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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

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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.
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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.
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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.
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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.
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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

Photo of Carl Johan Casselgren

Carl Johan Casselgren

Professor, Head of Division

Director of Studies

Photo of Ulf Janfalk

Ulf Janfalk

Associate Professor

Director of Studies

Photo of Johan Thim

Johan Thim

Associate Professor

Director of Studies

Photo of Jesper Thorén

Jesper Thorén

Deputy Head of Department, Associate Professor

Director of Studies

Photo of Mikael Langer

Mikael Langer

Associate Professor

Administrator

Photo of Emelie Månsson

Emelie Månsson

Coordinator

Staff

Photo of Mats Aigner
Mats Aigner
Associate Professor
Photo of Fredrik Andersson
Fredrik Andersson
Associate Professor
Photo of Pelle Andersson
Pelle Andersson
PhD student
Photo of Joakim Arnlind
Joakim Arnlind
Head of Department, Professor
Photo of Armen Asratian
Armen Asratian
Professor Emeritus
Photo of Micaela Bergfors
Micaela Bergfors
Lecturer
Placeholder for missing image of Göran Bergqvist
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 Carl Elofsson
Carl Elofsson
PhD student
Photo of Jonna Gill
Jonna Gill
Lecturer
Photo of Magnus Herberthson
Magnus Herberthson
Professor
Photo of Victor Hildebrandsson
Victor Hildebrandsson
PhD student
Photo of Axel Hultman
Axel Hultman
Professor
Placeholder for missing image of Milagros Izquierdo
Milagros Izquierdo
Professor
Photo of Hans Lundmark
Hans Lundmark
Associate Professor, Docent
Photo of Jonathan Nilsson
Jonathan Nilsson
Associate Professor, Docent
Photo of Mika Norlén Jäderberg
Mika Norlén Jäderberg
PhD student
Placeholder for missing image of Stefan Rauch
Stefan Rauch
Professor Emeritus
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

The Mathematical Colloquium

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

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.

Algebra seminar

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

New Publications

2026

Jan Snellman (2026) Bounds for the entropy of graded algebras Communications in Algebra (Article in journal) https://dx.doi.org/10.1080/00927872.2026.2665319
Vitalij Tjatyrko, Alexandre Karasse (2026) Simple polynomial equations over (2×2)-matrices APPLIED GENERAL TOPOLOGY, Vol. 27, Article 24202 (Article in journal) https://dx.doi.org/10.4995/agt.24202
Joakim Arnlind, Victor Hildebrandsson (2026) On the existence of noncommutative Levi-Civita connections in derivation based calculi Journal of Geometry and Physics, Vol. 222, Article 105764 (Article in journal) https://dx.doi.org/10.1016/j.geomphys.2026.105764

2025

Carl Johan Casselgren, Anders Henricsson (2025) A NOTE ON DISTANCE LABELING OF GRAPHS Opuscula Mathematica, Vol. 45, p. 723-738 (Article in journal) https://dx.doi.org/10.7494/OpMath.2025.45.6.723
Mikael Axin, Tomas Sjödin, Anders Ekinge, Magdalena Smeds, Mikael Segersäll, Jesper Thorén (2025) Rätt matematik på rätt program: en översyn av tre civilingenjörsprogram vid Linköpings universitet Utbilda för framtida utveckling, p. 227-238 (Conference paper)
Vitalij Tjatyrko, Alexandre Karassev (2025) On structural numbers of topological spaces Mathematica Slovaca, Vol. 75, p. 1241-1248 (Article in journal) https://dx.doi.org/10.1515/ms-2025-0090
Stefan Rauch, Maria Przybylska (2025) When Knowledge of a Single Integral of Motion is Sufficient for Integration of Newton Equations q = M(q) Regulârnaâ i haoticeskaâ dinamika, Vol. 30, p. 866-885 (Article in journal) https://dx.doi.org/10.1134/S1560354725050077
Vitalij Tjatyrko (2025) On p-compatible topologies and their special cases Topology and its Applications, Vol. 374, Article 109243 (Article in journal) https://dx.doi.org/10.1016/j.topol.2025.109243
Jan Snellman (2025) The Multi-Generating Function for Intervals in Young's Lattice: some Comments on a Paper by Azam and Richmond The Electronic Journal of Combinatorics, Vol. 32, Article 49 (Article in journal) https://dx.doi.org/10.37236/13847
Magnus Herberthson, Peter J. Basser, Evren Özarslan (2025) Time-dependent diffusion in one-dimensional disordered media decorated by permeable membranes: Theoretical findings backed by simulations and a new disorder class Physics of fluids, Vol. 37, Article 067159 (Article in journal) https://dx.doi.org/10.1063/5.0272370

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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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