Generated by All in One SEO v5.0.1.1, this is an llms.txt file, used by LLMs to index the site. # Maths Final Year Projects ## Sitemaps - [XML Sitemap](https://sites.maths.cf.ac.uk/mathsugprojects/sitemap.xml): Contains all public & indexable URLs for this website. ## Posts - [Euler Characteristic and the Classification of Surfaces - Supervisor: Dr Ulrich Pennig](https://sites.maths.cf.ac.uk/mathsugprojects/euler-characteristic-and-the-classification-of-surfaces-dr-ulrich-pennig/) - Title of project: Euler Characteristic and the Classification of Surfaces Code: UP2122B Supervisor: Dr Ulrich Pennig Project description: In the first lecture of the Algebraic Topology course we encountered the Euler characteristic of polytopes as a topological invariant. Polytopes are special cases of combinatorially defined topological spaces called simplicial complexes and the definition of the - [Categories and Classifying Spaces - Supervisor: Dr Ulrich Pennig](https://sites.maths.cf.ac.uk/mathsugprojects/categories-and-classifying-spaces-supervisor-dr-ulrich-pennig/) - Code: UP2122A Project Title: Categories and Classifying Spaces Description: A category consists of a class of objects together with a set of maps (called morphisms or arrows) between any pair of objects and an operation of composition of arrows. The composition has to be associative, and each object has to have an identity arrow with - [Blebbing on Oscillating Surfaces - Supervisor: Dr Thomas Woolley](https://sites.maths.cf.ac.uk/mathsugprojects/blebbing-on-oscillating-surfaces-supervisor-dr-t-woolley/) - Title of project: Blebbing on Oscillating Surfaces Code: TW2122B Supervisor: Dr. Thomas E. Woolley Project description: We propose to construct a mechanical model of muscle stem cell motion combining solid mechanics, stochastic theory and numerical simulations. During healing muscle stem cells adopt an amoeboid form of translocation, known as blebbing, in which cells are round - [Faraday waves - Supervisor: Dr Usama Kadri](https://sites.maths.cf.ac.uk/mathsugprojects/faraday-waves-supervisor-dr-u-kadri/) - Title of project: Faraday waves Code: UK2122E Supervisor: Dr Usama Kadri Project description: A surface wave disturbance over a fluid layer that is subject to sinusoidal vertical oscillation at frequency 2ω may excite subharmonic standing field of waves of frequency ω known as Faraday waves. For many applications the driven flow due to the interaction - [Early Detection Mitigation Tsunami by Acoustic-Gravity Waves - Supervisor: Dr Usama Kadri](https://sites.maths.cf.ac.uk/mathsugprojects/early-detection-mitigation-tsunami-by-acoustic-gravity-waves-supervisor-dr-u-kadri/) - Title of project: Early detection & mitigation tsunami by acoustic-gravity waves Code: UK2122D Supervisor: Dr Usama Kadri Project description: Acoustic-gravity waves (AGWs) are compression-type waves propagating with amplitudes governed by the restoring force of gravity. They are generated, by wind-wave interactions, surface wave interactions, and movements of the tectonic lithosphere plates. They travel at the - [Effect of Acoustic Pulsation on Gas-Liquid Flow in Horizontal Pipelines - Supervisor: Dr Usama Kadri](https://sites.maths.cf.ac.uk/mathsugprojects/effect-of-acoustic-pulsation-on-gas-liquid-flow-in-horizontal-pipelines-supervisor-dr-u-kadri/) - Title of project: Effect of acoustic pulsation on gas-liquid flow in horizontal pipelines Code: UK2122C Supervisor: Dr. U Kadri Project description: Long liquid slugs reaching a length of several hundreds of pipe diameter may appear when transporting gas and liquid in horizontal or nearly horizontal pipelines. These long slugs may cause system vibration, separator flooding, - [Radiation of Acoustic-Gravity Waves by an Impacting Object - Supervisor: Dr Usama Kadri](https://sites.maths.cf.ac.uk/mathsugprojects/radiation-of-acoustic-gravity-waves-by-an-impacting-object-supervisor-dr-u-kadri/) - Title of project: Radiation of acoustic-gravity waves by an impacting object Code: UK2122B Supervisor: Dr Usama Kadri Project description: When solid objects, such as an aircraft or meteorite, impact the water surface in the deep ocean they generate