4 10 110 https://linen-dog.lnx.warwick.ac.uk/files/original/3dbe79d30451d1da3f00f15488969005.pdf e3c881cc84d8b01fa6f9a781047ce9f2 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 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. Meta Tags Meta tags Mathematics, algebra, group theory, base sizes 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/. Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2025 Title A name given to the resource Base Sizes of Permutation Groups Creator An entity primarily responsible for making the resource Eleanor Milburn https://linen-dog.lnx.warwick.ac.uk/files/original/07015b661c766d7ad02edd34b8653256.pdf 11d049d02db7b0d35516a00adabdb123 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 Poster An academic poster Abstract The abstract of the paper 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. Meta Tags Meta tags Mathematics, algebra, group theory, base sizes 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 Eleanor Milburn Subject The topic of the resource Mathematics Title A name given to the resource Base Sizes of Permutation Groups Date A point or period of time associated with an event in the lifecycle of the resource 2025 https://linen-dog.lnx.warwick.ac.uk/files/original/2e3bf90ef38fcf8042b860586b795da7.pdf f807b7d8cc88b684ee494dfaf4f6cb86 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 Poster An academic poster Abstract The abstract of the paper 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. Meta Tags Meta tags PDEs, numerical methods, stochastic differential equations, finite element method 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 Yiyang Hu Contributor An entity responsible for making contributions to the resource Dr Björn Stinner Subject The topic of the resource Mathematics Title A name given to the resource Differential Equations in Cell Motility: Applications of Numerical Methods in the Real World Date A point or period of time associated with an event in the lifecycle of the resource 2025 https://linen-dog.lnx.warwick.ac.uk/files/original/be0a4fb302b1cb1f995a3dd0604f85f4.pdf 2351ee286111814471054c565b8281a4 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 Poster An academic poster Abstract The abstract of the paper 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! Meta Tags Meta tags #Statistics, #Biology, #Mathematics, #Optimisation, #Algorithms, #RNA, #Interdisciplinary, #Coding, #Data 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 Jessie (Jie) Zhao Contributor An entity responsible for making contributions to the resource Professor Anastasia Papavasiliou and Professor Jon Forster Title A name given to the resource Optimisation of a Statistical Framework for Locating RNA modifications from Nanopore Sequencing Data Subject The topic of the resource Statistics & Mathematics https://linen-dog.lnx.warwick.ac.uk/files/original/8efd7760dca3ac32979d4c5d8b516fd2.pdf d27b40623c8591d8cd0b3d436fd42a54 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 paper should give a brief introduction to the theory of flag algebra and allows students to apply it themselves on similar open problems Meta Tags Meta tags Extremal Combinatorics, Flag Algebra 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/. Date A point or period of time associated with an event in the lifecycle of the resource 2025 Contributor An entity responsible for making contributions to the resource Xiheng Yao Title A name given to the resource Flag Algebra Subject The topic of the resource Mathematics https://linen-dog.lnx.warwick.ac.uk/files/original/da819fa134dd2ddc4857c358195eb216.pdf 80719b731b6ebce83492360cdac5f906 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/. Subject The topic of the resource Mathematics Title A name given to the resource Transport Equations With Rough Coefficients Creator An entity primarily responsible for making the resource Mike (Fanchao) Meng Date A point or period of time associated with an event in the lifecycle of the resource 2025 https://linen-dog.lnx.warwick.ac.uk/files/original/a82f3aac9cbf7c3744ebc118b13095f3.pdf 0a6b13023266a36b85564b65fc4cf1a7 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 Stochastic differential equations (SDEs) and multiscale models are key tools in modern mathematical modelling. They enable us to accu- rately and efficiently analyse real world systems that exhibit randomness and behaviour across different scales of space and time. This review paper ex- plores the foundational physical principles behind them: Brownian motion, which serves as a cornerstone of stochastic analysis, and fluid mechanics, a prominent example of a multiscale system. 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/. Subject The topic of the resource Brownian Motion Date A point or period of time associated with an event in the lifecycle of the resource 2025 Contributor An entity responsible for making contributions to the resource Prof. Papavasiliou Title A name given to the resource PHYSICAL PRINCIPLES IN MATHEMATICAL MODELLING Creator An entity primarily responsible for making the resource Taemin Park https://linen-dog.lnx.warwick.ac.uk/files/original/bb99fb6eabb4181af488e749f24c83c4.pdf 86761238fa9675663b076b30e7541211 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 Continuum models for waves in bistable beams and lattices Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2025 Creator An entity primarily responsible for making the resource Stavos Pavlou https://linen-dog.lnx.warwick.ac.uk/files/original/f845d9961a0411472c94c5bbab2c63e5.pdf 5fb245e084e8c0182ef2e33b6ff048f8 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 Enumeration and Generation of Simple Unlabelled Graphs Meta Tags Meta tags Algebra, Graph Theory, Group Theory, Combinatorics, Discrete Mathematics, Graph Isomorphism 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/. Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2025 Contributor An entity responsible for making contributions to the resource Jonathan Glanfield Title A name given to the resource Enumeration and Generation of Simple Unlabelled Graphs https://linen-dog.lnx.warwick.ac.uk/files/original/4c6d7da9b0a0118b013b12e315d83858.pdf 6bfe05f071a6222efa0d290938ddef55 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 Methods in Analytic Number Theory Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Simon Shackleton Date A point or period of time associated with an event in the lifecycle of the resource 2024 analytical arithmetical function prime number theorum Warring numbers