I am a Visiting Assistant Professor in the School of Mathematics at Georgia Tech. You can reach me at wheeler dot math dot gatech dot edu.
This summer I am supervising an REU project on toric varieties and principal 2-minor ideals.
Check out my Youtube channel!
My research interests are in commutative algebra, combinatorial commutative algebra, and algebraic geometry. Commutative algebra and algebraic geometry are closely linked through the study of solution sets V(S) to systems S of polynomial equations. The subtlety comes from different collections of polynomials defining the same solution set. It is helpful then, and non-trivial, to determine the largest set or ideal of polynomials defining V(S). The geometric structure of V(S) is reflected in the algebraic structure of its defining ideal — this is the phenomenon Hilbert’s Nullstellensatz describes.
My research profile reflects an outward trajectory from my initial interest in principal minor ideals, to projects which use a wide range of combinatorial techniques. Areas of combinatorial commutative algebra that appear in my work include matroids and matroid varieties, posets, graph theory, toric varieties, Stanley-Riesner rings, sandpile groups, and tropical geometry.