PhD candidate in Structure-preserving Generative Modeling
Trondheim25 dagar kvar
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At NTNU, 9,000 employees and 43,000 students work to create knowledge for a better world.
You will find more information about working at NTNU and the application process here.
Video: https://youtu.be/Xt-yHCN5QS0About the position
This PhD position will be hosted at the Department of Mathematical Sciences (IMF), holding broad competences in both pure and applied mathematics. The position will be part of the research centre the Norwegian Center on AI for Decision (aiD) cooperating with over 60 companies.
The research will integrate techniques of numerical analysis and structure-preserving algorithms to generative modeling in AI. It will build upon the work done at IMF and SINTEF in this field. We will consider techniques like flow matching, and use ideas from optimal transport and neural (stochastic) differential equations, invariant Kalman filtering and geometric numerical integration. The application areas will be chosen among the use cases of the aiD canter. The direction of research will be adapted to the strengths of the recruited candidate.
Are you motivated to take a step towards a doctorate and open exciting career opportunities? As a PhD Candidate with us, you will work to achieve your doctorate, and at the same time gain valuable experience that qualifies you for a further career in higher education and research, in and outside academia.
Your supervisors will be Professor Elena Celledoni (IMF) and Senior Researcher Sølve Eidnes (SINTEF).
Your immediate leader will be the Head of Department.
About the project
This position is funded by NTNU and will be integrated within the Norwegian Center on AI for Decision (aiD), benefiting from broad and divers expertise, and strong industrial connections. The project will have theoretical and algorithmic developments, software developments, and industrial case studies.
Duties of the position
- Complete the doctoral education until obtaining a doctorate.
Carry out research of good quality within the framework described above.
Academic publications and popular science dissemination.
Participate actively in the aiD center, and in the NTNU strategic area Energy.
Participate in international activities such as conferences and/or research stays at foreign educational institutions.
Validate the research on industrial use-cases.
Be prepared for changes to your work duties after employment.
Required selection criteria
- You must have a relevant Master's degree in mathematical sciences or equivalent, in particular computational mathematics, numerical analysis and experience with AI tools. Your course of study must correspond to a five-year Norwegian course, where 120 credits have been obtained at master's level. Master students can apply, but the master's degree must be obtained and documented before starting the position.
You must have a strong academic background from your previous studies and have an average grade from your Master's degree study, or equivalent education, which is equal to B or better compared to NTNU's grading scale. If you do not have letter grades from previous studies, you must have an equally good academic foundation. If you have a weaker grade background, you maybe considered if you can document that you are particularly suitable for a PhD education.
You must meet the requirements for admission to the faculty's Doctoral Programme.
Good oral and written presentation skills in English.
You need strong skills in mathematics, probabilities, optimization and programming.
PLEASE NOTE: For detailed information about what the application must contain, see paragraph “About the application”.
The appointment is to be made in accordance with NTNUs guidelines for recruitment positions and Regulations for the degrees philosophiae doctor (ph.d.) and philosophiae doctor (ph.d.) in artistic development work at the Norwegian University of Science and Technology (NTNU)for general criteria for the position.
Preferred selection criteria
- Experience in one or more of the following research areas is desirable: geometric numerical integration, structure preserving deep learning, stochastic differential equations, generative AI, numerical optimization.
Strong programming skills (Python, Julia, Jax).
Experience with numerical optimization is also desirable.
Personal characteristics
To complete a doctoral degree (PhD), it is important that you are able to:
Be interested in both theoretical understanding and practical application to real world problems.
Work independently, but seeking feedback and reporting regularly.
Work in a structured way, set goals and make plans to achieve them.
Present and discuss your research with other professionals.
Get involved and contribute constructively with feedback.
Work constructively under pressure or in the face of adversity.
Show curiosity and a strong motivation for the subject.
Analyze data, assess different perspectives and draw well-founded conclusions.
Be flexible and open to adjusting the plan for the project as needed.
Enjoy collaborating, working with others.
Emphasis will be placed on personal qualities.
We offer
- An exciting job with an important mission in society
Developing tasks in a strong and international professional environment.
Career guidance and follow-up during the PhD period.
Open and inclusive working environment with committed colleagues.
Working capital that can be used to implement the project.
Favorable terms as a member of the Norwegian Public Service Pension Fund (SPK).
Free Norwegian language training at a basic level (A2).
As a PhD Candidate at NTNU, you will have access to employee benefits.
