Doctoral student in Mathematics with a focus on Dynamical Systems

Description of the workplace

We are looking for a Ph.D. student at the Department of Mathematics, within the division of Algebra, Analysis, and Dynamical Systems. You will be part of the Dynamical Systems group, which currently consists of Prof. J. Schmeling, Assoc. Prof. T. Persson, Assoc. Prof. M. Aspenberg, Prof. M. Natiello, Dr. P. Goelke, and PhD student A. Rodriguez-Sponheimer. Dynamical systems is a broad research area, and the group in Lund works in real and complex dynamics, ergodic theory, Diophantine approximation, population dynamics, and more.

Work duties

The main duty of a Ph.D. student is to pursue doctoral studies, which includes participation in research projects and Ph.D.-level courses. The position may also involve teaching and other departmental duties, up to a maximum of 20% of the working time.

The research for this position focuses on problems in dynamical systems, primarily iteration of complex or real analytic functions. The field has attracted researchers from various disciplines, becoming a melting point for analysis, combinatorics, and geometry, which has contributed to its richness and diversity. Initially, you will take advanced mathematics courses before gradually engaging with research problems.

The project has connections to ergodic theory, invariant measures, shrinking-target problems, and to some extent, analytic number theory.

Admission requirements 

A person meets the general admission requirements for third-cycle courses and study programmes if the applicant: 

• has been awarded a second-cycle qualification, or
• has satisfied the requirements for courses comprising at least 240 credits of which at least 60 credits were awarded in the second cycle, or
• has acquired substantially equivalent knowledge in some other way in Sweden or abroad.

A person meets the specific admission requirements for third cycle studies in mathematics if the applicant has: 

• at least 90 credits of relevance to the subject area, of which at least 60 credits from the second cycle and a specialised project of at least 30 second-cycle credits in the field, or
• a second-cycle degree in a relevant subject

Additional requirements:
• Proficiency in English, both spoken and written.

Assessment criteria

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: 

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

Other assessment criteria:
• Strong knowledge of mathematics, particularly in complex analysis, ergodic theory, and dynamical systems.

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

We Offer

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

Terms of employment 

Only those admitted to third cycle studies may be appointed to a doctoral studentship. Third cycle studies at LTH consist of full-time studies for 4 years. A doctoral studentship is a fixed-term employment of a maximum of 5 years (including 20% departmental duties). Doctoral studentships are regulated in the Higher Education Ordinance (1993:100), chapter 5, 1-7 §§.

How to Apply

The application should be written in English and must include:
• A personal statement explaining your interest in the position and how the research project aligns with your academic background and interests.
• A CV.
• Degree certificates or equivalent documents.
• Any other supporting documents (e.g., transcripts, references, letters of recommendation, etc.).

We look forward to receiving your application!