PhD position in Mathematics of Spatial Networks

4 dagen geleden

Utrecht, Nederland Utrecht University Voltijd

Use graphs, probability, and differential equations to develop the mathematical theory of spatial networks and link their global behaviour to local constraints. Join us as PhD candidate. Your job

In recent years, there has been a significant surge of interest in networks, which now play a fundamental role in modern science and society. The network-like structures are widely discussed, from cosmology and communication to economics and ecology. Even at the nanoscale, in materials science, they may offer potential theoretical explanations for material properties. Despite their popularity, the mathematical foundations underlying networks remain incompletely understood. Spatial networks are especially challenging as they derive their graph-theoretical properties from local constraints imposed by the embedding metric space.

The aim of this fully funded PhD position is to develop the mathematical theory of spatial networks, and to explain why these networks exhibit specific emergent properties on a macro scale. Unlike conventional graphs, spatial networks exist within an embedding space, allowing us to consider well-defined scaling limits and to “zoom out,” viewing them as continua. Leveraging on the expertise of the network group in Utrecht, you will establish a framework for these limits and apply them to partial differential equations that arise. As such you will attempt to bridge the local topological constraints of networks with their global behaviour.You will work as a member of the network group at Utrecht University, under the guidance of Dr Ivan Kryven . This position is part of the PRONTO consortium, which aims to advance models in materials science. Two related PhD positions are also being initiated at the University of Amsterdam concurrently, and regular exchange of expertise with your peers from the consortium will provide beneficial growth environment. We anticipate that project’s results will be relevant to other disciplines. Notably, this will give you an opportunity for discussing and communicating your own findings with collaborators, consortium partners and experts in industry.In this PhD position you will:

conduct research in 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 industry; undertake a modest teaching load at the Mathematical Institute at Utrecht giving you the opportunity to gain teaching and student supervision experience. Your qualities

You have a passion for mathematical research and are enthusiastic to make your contribution. With your collaborative attitude and good command of spoken and written English, you are able to contribute to effective cooperation with colleagues and collaboration partners in the research project. You hold a Master’s degree in mathematics or related discipline. If you are close to completing your degree, you are also welcome to apply. We see it is an advantage if you are familiar with graph theory, random graphs, stochastic processes, statistical mechanics or partial differential equations. Familiarity with one the programming languages, for example, Python or Matlab is also seen as an advantage. Willingness and ability to communicate one’s own findings to general audience is appreciated. Our offer

We offer:

a position for four years; a working week of 38 hours and a gross monthly salary between €2,770 and €3,539 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.

  • PhD position in Mathematics of Spatial Networks

    2 weken geleden

    Utrecht, Nederland Universiteit Utrecht Voltijd

    Would you like to develop the mathematical theory of spatial networks and link their global behaviour to local constraints?Use graphs, probability, and differential equations to develop the mathematical theory of spatial networks and link their global behaviour to local constraints. Join us as PhD candidate.Your jobIn recent years, there has been a...

  • Phd Position in Mathematics of Spatial Networks

    2 weken geleden

    Utrecht, Nederland Universiteit Utrecht Voltijd

    **Your job**: In recent years, there has been a significant surge of interest in networks, which now play a fundamental role in modern science and society. The network-like structures are widely discussed, from cosmology and communication to economics and ecology. Even at the nanoscale, in materials science, they may offer potential theoretical explanations...

  • Phd Position in Mathematics of Spatial Networks

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    Utrecht, Utrecht, Nederland Universiteit Utrecht Voltijd

    Your job:In recent years, there has been a significant surge of interest in networks, which now play a fundamental role in modern science and society. The network-like structures are widely discussed, from cosmology and communication to economics and ecology. Even at the nanoscale, in materials science, they may offer potential theoretical explanations for...

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