Research

I am a Ph.D. student at Texas A&M University working in applied and computational algebraic geometry, advised by Dr. Frank Sottile. My mathematical interests include Galois theory in enumerative geometry, computational algebraic geometry, and real algebraic geometry. Applications of these systems to computer science, physics, and biology are of interest.

A reverse chronological list of my publications. For abstracts and statuses, see the document below.

• Computing Galois groups of finite Fano problems
• Real solutions to systems of polynomial equations in Macaulay2
• Galois Groups in Enumerative Geometry and Applications
• Polyhedral Homotopies in Cox Coordinates
• Decomposable Sparse Polynomial Systems, Journal of Software for Algebra and Geometry Vol. 11 (2021), 53-59
• Software for decomposable sparse polynomial systems.
• Solving Decomposable Sparse Systems, Numerical Algorithms 88, 453-474 (2021)