PhD Position Mathematical Analysis of PDEs

The Delft Institute for Applied Mathematics (DIAM) at Delft University of Technology (TU Delft) invites applications for a full-time PhD position in the field of mathematical analysis of partial differential equations (PDEs). The PhD candidate will be supervised by Dr. H. Yoldaş.

The research topics primarily revolves around PDEs stemming from structured population dynamics and kinetic theory. Examples of such equations include growth-fragmentation equations, run and tumble equations that model bacterial movement, and classical kinetic equations in gas theory, including the Boltzmann equation. For more insights into the research, please visit the Research & Publications of Dr. H. Yoldaş's webpage.

As a PhD student in this position, you will investigate the qualitative and quantitative aspects of these PDEs employing a diverse range of mathematical tools from PDE theory, functional analysis and probability theory. The specific research direction will be tailored to your background and interests, potentially encompassing topics such as well-posedness, long-term behavior analysis of PDEs, deriving PDEs from particle systems, and numerical analysis.

The appointment is for a duration of 48 months. The earliest starting date is December 1, 2023.

The salary is determined according to pay scale P (promovendus) of the Collective Labour Agreement of Dutch Universities.

The successful candidate will focus on carrying out mathematical research. A light teaching load comes with the position. The communication will be in English. If desired by the candidate, there is the possiblity to take Dutch language courses offered by the Language Center for Languages and Academic Skills of TU Delft, see.

PhD students are enrolled in two graduate schools (one of the faculty and one of the entire university) offering courses for transferable (social) skills, discipline related skills, and research skills. For more information on the PhD program, please visit the website.

The candidate should:

• Hold a master's degree in mathematics or a closely related discipline,
• Have a profound knowledge on the mathematical analysis of partial differential equations (and preferably probability theory) as well through training offered by respective courses,
• Have eagerness to explore complex mathematical challenges,
• Have excellent proficiency in English both written and spoken,
• Be able to work both independently and collaboratively.

Doing a PhD at TU Delft requires English proficiency at a certain level to ensure that the candidate is able to communicate and interact well, participate in English-taught Doctoral Education courses, and write scientific articles and a final thesis. For more details please check the Graduate Schools Admission Requirements.

Doctoral candidates will be offered a 4-year period of employment in principle, but in the form of 2 employment contracts. An initial 1,5 year contract with an official go/no go progress assessment within 15 months. Followed by an additional contract for the remaining 2,5 years assuming everything goes well and performance requirements are met.

Salary and benefits are in accordance with the Collective Labour Agreement for Dutch Universities, increasing from € 2770 per month in the first year to € 3539 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, TU Delft has the Coming to Delft Service. This service provides information for new international employees to help you prepare the relocation and to settle in the Netherlands. The Coming to Delft Service offers a Dual Career Programme for partners and they organise events to expand your (social) network.

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 as one of our core values and we actively engage to be a university where you feel at home and can flourish. We value different perspectives and qualities. We believe this makes our work more innovative, the TU Delft community more vibrant and the world more just. Together, we imagine, invent and create solutions using technology to have a positive impact on a global scale. That is why we invite you to apply. Your application will receive fair consideration.

Challenge. Change. Impact!

The Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) brings together three scientific disciplines. Combined, they reinforce each other and are the driving force behind the technology we all use in our daily lives. Technology such as the electricity grid, which our faculty is helping to make completely sustainable and future-proof. At the same time, we are developing the chips and sensors of the future, whilst also setting the foundations for the software technologies to run on this new generation of equipment – which of course includes AI. Meanwhile we are pushing the limits of applied mathematics, for example mapping out disease processes using single cell data, and using mathematics to simulate gigantic ash plumes after a volcanic eruption. In other words: there is plenty of room at the faculty for ground-breaking research. We educate innovative engineers and have excellent labs and facilities that underline our strong international position. In total, more than 1000 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.