Research Questions, Et Cetera

My current projects all involve commutative algebra over Cox rings of projective varieties.
See my oral exam presentation for some topics and questions that lead me to this point.

Publications and preprints

Multigraded regularity of powers of two ideals on the Hirzebruch surface.

The vanishing requirements which imply a Horrocks-type splitting criterion.

The terms in Beilinson’s spectral sequence corresponding to linearity and quaslinearity.

A virtual resolution for 3 points in $\PP^1\times\PP^1$ as a subcomplex of the minimal free resolution.

Interactions of qubits in a remote entanglement generation protocol.