mathematics phd sweden

Third-cycle (doctoral) programme in mathematics

Curious to do research in the subject of mathematics? We offer opportunities for research for doctoral students.

Projects for PhD positions

Numerical analysis and spectral theory for partial differential equations with memory.

Contact: Christian Engström

PDEs are key tools in the modeling of processes in science and engineering. Many state-of-the-art PDE models in physics, finance, and biology include fractional derivatives to model long-range structural stochasticity and terms that represent a time delay. The project concerns breakthrough development in analysis and numerical analysis of (fractional) partial differential equations (PDEs) with memory. The aim of the project is to develop mathematical and numerical analysis that results in robust and very fast numerical methods that can be used to build digital twins of our world. The mathematical theory and new numerical methods provide a cornerstone in the development of efficient machine learning algorithms for PDEs and optimization with PDE constraints.

It is within the project possible to focus on (i) efficient numerical methods for the time-evolution problem, with applications to scientific machine learning and optimization (ii) new spectral theory and functional analysis for operator functions that is related to PDEs with memory.

The project will provide training in modern analysis or numerical analysis with applications in contemporary science and engineering, thus equipping the student with highly desirable skills for working in both industry and academia.

The project is part of a very active research area the Ph.D. student will benefit from existing collaborations in the research area with Durham University (UK), University of Zagreb (Croatia), and University of Bern (Switzerland).

We are looking for a highly motivated, enthusiastic, and curiosity-driven researcher. You have, or will shortly acquire, an M.Sc. degree in the field of applied mathematics, mathematical analysis, or a closely related study program. You have good team spirit and like to work in an internationally oriented environment. You are proficient in English.

The project is related to several ongoing national and international projects and the groups

Scientific Computing and Partial Differential Equations

Deterministic and Stochastic Modelling

Analytic micro-lokal analysis via the Bargmann transform

Contact: Joachim Toft

Pseudo-differential operators emerged in the 1930s in quantum physics for quantization (i.e. finding suitable transitions between observables in classical mechanics and quantum mechanics). A pseudo-differential calculus is a certain rule that transfer a function, defined in the phase space, to an operator. This function is called the symbol of the operator. The function corresponds to an observable classical mechanics and the operator is the corresponding observable in quantum mechanics.

Pseudo-differential operators fell somewhat into oblivion, but return to scene during 1960s in mathematics, initially to find convenient ways to invert certain differential operators. Later on, they became important in several other fields. For example, in time frequency analysis and signal processing, pseudo-differential operators are used to model non-stationary filters and to sort out noise.

The Bargmann transform transfers functions and (ultra) distributions on R^n to analytical functions, or more generally, to power series expansions on C^n. Correspondingly, operators can be transferred to so-called analytical pseudo-differential operators (also called Wick operators). Ideas for this appeared in the 1970s, but some of the fundamental continuity investigations were performed first during the past recent years. The advantage of this approach is that the objects are analytical functions, which possess several special structures, convenient in calculations and applications.

Similarly as for regular differential operators, one picks a function (still called a symbol) and arrange an operator. For analytical pseudo-differential operators, however, both the symbol and the functions that the operators act on, are analytical functions.

The project aims at, among others:

• Finding new conditions on the symbols to the analytic pseudo-differential operators, to guarantee suitable continuity properties
• Investigations of propagations of singularities (certain types of so-called wave-front sets).
• Finding characterizations of certain types of spaces of analytic functions.

We are looking for a person with enthusiasm and good knowledge in mathematical analysis. It is extra meritorious for the applicant to possess good knowledge in English.

Stochastic and deterministic variations in ecological, epidemiological or economical systems

Contact: Nacira Agram, Astrid Hilbert , Torsten Lindström , and Roger Pettersson

Formulating models using systems of differential equations is a standard procedure for taking into account the total effect of several different interacting processes. The solutions that arise are generally very complicated. Qualitative analysis involves analyzing well-chosen properties of the solutions instead. The long-term behaviour of the solutions becomes more important than the solutions themselves.

