Juan C. Migliore

The Hilbert function of a level algebra

Part 1. Nonexistence and Existence: Introduction Numerical conditions Homological methods Some refinements Constructing Artinian level algebras Constructing level sets of points Expected behavior Part 2. Appendix: A Classification of Codimension Three Level Algebras of Low Socle Degree: Appendix A. Introduction and notation Appendix B. Socle degree

Monomial ideals, almost complete intersections and the Weak Lefschetz property

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Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers

and Type

Ideals of general forms and the ubiquity of the Weak Lefschetz property

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Geometric consequences of extremal behavior in a theorem of Macaulay

Appendix C. Socle degree

Reduced Gorenstein codimension three subschemes of projective space

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Geometric Invariants for Liaison of Space Curves

Appendix D. Socle degree

Monomial Ideals and the Gorenstein Liaison Class of a Complete Intersection

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Classifying Hilbert functions of fat point subschemes in ℙ2

Appendix E. Socle degree

Determinantal schemes and Buchsbaum–Rim sheaves

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