About Hector Ramos

Education: Majoring in Mathematics and Mathematics Education
Mentor: Craig Spencer, Ph.D.
Project: Generalizing Brink-Schauz Theorem

Presented is a generalization of the Brink-Schauz Theorem for systems of homogeneous polynomials over finite fields. Building upon the framework of the Chevalley-Warning Theorem and its extensions, we establish new sufficient conditions under which a projective line of solutions exists with basis elements constrained to a product of subsets of a finite field.