Research Questions, Et Cetera
My current projects all involve commutative algebra over the Cox ring of projective toric varieties. See my oral exam presentation for some topics and questions that I am currently working on.
Publications and preprints
 Bounds on Multigraded Regularity
With Juliette Bruce, Lauren Cranton Heller
arXiv:2208.11115 [math.AC]
23 August 2022
Multigraded regularity of powers of two ideals on the Hirzebruch surface.
 A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2
With Michael K. Brown
arXiv:2208.00562 [math.AG] [math.AC]
1 August 2022
The vanishing requirements which imply a Horrockstype splitting criterion.
 Characterizing Multigraded Regularity on Products of Projective Spaces
With Juliette Bruce, Lauren Cranton Heller
arXiv:2110.10705 [math.AC] [math.AG]
20 October 2021
The twists in Beilinsonâ€™s spectral sequence corresponding to linearity and quaslinearity.

The Virtual Resolutions Package for Macaulay2
With Ayah Almousa, Juliette Bruce, Michael C. Loper
Journal of Software for Algebra and Geometry, Volume 10 (2020)
arXiv:1905.07022 [math.AG] [math.AC]
16 May 2019 
Computations over Local Rings in Macaulay2
arXiv:1710.09830 [math.AC]
26 October 2017 
What is the optimal way to prepare a Bell state using measurement and feedback?
With Leigh S. Martin, K. Birgitta Whaley
Quantum Science and Technology, Volume 2, Number 4 (2017)
arXiv:1704.00332 [quantph]
2 April 2017
Interactions of qubits in a remote entanglement generation protocol.