Umeå University is one of Sweden’s largest higher education institutions with over 37,000 students and about 4,700 employees. The University offers a diversity of high-quality education and world-leading research in several fields. Notably, the groundbreaking discovery of the CRISPR-Cas9 gene-editing tool, which was awarded the Nobel Prize in Chemistry, was made here. At Umeå University, everything is close. Our cohesive campuses make it easy to meet, work together and exchange knowledge, which promotes a dynamic and open culture.
The ongoing societal transformation and large green investments in northern Sweden create enormous opportunities and complex challenges. For Umeå University, conducting research about – and in the middle of – a society in transition is key. We also take pride in delivering education to enable regions to expand quickly and sustainably. In fact, the future is made here.
The Department of Computing Science is seeking a staff scientist to participate in research projects on non-additive measures and time scales. The position is full-time for 12 months, starting by agreement.
The Department of Computing Science is characterized by world-leading research in a variety of scientific areas and is highly ranked in international comparisons. The department has grown rapidly in recent years, focusing on creating an inclusive research environment. Our employees represent a diversity of nationalities, backgrounds, and research areas. Read more at:
The position is full-time (100%) for 12 months and is funded by the Wallenberg AI, Autonomous Systems and Software Program (WASP).
Project description and working tasks
Non-additive measures are defined functions where the additivity condition is replaced by monotonicity with respect to set inclusion. An example of this type of measure is outer measures. These measures are also called capacities, fuzzy measures, and monotone games, and are used to represent interactions between elements. They have applications in mathematical economics, social choice, and computer science.
The research group Nausica (led by Prof. Vicenç Torra) has extensive experience in the field and works with non-additive measures for both discrete and continuous domains. Our current research includes theoretical results on non-additive measures and integrals, numerical integration with non-additive measures, Radon-Nikodym-like derivatives, optimal transport problems, and distances for these measures (f-divergence-like and Wasserstein-like), probability distributions based on these measures. We have developed applications for decision modeling and data privacy as well as methods for measure identification. We are also interested in differential equations involving non-additive measures and time scale calculus. The group collaborates with several national and international research groups in these subjects (Japan, USA), and has active contacts with the private and public sectors. For more information, see:
The position is funded by The Wallenberg AI, Autonomous Systems and Software Program (WASP), which is Sweden’s largest individual research program. The program creates a platform for academic research and education in close collaboration with leading Swedish technology-intensive industry. WASP’s research includes artificial intelligence and autonomous systems that operate in collaboration with humans and adapt to their environment using sensors, information, and knowledge, creating intelligent systems of systems. WASP’s vision is excellent research and competence in artificial intelligence, autonomous systems, and software for the benefit of Swedish industry. Read more: https://wasp-sweden.org/
As a staff scientist, you will develop theory for non-additive measures on time scales (solution of integral and differential equations), including their application to distances.
Qualifications
A doctoral degree or a foreign degree deemed equivalent in mathematics, statistics, computer science, or another subject relevant to the project.
Documented knowledge and proven research experience in at least one of the following areas: Non-additive measures and integrals, Time scales
A scientific and results-oriented approach to work.
Excellent knowledge of the English language, both spoken and written.
Application
A complete application should include:
A cover letter (max 2 pages) describing:
Your research interests
Why you are applying for the advertised position
Summary of your qualifications and research interests
Motivation for applying
Connection between your previous research and the advertised position
Curriculum vitae (CV) with a list of publications
Certified copy of doctoral degree
Certified copies of other degree certificates, academic course certificates, and/or grades
Copy of your doctoral thesis and a maximum of 5 relevant articles
Other documents that the applicant wishes to refer to
Contact details for two referees
The application should be written in English or Swedish. Applications are submitted through our electronic recruitment system. Documents submitted electronically should be in Word or PDF format.
The application deadline is March 5, 2025. For further information, please contact Vicenç Torra, vtorra@cs.umu.se
Umeå University wants to offer an equal environment where open dialogue between people with different backgrounds and perspectives lay the foundation for learning, creativity and development. We welcome people with different backgrounds and experiences to apply for the current employment.
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