Below please find lists of PhD projects **funded previously**, i.e., the application deadline has passed, and most of the projects have been assigned.

Please find below an indicative list of PhD research projects, which were offered for the **2016-2017** academic year. Please note that the internal deadline for funded positions was the 31st of January 2016, and we are likely to have a similar deadline when projects are announced for the 2017-18 Academic Year. We still welcome applications to the below projects from self-funded students.

Applications to research projects close to the expertise areas of academic staff of the School of Mathematical Sciences (but not included on this list) are welcome.

*•Algebra*

Decomposition numbers for symmetric groups, Supervisor Dr. Matthew Fayers;

Applying algebra to computing the clique number of a graph, Supervisor Prof. Leonard Soicher

*•Combinatorics*

The Tutte polynomial of matroids and hypergraphs, Supervisor Prof. Mark Jerrum

*•Complex Systems and Networks*

Network geometry, Supervisor: Dr. G. Bianconi;

Using complex networks methods for time series analysis, Supervisor: Dr. L. Lacasa;

Patent networks and innovation systems, Supervisor: Prof. V. Latora and Dr. Georg Von Graevenitz;

The mathematical modelling of urban systems, Supervisor: Prof. V. Latora and Prof. Michael Batty;

Meta-network tools and models for the identification of key players in relational big data, Supervisor: Dr. Vincenzo Nicosia;

*•Dynamical Systems and Statistical Physics*

Fluctuations in non-Markovian stochastic particle systems, Dr Rosemary Harris;

Ergodic Optimization and Stochastic Dominance, Prof. Oliver Jenkinson;

Testing the Levy Hypothesis of Biological Foraging, Supervisor: Dr Rainer Klages;

Weak chaos and anomalous diffusion, Supervisor: Dr Rainer Klages and Dr Oscar Bandtlow;

Simulation of the HP-model of protein folding, Supervisor Prof Thomas Prellberg;

*•Geometry and Analysis*

Geometry, Topology and Combinatorics of large random simplicial complexes, Supervisor Prof. Michael Farber;

Mathematical tools for design and development of algorithms for video compression, Supervisor Prof. M. Farber;

Operator algebras attached to semigroups, Supervisor Dr Xin Li;

Davenport’s problem with a difference, Supervisor Dr Ivan Tomašić;

*•Probability and Applications *

Random Permutation Structures, Supervisor Prof. A. Gnedin;

Vertices of large degrees in preferential attachment graph models, Supervisor Prof. Malwina Luczak;

Epidemics: emergence, elimination, seasonality, Supervisor Dr Jamie Griffin and Prof Malwina Luczak;

Online convergence assessment for particle filtering algorithms, Supervisor Dr Joaquín Miguez;

Sequential stochastic optimisation problems, Supervisor Prof. A. Gnedin;

Spectral analysis of random non-self-adjoint Schroedinger operators, Supervisor: Prof. I. Goldsheid;

Random walks in random environments, Supervisor: Prof. I. Goldsheid.

**Studentship Allocation Round 2012/13 for entries in 2013/14 (CLOSED)**

The School of Mathematical Sciences at Queen Mary, University of London offers postgraduate research opportunities in a wide range of areas of Pure Mathematics, Applied Mathematics and Statistics. For the 2013-14 entry the School has invited applications for **five fully funded PhD studentships**.

Two of them are in any area of interest of researchers active in the Centre for Discrete Mathematics. For details please see here.

Projects funded by the other three studentships should relate to the general research areas listed below. These research areas are illustrated by associated sample projects provided staff members. Please note that this list of topics should not be seen as exclusive, where applicants have identified other projects and suitable supervisors: Applications for any other project that connects to these research areas, and the expertise of staff members at our School, are welcome! All studentships will be allocated to the students with the strongest academic background and potential in these fields of research.

