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Structure and dynamics of simplicial complexes


   School of Mathematical Sciences

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  Dr G Bianconi  Applications accepted all year round  Competition Funded PhD Project (Students Worldwide)

About the Project

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing in September 2021.

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 [Email Address Removed]. 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

For September 2021 entry: Funding may be available through QMUL Principal's Postgraduate Research Studentships, School of Mathematical Sciences Studentships, and EPSRC DTP, in competition with all other PhD applications.

Studentships will cover tuition fees, and a stipend at standard rates for 3-3.5 years.

We welcome applications for self-funded applicants year-round, for a January, April or September start.

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.

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