propagating compression-type waves known as acoustic-gravity waves (AGWs). AGWs have unique and measurable bottom pressure signatures that - [Random fish schooling – hydrodynamic perspective - Supervisor: Dr Usama Kadri](https://sites.maths.cf.ac.uk/mathsugprojects/random-fish-schooling-hydrodynamic-perspective-supervisor-dr-u-kadri/) - Title of project: Random fish schooling – hydrodynamic perspective Code: UK2122A Supervisor: Dr Usama Kadri Project description: One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular fish schooling. Recently, we found that some - [The Support of Non-Negative Solutions to Systems of Linear Diophantine Equations - Supervisor: Dr Timm Oertel](https://sites.maths.cf.ac.uk/mathsugprojects/the-support-of-non-negative-solutions-to-systems-of-linear-diophantine-equations-supervisor-dr-timm-oertel/) - Code: TO2122A Title: The support of non-negative solutions to systems of linear Diophantine equations Type: 1 year Supervisor: Timm Oertel Prerequisite modules: A strong background in linear algebra and number theory is required and knowledge on integer optimization is advisable. Maximum number of students: 1 - [Derived Categories and Algebraic Geometry - Supervisor: Dr Timothy Logvinenko](https://sites.maths.cf.ac.uk/mathsugprojects/derived-categories-and-algebraic-geometry-dr-t-logvinenko/) - Title of project: Derived Categories and Algebraic Geometry Code: TL2122B Supervisor: Dr Timothy Logvinenko Project description: Algebraic geometry studies geometrical objects by attaching invariants to them. For example any Riemann surface has its genus — the number of holes in it. More sophisticated examples include Betti and Hodge numbers, cohomology groups and ultimately – the - [The Boson Fermion Correspondence - Supervisor: Simon Wood](https://sites.maths.cf.ac.uk/mathsugprojects/the-boson-fermion-correspondence-supervisor-simon-wood/) - Title: The Boson Fermion Correspondence Description: Fundamental particles in quantum physics are partitioned into two types, called bosons and fermions, depending on how they behave under being permuted. The wave function of a collection of identical bosonic particles is invariant under any permutation of these particles, while the wave function of a collection of identical - [Galois Theory and its Applications to Classifying Modular Invariants - Supervisor: Dr Simon Wood](https://sites.maths.cf.ac.uk/mathsugprojects/galois-theory-and-its-applications-to-classifying-modular-invariants-supervisor-dr-simon-wood/) - Code: SW2122A - [Holography and quantum error correction - Supervisor: Dr Pieter Naaijkens](https://sites.maths.cf.ac.uk/mathsugprojects/holography-and-quantum-error-correction-supervisor-dr-pieter-naaijkens/) - Title of project: Holography and quantum error correction Code: PN2122B Supervisor: Dr P. Naaijkens Project description: Error correction is indispensable in modern computers to ensure a fault-tolerant operation. This is true even more so for quantum computers. Not only are quantum systems more susceptible to noise due to their delicate nature, a single qubit (the - [Index for quantum cellular automata - Supervisor: Dr Pieter Naaijkens](https://sites.maths.cf.ac.uk/mathsugprojects/index-for-quantum-cellular-automata-supervisor-dr-pieter-naaijkens/) - Title of project: Index for quantum cellular automata Code: PN2122A Supervisor: Dr P. Naaijkens Project description: Quantum cellular automata (QCA) can be seen as discrete time quantum systems with strict locality properties. They are a quantum analogue of classical cellular automata, such as the ‘game of life’. Such systems are local in the sense that - [Stochastic Differential Equations - Supervisor: Professor Nicholas Dirr](https://sites.maths.cf.ac.uk/mathsugprojects/stochastic-differential-equations-supervisor-professor-nicholas-dirr/) - [Qualitative Theory of Partial Differential Equations - Supervisor: Professor Nicholas Dirr](https://sites.maths.cf.ac.uk/mathsugprojects/qualitative-theory-of-partial-differential-equations-supervisor-professor-nicholas-dirr/) - Title of project: Qualitative Theory of Partial Differential Equations Code: ND2021B Supervisor: Prof. N. Dirr Project description: