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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>The project makes an argument that the conflict between Dumitrescu’s and Van Der Akker’s interpretations of metamodernism is only apparent. Instead, I will argue that oscillations or affective captures can occur only in an integrated, continuous milieu, grounded in differences. Deleuze's philosophy of immanence would serve as an important conceptual bridge in reconciling the two frameworks. Hence, metastable positions and narratives would be understood through a process of myth-making. This myth, rather than being fictional, refers to the expression of virtual or minoritarian intensities at the edge of a stratum. They are organised into ‘counter assemblages’ through a process which I called ‘ontostition’, in which the counter assemblages create an immanent positive feedback loop. In this loop, the greater the organisation of an assemblage, the greater the ability to affect and deterritorialise the dominant stratum, releasing the dominant latent tensions and providing the condition for reconstructions. Provide metamodernism with the conceptual framework to understand oscillations in an immanent way, increasing its applications and consistency.</text>
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