PhD student positions in mathematics for artificial intelligence

Information about the department and the project
The Department of Mathematical Sciences at Chalmers University of Technology and the University of Gothenburg has about 200 employees and is the largest department of mathematics in Sweden. The department has three scientific divisions, Algebra and Geometry, Analysis and Probability Theory, and Applied Mathematics and Statistics and conducts successful research in pure and applied mathematics and mathematical statistics in a wide range of research areas. We have an international environment with frequent exchanges with other universities around the world. The department provides a friendly, creative, and supportive atmosphere with a steady flow of international guests. There are many committed teachers with extensive and broad experience of all aspects of higher education.

Our department continuously strives to be an attractive employer. Equality and diversity are substantial foundations in all our activities. We work actively to be a parent-friendly organization.

More information about us can be found on our website: More details about our activities within AI are available at AI@MS.

Provided that sufficient funding is obtained, we will recruit six or more doctoral students in mathematics for artificial intelligence for two projects financed by CHAIR and four projects supported by WASP.

The expansion of Artificial Intelligence (AI), in the broad sense, is one of the most exciting developments of the 21st century. This progress opens up many possibilities but also poses grand challenges. The center "Wallenberg AI, Autonomous Systems and Software Program" (WASP) has launched a program to develop the mathematical side of this area, see The aim is to promote the competence of Sweden as a nation within the area of AI. We are already taking part in this program through four research projects that started last year. We will now open four new projects:

1. Generalization Bounds for Deep Neural Networks: Insight and Design, supervisor: Rebecka Jörnsten.

2. Deep Learning for the Optimal Filtering Problem, supervisors: Stig Larsson and Adam Andersson.

3. Mathematics of Shape Learning, supervisor: Klas Modin.

4. Group Equivariant Convolutional Neural Networks, supervisor: Daniel Persson.

We seek four or more PhD students to be nominated for participation in the WASP AI Graduate School.

After our nominations, the final selection of the candidates will be done by WASP. The projects are expected to start on August 15, 2020, but the starting date is flexible.

As a counterpart to WASP, Chalmers has recently launched the Chalmers AI Research Centre (CHAIR) to significantly increase Chalmers’ expertise and excellence in artificial intelligence. We are able to announce two PhD positions for the research projects:

5. Deep Learning and Likelihood-Free Bayesian Inference for Intractable Stochastic Models, supervisor: Umberto Picchini.

6. Stochastic Continuous-Depth Neural Networks, supervisor: Moritz Schauer.

Major responsibilities
You will be enrolled in a graduate program at the Department of Mathematical Sciences and you will be part of the AI@MS research environment. As a student of one of the CHAIR projects you will enjoy specific activities such as CHAIR seminars and summer schools/courses dedicated to CHAIR PhD students. As a student of one of the WASP projects, you will take part in the national WASP-AI graduate school.

As a PhD student in Mathematical Sciences you have opportunities for many inspiring conversations, a lot of autonomous work and some travel. You are expected to develop your own ideas and communicate scientific results orally as well as in written form. In addition, all positions will normally include 20% departmental work, mostly teaching duties.

Position summary
Full-time temporary employment. The position is limited to a maximum of five years.

To qualify as a PhD student, you must have a strong background in mathematics, mathematical statistics, or theoretical physics. You must have obtained a master's degree or a 4-year bachelor's degree, or expect to complete such a degree by September 1, 2020.

Depending on the choice of project, experience in some of the following areas (in alphabetical order) may be meritorious: approximation theory, Bayesian inference, complex geometry, computational methods for partial differential equations, differential geometry, gauge theory, group theory, machine learning, Markov chain Monte Carlo methods, neural networks, nonlinear filtering, optimal transport, programming, sequential Monte Carlo, statistical mechanics, stochastic (partial) differential equations.

You will be considered for all of the projects but it is important that you mention in the application your specific research interests and indicate which of the projects you are most interested in. You should also include all relevant work such as bachelor's or master's thesis and articles (provide an English summary if necessary) that you have authored or co-authored. Evidence of mathematical problem solving skills is significant, besides course grades.

As Chalmers is a highly international environment, proficiency in written and spoken English is necessary.

Chalmers offers Swedish courses.

Chalmers continuously strives to be an attractive employer. Equality and diversity are substantial foundations in all activities at Chalmers.

Our offer to you
Chalmers offers a cultivating and inspiring working environment in the dynamic city of Gothenburg.
Read more about working at Chalmers and our benefits for employees.

Application procedure
The application should be marked with Ref 20200028 and written in English. The application should be sent electronically and be attached as pdf-files, as below:

CV: (Please name the document: CV, Family name, Ref. number)
• CV
• Other, for example previous employments or leadership qualifications and positions of trust.
• Two references that we can contact.

Personal letter: (Please name the document as: Personal letter, Family name, Ref. number)
1-3 pages where you:
• Introduce yourself
• Describe your previous research fields and main research results
• Describe your future goals and future research focus

Other documents:
• Copies of bachelor and/or master’s thesis.
• Attested copies and transcripts of completed education, grades and other certificates, eg. TOEFL test results.

Please use the button at the foot of the page to reach the application form. The files may be compressed (zipped).

Application deadline: 6th March, 2020. The top ranked candidates will be interviewed in the end of March.

For questions, please contact:
Head of unit, Annika Lang,
Head of unit, Håkan Samuelsson Kalm,
For specific questions on the projects, please contact the responsible supervisor.

*** Chalmers declines to consider all offers of further announcement publishing or other types of support for the recruiting process in connection with this position. ***

Chalmers University of Technology conducts research and education in engineering sciences, architecture, technology-related mathematical sciences, natural and nautical sciences, working in close collaboration with industry and society. The strategy for scientific excellence focuses on our eight Areas of Advance; Building Futures, Energy, Information & Communication Technology, Life Science, Materials Science, Nanoscience & Nanotechnology, Production and Transport. The aim is to make an active contribution to a sustainable future using the basic sciences as a foundation and innovation and entrepreneurship as the central driving forces. Chalmers has around 11,000 students and 3,000 employees. New knowledge and improved technology have characterised Chalmers since its foundation in 1829, completely in accordance with the will of William Chalmers and his motto: Avancez!








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