Certain partial differential equations of the form ∂tu(x,t)=∆u(x,t)+f(x,u(x,t)) can be transformed in an integral equation and solved by a Peano-Iteration in a similar way as it is done for ODEs. The difference is however, that we have to work - [Representation Theory of Finite Groups - Supervisor: Dr. M. Pugh](https://sites.maths.cf.ac.uk/mathsugprojects/representation-theory-of-finite-groups-dr-m-pugh-2/) - Title of project: Representation Theory Of Finite Groups Code: MP2122B Supervisor: Dr. M. Pugh Project description: In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces. In particular, group elements can be represented as matrices so that the group operation can be represented by matrix - [Inverse Problems for Elliptic - Supervisor: Prof Marco Marletta](https://sites.maths.cf.ac.uk/mathsugprojects/inverse-problems-for-elliptic-pdes-supervisor-prof-m-marletta/) - Title of Project: Inverse Problems for Elliptic PDE's Code: MM2122C Supervisor: Prof. Marco Marletta Project Description: Project offered as double module, single module, or both: Double Prerequisite 2nd year modules: None Number of students who can be supervised on this project: 1 - [Inverse Eigenvalue Problems in One Dimension - Supervisor: Prof Marco Marletta](https://sites.maths.cf.ac.uk/mathsugprojects/inverse-eigenvalue-problems-in-one-dimension-prof-m-marletta/) - Title of Project: Inverse Eigenvalue Problems in One Dimension Code: MM2122B Supervisor: Professor Marco Marletta Project description: Number of students who can be supervised on this project: 1 - [Divisor Functions and Sum Systems - Supervisor: Dr Matthew Lettington](https://sites.maths.cf.ac.uk/mathsugprojects/divisor-functions-and-sum-systems-supervisor-dr-matthew-lettington/) - [Spectrum of the Laplace (Schrodinger) Operator on an Interval and its Asymptotics for Small Perturbations - Supervisor: Dr M. Cherdantsev](https://sites.maths.cf.ac.uk/mathsugprojects/spectrum-of-the-laplace-schrodinger-operator-on-an-interval-and-its-asymptotics-for-small-perturbations-supervisor-dr-m-cherdantsev/) - Title of project: Spectrum of the Laplace (Schrodinger) Operator on an Interval and its Asymptotics for Small Perturbations Code: MC2021B Supervisor: Dr M. Cherdantsev Project description: Prerequisite modules: MA3005 Introduction to Functional and Fourier Analysis Recommended Modules: MA2010 Multivariable and Vector Calculus MA3012 Ordinary Differential Equations MA3303 Partial Differential Equations Recommended 4th year modules for - [Embedded Eigenvalues of Schrödinger Operators - Supervisor: Prof Karl Schmidt](https://sites.maths.cf.ac.uk/mathsugprojects/embedded-eigenvalues-of-schrodinger-operators-prof-k-m-schmidt/) - Title of project: Embedded Eigenvalues of Schrödinger Operators Code: KMS2122B Supervisor: Prof Karl Schmidt Project description: The spectrum of Schrödinger operators, corresponding to the set of admissible energies of a quantum mechanical system, consists of a half-line of continuous spectrum and additional discrete eigenvalues in many physically relevant situations. It is a rarer and more - [Models of Cancer and Calcium Signalling - Supervisor: Dr Katerina Kaouri](https://sites.maths.cf.ac.uk/mathsugprojects/models-of-cancer-and-calcium-signalling-supervisor-dr-k-kaouri/) - Title of project: Models of Cancer and Calcium Signalling Code: KK2122B Supervisor: Dr Katerina Kaouri Project description: Cancer cells exhibit increased motility and proliferation, which are instrumental in the formation of tumours and metastases. Calcium (Ca2+), the most important second messenger in our body, also plays a prominent role in the evolution of cancer. We - [Modelling of Calcium Waves in In-Vitro Fertilization - Supervisor: Dr K Kaouri & Dr T Woolley](https://sites.maths.cf.ac.uk/mathsugprojects/modelling-of-calcium-waves-in-in-vitro-fertilization-dr-k-kaouri/) - Title of project: Modelling of Calcium Waves in In-Vitro Fertilization Code: KK2122A Supervisors: Dr Katerina Kaouri & Dr Thomas Woolley Project description: Calcium (Ca2+ is a life and death signal, the most important second messenger in the body, carrying important information across all our cells. It also plays