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 Horrocks-type 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 Beilinson’s spectral sequence corresponding to linearity and quaslinearity.
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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 [quant-ph]
2 April 2017
Interactions of qubits in a remote entanglement generation protocol.