Publications

Graduate work:

• Algebra and Geometry of irreducible toric vector bundles of rank n on P^n, with Christopher Manon

• Positivity properties of divisors on toric vector bundles, with Christopher Manon

• Cox rings of projectivized toric vector bundles and toric flag bundles, with Christopher Manon

Undergraduate work:

• Spectral properties of graphs associated to the Basilica group, with Antoni Brzoska, Samantha Jarvis, Luke G. Rogers, and Alexander Teplyaev

• Counting odd numbers in truncations of Pascal’s triangle, with Robert G. Donnelly, Molly W. Dunkum, and Stefan Schnake

Thesis

My thesis, Toric Bundles as Mori Dream Spaces, can be found here. 

Parts of the project were largely supported by code I'd written in Macaulay2. These functions are currently being generalized for wider application and a link to the github will be posted as soon as they are available.