a very important role in embryogenesis, beginning - [Fractals - Supervisor: Dr Julian Scheuer](https://sites.maths.cf.ac.uk/mathsugprojects/fractals-supervisor-dr-julian-scheuer/) - Code: JS2122C - [The calculus of variations in classical mechanics - Supervisor: Dr Julian Scheuer](https://sites.maths.cf.ac.uk/mathsugprojects/the-calculus-of-variations-in-classical-mechanics-supervisor-dr-julian-scheuer-2/) - Code: JS2122B - [Reproducing kernel Hilbert C∗ -modules and applications to machine learning - Supervisor: Dr Bertrand Gauthier and Dr Gandalf Lechner](https://sites.maths.cf.ac.uk/mathsugprojects/reproducing-kernel-hilbert-c∗-modules-and-applications-to-machine-learning-supervisor-dr-bertrand-gauthier-and-dr-gandalf-lechner/) - Title of project: Reproducing kernel Hilbert C∗ -modules and applications to machine learning Code: GL2122B Supervisors: Dr. B. Gauthier and Dr. G. Lechner Project Description: Project offered as double module, single module, or both: Double Prerequisite modules: Functional and Fourier Analysis Number of students who could be supervised for this project: 1–2 Year: 4 - [Unitary Braidings - Supervisor: Dr Gandalf Lechner](https://sites.maths.cf.ac.uk/mathsugprojects/unitary-braidings-supervisor-dr-gandalf-lechner/) - Title of project: Unitary Braidings Code: GL2122A Supervisor: Dr G. Lechner Project description: Project offered as double module, single module, or both: Double Prerequisite modules: Linear Algebra I+II, Groups, Functional and Fourier Analysis Number of students who could be supervised for this project: 1 Year: 4 - [Viscosity solutions and homogenisation - Supervisor: Dr Federica Dragoni](https://sites.maths.cf.ac.uk/mathsugprojects/viscosity-solutions-and-nonlinear-partial-differential-equations-supervisor-dr-f-dragoni/) - Title of Project: Viscosity Solutions and Nonlinear Partial Differential Equations Code: FD2122B Supervisor: Dr. F. Dragoni Project description: Nonlinear partial differential equations (PDEs) describe many phenomena in sciences and economics, e.g. the value of an optimal control problem, minimal surfaces, porous media, conservation laws, etc. Solutions to these equations are often not sufficiently regular in order - [Inflation Instabilities in Nematic Elastomer Tubes - Supervisor: Dr Angela Mihai](https://sites.maths.cf.ac.uk/mathsugprojects/inflation-instabilities-in-nematic-elastomer-tubes-supervisor-dr-angela-mihai/) - Title: Inflation Instabilities in Nematic Elastomer Tubes Code: AM2122B Project Description: Nematic liquid crystal elastomers are advanced multifunctional materials that combine the exibility of polymeric networks with the ne- matic structure of liquid crystals. Due to their complex molecular architec- ture, they are capable of exceptional responses, such as large spontaneous deformations and phase transitions, - [Alternate paths and matchings in graphs - Supervisor: Dr Andrei Gagarin](https://sites.maths.cf.ac.uk/mathsugprojects/alternate-paths-and-matchings-in-graphs-supervisor-dr-andrei-gagarin/) - Project title: Alternating paths and matchings in graphs Name of supervisor: Dr Andrei Gagarin Code: AG2122A Project Description: Background Matchings play an important role in graph theory and applications, for example, in assignment problems, where pairs of items are to be matched together (e.g. if people are to be assigned to jobs). The problem of - [Dimension Reduction and Classification Algorithms. Supervisor: Dr. A. Artemiou](https://sites.maths.cf.ac.uk/mathsugprojects/dimension-reduction-and-classification-algorithms-supervisor-dr-a-artemiou/) - Title of Project: Dimension Reduction and Classification Algorithms Code: AA2122A Supervisor: Dr A. Artemiou Project description: Data mining and dimension reduction are two topics which receive great attention in the big data era we are in. There are a number of algorithms which were proposed to discuss data mining algorithms (like Support Vector Machines) and - [Bat Impact on Turbines and Carcass Distribution - Supervisor: Dr Thomas Woolley](https://sites.maths.cf.ac.uk/mathsugprojects/bat-impact-on-turbines-and-carcass-distribution-supervisor-dr-t-woolley/) - Title of Project:Bat