Other Writings

Notes, surveys, and other mathematical writing available as PDFs.

• Notes on cubical hyperresolutions    Some (incomplete) notes on cubical hyperresolutions I wrote down for a seminar Mircea Mustață ran in Fall 2008 – Winter 2009. Parts of this also became part of a survey paper I wrote with Sándor Kovács on Du Bois singularities. It closely follows parts of the first chapter of [GNPP].
• Generalized divisors and reflexive sheaves on normal varieties    These are some notes I wrote for a class I taught on “Introduction to schemes and cohomology”. They are based on several papers of Hartshorne on the same topic (although he did it in greater generality, without the normality hypothesis).
• Examples of odd behavior with seminormality    This short document collects counterexamples to plausible but false statements about seminormality. The examples are not original; I simply gathered them together for convenience.
• A characterization of finitely generated modules    My undergraduate thesis at Whitman College. It gives an algorithm for expressing finitely generated modules over a Euclidean domain as a sum of cyclic modules, and derives several standard results.