4 10 900 https://urss.warwick.ac.uk/files/original/86048801ad98f384a31839a69474be07.pdf 3b1125d7ff449646761d0d1296f28e2b Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Notes on Manifolds and Measure Theory Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Albert Rehak Date A point or period of time associated with an event in the lifecycle of the resource 2023 Albert Rehak Lebesgue Differentiation Theorem Lie Groups Mathematics Rademacher Theorem https://urss.warwick.ac.uk/files/original/ad082b4e377ace20b62f0e91c9ac6e32.pdf 47b4ae1d5b67bbdc62eb1c5c20ac8e5b Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Abstract The abstract of the paper This poster contains a summary of our research output after participating in the 2025 Undergraduate Research Support Scheme (URSS) at the University of Warwick. Meta Tags Meta tags Mathematics, geometry, stereographic projection, number theory, poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Alessandro Sainaghi Subject The topic of the resource Physics Title A name given to the resource Properties of the Stereographic Projection of Lattice Points Date A point or period of time associated with an event in the lifecycle of the resource 2025 Description An account of the resource Stereographic Projection https://urss.warwick.ac.uk/files/original/865dd480b20482974af3174b2a94a0f9.pdf f354e71da9a650ec81199bf4511ff627 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Optimisation of machine learning methods to better handle ATLAS detector data for Higgs doublet decay Subject The topic of the resource Physics Creator An entity primarily responsible for making the resource Alex Darbyshire Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alex Darbyshire ATLAS Higgs doublet decay machine learning techniques Physics https://urss.warwick.ac.uk/files/original/7ca295c58efbd034e404aeb2b0dce1e3.pdf 73194dfe29c9fd8677e95254e2481aba Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Genetically Engineered Bacteriophage: A Bacterial Meningitis Treatment? Subject The topic of the resource Life Sciences Description An account of the resource In this poster we investigate that engineered phage (K1F-GFP-EGF) for any loss of lytic activity caused by mutation as well as using confocal microscope to investigate the mutant phage’s ability to be to internalised by two human cell lines: hCMEC and Fibroblasts which are targeted by K1 infection Creator An entity primarily responsible for making the resource Alex Hayes Date A point or period of time associated with an event in the lifecycle of the resource 2022 https://urss.warwick.ac.uk/files/original/b221cb3d10e45867c8ab33995d5411d7.pdf 7d0f895ec3a98a35d6f2844e66fd017d Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Paper An academic paper Abstract The abstract of the paper We consider the infinite-horizon Merton investment-consumption problem. We begin by formally introducing the problem in the simplest, one-dimensional setting and show how one might derive a candidate solution. We then detail two different rigorous verification arguments showing this strategy is indeed the optimal one. After this, we move to a slightly more heuristic setting where we will consider two different variations of the problem - namely the case of transaction costs and non-constant parameters - and discuss to what extents the previous arguments extend to these more general situations. The report is written to be a relatively gentle introduction to the field of optimal stochastic control and continuous time finance, and to be accessible to any student with some reasonable prior understanding of stochastic calculus. Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource The Merton Problem and the Methods of Optimal Stochastic Control Subject The topic of the resource Statistics Creator An entity primarily responsible for making the resource Alex Irons Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alex Irons mathematical finance optimal consumption probability theory Statistics stochastic calculus https://urss.warwick.ac.uk/files/original/7564c7619534c16ec5497cab31011f1b.pdf e5146bb5195499e13ab476ab75aa0180 https://urss.warwick.ac.uk/files/original/1e045030d9e9830f2699e844c7b6feb9.pdf 3f012a86825b2c8127842f7124efa9a8 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Abstract The abstract of the paper This project builds upon the work of Henderson and Hobson (2013), which demonstrated the counterintuitive result that risk-averse agents, seeking to maximise expected utility and possessing a timing option over when to sell an indivisible asset, may find it optimal to engage in risk increasing fair gambles. In this project, we extend the one-period binomial model into a two-period model and explore a novel disaster model where a potential financial crisis may occur - while illustrating that the result still holds in these expanded scenarios. Our analysis broadens the applicability of the original insights and provides a robust foundation for understanding optimal decision-making strategies in a wider range of financial contexts. Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Options and Gambling Subject The topic of the resource Statistics Creator An entity primarily responsible for making the resource Alex O Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alex O Decision Theory Dynamic Programming Gambling mathematical finance Statistics Utility Theory https://urss.warwick.ac.uk/files/original/18835a369dfcaf23b510f41b59dea5a1.pdf a7e6bd97b9bed652c04c99636fdfddd6 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Atomistic Modelling of Magnetic Shape-memory Alloys Subject The topic of the resource Physics Creator An entity primarily responsible for making the resource Alexander Barry Date A point or period of time associated with an event in the lifecycle of the resource 2021 Engineering Magnetism Physics https://urss.warwick.ac.uk/files/original/0fd12f48f4e80ebd6dff77173a0250ee.pdf 1dca6da674fe58574b9695a75c40a38c Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Functionalisation of Coordination Cages: An investigation into the Ward group ligand. Subject The topic of the resource Chemistry Creator An entity primarily responsible for making the resource Alexander Collins Date A point or period of time associated with an event in the lifecycle of the resource 2021 Chemistry Coordination cages Host-guest chemistry Ward group ligand https://urss.warwick.ac.uk/files/original/375ae1260dd66264df8fa2dc091b2bb7.pdf 73194dfe29c9fd8677e95254e2481aba Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Characterization of the endoplasmic reticulum morphogenic mutant of Arabidopsis thaliana, GFP-CXN Subject The topic of the resource Life Sciences Description An account of the resource Two lines of Arabidopsis thaliana are studied in Dr Breeze’s lab. One is GFP-HDEL which is a control line of Arabidopsis, whilst the other is GFP-CXN a genetically modified line that overexpresses a domain of chaperone protein called calnexin in its endoplasmic reticulum (ER). This causes GFP-CXN to have a highly interconnected network of flattened, membrane-enclosed sacs in its ER known as cisternae. The cisternae have a crucial role in the modification of proteins. It has been suggested in previous studies that whilst challenging the lines with the plant pathogen Pseudomonas syringae DC3000 the GFP-CXN line has been less susceptible to infection than the control potentially due to the ER’s highly cisternal morphology. However, to support this hypothesis further characterization of GFP-CXN is required.• The aim of my project was to further characterize the GFP-CXN line by investigating chloroplast efficiency/function during infection by measuring Fv/Fm, image ER morphology in a confocal microscope, compare bacterial susceptibility by completing a bacterial growth assay and investigate physiology by measuring and comparing root elongation rate with the control. Creator An entity primarily responsible for making the resource Alexander Gale Date A point or period of time associated with an event in the lifecycle of the resource 2022 Arabidopsis thaliana Endoplasmic GFP-CXN Morphogenic https://urss.warwick.ac.uk/files/original/b7fd23055b687f09a94f2092cd2bb85c.pdf 9c6593a391bc6cc0a2c093b7c956e64f Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Abstract The abstract of the paper This research paper explores “quaternion Gauss sums”, which extend the quadratic Gauss sum to Hurwitz quaternions. The study investigates the properties of Quaternion Gauss sums, including their behaviour under similarity transformations, multiplicativity, and reduced forms for diagonal matrices. Practical applications are considered, such as solution counting in quaternion/matrix equations within prime power quotients. The research also provides a computational method for calculating quaternion Gauss sums, yielding data that informs conjectures about Gauss sum values and relates them to existing notions of matrix Gauss sums. Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Quaternion Gauss Sums Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Alexander Pilakoutas Date A point or period of time associated with an event in the lifecycle of the resource 2023 Alexander Pilakoutas Computational Conjectures Mathematics Number Theory