Lunds universitet, LTH, Matematikcentrum, LTH

Lund University was founded in 1666 and is repeatedly ranked among the world’s top universities. The University has around 45 000 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.

Lund University welcomes applicants with diverse backgrounds and experiences. We regard gender equality and diversity as a strength and an asset.

Description of the workplace

You will belong to a newly established group whose research is concerned with numerical methods connected to machine learning. We are financed by the Wallenberg AI, Autonomous Systems and Software Program (WASP).

In your closest surroundings at the Centre for Mathematical Sciences will be the research group for Numerical Analysis, who successfully do research with a focus on numerical methods for time integration. We are about 15 persons who do both pure theoretical analysis at a high level of abstraction as well as more practical software development.

Wallenberg AI, Autonomous Systems and Software Program (WASP) is Sweden’s largest individual research program ever, a major national initiative for strategically motivated basic research, education and faculty recruitment. The program addresses research on artificial intelligence and autonomous systems acting in collaboration with humans, adapting to their environment through sensors, information and knowledge, and forming intelligent systems-of-systems.

The vision of WASP is excellent research and competence in artificial intelligence, autonomous systems and software for the benefit of Swedish industry. Read more: 


We offer
Lund University is a public authority which means that employees get particular benefits, generous annual leave and an advantageous occupational pension scheme.
Read more on the University website about being a Lund University employee Work at Lund University.


Subject description

In this project, we will study and develop methods for so called neural differential equations, i.e. differential equations with many parameters. If these are to be used effectively, they require accurate, stable and fast methods for both forward- and backward-integration of the underlying differential equation, corresponding to evaluation and training of the network. You will help us develop new time stepping methods that are tailored for typical applications for both of these purposes, implement them, and analyze their convergence properties with a focus on how the trainable parameters affect these.


Work duties

The main duties involved in a post-doctoral position is to conduct research. Teaching may also be included, but up to no more than 20% of working hours. The position includes the opportunity for three weeks of training in higher education teaching and learning. The purpose of the position is to develop the independence as a researcher and to create the opportunity of further development.

Detailed description of the work duties:

  • Research within the proposed project.
  • Teaching in the first, second and third cycles of studies.
  • Supervision of degree projects and doctoral students.
  • Administration related to the work duties listed above.


Qualification requirements
Appointment to a post-doctoral position requires that the applicant has a PhD, or an international degree deemed equivalent to a PhD, within the subject of the position. The certificate proving the qualification requirement is met, must be received before the employment decision is made. Priority will be given to candidates who have graduated no more than three years ago before the last day for application. Under special circumstances, the doctoral degree can have been completed earlier.


Additional requirements:

  • Very good oral and written proficiency in English.
  • A strong theoretical background in numerical methods for time integration, or in optimization for machine learning.
  • The applicant shall have publications in subject relevant journals or conferences.
  • Programming experience.

Assessment criteria

This is a career development position primarily focused on research. The position is intended as an initial step in a career, and the assessment of the applicants will primarily be based on their research qualifications and potential as researchers. Particular emphasis will be placed on research skills within the subject.

For appointments to a post-doctoral position, the following shall form the assessment criteria:

  • A good ability to develop and conduct high quality research.
  • Teaching skills.

Other qualifications:

  • Experience of convergence analysis in abstract frameworks, for example by semigroup theory or variational arguments.
  • Experience with analysis of neural differential equations.
  • Documented independence and leadership within research projects.


Consideration will also be given to how the applicant’s experience and skills complement and strengthen ongoing research within the department, and how they stand to contribute to its future development.

Further information

This is a full-time, fixed-term employment of two years. The period of employment is determined in accordance with the agreement “Avtal om tidsbegränsad anställning som postdoktor” (“Agreement on fixed-term employment as a post-doctoral fellow”). Start date 2022-10-01 or by agreement.


How to apply

Applications shall be written in English. Please draw up the application in accordance with LTH’s Academic qualifications portfolio – see link below. Upload the application as PDF-files in the recruitment system. Read more:


Welcome with your application!

Type of employment Temporary position
Contract type Full time
Number of positions 1
Full-time equivalent 100
City Lund
County Skåne län
Country Sweden
Reference number PA2022/1439
  • Tony Stillfjord, 0462224451
Published 25.Apr.2022
Last application date 06.Jun.2022 11:59 PM CEST

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