PhD Position Analysis of Partial Differential Equations

PhD Position Analysis of Partial Differential Equations

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. For more insights into the research, please visit the Research & Publications of H. Yoldaş’s webpage and R. Winter’s webpage.

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 behaviour, 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 a travel budget is available.

Typical duration: 4 years. Starting date is flexible, with September 2026 as a guideline. The position comes with a light teaching load.

• Hold (or will soon obtain) a master’s degree in mathematics or a closely related discipline.
• Have profound knowledge in the mathematical analysis of partial differential equations (and preferably probability theory).
• Be eager to explore complex mathematical challenges.
• Have excellent proficiency in English both written and spoken.
• Be able to work both independently and collaboratively.

Doctoral candidates will be offered a 4‑year period of employment, in principle, consisting of two employment contracts: an initial 1.5‑year contract with a progress assessment within 15 months, followed by an additional contract for the remaining 2.5 years if performance requirements are met.

Salary and benefits are in accordance with the Collective Labour Agreement for Dutch Universities, ranging from €3059 to €3881 gross per month, increasing from year one to year four based on a full‑time contract (38 hours). Additional benefits include 8% holiday allowance and an end‑of‑year bonus of 8.3%.

The PhD candidate will be enrolled in the TU Delft Graduate School, which provides an inspiring research environment, excellent supervision and a comprehensive doctoral education programme aimed at developing transferable, discipline‑related and research skills.