Diversity
Diversity is a strength, and at NTNU we aim to be an employer that reflects the diversity in society and that makes use of the potential of the population's collective skills. Our vision is Knowledge for a better world and our values are creative, critical, constructive and respectful. We believe that an organization that is equal, diverse and gender-balanced is essential for us to achieve our goals.
We strive to attract employees with different skills, life experiences and perspectives to contribute to even better problem solving of our societal mission in research and education.
If you think this position is relevant and interesting, we encourage you to apply, regardless of gender, functional ability and cultural background, or whether you have been out of work for a period of time.
At NTNU we want to increase the proportion of women in scientific positions. We have a number of measures to promote equality.
Salary and conditions
In the position of PhD Candidate, code 1017, your gross salary will normally be NOK 580 000,- per annum depending on qualifications and seniority. A 2% statutory contribution to the State Pension Fund is deducted from the salary.
The employment period is 3 years, funded by the project. The department might in addition offer up to 12 months extension for career enhancing work, depending on qualifications and motivation.
For employment as a PhD Candidate, it is a prerequisite that you gain admission to the PhD programme in Mathematical Sciences within three months of your employment contract start date, and that you participate in an organized doctoral programme through out the period of employment.
The position is conditional on external funding.
As an employee at NTNU, it is important that you keep yourself up to date with academic and organizational changes and adapt to them.
For the necessary professional and social interaction, it is a prerequisite that you are physically present and available to the institution on a daily basis.
The appointment is carried out in accordance with the principles of the State Employees Act, and Export control (legislation that regulates the export of knowledge, technology and services). Candidates who, after assessment of the application and attachments, are considered to be in conflict with the criteria in the latter act, will not be able to be employed.
About the application
The attachments (including a description of your scientific work) must accompany the application as these documents form the basis of the application assessment. The documents must be in Norwegian/a Scandinavian language or English.
Please note: the application will only be assessed on the basis of the information we have received by the application deadline. Therefore, make sure that your application clearly shows how your skills and experience meet the criteria described above. The application and all attachments must be sent electronically via Jobbnorge.no. If you are invited to an interview, you must bring certified copies of certificates and diplomas upon request.
The application must include:
Transcripts and diplomas for Bachelor's and Master's degrees.
• CV.
Copy of Master's thesis. If you have recently submitted your Master's thesis, you can attach a draft of the thesis. Documentation of a completed Master's degree must be presented before taking up the position.
Project outline containing proposals for an overall description of research questions, theoretical perspectives, methodological design for the project and progress plan (maximum 1500 words/4 pages).
Possibly publications etc. other relevant research work.
Possibly certificates.
Names and contact information of three relevant referees.
If all, or parts, of your education has been taken abroad, we also ask you to attach documentation of the scope and quality of your entire education, both Bachelor's and Master's education, in addition to other higher education. If your institution uses “diploma supplement” (normal for most European institutions), you must attach this. A description of the documentation required can also be found here. If you already have a statement from Norwegian Directorate for Higher Education and Skills (HK-dir), please attach this as well.
Joint work will be considered. If it is difficult to identify your contribution to joint work, you must attach a brief description of your participation.
When assessing the best qualified, we emphasize necessary qualifications such as education, experience and personal suitability. Motivation for the position, ambitions, and potential for research will also count when assessing the candidates.
NTNU recognizes a wide range of academic contributions and has committed itself to The San Francisco Declaration on Research Assessment and CoARA (responsible assessment of research and recognition of a greater breadth of academic contributions in accordance with NTNU's social mission).
General information
A public list of applicants with name, age, job title and municipality of residence is prepared after the application deadline. If you wish to be exempt from entry on the public applicant list, this must be justified. Assessment will be made in accordance with current legislation. You will be notified if the exemption is not granted.
If you think this position looks interesting and in line with your qualifications, you are welcome to apply.
If you have any questions about the position, please contact Elena Celledoni (elena.celledoni@ntnu.no).
If you have any questions about the recruitment process, please contact Lisa Wedershoven (lisa.wedershoven@ntnu.no).
Application deadline: 30.09.2026.
For practical information about working at NTNU, please visit this webpage.
The city of Trondheim is a modern European city with a rich cultural scene. Trondheim is the tech capital of Norway with a population of 200,000. The Norwegian welfare state, including healthcare, schools, kindergartens and overall equality, is probably the best of its kind in the world. Professional subsidized day-care for children is easily available. Furthermore, Trondheim offers great opportunities for education (including international schools) and possibilities to enjoy nature, culture and family life and has low crime rates and clean air quality.