PhD Position Analysis of Partial Differential Equations

Job description

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 analysis of partial differential equations (PDEs). The PhD candidate will be supervised by Havva Yoldaş and co-supervised by Raphael Winter (Cardiff University).

The research topics primarily revolve around PDEs stemming from structured population dynamics and kinetic theory. Examples of such equations include kinetic equations such as the Boltzmann and Landau equations.

In this position, the candidate 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 the candidate's background, potentially encompassing topics such as well-posedness, long-term behavior, scaling limits and applications of information-theoretical approaches for PDEs and/or systems of PDEs. Throughout the PhD, the candidate will be supported in learning new techniques and broadening mathematical background. The candidate will have the opportunity to present their work at both national and international conferences and workshops, for which travel budget is available.

The expected duration of the doctoral candidate’s promotion process is 4 years. The starting date is flexible, with September 2026 as a guideline. The position comes with a light teaching load.

PhD candidates 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.

Job requirements

• Hold, or will soon obtain, a master's degree in mathematics or a closely related discipline.
• Have profound knowledge of the mathematical analysis of partial differential equations, and preferably probability theory.
• 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.

TU Delft (Delft University of Technology)

Delft University of Technology is a top international university combining science, engineering and design.

Faculty of Electrical Engineering, Mathematics and Computer Science

The Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) brings together three scientific disciplines. Combined, they reinforce each other and provide an environment with room for ground-breaking research, excellent labs and facilities, and a strong international position.

Conditions of employment

Doctoral candidates will be offered a 4-year period of employment in principle, 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.

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.

TU Delft offers a customisable compensation package, discounts on health insurance, and a monthly work costs contribution. Flexible work schedules can be arranged.

Will you need to relocate to the Netherlands for this job? TU Delft offers support to help you prepare your relocation and settle in the Netherlands. A Dual Career Programme is available to support an accompanying partner with their job search in the Netherlands.