# Research

## Preprints

## Ongoing projects

- Detecting and precluding toricity in reaction network theory
- Generic dimension of steady state varieties
- Generalized polyhedral homotopies and tropical steady state bounds

## Mathematical interests

**Computational and real algebraic geometry:** Gröbner bases and comprehensive Gröbner systems; toric geometry; tropical geometry;
matroids; cylindrical algebraic decomposition; quantifier elimination; homotopy continuation; intersection theory.
**Applied algebra, geometry and topology:** Chemical reaction networks; algebraic statistics and phylogenetics; image analysis; identifiability problems; persistent homology; point group determination.