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              <text>How can we accurately detect and locate a modification on an RNA molecule using nanopore sequencing data? This is an open problem that requires ideas from both statistics and biology. Supervised by Professors Anastasia Papavasiliou and Jon Forster, I began by simulating the signal data from Oxford Nanopore devices, where a sliding window reads five bases on the mRNA chain at a time. Using R, we constructed a statistical framework which involves working with different distributions such as poisson, inverse gamma and the normal distribution to generate signal values. Then we analysed our signal values, performing hypothesis tests and calculating maximum likelihood scores in order to determine where modifications are likely to be on the mRNA chain. This year, after gaining valuable biological insight at the Laboratory of Immune Diversity in the German Cancer Research Centre in Heidelberg, I have created a greedy search algorithm to maximise our likelihood score and detect RNA modifications from the signal data. To improve the accuracy, we included a posterior likelihood calculation into our score and I also coded a birth-death algorithm. Then, I tested both methods with multiple reads (signal lists) per mRNA type which proved to be more accurate and created interesting results!</text>
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                <text>A series of video essays I created analysing Euripides' Bacchae in the light of performance. These are aimed towards A-level pupils who are studying the play, to give them material which looks at the plays as performances, rather than as texts, as this changes the meaning of their analysis entirely. These are being uploaded to a new website which will host similar resources for many Greek plays, and are also available on youtube.</text>
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              <text>Imagine that when a virus enters our body, our immune system is activated, and some cells start to track and kill the virus. Here is an interesting question: How do the cells know which direction is the correct one, given that the movement of the virus is totally random?  My project will use differential equations, particularly stochastic differential equations, to explain this phenomenon and numerical methods that rely on computers to predict the potential future movement of the cells.</text>
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              <text>Ghana possesses over 1.9 million hectares of irrigable land, yet less than 3% is currently utilized, with agriculture remaining largely rainfed. This research explores the transformative potential of Variable Frequency Drives (VFDs) in modernizing irrigation systems to address inefficiencies in energy use, water distribution, and equipment longevity. By integrating advanced motor control techniques and real-time systems using dSPACE MicroAutoBox III, the study demonstrates how VFDs can significantly reduce power consumption, mechanical stress, and over-irrigation. Mathematical modeling and Hardware-in-the-Loop (HIL) testing validate the system’s performance under dynamic conditions. Results show up to 50% energy savings and 30% water conservation during partial load operations. The research recommends pilot deployments, technician training, and solar-VFD integration to support Ghana’s 2025 electrification goals. VFD technology offers a scalable, sustainable solution for enhancing agricultural productivity and resource efficiency across Ghana’s irrigation landscape.</text>
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              <text>Under the supervision of Dr Gareth Tracey, I have completed an undergraduate research project studying base sizes of permutation groups. I am interested in computational and character-theoretic techniques used to obtain these base sizes. I have computed several base sizes for almost simple sporadic groups and their subgroups, extending results in the literature. I am also interested in applications of combinatorial techniques to general results about base sizes. I have explored an application of Hall’s Marriage Theorem to take steps towards a new proof of an existing result. </text>
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              <text>This project report explores the base sizes of group actions. We begin with some preliminary definitions and results. Next, we investigate a combinatorial approach to proving the bound $|G| \geq 2^{b(G)}$; we give a conjecture for a stronger statement concerning a system of distinct representatives for sets $\left\{ \bigcap\limits_{\alpha \in \Omega}\mathrm{Stab}_G(\alpha) : \emptyset \neq \Omega \subseteq B \right\}$, where $B$ is a minimal base for a permutation group $G$.  Subsequently, we follow a paper of Burness, O'Brien and Wilson in explaining various computational and character-theoretic techniques that can be used to compute base sizes. Finally, we apply these methods to a selection of almost simple sporadic groups and their subgroups.</text>
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