Impact on Turbines and Carcass Distribution Code:TW2122A Supervisor:Dr Thomas E. Woolley Project description: We will model the impact of a bat bodies on a turbine as a simple projectile problem. Based on the stochastic distribution of bat impacts we will derive the probability density of bat carcasses. This can then be compared - [Category Theory and Homological Algebra - Supervisor: Dr. T. Logvinenko](https://sites.maths.cf.ac.uk/mathsugprojects/category-theory-and-homological-algebra-dr-t-logvinenko/) - Title of project: Category Theory and Homological Algebra Code: TL2122A Supervisor: Dr. T. Logvinenko Project description: Category theory enjoys an unfortunate reputation of a somewhat dry and abstract subject. Yet it is firmly established as the main language of modern pure mathematics, just as homological algebra is established as its main toolset. Most new developments - [Engaging Students in their Mathematics Learning: What Works? - Supervisor: Dr R. Wilson & Dr. M. Pugh](https://sites.maths.cf.ac.uk/mathsugprojects/engaging-students-in-their-mathematics-learning-what-works-supervisor-dr-r-wilson-dr-m-pugh/) - Title of Project: Engaging Students in their Mathematics Learning: What Works? Code: RHW2122C Supervisor: Dr. R. Wilson & Dr M. Pugh Project description: Research has shown that engaging students in the learning process increases attention, focus, and motivates them to practice higher-level critical thinking skills and promotes meaningful learning experiences. This leads to a key question: “what does - [Approaches to Learning in Mathematics - Supervisor: R. Wilson & Dr. M. Pugh](https://sites.maths.cf.ac.uk/mathsugprojects/approaches-to-learning-in-mathematics-supervisor-dr-m-pugh-dr-r-wilson/) - Title of Project: Approaches to Learning in Mathematics Code: RHW2122B Supervisor: Dr. R. Wilson & Dr M. Pugh Project description: Approaches to learning refers to the differences in intentions and motives a student has when facing a learning situation, and the corresponding strategies they utilise. One such distinction is between deep, surface and strategic approaches. Deep approaches - [The Use of Quizzing in the Learning of Mathematics - Supervisor: Dr R. Wilson & Dr. M. Pugh](https://sites.maths.cf.ac.uk/mathsugprojects/supporting-the-transition-from-school-to-university-dr-m-pugh-dr-r-wilson/) - Title of project: The Use of Quizzing in the Learning of Mathematics Code: RHW2122A Supervisor: Dr. R. Wilson & Dr. M. Pugh Project description: Quizzing is an increasingly common tool being utilised in education, especially in online education. Research suggests that this approach can help with concentration, identify gaps in knowledge, build confidence and help learners - [Topics in Combinatorics Supervisor: Prof. R. Behrend](https://sites.maths.cf.ac.uk/mathsugprojects/topics-in-combinatorics-supervisor-prof-r-behrend/) - Title of Project: Topics in Combinatorics Code: RB2122A Description: Combinatorics is the branch of mathematics concerned with the theory of arranging or selecting finitely-many objects according to specified rules. The objects can be material (such as people in a group or cards from a pack) or abstract (such as numbers, symbols or shapes). A primary - [Qualitative Theory of Partial Differential Equations - Supervisor: Prof. N. Dirr](https://sites.maths.cf.ac.uk/mathsugprojects/qualitative-theory-of-partial-differential-equations-n-dirr/) - Title of project: Qualitative Theory of Partial Differential Equations Code: ND2122B Supervisor: Prof. N. Dirr Project description: Certain partial differential equations of the form ∂tu(x,t)=∆u(x,t)+f(x,u(x,t)) can be transformed in an integral equation and solved by a Peano-Iteration in a similar way as it is done for ODEs. The difference is however, that we have to work - [Representation Theory of Finite Groups - Supervisor: Dr. M. Pugh](https://sites.maths.cf.ac.uk/mathsugprojects/representation-theory-of-finite-groups-dr-m-pugh/) - Title of project: Representation Theory Of Finite Groups Code: MP2122A Supervisor: Dr. M. Pugh Project description: In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces. In particular, group elements can be represented