Systems of differential equations arise in many different applications and we concentrate primarily on ecological, epidemiological and economical systems. In these systems, species or market players can, for example, interact by competing with each other or parasitizing on each other. In some cases one can observe large variations over time and in others not. The need to be able to regulate and optimize the systems considered can be substantial.

Reasons for the variations are important for the possibilities of making predictions and controlling the observed systems. Sometimes there are mechanisms that cause purely random outbreaks and variations as in epidemiology, while systems that describe food chains can give rise to deterministic fluctuations with much larger predictability. In economic applications, predictions can be subjected to large uncertainty.

There is a variety of things to keep in mind when beginning the analysis of a system that potentially gives rise to variation over time. First, each model is a simplification of reality and one must ask to what extent features excluded from the model can affect the results. Within qualitative analysis, the concept of structural stability has been developed to deal with this type of omission. If the model is structurally stable, the results are not affected by small disturbances that result from what you have chosen not to include. Another question that often arises is how the model is able to handle parts of the system that can be isolated and studied separately. Various ways to ensure that a suitable model is analyzed are included in the project.

A qualitative analysis of a model's long-term behavior provides answers to a wide range of questions, but there is often reason to supplement such an analysis with numerical simulations. Such simulations must be validated by requiring that they coincide with other analysis. Any discrepancies must be possible to explain and often give rise to the need for fairly in-depth analyzes of the algorithms used.

When you build a system of differential equations, you start from the mechanisms you choose to include in a system. But everyone knows that a child can learn to ride a bike without knowing anything about relevant balance equations. If we start from data, can we then build up another type of model with help of statistical models? What qualitative characteristics do models that are built on the basis of adaptation to data have in relation to models that are built on the basis of mechanisms and what limitations do new areas such as machine learning have?

Knowledge of differential equations, stochastic processes and dynamic systems is important for the project.

Reinforcement learning for optimization and operations research

Contact: Karl-Olof Lindahl

The main goal of the project is to develop robust algorithms in reinforcement learning with applications in optimization and control of dynamical systems. Mathematically, the project lies in the intersection between dynamical systems, optimization and mathematical statistics. As a student, you need to have a good foundation in mathematics at the basic and advanced level, as well as good knowledge and skills in programming.

Reinforcement learning is a hot area in machine learning and artificial intelligence. It is used to solve complex optimization problems that form the basis for advanced decision-making in optimal planning and operation of energy systems, resource management, robotics, image recognition, self-driving cars, stock portfolio selection, to name a few examples. It can also be said that the area is about maximizing future accumulated rewards over time for an intelligent system operating in an environment.

The project specifically concerns distribution-based reinforcement learning (DRL). The total reward over time is characterized in these cases by a stochastic variable whose distribution function is then to be estimated. In more classical approaches to reinforcement learning, the focus is on the expected value of this distribution rather than the distribution itself. The project is based on Bellemere, Dabney and Muno's work "A Distributional Perspective on Reinforcement Learning" where it is justified why distribution-based reinforcement learning can lead to better approximate learning.

Development, experiments, and analysis of algorithms in this field include functional analysis (metric spaces, projections, transforms), probability theory and statistics (measure theory, stochastic convergence), optimization and theory of neural networks. Computer experiments, implementation and testing are important elements in the research and involve a lot of programming work.

In the project we develop:

• Specialized algorithms for machine learning and its applications
• Code for implementation
• Theory and analysis methods for robustness

The project will be performed within the research theme " AI and machine learning for optimization and operations research " at LNU.

What does the third-cycle subject area mathematics comprise?

At Linnaeus University, the field and course of study referred to as mathematics covers a wide spectrum of activities and includes both pure and applied mathematics. Mathematics is an abstract and general science for problem solving and methods development. All research within the field of the subject of mathematics includes development, usage, or analysis of methods.

