PhD position in Mathematics - Befattningen är under tillsättning eller redan tillsatt, och det är inte längre möjligt att lämna in en ansökan

The Department of Mathematics and Mathematical Statistics at Umeå University is opening a PhD position in mathematics or computational mathematics with focus on mathematics of artificial intelligence. The general aim is to provide its holder with a possibility to earn a PhD degree. The position is for 48 months of research. As a PhD student you will perform research and take courses on graduate level. Apply latest 17 May 2018.

Project description
Artificial intelligence and deep neural networks have had tremendous success on several previously unsolved data analysis problems. The mathematical understanding of how and why deep neural networks work is however very limited. This project focuses on the development of mathematical methods and tools for investigation and future development of deep neural networks. We will in particular investigate a specific type of deep neural network which is among the most successful and can be related to evolution equations. The research project involves mathematical and algorithmic development as well as practical application and testing using state of the art software. The project is part of the WASP / AI / Math graduate school, see http://wasp-sweden.org/ai-math/ai-math-graduate-school/ for more information.

Admission requirements
Prerequisites includes 240 ECTS credits (swe. högskolepoäng) of higher education studies of which 60 ECTS credits should be on an advanced level (master level). In addition to these general requirements, the applicant is required to have completed at least 90 credits in computational science and engineering courses, of which at least 30 credits shall have been acquired at second-cycle level. Computational science and engineering courses refers to courses with major quantitative, statistical or computing science elements, such as courses in computing science, mathematics and mathematical statistics, and relevant courses in biology, ecology, physics and chemistry. Applicants who in some other system either within Sweden or abroad have acquired largely equivalent skills are also eligible.

Qualifications
Candidates need to be skilled in both oral and written communication in English, and should be able to work independently as well as in collaboration with others. Applicants with a degree not from a Swedish university are encouraged to provide results obtained from GMAT (and/or GRE) and TOEFL tests if available. The candidates also need to have a genuine interest, but not necessarily documented knowledge, in working with computers and programming, e.g. in Matlab, C++, or Python. A good background in mathematics, numerical analysis, optimization, partial differential equations, finite element methods, and/or programming is qualifying.

Starting date: Autumn of 2018 or according to agreement.

Application

Apply via our recruitment system Varbi lastest 17 May 2018. Log in and apply using the button at the bottom of the page. The application should include

• a personal letter with a brief description of qualifications, research interests, and motivations and with your contact information
• a curriculum vitae
• authenticated copies of degree certificates and copies of relevant work such as master’s thesis or articles that you have authored or co-authored
• contact information for at least one reference person

Since we strive for a more equal gender distribution within our department, we especially encourage female applicants.

Further information
Further information is provided by Professor Mats G. Larson, +46-(0)70-268-0923, mats.larson@umu.se or Head of Department Robert Johansson, +46-(0)90-786-9365, robert.johasson@umu.se.

Research at the Department of Mathematics and Mathematical Statistics is conducted within mathematics, mathematical statistics and computational science. Important cooperation partners include international research groups, biology and forestry departments, the Umeå School of Business, and industry.