PhD students in mathematics

Lund University, Faculty of Science, Centre for Mathematical Sciences

Lund University was founded in 1666 and is repeatedly ranked among the world’s top 100 universities. The University has 40 000 students and more than 8 000 staff based in Lund, Helsingborg and Malmö. We are united in our efforts to understand, explain and improve our world and the human condition.

The Faculty of Science conducts research and education within Biology, Astronomy, Physics, Geosciences, Chemistry, Mathematics and Environmental Sciences. The Faculty is organized into nine departments, gathered in the northern campus area. The Faculty has approximately 1500 students, 330 PhD students and 700 employees.

Job assignments

The main duties of doctoral students are to devote themselves to their research studies, which includes participating in research projects and third cycle courses. The work duties may also include teaching and other departmental duties (no more than 20%). The PhD program in mathematics can contain pure as well as applied mathematics in various combinations. A list of possible research areas is included below. The final choice of project and thesis advisor will be made jointly by the candidate and the department.

Possible research areas

In this call we have four projects within some of the department's areas of expertise, and we are planning to fill three positions. The areas are listed with no particular priority. Please note in the application which area(s) you are interested in.

Analysis and mathematical physics

Research in analysis and mathematical physics, e.g. within potential theory, random matrices, statistical mechanics of repelling particle systems, and conformal field theories. (Contact: Yacin Ameur)

Compressed sensing

The project is in the field of compressed sensing, in the intersection of applied and pure mathematics, involving components like theory of eigenvalues of random matrices, optimization theory, design of algorithms, and may also include an interdisciplinary collaboration with e.g. synchrotron physics or NMR-chemistry. The direction of research can be adapted to the desires of the student. (Contact: Marcus Carlsson)

Harmonic analysis and uncertainty principles

The project focuses on exploring extensions and analogues of various classical uncertainty principles such as the Heisenberg uncertainty principle, Nazarov’s uncertainty principle and the Balian-Low uncertainty principle. (Contact: Jan-Fredrik Olsen)

Operator theory and complex analysis

Hilbert or Banach spaces of analytic functions in one and several variables and their role as models in other areas of mathematics. Reproducing kernel Hilbert spaces, and their relation to complex analysis. Factorization theorems in such spaces and their applications. (Contact: Alexandru Aleman)


The basic requirements for admission to postgraduate studies are: a degree at advanced (MSc) level, completed courses equivalent to at least 240 credits, of which 60 must be at advanced (MSc) level, or the equivalent knowledge or qualifications obtained in some other way, in Sweden or in another country.

The special requirements for admission to postgraduate studies in mathematics are completed courses in mathematics equivalent to at least 120 credits, of which 50 must be at advanced (MSc) level. The courses at basic and advanced level should include a degree project corresponding to at least 30 credits. Special eligibility may be obtained through equivalent studies; this will be assessed in each case.

Additional requirements: Very good oral and written proficiency in English.

Basis of Assessment

Selection for third-cycle studies is based on the student’s potential to profit from such studies. The assessment of potential is made primarily on the basis of academic results from the first and second cycle. Special attention is paid to the following

  • Knowledge and skills relevant to the thesis project and the subject of study.
  • An assessment of ability to work independently and to formulate and tackle research problems.
  • Written and oral communication skills.
  • Other experience relevant to the third-cycle studies, e.g. professional experience.

Consideration will also be given to good collaborative skills, drive and independence, and how the applicant, through his or her experience and skills, is deemed to have the abilities necessary for successfully completing the third cycle programme.

The employment of doctoral students is regulated in the Swedish Code of Statues 1998: 80. Only those who are or have been admitted to PhD-studies may be appointed to doctoral studentships. When an appointment to a doctoral studentship is made, the ability of the student to benefit from PhD-studies shall primarily be taken into account. In addition to devoting themselves to their studies, those appointed to doctoral studentships may be required to work with educational tasks, research and administration, in accordance with specific regulations in the ordinance.

Type of employment

Limit of tenure, four years according to HF 5 kap 7§.

Application procedure

Applications shall be written in Swedish or English and include a a cover letter stating the reasons why you are interested in the position and in what way the research project corresponds to your interests and educational background. The application must also contain a CV, a copy of your Master’s thesis (or a summary text if the thesis is not yet completed), contact details of at least two references, copies of grade certificates, and any other documents that you wish to refer to.

Lund University welcomes applicants with diverse backgrounds and experiences. We regard gender equality and diversity as a strength and an asset. We kindly decline all sales and marketing contacts.

Please use the link below to apply.

Job location: 
Centre for Mathematical Sciences, Lund University
Sölvegatan 18a
22100 Lund
Contact and application information
Wednesday, June 3, 2020
Contact name: 
Erik Wahlén
Contact email: 
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