Within pure mathematics, the abstraction level is so high that the way of presenting a problem can be analysed outside of their original context. Crucial causal relationships are isolated and studied separately. Conceptualisation and concept formation, and use of appropriate terminology, becomes central. Since the discipline of mathematics provides the tools we need to analyse, question and develop scientific methods, it plays a key role in all science.

Within applied mathematics, the link to practical problem solving is clear and is characterised by a deep understanding of the subject of mathematics per se, as well as its application. Innovation and new ways of thinking arise in various different ways, and new methods and approaches are applied to classic problems, or known methods are transferred to new areas of application whereby the presentation of the problems which arise are analysed.

The applications are primarily in fields where a high degree of precision is sought and where the far-reaching predictions are possible. Examples represented in our programme include physics, cryptography and signal processing. Mathematical methods have recently also become established in many sciences where the possibilities of predictions and precision remain more limited. At Linnaeus University, such activities are found within the fields of biology, medical research and economics to mention a few. The goal of the introduction of mathematical methods in such activities is to make all science more quantitative.

Graduate studies in mathematics can contain both pure and applied mathematics, in varying proportions. Doctoral students normally choose a specialisation for their studies in conjunction with the commencement of their graduate programme.

Studies can also be made in mathematics directed towards mathematics education .

Courses at third-cycle level

Faculty level.

• 2024-09-02 – 2024-10-04
• Växjö
• Postgraduate level
• Full-time studies

Read more about the third-cycle courses at the Faculty of Technology .

More information

• Read more about entry requirements, content and objectives of the programme in the study plan below
• General information about third-cycle studies at Linnaeus University
• Read about possible projects for for you as a doctoral student below
• The university library's subject guide for mathematics (in Swedish)
• Vacancies at Linnaeus University

Curriculum for third-cycle studies in mathematics

• Mathematics.pdf

PhD Studies in mathematics

Uppsala University has researchers in many mathematical fields and a large international network. As a doctoral student in mathematics at Uppsala, you will come into contact with the most prominent and modern mathematical research in the world.

Application and admission

We announce available phd positions in february.

The Department of Mathematics usually announces vacant PhD positions on the web in February each year, with a deadline at the end of March. The eligibility requirements and the complete application procedure are always specified in the advertisement.

Occasional PhD positions may be available at other times

Occasionally we also announce vacant positions at other times. We therefore encourage interested students to look regularly at the department's website.

Master's thesis is important for your application

An important document that you need to attach is the Master's thesis. If you are still working on your Master's thesis at the time of application you can send the latest draft.

Vacant postions at the Department of Mathematics

Research areas and contact persons

There are two research areas at the Department of Mathematics at Uppsala university. Each research area has a professor in charge with overall responsibility for postgraduate education.

Contact person for mathematics: Volodymyr Mazorchuk

Contact person for applied mathematics and statistics: Erik Ekström

Director of postgraduate studies: Julian Külshammer

The programme

Duration of the programme.

The programme comprises 240 credits, which is equivalent to two years of study and two years of research. Additionally, the programme normally includes also a year of teaching.

Current PhD courses in mathematics

The curriculum

Each admitted student is assigned a supervisor and an assistant supervisor. The curriculum consists of three parts: a general, a topic-oriented and an individual part. The individual curriculum is written by the student and the supervisor at the beginning of the programme, and the other two are regulated by the Faculty of Science and Technology.

Information about postgraduate studies at the Faculty of Science and Technology

All students admitted to the graduate program are employed as graduate students at the department and receive salary.

What is it like to do a PhD in maths

Interview: Joel Dahne, PhD student

After the programme

A PhD in Mathematics opens the way for a research career as well as a professional life outside academia. Since mathematics is useful in a broad range of areas, math graduates work in a variety of sectors, such as life science, medical research, finance, energy, IT and insurance.

Interview: Cecilia has a PhD in probability theory

Upcoming dissertations and previous theses

Here you find upcoming dissertations and previous theses.

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Centre for Mathematical Sciences

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PhD studies

Are you interested in a phd position at the centre for mathematical sciences.

You can read Lund University's general information about PhD studies here:

• PhD studies (Lund University's website)
• PhD studies at LTH, Faculty of Engineering (LTH's website)
• PhD studies at the Faculty of Science (Faculty of Science's website)

A PhD position at the Centre for Mathematical Sciences is usually 5 years, including 20% departmental duties such as teaching.

• Study plans at LTH, Faculty of Engineering (Student website LTH)
• Study plans at the Faculty of Science (Faculty of Science's website)

Carl Olsson

Director of PhD studies, Centre for Mathematical Sciences, Faculty of Engineering [email protected] +46 46 222 85 65

Magnus Goffeng

Ass. director of PhD studies, Centre for Mathematical Sciences, Faculty of Engineering [email protected] +46 46 222 83 30

Sandra Pott

Director of PhD Studies, Centre for Mathematical Sciences, Faculty of Science [email protected] +46462228542

Stanislav Volkov

Director of PhD studies, Centre for Mathematical Sciences, Mathematical Statistics [email protected] +46 46-222 95 38

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. The research is based on mathematical proofs and/or computer-assisted calculations.

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 

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

Mathematical statistics.

Mathematical Statistics is dedicated to probability theory and statistical inference theory. We are skilled in theoretical probability theory and multivariate statistics.

Optimisation

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

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. You are 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 academic 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 optimisation, 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 optimisation, 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 wish 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. Vacancies page

Study syllabus Mathematical Sciences

General study syllabus for Mathematical Sciences (PDF)

Research school in Interdiciplinary Mathematics

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.

PhD in Mathematics?

As PhD student you are constantly challenged

Aban Husain started her PhD studies at LiU in February 2022. After her master's studies, she worked for 18 months as a machine learning engineer at a small AI start-up company.

Mathematics is exciting and creative

Axel Tiger Norkvist started studying mathematics at LiU in 2013. He has now been working on his PhD for four years and plans to defend his doctoral thesis next year.

Doctoral studies at Linköping University

If you want to gain a profound understanding of a particular field, doctoral studies at LiU could be for you.

Current research projects in Mathematics

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.

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.

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.

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.

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.

Mathematics and algorithms for intelligent decision-making

On the journey towards sustainability, our contribution is to develop mathematical models and solution methods for practically relevant but computationally challenging problems in scheduling and resource allocation.

Research collaboration in Mathematics with low income countries and regions

The Department of Mathematics contributes to the development of capacity for higher education and research in low income countries and regions through collaborative projects in Africa and Asia.

Numerical Solutions of Time-Dependent Partial Differential Equations

Well-posedness of the governing partial differential equations lead to effective and accurate numerical methods for the analysis of physical processes in science and engineering.

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.

Contact Doctoral studies in Mathematical Sciences

Elina Rönnberg

Deputy Head of Department, Senior Associate Professor

• Department of Mathematics (MAI)
• Applied Mathematics (TIMA)
• elina.ronnberg@ liu.se
• +4613281645

Magnus Herberthson

• Algebra, Geometry and Discrete Mathematics (ALGD)
• magnus.herberthson@ liu.se
• +4613282372

Pierangelo Dellacqua

Senior Associate Professor

• Department of Science and Technology (ITN)
• Media and Information Technology (MIT)
• pierangelo.dellacqua@ liu.se
• +4611363312

George Baravdish

Senior Associate Professor, Head of Unit

• Physics, Electronics and Mathematics (FEM)
• george.baravdish@ liu.se
• +4611363118

Ellen Larsson

Coordinator

• Administrative Service (VS)
• ellen.larsson@ liu.se
• +4613284016

Maria Mitradjieva

Faculty Programme Director

• Faculty of Science and Engineering (Institute of Technology) (LITH)
• Dean's Office, Faculty of Science and Engineering (TFK)
• maria.mitradjieva@ liu.se
• +4613282319
• Third-cycle subject area
• Doctoral studies

Mathematical Sciences

Doctoral studies at mathematical sciences.

​As a doctoral student at Mathematical Sciences, you can be admitted to graduate school at Chalmers or to a third-cycle subject at the University of Gothenburg.

Doctoral studies at the Department of Mathematical Sciences means that you get to immerse yourself in mathematics or mathematical statistics by reading courses and working on your own research project. After completing your education, you receive a doctorate, and can choose to either continue in academia, or focus on a career in industry and business. You also have the option of taking a licentiate degree halfway through the education.

​As a doctoral student at Mathematical Sciences, you can be admitted to a graduate school at Chalmers or to a third-cycle subject at the University of Gothenburg.

The education is similar at both universities, but there are differences, among other things, in terms of which compulsory courses you need to take. GTS courses (Generic and Transferable Skills) at Chalmers and compulsory courses at the Faculty of Science, University of Gothenburg.

Graduate schools at Chalmers University of Technology

Chalmers has three graduate schools, with a total of five specialisations, for you who want to do a doctorate at Mathematical Sciences.

• Mathematics
• Mathematical statistics
• Applied mathematics and statistics

A PhD student in mathematics or mathematical statistics can also be admitted to the interdisciplinary graduate school in Bioscience .

We train new researchers!

Read more about doctoral studies at Chalmers University of Technology.

Third-cycle subjects at the University of Gothenburg

These are the third-cycle subjects we have at the University of Gothenburg  

• Mathematics, with the possible specialisation applications
• Mathematical statistics, with the possible specialisation applications . 

The University of Gothenburg also has a third-cycle subject in mathematics/natural science specialising in educational sciences .

Doctoral studies at the Faculty of Science

Read more about becoming a PhD student at the Faculty of Science at University of Gothenburg.

Doctoral courses

To find doctoral courses given by Mathematical Sciences, go to the doctoral course catalogue at University of Gothenburg, and search for mathematical sciences. 

Doctoral courses at Mathematical Sciences during 22/23

Doctoral courses at mathematical sciences during 23/24, joint doctoral- and master-level courses at mathematical sciences, licentiate and doctoral theses at mathematical sciences, licentiate theses, doctoral theses, deputy head of department, responsible for doctoral education.

• Full Professor , Applied Mathematics and Statistics, Mathematical Sciences
• [email protected]
• +46 31 772 53 21
• To personal page

Directors of studies

• Associate Professor , Algebra and Geometry, Mathematical Sciences
• [email protected]
• +46 31 772 30 66

• Senior Lecturer , Applied Mathematics and Statistics, Mathematical Sciences
• [email protected]
• +46 31 772 64 14

89 Mathematics PhD positions in Sweden

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PhD position in mathematics or mathematical statistics, with focus on geometric deep learning

The Department of Mathematics and Mathematical Statistics is opening a PhD position in mathematics or mathematical statistics, focusing on geometric deep learning. The position covers four years

17 May 2024 Job Information Organisation/Company Umeå universitet Department Umeå University, Faculty of Science and Technology Research Field Mathematics Researcher Profile First Stage Researcher

PhD position in Mathematics focusing on geometric deep learning

education to enable regions to expand quickly and sustainably. In fact, the future is made here. The Department of Mathematics and Mathematical Statistics is opening a PhD position in mathematics , within

PhD position in Mathematics focusing on complex geometry and optimal transport

education to enable regions to expand quickly and sustainably. In fact, the future is made here. The Department of Mathematics and Mathematical Statistics is opening a PhD position in Mathematics focusing

Researcher working on tautological rings of Zip period maps

Ref. No. SU FV-2510-24 at the Department of Mathematics . Closing date: 15 August 2024. The Department of Mathematics at Stockholm University has 38 faculty staff members, divided into three

PhD student in Optimisation

Your work assignments As a PhD student, you devote most of your time to doctoral studies and research as part of the group Mathematics and Algorithms for intelligent decision-making (https://liu.se

