Prof. Joseph Ayoub, Ph.D.
Visiting Fellow, CAS Research Group “Algebraic Groups, Motives and Applications”
University of Zurich
Mathematics
Joseph Ayoub is Professor of Mathematics at the University of Zurich, where he leads the research group in Algebraic Geometry.
His research specializes in algebraic geometry and motivic homotopy theory, with a particular focus on the theory of motives. Ayoub studies the relationship between motivic objects and their realizations, such as Betti and étale cohomology. His work also encompasses Grothendieck's six operations, the cohomology of algebraic varieties, and extensions of motivic theory to the setting of rigid analytic geometry over non-archimedean fields. His contributions to the conservativity conjecture and the formal structure of motivic categories are considered foundational for deeper developments in arithmetic geometry.
Joseph Ayoub is a member of Prof. Dr. Nikita Geldhauser`s CAS Research Group Algebraic Groups, Motives and Applications. He will be in Munich as a Visiting Fellow in the year 2025/2026.