PhD student in mathematics Lund University, Faculty of Engineering, LTH, Electrical and Information Technology Sweden

Lund University of Technology, Mathematics Center, Mateamtik LTH

 

Lund University was founded in 1666 and is repeatedly ranked among the world’s top 100 universities. The University has 40 000 students and 7 400 staff based in Lund, Helsingborg and Malmö. We are united in our efforts to understand, explain and improve our world and the human condition.

 

LTH forms the Faculty of Engineering at Lund University, with approximately 9 000 students. The research carried out at LTH is of a high international standard and we are continuously developing our teaching methods and adapting our courses to current needs.

 

Work duties


The doctoral students positions are mainly devoted to postgraduate studies, but include 20% department service, usually teaching. The research area for the current call is smooth ergodic theory with applications to number theory.



Research projects: The theory of dynamical systems is on one hand a field of its own and on the other hand a universal interdisciplinary method in mathematics and sciences. It connects different areas by using methods and results of all fields of mathematics and gives rise to broad applications all over in mathematics and sciences. The main aim is to investigate as general as possible class of systems with only very weak conditions and derive far reaching conclusions.



The team in Lund belongs to the leading researchers in the area of differentiable dynamics and ergodic theory. We have intensive contacts to most of the important centers in this field.



Dynamical system theory helps substantially to understand the applicability or limitations of mathematical models. The project consists of two parts. In the first part we will investigate dynamical assump-tions that imply certain statistical properties. In the second we want to use dynamical methods to study classical and new number theoretic problems. In the number theoretic part we will study systems that model simultaneous Diophantine approximation. In number theory many problems can be resembled as statistical problems of some underlying dynamical systems. We intend to use methods from dynamical systems, measure theory, harmonic analysis, algebra, geometry, probability, combinatorics and number theory.



Admission requirements


Students with basic eligibility for third-cycle studies are those who

  • have completed a second-cycle degree
  • have completed courses of at least 240 credits, of which at least 60 credits are from second-cycle courses, or
  • have acquired largely equivalent knowledge in some other way, in Sweden or abroad.

 

A person meets the specific admission requirements for third cycle studies in mathematics if he 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 second-cycle degree in a relevant subject.
  • In practice this means that the student should have achieved a level of knowledge in mathematics that corresponds to that of Master of Science programs in Engineering Mathematics or Engineering Physics or a Masters degree in mathematics or applied mathematics.

 

Additional requirements:

  • Very good oral and written proficiency in English.
  • The candidate is expected to have programming skills.

 

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.



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:

  • 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



Terms of employment


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



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§§.



Instruction on how to apply


Applications shall be written in English and include 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, degree certificate or equivalent, and other documents you wish to be considered (grade transcripts, contact information for your references, letters of recommendation, etc.). 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.

 


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