Research

Research summary:

I specialize in studying solution sets of polynomial equations whose coefficients are in finite fields. Finite fields have a special function associated with them called the Frobenius (p-th power) map, and I exploit algebraic properties of the Frobenius map to study geometric properties of polynomial solutions. My work has a significant overlap with valuation theory, with an eye toward understanding non-noetherian rings that arise naturally in geometry and arithmetic, and using this understanding to attack problems about noetherian rings.

Research publications: