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.