Associate ProfessorBrendan Creutz

I am a mathematician with research interests at the intersection of number theory, algebra, and geometry. My work focuses on understanding solutions to systems of polynomial equations and how these solutions behave over different number systems. More broadly, I am interested in the deep connections between arithmetic, geometry, and symmetry, often combining abstract theoretical ideas with explicit computational methods. My research aims to develop new tools for studying longstanding mathematical problems while also advancing computational techniques that can be used across pure mathematics and its application to fields such as cryptography.