Research Interests

Historically, my research has fallen into the following buckets:

• Volumes of flow polytopes

• Transport network optimization

I am generally interested in combinatorial and urban planning topics including, but not limited to:

• Weak order lattice 

• Directed acyclic graphs (DAGs)

• Flow polytopes

• Triangulations of polytopes

• Discrete optimization

• Equally distributed equivalents

• Transportation equity 

I am also interested in data wrangling, geography and maps, meteorology, and linguistics.

Papers

1. Volume inequalities for flow polytopes of full directed acyclic graphs (joint with Benjamin Braun), preprint.