Title:
    Duality in Boij-Soederberg Theory

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  13. Title:
    Absolutely Koszul algebras

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  14. Title:
    Cut ideals and their application to regular designs in statistics

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  15. Title:
    Derived Categories of Toric Varieties

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  16. Title:
    Enumerations deciding the Weak Lefschetz Property

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  17. Title:
    On generalized lower bound conjecture for simplicial polytopes

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  18. Title:
    Toric algebra of hypergraphs

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  19. Title:
    Extensions of Birch\'s Theorem, with applications to dynamical systems

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  20. Title:
    Positivity of algebraic cycles and convexity of combinatorial geometries

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