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                When light illuminates nano-sized metallic structures, the free electrons in the metal collectively oscillate, creating `plasmons'. By specifically designing the geometry and arrangement of the nano-metallic structures, one can direct and concentrate light at small enough volumes, to create... 
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                degree or a master’s (or international equivalent) in a relevant mathematical sciences or engineering related discipline. Background knowledge in continuum mechanics, theory of partial differential 
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                Quantum field theory (QFT) is the framework that describes most quantum phenomena in the universe. One of the greatest open problems in QFT is to give a systematic way to understand strongly 
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                long non-coding (nc) RNA molecules produced from eukaryotic genomes in addition to protein-coding mRNA. Mutations in non-coding regions of the genome and altered expression of ncRNAs underpins a number 
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                including number theory, dynamical systems, probability theory, equidistribution theory and optimal transport. The aim of the PhD project is to develop a flexible framework based on harmonic analysis to study 
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                the advert may be removed before the deadline. Engineering plastics are embedded in every facet of our lives from the automotive sector to construction and electrical goods due to their superior thermal 
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                depend on the candidate’s skills and interests, but may include genetically engineering microbes to change form and function (if the candidate has a strong biological background), developing theory and 
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                been filled. Electrical treeing is a primary degradation mechanism in polymer insulation leading to the ultimate failure of high-voltage (HV) cables. Despite being a phenomenon first observed and studied 
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                to a net zero economy, electrical power systems are rapidly decarbonizing supply whilst electrifying carbon-intensive demand. There is therefore an acceleration in the connection of low carbon 
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                inherited from steel scrap on slag performance and utilisation in the scrap-based electric arc furnace (EAF) steelmaking. The research will support the steel industry’s transition to net-zero steel