PhD student position in stochastic modelling of infectious diseases (DDLS Research School)

interdisciplinary and combines mathematics and statistics with applications in medicine.  A substantial part of the research will therefore be done in close collaboration with infection control practitioners

PhD student in Communication Systems

teaching or other departmental duties, up to a maximum of 20% of full-time. Your qualifications You have graduated at Master’s level in Electrical Engineering or Applied Mathematics with a minimum of 240

PhD position in Computational Sciences within the national Data-Driven Life Sciences program

15 May 2024 Job Information Organisation/Company Umeå universitet Department Umeå University, Faculty of Science and Technology Research Field Mathematics » Computational mathematics Researcher

Department of Mathematics and Mathematical Statistics Temporary position 100% Umeå Umeå University is one of Sweden’s largest higher education institutions with over 37,000 students and about 4,700

Searches related to Mathematics

• postdoctoral
• computer science
• engineering
• materials science

PhD programmes

When you apply for a phd programme in sweden, you’re actually applying for a job. yeah, you read that right. 👀.

“Do a master’s here – I’d say it’s a very good step to doing a PhD in Sweden. I did my master’s at Malmö University and now I’m doing a PhD at Lund University” – Sanjay, Malmö University. Photo: Oskar Omne

So that means – no tuition fees, no scholarships. But you’ll receive a monthly salary instead. Nice, eh? And that’s why available PhD positions are listed on a university’s job board.

How to apply for a PhD position? You’ll apply directly to the university.

Just so you know, there’s no centralised application process. And things like requirements and application dates? This kind of stuff is decided by each department. But we do know that you’ll need to have a master’s degree – in the same field of study – and a great level of English to apply for a PhD here. You might even need to be fluent in Swedish. But that’ll depend on the subject.

+ - Find a PhD at a Swedish university

• PhD at Blekinge Institute of Technology ↗️
• PhD at Chalmers University of Technology ↗️
• PhD at Dalarna University ↗️
• PhD at Halmstad University ↗️
• PhD at Jönköping University ↗️
• PhD at KTH Royal Institute of Technology ↗️
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• PhD at Karolinska Institutet ↗️
• PhD at Konstfack ↗️
• PhD at Linköping University ↗️
• PhD at Linnaeus University ↗️
• PhD at Luleå University of Technology ↗️
• PhD at Lund University ↗️
• PhD at Malmö University ↗️
• PhD at Marie Cederschiöld University ↗️
• PhD at Mälardalen University ↗️
• PhD at SLU (Swedish University of Agricultural Sciences) ↗️
• PhD at Stockholm School of Economics ↗️
• PhD at Stockholm University ↗️
• PhD at Stockholm University of the Arts ↗️
• PhD at the Swedish Defence University ↗️
• PhD at Södertörn University ↗️
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• PhD at University College Stockholm ↗️
• PhD at University West ↗️
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• PhD at University of Gävle ↗️
• PhD at University of Skövde ↗️
• PhD at Uppsala University ↗️
• PhD at Örebro University ↗️

+ - Find other academic positions in Sweden

• University Positions ↗️
• Academic Positions ↗️
• EURAXESS academic positions in Europe ↗️

+ - Useful info about research

• CORDIS ↗️ – EU Research and Information Service
• EURAXESS information ↗️ – Portal for information and practical assistance for researchers moving to Sweden
• Formas ↗️ – The Swedish Research Council for Environment, Agricultural Sciences and Spatial Planning
• Swedish Council for Health, Working Life and Welfare ↗️
• Swedish Research Council ↗️
• Vinnova — Sweden’s Innovation Agency ↗️ – An organisation that integrates research and development in technology, transport and working life
• Handbook for International Researchers ↗️ – Stockholm University’s handbook for international researchers

• 👩🏽‍🎓 Beyond the master's: a PhD?
• Find a research position at a Swedish university ↗️

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Doctoral studies at KTH

Complete a doctoral degree (PhD) in a dynamic, international research environment with world-class facilities and close collaboration with industry and prominent universities worldwide.

