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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.
An arm wearing a black shirt and a watch is pointing to math problems written with black pen on a whiteboard

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 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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Forskarstudieinfo

Linköping University's course descriptions for third-cycle courses.

Forskarstudieinfo

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 Jesper Thorén

Jesper Thorén

Deputy Head of Department, Associate Professor

Director of Studies

Photo of Mikael Langer

Mikael Langer

Associate Professor

Administrator

Photo of Helena Larsson

Helena Larsson

Administrator

Staff

Photo of Lars Alexandersson
Lars Alexandersson
Associate Professor
Gunnar Aronsson
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
Photo of Anders Björn
Anders Björn
Professor
Photo of Jana Björn
Jana Björn
Professor
Photo of Jennifer Chepkorir
Jennifer Chepkorir
Photo of Göran Forsling
Göran Forsling
Associate Professor
Photo of Peter Frejd
Peter Frejd
Associate Professor, Docent
Daniel Hansevi
Photo of Ulf Janfalk
Ulf Janfalk
Associate Professor
Photo of Sara Julsgård
Sara Julsgård
Research Assistant
Photo of Vladimir Kozlov
Vladimir Kozlov
Natan Kruglyak
Photo of Mikael Langer
Mikael Langer
Associate Professor
Photo of David Manolis
David Manolis
PhD student
Vladimir Mazya
Photo of David Rule
David Rule
Associate Professor, Docent
Photo of Tomas Sjödin
Tomas Sjödin
Senior Associate Professor, Head of Division
Photo of Björn Textorius
Björn Textorius
Photo of Johan Thim
Johan Thim
Associate Professor
Photo of Vladimir Tkatjev
Vladimir Tkatjev
Senior Associate Professor
Photo of Bengt-Ove Turesson
Bengt-Ove Turesson
Associate Professor
Per Weinerfelt
Photo of Malgorzata Wesolowska
Malgorzata Wesolowska
Lecturer
Photo of Anna Lundberg

Anna Lundberg

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

2024

Jennifer Chepkorir (2024) Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations
Peter Frejd, Pauline Vos (2024) The spirit of mathematical modeling-a philosophical study on the occasion of 50 years of mathematical modeling education The Mathematics Enthusiast, Vol. 21, p. 269-300 Continue to DOI
Vladimir Kozlov (2024) On the first subharmonic bifurcations in a branch of Stokes water waves Journal of Differential Equations, Vol. 379, p. 676-720 Continue to DOI

2023

Jennifer Chepkorir, Fredrik Berntsson, Vladimir Kozlov (2023) Solving stationary inverse heat conduction in a thin plate Partial Differential Equations and Applications, Vol. 4 Continue to DOI
Aksel Bergfeldt, Salvador Rodriguez-Lopez, David Rule, Wolfgang Staubach (2023) MULTILINEAR OSCILLATORY INTEGRALS AND ESTIMATES FOR COUPLED SYSTEMS OF DISPERSIVE PDES Transactions of the American Mathematical Society Continue to DOI
Anders Björn, Jana Björn, Juha Lehrback (2023) Volume growth, capacity estimates, p-parabolicity and sharp integrability properties of p-harmonic Green functions Journal d'Analyse Mathematique, Vol. 150, p. 159-214 Continue to DOI
Vladimir Kozlov (2023) The subharmonic bifurcation of Stokes waves on vorticity flow Journal of Differential Equations, Vol. 361, p. 183-218 Continue to DOI
Jonas Bergman Ärlebäck, Takashi Kawakami (2023) The relationship between mathematical modelling, statistics, and statistical modelling Advancing and Consolidating Research on Applications and Modelling in Mathematics Education – Approaches from ICME 14, p. 293-309 Continue to DOI
Anders Björn, Jana Björn, Visa Latvala (2023) The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces Potential Analysis, Vol. 59, p. 1117-1140 Continue to DOI
Gloria Ann Stillman, Toshikazu Ikeda, Stanislav Schukajow, Jussara de Loiola Araújo, Jonas Bergman Ärlebäck (2023) Survey of interdisciplinary aspects of the teaching and learning of mathematical modelling in mathematics education Advancing and Consolidating Research on Applications and Modelling in Mathematics Education – Approaches from ICME 14., p. 21-41

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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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