Doctoral student in mathematics - Hiring in process/Finished, not possible to apply

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 research will focus on optimization, operator theory, frequency estimation, convex analysis and a number of applications, for example algorithms for extracting data from Nuclear Magnetic Resconance measurements. The position is partially funded by the VR-grant titled Multivariable estemation of exponential parameters, which is about the design of non-convex functionals used for finding sparse solutions to ill-posed linear systems, as well as optimization problems where a low rank matrix is the sought object. Such techniques are useful in a number of areas, and in this project we will primarily be focused on estimation of exponential parameters, which in turn has connections to multidimensional Hankel operators and questions in matrix and operator theory. A concrete application which is part of this project is information retrieval from NMR-measurements of e.g. brain tissue, with connections to medical research. Nevertheless the key focus of the research is on theoretical questions in the area of mathematical analysis, but a certain amount of implementation and evaluation of numerical algorithms will also be part of the research tasks.

Qualifications
The applicant should have good knowledge within mathematical analysis, good analytical problem solving skills and a good capacity to work independently. The applicant should be motivated and perseverant, and have initiative and good cooperative skills. Good knowledge in spoken and written English is required.

Eligibility
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.

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 in mathematical analysis, especially within areas relevant for the project; functional analysis, optimization theory, matrix analysis (linear algebra), mathematical statistics.
• Experience of implementing and evaluating algorithms in Matlab or Python is a merit, but not a necessity.
• An assessment of ability to work independently and to formulate and tackle research problems.
• Written and oral communication skills.
• Very good oral and written proficiency in English.
• 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

Only those admitted to third cycle studies may be appointed to a doctoral studentship. Third cycle studies at Lund University 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 §§.

Application procedure
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, 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.