as matrices so that the group operation can be represented by matrix - [Eigenvalue Problems for (Large) Matrices - Supervisor: Prof. M. Marletta](https://sites.maths.cf.ac.uk/mathsugprojects/eigenvalue-problems-for-large-matrices-professor-marco-marletta/) - Title of Project: Eigenvalue Problems for (large) Matrices Code: MM2122A Supervisor: Professor Marco Marletta Project description: This project is about solving the matrix eigenvalue problem Au = λu. The ultimate aim is to deal with the case when A is a large sparse matrix, but the student will rst study methods which are used for full matrices. - [Arithmetic Functions and the Riemann Zeta Function - Supervisor: Dr M. C. Lettington](https://sites.maths.cf.ac.uk/mathsugprojects/arithmetic-functions-and-the-riemann-zeta-function-supervisor-dr-m-c-lettington/) - Title of project: Arithmetic Functions and the Riemann Zeta Function Code: MCL2122A Supervisor: Dr. M. C. Lettington Project description: Project offered as double module, single module, or both: Double Prerequisite and Recommended 2nd year modules: MA2011 Introduction to Number Theory I Recommended 3rd year modules for concurrent study: MA3011 Introduction to Number Theory II Number of - [Spectrum of the Laplace (Schrodinger) operator on an interval and its asymptotics for small perturbations - Supervisor: Dr Mikhail Cherdantsev](https://sites.maths.cf.ac.uk/mathsugprojects/spectrum-of-the-laplace-schrodinger-operator-on-an-interval-and-its-asymptotics-for-small-perturbations-supervisor-dr-mikhail-cherdantsev/) - Code: MC2122B - [Analysing the distribution of GARCH innovations - Supervisor: Dr. Kirstin Strokorb](https://sites.maths.cf.ac.uk/mathsugprojects/analysing-the-distribution-of-garch-innovations-dr-kirstin-strokorb/) - Title of project: Analysing the distribution of GARCH innovations Code: KS2122A Supervisor: Dr. Kirstin Strokorb Project description: When modelling financial time series with GARCH(1,1) processes, the distribution of the GARCH innovations plays a key role in dynamic risk managment. For instance, choosing either Student-t innovations or normal innovations as a modelling approach can lead to - [The Arithmetic-Geometric Mean and Elliptic Integrals - Supervisor: Prof. K.M. Schmidt](https://sites.maths.cf.ac.uk/mathsugprojects/the-arithmetic-geometric-mean-and-elliptic-integrals-prof-k-m-schmidt/) - Title of project: The Arithmetic-Geometric Mean and Elliptic Integrals Code: KMS2122A Supervisor: Prof. K.M. Schmidt Project description: The Arithmetic-Geometric Mean is a function, defined via a limit process by Gauss after playing with the two concepts of mean which compose its name. This function turns out to be intimately connected with elliptic integrals and, since - [The Calculus of Variations in Classical Mechanics - Supervisor: Dr Julian Scheuer](https://sites.maths.cf.ac.uk/mathsugprojects/the-calculus-of-variations-in-classical-mechanics-supervisor-dr-julian-scheuer/) - Code: JS2122A - [Optimeiddio Systemau Ciwio - Goruchwyliwr: Dr Geraint Palmer](https://sites.maths.cf.ac.uk/mathsugprojects/optimeiddio-systemau-ciwio-goruchwyliwr-dr-geraint-palmer/) - Teitl y project: Optimeiddio Systemau Ciwio Code: GP2122A Goruchwyliwr: Dr Geraint Palmer Disgrifiad: Fe ellir modelu systemau ciwio mewn gwahanol ffyrdd, yn analytig trwy ddiffinio cadwynau Markov, neu trwy efelychiad cyfrifiadurol. Mae’r dulliau hyn hefyd yn gallu cael eu hymestyn a’u defnyddio ar gyfer optimeiddio. Gallwn ymestyn cadwynau Markov i brosesau penderfynu Markov - [Frobenius algebras - Supervisor: Dr A Ros Camacho](https://sites.maths.cf.ac.uk/mathsugprojects/frobenius-algebras-supervisor-dr-a-ros-camacho/) - Title of Project: Frobenius algebras Code: ARC2122A Supervisor: Dr A Ros Camacho Project Description: Frobenius algebras are an interesting family of algebrasthat play a crucial role in research topics of mathematical physics. In thisproject, we will study them and its properties, compute several examplesof these and see how they arise in the study of topological - [Develop Innovative Methods for Teaching mathematics in Primary School - Supervisor: Dr. F. Dragoni & Dr. M. Pugh](https://sites.maths.cf.ac.uk/mathsugprojects/develop-innovative-methods-for-teaching-mathematics-in-primary-school-dr-f-dragoni/) - Title of project: Develop Innovative Methods for Teaching Mathematics in Primary School Code: FD2122A Supervisor: Dr F. Dragoni & Dr. M. Pugh Project description: 1-The project consists in developing an extra-curricular mathematical subject or to be introduced in primary school, at all levels from Reception to Year 6. The student will need to choose and develop the - [Cavitation in nematic elastomer spheres - Supervisor: Dr A Mihai](https://sites.maths.cf.ac.uk/mathsugprojects/cavitation-in-nematic-elastomer-spheres-supervisor-dr-a-mihai/) - Title: Cavitation in nematic elastomer spheres Code: AM2122A Project Description: Nematic liquid crystal elastomers are advanced multifunctional materials that combine the exibility of polymeric networks with the ne- matic structure of liquid crystals. Due to their complex molecular architec- ture, they are capable of exceptional responses, such as large spontaneous deformations and phase transitions, which - [Dimension Reduction and Classification Algorithms - Supervisor: Dr Andreas Artemiou](https://sites.maths.cf.ac.uk/mathsugprojects/dimension-reduction-and-classification-algorithms-dr-a-artemiou/) - Title of Project: Dimension Reduction and Classification Algorithms Code:AA2122A Supervisor:Dr A. Artemiou Project description:Data mining and dimension reduction are two topics which receive great attention in the big data era we are in. There are a number of algorithms which were proposed to discuss data mining algorithms (like Support Vector Machines) and dimension reduction algorithms - [Covering spaces and subgroups of free groups](https://sites.maths.cf.ac.uk/mathsugprojects/covering-spaces-and-subgroups-of-free-groups/) - Code: UP2122C Supervisor: Ulrich Pennig Project Description:The fundamental group of a topological space, which we encountered in the algebraic topology course, is defined as the homotopy classes of based loops in the space, where the group multiplication is induced by concatenation. The fundamental group of the torus is generated by two such loops a and ## Pages - [Year Three & Year Four Project Descriptions](https://sites.maths.cf.ac.uk/mathsugprojects/home/) - The project descriptions on this site are provided to help you to choose your Year Three or Year Four project. You will need, at a later stage, to list four choices of project in order of preference. A form for making these choices is included in the relevant section of the navigation bar above. This form - [Year 4 Project Information and Selection](https://sites.maths.cf.ac.uk/mathsugprojects/yr4/) - The project descriptions on this site are provided to help you to choose your Year 3 or Year 4 project. You should study the project descriptions carefully, taking note of any prerequisite Year 3 modules and Year 4 modules that are recommended for concurrent study. However, the written information that is provided should only be - [Year 3 Project Information and Selection](https://sites.maths.cf.ac.uk/mathsugprojects/yr3/) - The project descriptions on this site are provided to help you to choose your Year 3 or Year 4 project. You should study the project descriptions carefully, taking note of any prerequisite Year 2 modules and Year 3 modules that are recommended for concurrent study. However, the written information that is provided should only be ## Categories - [2021/2022](https://sites.maths.cf.ac.uk/mathsugprojects/category/2021-2022/) - [Both](https://sites.maths.cf.ac.uk/mathsugprojects/category/both/) - [Double](https://sites.maths.cf.ac.uk/mathsugprojects/category/double/) - [Single](https://sites.maths.cf.ac.uk/mathsugprojects/category/single/) - [Yr 3 Descriptions 2021/2022](https://sites.maths.cf.ac.uk/mathsugprojects/category/yr-3-descriptions-2021-2022/) - Please click Older Posts at the bottom of the page and subsequent pages for further project descriptions. - [Yr 4 Description 2021/2022](https://sites.maths.cf.ac.uk/mathsugprojects/category/yr-4-description-2021-2022/) - Please click Older Posts at the bottom of the page and subsequent pages for further project descriptions.