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Analysis and Mathematics Education (ANDI)

The Division of Analysis and Mathematics Education conducts both interdisciplinary and applied research in various branches of analysis and didactics of mathematics.

For applied mathematics, the goals are to introduce mathematical methods and theories to already existing areas in science and technology, as well as to develop tools for solving new problems.

Mathematics, and mathematical analysis, has a natural and important place in many of Linköping University's educational programs, especially the master programs in engineering, and the division's teaching consists of basic, as well as advanced, courses in mathematics for these students.

Didactics of mathematics studies different aspects and conditions for teaching and learning mathematics and is an important element in teacher education. It is therefore natural to have activities in didactics of mathematics at the Department of Mathematics to ensure that both the didactic and mathematical content are of high quality in this area.

Research

Group picture of Nageswari Shanmugalingam, Anders Björn, Jana Björn and Tomas Sjödin.

Nonlinear Potential Theory

The research group is mainly interested in analysis on metric spaces, and in particular nonlinear potential theory associated with p-harmonic functions and quasiminimizers in Euclidean and metric spaces.
Reflection in the water.

Differential Equations and Analysis on Metric Spaces

Differential equations describe many real-world phenomena but can rarely be solved exactly. We therefore study properties of their solutions in other ways, in very general situations, similarly to creating an identikit of an unknown criminal.
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Teaching and learning statistics at the secondary level

Research shows that it is challenging for students to learn statistical concepts and methods. Teachers need preparedness and tools to be able to support their students. The project therefore studies the teaching and learning of statistics.

Doctoral studies in Mathematics

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Doctoral studies in Mathematics Education

Mathematics Education aims to understand and contribute to further development of mathematics teaching and learning at all levels and to investigate the role of mathematics in people's opportunities to understand and act in our complex environment.
Picter of stones in diffrent foramtions

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.

Contacts at the Division of Analysis and Mathematics Education (ANDI)

Head of Division

Photo of Tomas Sjödin

Tomas Sjödin

Senior Associate 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

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Helena Larsson

Coordinator

Staff

Photo of Lars Alexandersson
Lars Alexandersson
Associate Professor
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Gunnar Aronsson
Professor Emeritus
Photo of Martin Bengtsson
Martin Bengtsson
Lecturer
Photo of Magnus Berggren
Magnus Berggren
Lecturer
Photo of Jonas Bergman Ärlebäck
Jonas Bergman Ärlebäck
Professor
Photo of Christer Bergsten
Christer Bergsten
Professor Emeritus
Photo of Anders Björn
Anders Björn
Professor
Photo of Jana Björn
Jana Björn
Professor
Photo of Daniel Bozi
Daniel Bozi
Lecturer
Photo of Behnam Esmayli
Behnam Esmayli
Associate Professor
Photo of Peter Frejd
Peter Frejd
Associate Professor, Docent
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Daniel Hansevi
Photo of Ulf Janfalk
Ulf Janfalk
Associate Professor
Photo of Sara Julsgård
Sara Julsgård
PhD student
Photo of Vladimir Kozlov
Vladimir Kozlov
Professor Emeritus
Photo of Martin Krepela
Martin Krepela
Associate Professor
Placeholder for missing image of Natan Kruglyak
Natan Kruglyak
Professor Emeritus
Photo of Mikael Langer
Mikael Langer
Associate Professor
Photo of David Manolis
David Manolis
PhD student
Placeholder for missing image of Vladimir Mazya
Vladimir Mazya
Professor Emeritus
Photo of Jakob Melin
Jakob Melin
PhD student
Photo of Patrik Petters
Patrik Petters
Lecturer
Photo of David Rule
David Rule
Associate Professor, Docent
Photo of Tomas Sjödin
Tomas Sjödin
Senior Associate Professor, Head of Division
Photo of Björn-Oskar Boson Textorius
Björn-Oskar Boson Textorius
Photo of Johan Thim
Johan Thim
Associate Professor
Photo of Vladimir Tkatjev
Vladimir Tkatjev
Senior Associate Professor
Placeholder for missing image of Per Weinerfelt
Per Weinerfelt
Photo of Malgorzata Wesolowska
Malgorzata Wesolowska
Lecturer

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.

New Publications

2026

Solange Mukeshimana, David Rule (2026) Some more sparse bounds for rough and smooth pseudodifferential operators Proceedings of the Royal Society of Edinburgh. Section A Mathematics (Article in journal) Continue to DOI
Anders Björn, Jana Björn, Lukáš Malý (2026) Non-quasicontinuous Newtonian functions and outer capacities based on Banach function spaces Revista Matemática Complutense (Article in journal) Continue to DOI
Anders Björn, Jana Björn, Riikka Korte, Sari Rogovin, Timo Takala (2026) Preserving Besov (fractional Sobolev) energies under sphericalization and flattening Journal für die Reine und Angewandte Mathematik (Article in journal) Continue to DOI
Sara Julsgård, Gunnar Höst (2026) Supporting systems thinking: Collaborative learning with an interactive carbon cycle visualisation International Journal of Science Education (Article in journal) Continue to DOI
Irina Asekritova, Natan Kruglyak, Mieczyslaw Mastylo (2026) Invertible and Fredholm operators on interpolation scales Journal of Approximation Theory, Vol. 314, Article 106213 (Article in journal) Continue to DOI
Anders Björn, Jana Björn, Sylvester Eriksson-Bique, Xiaodan Zhou (2026) Uniqueness and nonuniqueness of p-harmonic Green functions on weighted Rn and metric spaces Journal of Differential Equations, Vol. 453, Article 113932 (Article in journal) Continue to DOI

2025

Peter Frejd, Pauline Vos (2025) Theorizing how citizens and vocational workers interact in co-productivity chains with professional mathematicians Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) (Conference paper)
Karolina Muhrman, Peter Frejd (2025) Subject integrated team teaching vs. textbook learning: A comparative study on students' experiences in vocational mathematics education Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) (Conference paper)
Karolina Muhrman, Peter Frejd (2025) Applied Problem-Solving Skills of Vocational Students' Before and After a Teaching Intervention on Workplace Contexts International Horizons in Mathematics Modelling Education. International Perspectives on the Teaching and Learning of Mathematical Modelling, p. 321-332 (Chapter in book) Continue to DOI
Pauline Vos, Oda Heidi Bolstad, Javier Díez-Palomar, Michele Fiorentino, Peter Frejd (2025) An introduction to TWG7: Mathematics for work, society and personal development -lifelong learning Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) (Conference paper)

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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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