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Structure and dynamics of simplicial complexes

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Competition Funded PhD Project (Students Worldwide)
    Competition Funded PhD Project (Students Worldwide)

Project Description

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing either in September 2020 for students seeking funding, or in January 2020 or April 2020 for self-funded students. The deadline for funded applications is the 31st of January 2020. The deadline for China Scholarship Council Scheme applications is 12th January 2020.

This project will be supervised by Prof. Ginestra Bianconi.

Simplicial complexes are generalized network structures that are essential to investigate complex systems such as the brain, nanoscale aggregates and social systems. In fact simplicial complexes which are not only formed by nodes and links but also by triangles, tetrahedra etc. and they allow to go beyond the paradigm of pairwise interactions. Simplicial complexes are formed by geometric building blocks and as such are key to investigate the relation between network geometry, topology and dynamics.

In this project the PhD student will take a comprehensive approach to study simplicial networks models using equilibrium and non-equilibrium statistical mechanics approach. Moreover the student will investigate the rich phenomena that couple the structure, topology and geometry of simplicial complexes to dynamical processes such as synchronization, percolation and spin models.

The application procedure is described on the School website. For further inquiries please contact Prof. Ginestra Bianconi at . This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs. Applicants interested in the full funding will have to participate in a highly competitive selection process.

Funding Notes

This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs.

This project can be undertaken as a self-funded project. Self-funded applications are accepted year-round for a January, April or September start.

We welcome applicants through the China Scholarship Council Scheme (deadline for applications 12th January 2020).

The School of Mathematical Sciences is committed to the equality of opportunities and to advancing women’s careers. As holders of a Bronze Athena SWAN award we offer family friendly benefits and support part-time study.

References

1.Wu, Z., Menichetti, G., Rahmede, C. and Bianconi, G., 2015. Emergent complex network geometry. Scientific reports, 5, p.10073.

2.Bianconi, Ginestra, and Christoph Rahmede. "Emergent hyperbolic network geometry." Scientific reports 7 (2017): 41974.

3. Courtney, O.T. and Bianconi, G., 2016. Generalized network structures: The configuration model and the canonical ensemble of simplicial complexes. Physical Review E, 93(6), p.062311.

4. Millán, A.P., Torres, J.J. and Bianconi, G., 2018. Complex network geometry and frustrated synchronization. Scientific reports, 8(1), p.9910.

5. Bianconi, G. and Ziff, R.M., 2018. Topological percolation on hyperbolic simplicial complexes. Physical Review E, 98(5), p.052308.

Related Subjects

How good is research at Queen Mary University of London in Mathematical Sciences?

FTE Category A staff submitted: 34.80

Research output data provided by the Research Excellence Framework (REF)

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