Axel Tiger Norkvist

Research

A Penrose tiling with rhombi exhibiting fivefold symmetry.

Noncommutative Riemannian Geometry

The research group is focused on questions related to metric aspects of noncommutative geometry, such as Levi-Civita connections and curvature, mainly from the viewpoint of (twisted) derivation based calculi.

Publications

2023

Axel Tiger Norkvist (2023)

The Noncommutative Geometry of Real Calculi (Doctoral thesis, comprehensive summary)

https://dx.doi.org/10.3384/9789180753326

2021

Axel Tiger Norkvist (2021)

Morphisms of real calculi from a geometric and algebraic perspective (Licentiate thesis, comprehensive summary)

https://dx.doi.org/10.3384/lic.diva-175740

Joakim Arnlind, Axel Tiger Norkvist (2021)

Noncommutative minimal embeddings and morphisms of pseudo-Riemannian calculi Journal of Geometry and Physics, Vol. 159, Article 103898 (Article in journal)

https://dx.doi.org/10.1016/j.geomphys.2020.103898

Supervisor

Joakim Arnlind

Head of Department, Professor

Organisation

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.

A tiling of the hyperbolic plane. CRED: By Claudio Rocchini - Own work, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=1669501.

Algebra, Geometry and Discrete Mathematics (ALGD)

Our research focuses on a number of different subject areas such as algebra, geometry, topology, dynamic systems, combinatorics and graph theory. The division consists of about twenty teachers, researchers and doctoral students.

Studenthuset on Campus Valla in Linköping

About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.