Professor of Mathematics
Caterina (Katia) Consani
Johns Hopkins University
My research pursues the study and develops new geometric frameworks for arithmetic by combining methods from noncommutative geometry, algebraic and arithmetic geometry, category theory, and number theory.
Guiding Vision
Throughout the past two decades, my research has been guided by the conviction that arithmetic should admit a common mathematical language in which noncommutative and algebraic-geometric techniques can coexist, interact, and ultimately illuminate one another.
What is the geometry of the prime numbers?
Research focus
I focus on developing the concept of "absolute geometry" (a.k.a.geometry over the "absolute point") and exploring fundamental geometries and geometries in characteristic one. The findings from this work have significant applications in number theory, including potential contributions toward the Riemann Hypothesis.