The Department of Mathematics seeks a PhD candidate to reinvent mathematical physics with spatial networks.
Many of the standard equations in mathematical physics are based on the fundamental assumption that matter is continuous. In this project, the team will revisit such equations by dropping this continuum assumption. We will consider spatial networks—random graph-like structures that permeate space—as the basis and attempt to describe commonly used notions in physics, such as diffusion and elastic deformation, as limiting processes on these structures.
This requires developing new theories on how the structure of the network affects the macroscopic behaviour of the process of interest, as well as taming the inherent randomness present in spatial networks. In recent years, there has been a significant surge of interest in spatial networks, from cosmology and communication to economics and ecology. Guided by our primary focus on networks in materials science, the developed theories will likely be general enough to be applicable in these disciplines too.
Duration: 4 years
Tasks
In this PhD position, the candidate will:
- research spatial networks;
- publish research findings in scientific journals;
- get the opportunity to attend scientific conferences and workshops abroad;
- communicate the findings with our consortium partners and partners in the industry;
- undertake a modest teaching load at the Mathematical Institute at Utrecht, allowing you to gain teaching and student supervision experience.
Salary
- a gross monthly salary between €2,901 and €3,707 in the case of full-time employment (salary scale P under the Collective Labour Agreement for Dutch Universities (CAO NU));
- 8% holiday pay and 8.3% year-end bonus;
- a pension scheme, partially paid parental leave, and flexible terms of employment based on the CAO NU.
Job Requirements
Interested applicants for a PhD position in Mathematics of Spatial Networks must meet the following criteria:
- A Master’s degree in mathematics or related discipline.
- Have a passion for mathematical research and are enthusiastic to make your contribution.
- A collaborative attitude and good command of spoken and written English can contribute to effective cooperation with colleagues and collaboration partners in the research project.
- Knowledge of partial differential equations, probability theory, or stochastic processes is an advantage
- Familiarity with one of the programming languages, for example, Python or Matlab, is also seen as an advantage.
- Willingness and ability to communicate one’s own findings to the general audience are appreciated.
Application Process
Applications should include:
- motivation letter;
- curriculum vitae;
- academic transcripts;
- an example of academic writing (thesis or paper).
To apply for a PhD position in mathematics of spatial Networks, click here.
Deadline: January 13, 2025.
For more information on the PhD position in Mathematics of Spatial Networks, visit the official site.
