Mathematics PhD Projects, Programs & Scholarships in Aberdeen

Supervisors: Dr R Hepworth, Dr M Grant

In recent years the techniques of algebraic topology have been applied to data analysis with great success, and the resulting subject areas of Applied Algebraic Topology and Topological Data Analysis have seen rapid growth. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Invariant geometry of groups

Supervisors: Dr Jarek Kedra, Prof B Martin

The project is concerned with geometric group theory and, in particular, with biinvariant metrics on groups. Depending on the applicant interests or abilities it can be more topological, geometric or algebraic. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Groups, subgroups and boundedness

Supervisors: Prof B Martin, Dr E Meir

Group theory is the mathematical study of symmetry. Algebraic groups are certain groups of matrices with entries coming from a field such as the real… Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Enhancing the performance, condition, safety and reliability of offshore wind energy infrastructure systems using optimal design, inspections, structural health monitoring and structural control

Supervisors: Dr P Omenzetter, Dr P Dunning

. Wind turbines are exposed to frequent structural damage increasing the cost of wind energy generation. To drive these costs down, this project will develop new automated methods for detection of structural damage to wind turbines by examining vibration responses measured by sensors attached to the structure. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Algebraic Methods in Musical Composition

Supervisors: Dr W Turner, Prof R Levi

Algebraic operations have been used as compositional tools for centuries. For example, the group theoretical operation of translation on the integers can be identified with the musical operation of transposition. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Homotopy representations of p-local groups

Year round applications PhD Research Project Self-Funded PhD Students Only

The theory of p-local groups was introduced and developed by Broto-Levi-Oliver. These are algebraic objects that encode and generalise topological aspects that can be associated to a discrete group from a p-local point of view. Read more

Supervisor: Prof R Levi

Novel constrained control schemes for nonlinear systems

Supervisors: Dr V Vaziri, Dr S S Aphale

The real world is inherently nonlinear. Particularly in mechanical systems, these nonlinearities arise from one or more of the following reasons. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Numerical modelling of cracked engineering materials under dynamic loading

Supervisors: Dr O Menshykov, Prof I Guz

It is common knowledge that all existing structural materials contain various inter- and intra-component cracks and crack-like defects which appear in materials during fabrication or in-service. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Optimal Design of Fibre Reinforced Composite Pipes

Supervisor: Dr M Menshykova

Currently, the application of composite materials in the energy industry lacks proven test methodologies and understanding of technical and fundamental issues relevant specifically to composite materials and structures. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Droplet Impacts with Functional Surfaces

Supervisors: Dr P D Hicks, Dr Y Tanino

Droplet interactions with functional surfaces play a crucial role in many important physical processes, from preventing virus laden droplets passing through face masks to reducing the build-up of ice on the surfaces of flying aircraft. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Novel AVI techniques for ultra-quiet bases

Supervisors: Dr S S Aphale, Dr V Vaziri

Precision manufacturing, high-fidelity measurements and supersensitive equipment – all require an ultra-quite base / floor [1, 2]. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Advancing Fractional-order control for engineering applications

Supervisors: Dr S S Aphale, Dr V Vaziri

Fractional Calculus is an exciting area with the potential to make key inroads into the wider area of system modelling and control. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Optical Fibre Applications for Sensors, Lasers or Communications

Supervisors: Dr K Nakkeeran, Dr P Meissner

System modelling and simulation of Optical Fibre for sensors or lasers or communications. Optical fibres are widely used in many fields. Read more

Year round applications PhD Research Project Self-Funded PhD Students Only

Aberdeen University Department of Physics

Discovering the fundaments about why neural networks are so smart

Intelligence is one of the pillars that allows some animals to live so complex lives. Scientific approaches recently proposed have been capable of simulating networked systems that reproduce similar emergent manifestations of behavior as those observed in the brain. Read more

Supervisor: Dr M S Baptista

Year round applications PhD Research Project Self-Funded PhD Students Only

Aberdeen University Department of Chemistry

Antimatter Chemistry: computational studies of matter-antimatter interactions.

Recently interest in antimatter research has increased as facilities such as CERN have succeeded in trapping antimatter atoms for long periods to study their properties [1]. Read more

Supervisors: Dr M Law, Dr W T A Harrison

Year round applications PhD Research Project Self-Funded PhD Students Only