Questions (probably outdated!)

These are some questions I’ve been thinking about lately. If you answer any of them I’ll owe you a nice cup of coffee.

• What are the obstructions for a derived category to have a full strong exceptional collections? What if they are all line bundles?

• When does a $D$-module have length 1?

See my oral exam presentation for some topics and questions that I am currently working on.

Publications and preprints

• 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 Virtual Resolutions Package for Macaulay2
  With Ayah Almousa, Juliette Bruce, Michael C. Loper
  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
  arXiv:1704.00332 [quant-ph]
  2 April 2017