Joël Riou

Joël Riou is a Lecturer in Mathematics at Paris-Sud University since 2007, affiliated with the Arithmetic and Algebraic Geometry team. His research focuses on advanced topics in algebraic geometry, algebraic topology, and number theory, including motivic homotopy theory, K-theory, and étale cohomology. He holds a PhD in mathematics from the Jussieu Institute of Mathematics (2006), supervised by Bruno Kahn, with a thesis on number theory and homotopic theory of S-schemes.

Education: PhD in Mathematics (2006), DEA thesis on Homotopic Theory of S-schemes. Research interests span algebraic structures, motives, and applications of homotopy theory to algebraic geometry.

Publications emphasize foundational contributions to motivic operations, duality in étale cohomology, and Riemann-Roch theorems via A¹-homotopy theory. His work bridges abstract category theory with concrete geometric problems, often involving triangulated categories and stable homotopy frameworks.

He maintains an academic blog and has contributed lecture notes on cohomological invariants and mathematical software. No scientific awards are explicitly mentioned, though his work is widely cited in algebraic geometry literature.