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PhD candidate in Numerical Mathematics, Mathematical sciences – NTNU, Norway – Jan 2022

Norway, Norwegian University of Science and Technology, NTNU

The Department of Mathematical Sciences at NTNU is Norway’s largest university environment in mathematical sciences with 85 permanent staff members and about 100 doctoral students and postdoctoral fellows.

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General Info

Position: PhD candidate
No. of Positions: 1
Research Field: ,
Joining Date: ASAP
Contract Period: 3 Years
Salary: 491 200 NOK/Year

Workplace:
Department of Mathematical Sciences
NTNU: Norwegian University of Science and Technology
Norwegian University of Science and Technology, NTNU
Trondheim, Norway

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Qualification Details

The PhD-position's main objective is to qualify for work in research positions. The qualification requirement is that you have completed a master’s degree or second degree (equivalent to 120 credits obtained at master`s level) with a strong academic background in numerical mathematics, numerical analysis, optimisation or equivalent education with a grade of B or better in terms of 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 may be assessed if you can document that you are particularly suitable for a PhD education.  Applicants who do not master a Scandinavian language must document a thorough knowledge of English (equivalent to a TOEFL score of 600 or more).

You must meet the requirements for admission to the faculty's doctoral program.

MSc students who expect to complete their master’s degree studies by summer 2021 are also encouraged to apply. Employment will then be postponed until the master’s degree is finished.

The appointment is to be made in accordance with the regulations in force concerning State Employees and Civil Servants and Regulations concerning the degrees of Philosophiae Doctor (PhD) and Philosodophiae Doctor (PhD) in artistic research national guidelines for appointment as PhD, post doctor and research assistant  

Preferred selection criteria

  • Theoretical Knowledge in Differential Geometry, Convex Analysis and Data Processing, for example Image Processing
  • Experience in programming numerical methods is highly desirable, in particular knowledge and experience with programming languages, preferably Julia or Python.
  • Experience with Open Source packages and their development is a plus but not required
  • Good language skills: Written and oral in English and if possible Norwegian skills.

Personal characteristics

We are looking for someone who

  • is highly motivated for pursuing a PhD degree
  • has good communication skills
  • is dedicated to work both in an interdisciplinary team and independently
  • has the willingness to learn and to face interesting challenges

Responsibilities/Job Description

The PhD project offers multiple research directions where one can develop and apply novel state-of-art computational methods, including

  • Generalising algorithms, to Riemannian manifolds and investigating their properties like convergence or a convergence rate,
  • Investigate properties of models, like total generalised variation (TGV) regularisation, for manifold-valued data,
  • Numerical investigation of the developed algorithms, for example to shape optimisation or manifold-valued data processing,
  • Investigating further applications towards automatic differentiation or machine learning for manifold-valued data and optimisation on manifolds.

How to Apply?

Online Application through "Apply Now" Button from this page

Reference Number: 2021/58517
(If any, use it in the necessary place)

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Documents Required

The application must include:

  • CV, certificates and diplomas
  • transcripts and diplomas for bachelor's and master's degrees. If you have not completed the master's degree, you must submit a confirmation that the master's thesis has been submitted or started. For the  case, that you just started your thesis, please provide a current transcript of your coursework.
  • Academic works - published or unpublished - that you would like to be considered in the assessment (up to 5 works)
  • Name and address of two to three 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. Description of the documentation required can be found here. If you already have a statement from NOKUT, please attach this as well.

Joint works will be considered. If it is difficult to identify your contribution to joint works, you must attach a brief description of your participation.

In the evaluation of which candidate is best qualified, emphasis will be placed on education, experience and personal and interpersonal qualities. Motivation, ambitions, and potential will also count in the assessment of the candidates.

NTNU is committed to following evaluation criteria for research quality according to The San Francisco Declaration on Research Assessment - DORA.

About the Project/Department

We have a vacancy for a PhD fellowship in Numerical Analysis and Optimization at the Department of Mathematical Sciences at NTNU.

The goal is a completed doctoral education up to an obtained doctoral degree. The successful candidate will be offered a three-year position. The Department may offer a twelve-month extension with teaching duties. The workplace will be Trondheim.

With the emerging possibilities of measuring and processing data, many modern data appear in non-linear spaces like a Riemannian manifold. Still, the same data processing tasks, for example denoising, feature extraction, approximation or interpolation, appear. These can often be phrased as optimization tasks on the range of the data. They often turn out to be high-dimensional, non-smooth functions, that may at least locally be convex. These properties often allow for efficient optimization algorithms. In the Euclidean case and globally convex functions for example a primal-dual splitting like the Chambolle-Pock algorithm, a Douglas-Rachford splitting or ADMM. On Riemannian manifolds, some of these algorithms are available, for example the Douglas-Rachford splitting or quite recently the Chambolle-Pock algorithm based on a newly introduced Duality concept.

About the Employer: Norwegian University of Science and Technology, NTNU

Note or Other details

The department has a strong focus on a good work environment for both permanent and temporary employees. As part of this effort, we offer both social and scientific activities for our PhD candidates.

PhD candidates are remunerated in code 1017, and are normally remunerated at gross from NOK 491 200 per annum before tax, depending on qualifications and seniority. From the salary, 2% is deducted as a contribution to the Norwegian Public Service Pension Fund.

If you are invited for interview, you must include certified copies of transcripts and reference letters. Please refer to the application number 2021/58517 when applying.

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Contact details

If you have any questions about the position, please contact Assoc. Prof. Ronny Bergmann, email: ronny.bergmann@ntnu.no.

Advertisement Details: PhD candidate in Numerical Methods for Optimization on Riemannian Manifolds

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