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Algebra, Geometry and Discrete Mathematics (ALGD)

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

Courses in mathematics are a central element in many educational programs at LiU and our teaching includes a wide range of courses from basic to advanced level.

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.
Arrows between points and other in a pattern

Algebra and representation theory

The members of the group work within the fields of representation theory of associative algebras and Lie algebras, and non-associative algebras.
A 3-edge-coloring of the Desargues graph. Created by: Koko90. CC BY-SA 3.0. https://en.wikipedia.org/wiki/Edge_coloring#/media/

Graph Theory

The research group in graph theory at Linköping University is primarily interested in classic graph theory with a particular focus on graph coloring and Hamiltonian graph theory.
Jgmoxness, CC BY-SA 4.0 <https://creativecommons.org/licenses/by-sa/4.0>, via Wikimedia Commons

Algebraic Combinatorics

The practitioners of algebraic combinatorics are interested in combinatorial aspects of algebraic objects in order to explain, make concrete, and describe their properties.
Simulation of brain

Biomedical Image Science

We develop methods & techniques for depicting anatomy & function in the human body & its organs. From imaging techniques, through methods of analysis and quantification of image information, to validation of new methods and image-based biomarkers

Doctoral studies in Mathematics

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Doctoral studies in Mathematical Sciences

Within mathematical sciences we study questions of a mathematical character, either from a purely theoretical perspective or directed towards practical applications. In either case, the mathematical problem and its properties is the main focus.
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Research School in Interdisciplinary Mathematics

The Department of Mathematics offers a doctoral programme for students with a strong mathematical interest who are interested to apply mathematics on practical problems in different fields such as engineering, business, computer science and industry.
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PhD courses

Linköping University offers third-cycle courses for PhD students. On Forskarstudieinfo, you will find LiU’s current courses and syllabuses at doctoral level.

Forskarstudieinfo

School collaboration

Maths coaches Elin Svensson och Jakob Emanuelsson

Maths Coach Online

Maths Coach Online is a chat service offering pupils in primary and secondary school free online mathematics help from university students. Maths Coach Online also provides a basis for research on how to deliver online-based education.

Contacts at the Division of Algebra, Geometry and Discrete Mathematics (ALGD)

Head of Division

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Carl Johan Casselgren

Professor, Head of Division

Director of Studies

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Ulf Janfalk

Associate Professor

Director of Studies

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Jesper Thorén

Deputy Head of Department, Associate Professor

Director of Studies

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Mikael Langer

Associate Professor

Administrator

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Malin Aurell

Coordinator

Staff

Photo of Mats Aigner
Mats Aigner
Associate Professor
Photo of Fredrik Andersson
Fredrik Andersson
Associate Professor
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Pelle Andersson
PhD student
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Joakim Arnlind
Head of Department, Professor
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Armen Asratian
Photo of Micaela Bergfors
Micaela Bergfors
Lecturer
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Göran Bergqvist
Professor
Photo of Daniel Carlsson
Daniel Carlsson
Lecturer
Photo of Carl Johan Casselgren
Carl Johan Casselgren
Professor, Head of Division
Photo of Erik Darpö
Erik Darpö
Associate Professor
Photo of Jonna Gill
Jonna Gill
Lecturer
Photo of Magnus Herberthson
Magnus Herberthson
Professor
Photo of Victor Hildebrandsson
Victor Hildebrandsson
PhD student
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Axel Hultman
Professor
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Milagros Izquierdo
Professor
Photo of Hans Lundmark
Hans Lundmark
Associate Professor, Docent
Photo of Jonathan Nilsson
Jonathan Nilsson
Associate Professor
Photo of Mika Norlén Jäderberg
Mika Norlén Jäderberg
PhD student
Placeholder for missing image of Stefan Rauch
Stefan Rauch
Photo of Jan Snellman
Jan Snellman
Associate Professor, Docent
Photo of Jesper Thorén
Jesper Thorén
Deputy Head of Department, Associate Professor
Photo of Axel Tiger Norkvist
Axel Tiger Norkvist
Lecturer
Placeholder for missing image of Vitalij Tjatyrko
Vitalij Tjatyrko
Senior Associate Professor

Address

Visiting address

Department of Mathematics, B Building, entrance 21-25, Campus Valla

Postal address

Linköping University
Department of Mathematics
581 83 Linköping
Sweden

Seminars

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The Mathematical Colloquium

The Mathematical Colloquium is a seminar series at the Department of Mathematics that addresses a broad mathematical audience.
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Seminars in Interdisciplinary Mathematics

The aim of the seminars is to obtain knowledge about interesting mathematical application problems. We invite people from different companies and university institutions to discuss problems and technical challenges they have in their operations.
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Algebra seminar

Algebra Seminar is a seminar series at the Department of Mathematics.

New Publications

2025

Björn Johansson, Fredrik Andersson, Martin Gustavsson (2025) Replacing on-premise ERP with cloud ERP solutions - Reasons and Drivers Procedia Computer Science, Vol. 256, p. 521-529 (Article in journal) Continue to DOI
Carl Johan Casselgren, Michal Malafiejski, Krzysztof Pastuszak, Petros A. Petrosyan (2025) Near-interval edge colorings of graphs Discrete Applied Mathematics, Vol. 372, p. 23-36 (Article in journal) Continue to DOI
Carl Johan Casselgren, Mesfin Masre (2025) General degree-eccentricity index of unicyclic graphs of given order, girth and maximum degree Discrete Applied Mathematics, Vol. 368, p. 30-44 (Article in journal) Continue to DOI
Victor Hildebrandsson (2025) Octonion algebras over schemes and the equivalence of isotopes and isometric quadratic forms Journal of Algebra, Vol. 669, p. 26-49 (Article in journal) Continue to DOI
Alfredo Ordinola, David Abramian, Magnus Herberthson, Anders Eklund, Evren Özarslan (2025) Super-resolution mapping of anisotropic tissue structure with diffusion MRI and deep learning Scientific Reports, Vol. 15, Article 6580 (Article in journal) Continue to DOI
Daniel Lännström, Patrik Lundstrom, Johan Oinert, Stefan Wagner (2025) Prime group graded rings with applications to partial crossed products and Leavitt path algebras Journal of Pure and Applied Algebra, Vol. 229, Article 107842 (Article in journal) Continue to DOI

2024

Joakim Arnlind, Kwalombota Ilwale (2024) On the geometry of (σ, τ)-algebras Mathematical Research Letters, Vol. 31, p. 1263-1303 (Article in journal) Continue to DOI
Carl Johan Casselgren (2024) Coloring Hypergraphs from Random Lists The Electronic Journal of Combinatorics, Vol. 31, Article P4.75 (Article in journal) Continue to DOI
Ruben Hidalgo, Milagros Izquierdo (2024) Cyclic-Schottky strata of Schottky groups Bulletin of the London Mathematical Society, Vol. 56, p. 3412-3427, Article 100046428 (Article in journal) Continue to DOI
Carl Johan Casselgren, Jonas Granholm, Fikre B. Petros (2024) Extending partial edge colorings of iterated cartesian products of cycles and paths Discrete Mathematics & Theoretical Computer Science, Vol. 26, Article 11377 (Article in journal) Continue to DOI

Related content

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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.
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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.
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Work at LiU

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