PhD Invariant Theory and Signal Processing/Machine Learning

Do you like Lie groups and geometry? Are you eager to explore applications of these in signal processing and machine learning? Do you enjoy modelling problems using polynomials? If yes, then this vacancy in the Discrete Algebra and Geometry (DAG) group of the Discrete Mathematics (DM) cluster of the Department of Mathematics and Computer Science (M&CS) might be something for you.

Job Description

Information technology relies on the representation of information for efficient and accurate processing. Exploiting symmetries and invariance can lead to gains in memory, speed of execution, and accuracy. Many tools in invariant theory can be applied to continuous, exact objects. Under the supervision of Prof. Mireille Boutin, you will work on extending these tools to the discrete setting where the data is corrupted by noise. The main areas of applications considered at the moment relate to either localization and mapping (e.g., GPS) or metrology (e.g., object detection and classification). You will be encouraged to explore other areas of applications.

We are looking for a talented, enthusiastic PhD candidates meeting the following requirements:

• Master's degree in mathematics.
• Research-oriented attitude.
• Interest in invariant theory and applications.
• Knowledge of algebra and geometry.
• Experience with programming (e.g., Python).
• Ability to work with symbolic computation software packages for computational commutative algebra.
• Fluent in spoken and written English.

The start date is flexible.

A meaningful job in a dynamic and ambitious university, in an interdisciplinary setting and within an international network. You will work on a beautiful, green campus within walking distance of the central train station. In addition, we offer you:

• Full-time employment for five years, with an intermediate evaluation (go/no-go) after nine months. You will spend 25% of your employment on teaching tasks.
• Salary and benefits (such as a pension scheme, paid pregnancy and maternity leave, partially paid parental leave) in accordance with the Collective Labour Agreement for Dutch Universities, scale P (min. €2,901 max. €3,707).
• A year-end bonus of 8.3% and annual vacation pay of 8%.
• High-quality training programs and other support to grow into a self-aware, autonomous scientific researcher. At TU/e we challenge you to take charge of your own learning process.
• An excellent technical infrastructure, on-campus children's day care and sports facilities.
• An allowance for commuting, working from home and internet costs.
• A Staff Immigration Team and a tax compensation scheme (the 30% facility) for international candidates.