About Malmö University
Since its inception in 1998, Malmö University has grown into the eighth largest institution of higher education in Sweden, with 25 000 students. Its education and research programmes are distinguished by their multidisciplinary, problem-oriented approach and social relevance. The university offers students a range of educations in five faculties: Culture and Society, Education and Society, Health and Society, Odontology, and Technology and Society.
Faculty of Technology and Society
The Faculty of Technology and Society (TS) offers educations and research in computer science and media technology as well as engineering and natural sciences and applied mathematics. A characteristic of our research and teaching is the engagement of companies and other organizations as active participants. We are located in Malmö city close to Malmö Central Station.
The Department and Materials Science and Applied Mathematics
The Department of Materials Science and Applied Mathematics unites interdisciplinary education and research in mainly three areas: engineering, science and mathematics. We also offer a pre-education, the Scientific/Technical foundation year programme. Furthermore, we have active research groups in materials science, physics and applied mathematics, construction science, mechanical engineering
For more information about the activities at the department, please visit our website http://mah.se/english/faculties/Faculty-of-Technology-and-Society/
Job Description - PhD programme in Applied Mathematics
The research environment in applied mathematics is academically strong, with international publications and collaborations with research centers in e.g. France and USA. There is also a regular visitor’s exchange. Research domains include semiclassical analysis, spectral theory and partial differential equations.
Research is focused on direct and inverse problems in wave propagation of different types, as for example elastic, acoustic and gravitational waves. In direct problems we study the spectral characteristics of the system described by the partial differential equation complemented with boundary and initial conditions. The inverse problems focus on reconstruction of the parameters of the system from the spectral characteristics. When the waves can escape to infinity (open systems) the spectral characteristics are complemented by the resonances (quasinormal or leaky modes). As exact solutions to these problems can only be obtained in few special cases (typically reduced to one dimension), we often search for asymptotic solutions by introducing a "small" or a "big" parameter: semiclassical or high frequency limit.
The mathematical description of the process reunites the methods from complex analysis, microlocal analysis and geometry. The applications range from medicine (MRT tomography, ultrasound tests of cartilage, resonance frequency analysis of implants), seismology (reconstruction of the Earth crust from the measurements of the surface waves) to nanotechnology (electronic properties of graphene), and physics of black holes (discovery and analysis of the gravitational waves).
The PhD position concerns research in mathematical aspects of wave propagation using the methods of partial differential equations. The focus lies on development of the theory and effective reconstruction methods of the parameters of the system from the scattering data, and applications. For applications in medicine the PhD student will participate in departments work with Research Center for Biointerfaces, http://www.mah.se/english/research/Centers/BRCB/.
The PhD project will mainly focus on inverse spectral problems for wave propagation in elastic media with applications in seismology and medicine. However, the exact direction of the project will be dependent on the interests of the candidate.
The PhD student will profit from the traditionally strong research environments in partial differential equations at Lund and Copenhagen Universities.
Employment as a PhD student
An employed PhD student shall primarily devote time to his/her own research training. Regulations regarding employment of PhD students can be found in Higher Education Ordinance 5 Chap. 1-7 §§. The PhD student is expected to actively participate in the research and teaching environment.
The aim of the PhD programme is to develop the knowledge and skills required for the PhD student to independently conduct research and thereby contribute to the development of knowledge within the project. The PhD programme is worth 240 higher education credits (equivalent to four years of full-time studies).
The PhD student will be employed at the Department of Materials Science and applied Mathematics at Malmo University and will be admitted to research studies in Mathematics at the Science Faculty, Lund University.
Eligibility requirements for admission
To be eligible for PhD studies, a student must have:
1) a second-cycle higher education degree.
2) completed course requirements of at least 240 higher education credits, of which at least 60 higher education credits are second-cycle.
3) in some other way, nationally or internationally, acquired equivalent knowledge.
Regulations regarding admission to PhD studies can be found in Higher Education Ordinance 7 Chap. 34-41 §§.
Special admission requirements
Applicants must meet basic and special admission requirements for doctoral studies in applied mathematics according to the relevant study plan, see Section 4 in http://science.prodwebb.lu.se/sites/science.lu.se/files/syllabi_mathematics.pdf
Briefly, the admission requirements stipulate that at the time that the education grant begins, the applicant shall have either a master's degree in mathematics or equivalent qualifications. If in doubt regarding the applicant's qualifications, it is advisable to contact the department for more information. Good knowledge of written and spoken English is a prerequisite.
Information about third-cycle (doctoral) studies in Mathematics at Lund University: http://www.maths.lu.se/english/phd-studies/
Special requirements can also be fulfilled by demonstrating equivalent knowledge that has been acquired in some other way, nationally or internationally. The admission to PhD studies and employment as a PhD student is made in parallel.
Basis of assessment
Initial assessment concerns the general and specific eligibility requirements (above).
Further, according to Higher Education Ordinance 5 Chap. 5 §, importance is placed on the student’s ability to appropriate the advanced learning of the third-cycle PhD programme. The previously written material and the dissertation plan are important indicators of this ability as well as research experience and documented relevant working life experience. Of special relevance are independently written material on advanced level (MSc).
Good knowledge (on the level of second-cycle higher education degree) of the fundamental methods of mathematical physics and functional analysis with focus on partial differential equation and spectral theory is a requirement.
Additional assessment criteria include demonstrated analytical and communication skills, and demonstrated fluency in written and spoken English.
You apply through Malmö University recruitment system by clicking the button “ansök”. Please make sure your application is complete and correct according the application instructions. Deadline for application is not later than October 31th, 2017.
The application should include the following documents:
· A short personal reflection about why you apply for this position and motivations for becoming a PhD student in applied mathematics.
· Complete list of your publications and creative works relevant to the position (including scholarly as well as general-interest publications, advanced level independent thesis and reports).
· Copies of writings that you specifically wish to highlight (maximum 3 writings)
· Certificates and university transcripts, certifying your CV
· References (at least 2; names, titles, contact information positions/relation. Please do not submit letters of reference)
Employment is full-time and time restricted according to Higher Education Ordinance 5 Chap. 7 §.
2018-01-15 or as soon as possible after agreement.
PhD Student Union representative
Niklas Ehrlin, firstname.lastname@example.org