**Applied Mathematics: **

*Complex Systems and Interdisciplinary Research*. Examples of offered projects are:- Information theory and predictability of dynamical and multilevel complex networks (supervisor Dr. Bianconi)
- Statistical data analysis and stochastic modeling of radar-tracked bumblebee flights in the wild (supervisor Dr. Klages)
*Nonlinear Dynamical Systems*. Examples of offered projects are:- Strip maps and discrete Hamiltonian perturbation theory (supervisor Prof. Vivaldi)
- Non-linear perturbations of cosmological models and black hole spacetimes (supervisor Dr. Valiente Kroon)
*Nonequilibrium Statistical Mechanics*. Examples of offered projects are:- Fluctuations and large deviations in non-equilibrium statistical mechanics (supervisor Dr. Touchette)
- Optimization of random packing densities in the space of object shapes (supervisor Dr. Baule)
- Scaling functions for vesicle absorption models via asymptotic analysis of basic hypergeometric functions (supervisor Dr. Prellberg)

**Pure Mathematics:**

*Graph theory and combinatorics*. An examples of an offered projects is:- Realisations of Graphs as Frameworks (supervisor Prof. Jackson)
*Algebra, combinatorics, geometry, and group theory*. Examples of offered projects are:

**Statistics:**

- Functional data methods for human motion and interaction data (supervisor: Dr. Grossmann)
- Design and Analysis of Experiments (supervisors: various members of the Statistics Group)

The **schedule for applications** is as follows:

- Deadlines for applications is strictly 31 January 2013
- Interviews will take place in February 2013
- Offers to successful candidates will be made starting from the end of February 2013

The School is also pleased to offer **5 tuition fee waivers for Chinese PhD students** for awarding studentships from the China Scholarship Council in the new round 2013. The timeline for these studentships is as follows:

- 31 January 2013: application deadline for CSC applicants
- First week March 2013: formal offers made by QMUL to successful CSC applicants
- Late March 2013: applicants holding offers apply to CSC
- May-July: CSC informs applicants of outcomes; possible second round of selection

**Studentship Allocation Round 2011/12 for entries in 2012/13 (CLOSED)**

Studentships have been awarded in the research areas of

### Applied Mathematics

#### ESPRC funded studentship (special, from individual research grant)

- Random Matrices and Random Landscapes, supervised by Prof Yan Fyodorov (Applied Mathematics)

#### Fully funded Queen Mary studentships

- Extreme events in complex coupled systems, supervised by Dr Rosemary Harris (Applied Mathematics) and Dr Raul Mondragon (Electronic Engineering)
- Formal mathematical models for mid/high-level expressive music gestures, supervised by Dr Oscar Bandtlow (Applied Mathematics) and Professor Elaine Chew (Digital Media)
- Scaling laws of high frequency financial data and multiple agent models, supervised by Dr Adrian Baule (Applied/Financial Mathematics)
- Time-varying networks: mathematical models and applications, supervised by Professor Vito Latora (Complex Systems) and Dr Pietro Panzarasa (Business and Management)

#### EPSRC competition funded projects by Queen Mary

- A lattice ribbon model of supercoiling in DNA, supervised by Dr Thomas Prellberg
- Non-linear perturbations of cosmological models and black hole spacetimes, supervised by Dr Juan Valiente-Kroon

### Pure Mathematics

#### Fully funded Queen Mary studentships

- Higher Lie theory, supervised by Dr Behrang Noohi (Pure Mathematics)
- Network coding "lite", supervised by Professor Peter Keevash (Pure Mathematics) and Dr Soren Riis (Computer Science)
- Non-commutative Iwasawa algebras, supervised by Dr Konstantin Ardakov (Pure Mathematics)

#### EPSRC competition funded projects by Queen Mary

- Realisations of Graphs as Frameworks, supervised by Professor Bill Jackson
- Subcube Intersection Graphs, supervised by Dr Robert Johnson

### Statistics

#### Fully funded Queen Mary studentship

- Optimum design for pharmacokinetic sampling and dose-level allocation in Phase II/III clinical trials, supervised by Dr Barbara Bogacka and co-funded by Novartis

#### EPSRC competition funded projects by Queen Mary

- Permanent based approaches to maximum likelihood estimation in generalized linear mixed models, supervised by Dr Heiko Grossmann

- Metamodels in design and analysis of computer experiments, supervised by Dr Hugo Maruri-Aguilar