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KTH Royal Institute of Technology

KTH is Sweden's largest and most respected technical university—ranked top 100 in the 2022 QS World University Rankings. By choosing KTH, you gain access to a vibrant student life and a prestigious academic environment.

As one of our 2,000 doctoral students, you will take courses and devote yourself to a research project under the supervision of an experienced researcher. Most students are employed and receive a monthly salary. Begin your journey towards a KTH degree today. 

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To become a doctoral student the first step is to apply for a vacant position.

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• Department of Mathematical Sciences

Mathematical Sciences is a joint department at Chalmers University of Technology and the University of Gothenburg, and it offers high-quality research and education in the fields of mathematics.

The mathematical sciences explore the basic concepts and laws of thought. They are fundamental and indispensable to a large part of modern science and engineering. Progress in other disciplines is often linked to an increased use of mathematics. Mathematics is also a subject in itself, and fundamental research is a necessary condition for its many applications. Some of our information, as calendar and news, is found on Chalmers’ web. See links below.

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We offer an international master’s programme in mathematical sciences and several doctoral student positions every year. Our research areas cover a wide range of mathematical sciences.

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Our research library is also open to students and the general public. Meeting place Mathematics collects activities for schools and teachers, but also for an interested general public.

What happens at the department

Our research areas have about ten seminar series. All calendar posts and news are found at the Chalmers web, see below. Take a virtual tour in our premises (texts in Swedish).

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Doctoral student in Mathematics for AI

May 8, 2023

PhD student position in mathematics for AI at the Department of Mathematics at KTH Royal Institute of Technology.

About the position

The Department of Mathematics at KTH invites applications for a PhD position in mathematics for AI, specifically working on theory for learning algorithms and deep learning. The successful candidate will pursue a PhD project at the intersection of probability theory, mathematical analysis, statistical physics and artificial intelligence, with an emphasis on probability theory. The project is funded by WASP ;  the candidate will be a part of the WASP cluster in AI/Math.

The aim of the project is to build towards a theory for learning algorithms and deep learning using tools from probability theory, statistical physics, partial differential equations and gradient flows. More generally the aim is to investigate the role of stochastic control and stochastic calculus in the analysis of learning algorithms and deep learning. Several directions of the project are possible and will be determined in collaboration with the PhD candidate.

Students with an interest in one or more fields related to the following are encouraged to apply: probability theory, artificial intelligence, machine learning, statistics, partial differential equations, optimisation, Monte Carlo methods, interacting particle systems, statistical physics, stochastic analysis.

More information and application

To the position at KTH Royal Institute of Technology

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The WASP newsletter gathers news, recent activities and upcoming events within the program.

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Europe: 20+ fully-funded PhD positions

Discover a wide range of courses and programs at prestigious universities across Europe in disciplines such as chemistry, biological sciences, biochemistry, biotechnology, engineering, molecular biology, medical sciences, agricultural sciences, soil science, environmental science, water science, physics,  mathematics, geosciences, computer science, industrial engineering, downstream processing, and more. Below is a list of schools offering the positions as well as direct links to the posts in the EURAXESS portal.

Here is a list of leading institutions providing these opportunities:

• Karlsruhe Institute of Technology 
• Medical University of Vienna
• Institute of Haematology and Transfusion Medicine 
• University of Bergen 
• Basque Center for Macromolecular Design and Engineering POLYMAT Fundazioa
• Université de Liège
• Inserm U1297
• Università Della Calabria 
• Austrian Centre of Industrial Biotechnology (ACIB GmbH)
• Lund University 
• University of Salerno
• University of Southern Denmark 
• iBET - Instituto de Biologia Experimental e Tecnológica 
• INSA Rouen Normandie 
• Hasselt University 
• Institute of Agrophysics of Polish Academy of Sciences
• University of Modena and Reggio Emilia 
• University of Iceland Science Institute  

Seize the opportunity to advance your academic and research career. Apply now for doctoral (PhD) positions at these esteemed institutions:

