Joakim Arnlind

Joakim Arnlind is a Professor and Head of the Department of Mathematics at Linköping University, Faculty of Science and Engineering. He is affiliated with the division of Algebra, Geometry and Discrete Mathematics (ALGD), where he leads research in non-commutative and algebraic geometry.

Research Interests: His work centers on algebraic aspects of geometry, particularly non-commutative Riemannian geometry, Poisson algebras, and the geometric interpretation of operator-valued functions. He investigates how classical geometric concepts can be generalized to noncommutative algebras, with applications in mathematical physics and quantum geometry.

Publication Trends: His recent publications (2020–2024) focus on Levi-Civita connections in noncommutative settings, quantum spheres, Kronecker algebras, and fuzzy spaces. The research emphasizes derivation-based calculi, metric compatibility, and the construction of geometric structures on noncommutative manifolds, reflecting a deep engagement with both algebraic and differential frameworks.

Scientific Awards:

• No awards explicitly mentioned in the provided text.

Advising and Grants: Joakim Arnlind is the main supervisor for PhD students Axel Tiger Norkvist and Kwalombota Ilwale. He leads the Noncommutative Riemannian Geometry research group and is involved in organizing academic workshops, such as the Workshop in Algebra and Noncommutative Geometry. While specific grants are not listed, his sustained publication output and leadership roles indicate active research funding and mentorship.

Labs and Teams: He leads the research group focused on Noncommutative Riemannian Geometry, exploring metric aspects such as connections and curvature using twisted derivation-based calculi. He is also part of the broader ALGD division, which includes researchers in algebra, geometry, combinatorics, and topology.