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. The research is based on mathematical proofs and/or computer-assisted calculations.
Doctoral studies in Mathematical Sciences

Doctoral studies in Mathematical Sciences are offered by the Department of Mathematics (MAI), and the Department of Science and Technology (ITN). Mathematical Sciences comprise the following subject areas:

  • Computational Mathematics is about the development and analysis of numerical methods and algorithms to solve mainly technical and scientific problems, formulated as mathematical models. Our research group in this area is successfully examining numerical methods for use on time-independent partial differential equations.
  • Mathematics is conducted in fields such as algebra, discrete mathematics, dynamic systems, functional analysis, inverse problems, mathematical physics, partial differential equations, and topology.
  • Mathematical Statistics is dedicated to probability theory and statistical inference theory. We are skilled in theoretical probability theory and multivariate statistics
  • Optimisation deals with theories and methods to analyse and solve mathematical decision problems. In general optimisation, MAI has one of the most prominent groups in Sweden, with extensive experience in practical optimisation and a well-balanced mix between mathematics and applications.
  • Interdisciplinary Mathematics covers research which involves two areas. The main area is within mathematical sciences (computational mathematics, mathematics, mathematical statistics, or optimisation), and the other is an area outside mathematical sciences, involving subjects such as physics, biology or medicine.

Teaching is based on lectures, seminars, group work and supervision. The doctoral student is expected to actively participate in seminars, guest lectures and conferences.

Doctoral studies in mathematical sciences prepare for a continued academic career involving research and teaching as well as for a professional life outside the university world. Mathematical breadth and depth, and the ability to absorb new theory and digest complex events are in high demand across a large part of the labour market. PhD level mathematicians are wanted in IT security, cryptology, resource optimization, simulations for example in pharmaceutical development, autonomous systems, risk analysis in finance and insurance, meteorology, communication systems, and many other areas. The impending future challenges, not least concerning sustainable development and climate transition, require significant mathematical expertise, both directly for example in optimization, mathematical modelling, and dynamical systems, and indirectly in that all relevant science and technology developments rely on a mathematical framework.

In order to join us as a student, you must have a keen interest in mathematics, regardless of which field you want to specialise in. All available positions are published on Linköping University’s Vacancies page. Use the dropdown menus to filter according to department and profession.




Research school

Current research

Abstract 3D pattern.

Modern Multivariate Statistical Analysis

Nowadays there is a great need to analyse complex high-dimensional data. Modern theories must be developed through the knowledge of the classical methods of multivariate statistics.

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.

Red blood cell.

Mathematical Modelling of the Blood Circulatory System

Mathematical models of the circulatory system can be used in order to better understand the system and so help diagnose blood-vascular diseases and other problems while also enabling planning for the treatment of these diseases.

Doctoral studies at Linköping University