PhD Student in Characterization and Recovery of Bionanoparticles for Vaccine Delivery and Gene Therapy, Karlsruhe Institute of Technology (Germany)

PhD Student in the Huppa Lab at the Medical University of Vienna, Medical University of Vienna (Austria)

PhD Student in Molecular Biology, Oncology and Hematology, Institute of Haematology and Transfusion Medicine (Poland)

PhD Student in Causal Decision Making, University of Bergen (Norway) 

PhD Fellowship in Applied Chemistry and Polymeric Materials, Basque Center for Macromolecular Design and Engineering POLYMAT Fundazioa (Spain)

PhD Student in Characterization of thermo-hydro-mechanical properties of longwall goaf for geothermal energy storage in abandoned coal mines, Université de Liège (Belgium)

PhD Student in urinary cytokines for the early detection and outcome assessment of kidney injury, Inserm U1297 (Spain)

PhD Student in MetacMed - Acoustic and mechanical metamaterials for biomedical and energy harvesting applications, Università Della Calabria (Italy)

PhD Fellow in Wind Modeling, UiT The Arctic University of Norway (Norway) 

PhD Fellow in Geodynamics and Surface Processes, University of Bergen (Norway)

PhD Student in Separation and purification of bionanoparticles by convective material and 3D-printed material, Austrian Centre of Industrial Biotechnology (ACIB GmbH) (Austria)

PhD Student in Synchrotron Methods and Applications in Sweden, Lund University (Sweden)

PhD Student in Industrial Engineering (chemical engineering, mechanical engineering, electronic engineering) - University of Salerno (Italy) 

PhD Student in Model-based prediction of bionanoparticle separation by continuous ultracentrifugation and convective chromatography, Austrian Centre of Industrial Biotechnology (ACIB GmbH) (Austria)

PhD Student in LLM-assisted Multirobot Mission Planning and Control, University of Southern Denmark (Denmark)

PhD Student in Area of Natural Bioactives & Nutraceuticals, iBET - Instituto de Biologia Experimental e Tecnológica (Portugal) 

PhD Student in Electrochemical Gold-Catalysed Processes, INSA Rouen Normandie (France)

PhD Student quantum mechanical modelling of polymers, Hasselt University (Belgium)

PhD Student in legume-based diversification of cereal cropping systems, IRTA (Spain)

PhD Student in Splash phenomenon as a mechanism of transportation of soil bacteria, Institute of Agrophysics of Polish Academy of Sciences (Poland)

PhD Research Fellow in applied and computational mathematics, University of Bergen (Norway)

PhD Student in Palynology, University of Modena and Reggio Emilia (Italy)

PhD Student in AI-modelling of Powerful Microwaves in Fusion Plasmas, University of Southern Denmark (Denmark) 

PhD Student in personalized medicine in chronic kidney disease, Inserm U1297 (France)

PhD Student in method development and simulation of solid / liquid interfaces,

University of Iceland Science Institute (Iceland)

Department of Mathematics

Work with us.

Are you interested in working at the Department of Mathematics? Available positions at the department are announced on Stockholm University's site for available jobs, where you can also apply to them.

Read more about working at Stockholm University and apply to positions

An overview of all available positions at the Department of Mathematics and Stockholm University can be found on the university's central website.

• Available jobs

Postdoctoral Fellow in Geometric Analysis

Postdoctoral Fellow in Algebraic Geometry

Assistant professor in numerical methods (last day to apply is 1 August)

All available jobs at Stockholm University

Available PhD student positions

PhD positions in mathematics, mathematical statistics and computational mathematics are normally announced in April each year.

Read more about PhD studies at the Department of Mathematics

All available PhD student positions at Stockholm University

Fellowships to apply for

The Sverker Lerheden foundation awards stipends each year to young researchers in mathematics to conduct postdoctoral studies at the Department of Mathematics at Stockholm University. The call each year opens in October-November.

Read more about the fellowship

Last updated: May 29, 2024

Source: Department of Mathematics

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