Optimization techniques like linear and semidefinite programming find applications in many practical fields, but more and more also within mathematics, for instance as a tool in proving theorems in combinatorics, geometry, etc.

In this project, you as a PhD student will explore the use of optimization techniques to tackle problems in extremal geometry such as the sphere-packing problem, the kissing number problem, and other related questions, which are of fundamental interest in mathematics.  Applications in combinatorics, like flag algebras, may also be explored.

As the student, you will be supervised by Dr. Fernando M. de Oliveira Filho of the optimization group at TU Delft.  You will have the opportunity to learn a great deal about modern optimization methods, like semidefinite programming.  You will also be able to learn more about the theory of harmonic analysis and how it can be leveraged in the application of optimization methods to geometrical problems.

There is moreover the opportunity to conduct independent research into topics of your interest.  The position also offers generous funds for traveling.

We are looking for excellent candidates with the following qualifications, knowledge, and skills:

• MSc (completed or underway to completion) and BSc degrees in mathematics, computer science, or related fields.  The starting date for this position is flexible, so if you have not yet finished your master's degree, you may still apply!  Send an inquiry to know whether applying makes sense for you.
• A solid background in mathematics and interest in doing mathematical research.  Programming experience is a plus, but you can learn what you need along the way.
• Excellent communication skills, self-motivation, independence, and the ability to work with others.
• Proficiency in English for effective communication, writing, and presentation.

Fixed-term contract: 4 jaar.

TU Delft offers PhD-candidates a 4-year contract, with an official go/no go progress assessment after one year. Salary and benefits are in accordance with the Collective Labour Agreement for Dutch Universities, increasing from € 2395 per month in the first year to € 3061 in the fourth year. As a PhD candidate you will be enrolled in the TU Delft Graduate School. The TU Delft Graduate School provides an inspiring research environment with an excellent team of supervisors, academic staff and a mentor. The Doctoral Education Programme is aimed at developing your transferable, discipline-related and research skills.

The TU Delft offers a customisable compensation package, discounts on health insurance and sport memberships, and a monthly work costs contribution. Flexible work schedules can be arranged. For international applicants we offer the Coming to Delft Service and Partner Career Advice to assist you with your relocation.

Delft University of Technology

Delft University of Technology is built on strong foundations. As creators of the world-famous Dutch waterworks and pioneers in biotech, TU Delft is a top international university combining science, engineering and design. It delivers world class results in education, research and innovation to address challenges in the areas of energy, climate, mobility, health and digital society. For generations, our engineers have proven to be entrepreneurial problem-solvers, both in business and in a social context. At TU Delft we embrace diversity and aim to be as inclusive as possible (see our Code of Conduct). Together, we imagine, invent and create solutions using technology to have a positive impact on a global scale.

Challenge. Change. Impact! 

Faculty Electrical Engineering, Mathematics and Computer Science

The Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) brings together three disciplines - electrical engineering, mathematics and computer science. Combined, they reinforce each other and are the driving force behind the technology we use in our daily lives. Technology such as the electricity grid, which our faculty is helping to make future-proof. We are also working on a world in which humans and computers reinforce each other. We are mapping out disease processes using single cell data, and using mathematics to simulate gigantic ash plumes after a volcanic eruption. There is plenty of room here for ground-breaking research. We educate innovative engineers and have excellent labs and facilities that underline our strong international position. In total, more than 1,100 employees and 4,000 students work and study in this innovative environment.

Click here to go to the website of the Faculty of Electrical Engineering, Mathematics and Computer Science.