The London Mathematical Society is pleased to announce the list of successful applications to the 2021 round of Undergraduate Research Bursaries. The awards for 2021 are also partially funded by the Heilbronn Institute of Mathematical Research.
*Indicates the institution agreed to matchfund the award.
List for previous years can be found further down the page: 2020, 2019, 2018, 2017, 2016, 2015 and 2014
Institution  Research Supervisor  Student  Research 
Aberdeen  Irakli Patchkoria  Hubert Szynglarewicz  Stone Duality and Group Actions 
Bath*  Antal A. Jarai  Miles Elvidge  Conformal covariance of the height zero correction field in 2D sandpiles 
Bath*  Daniel Loughran  Dominic PughCook  Rational points on stacky curves 
Birmingham*  Matthew Jenssen  William Turner  Sphere Coverings in High Dimensions 
Bristol*  Alexander Holroyd  Luke Turvey  Cellular Automaton Traffic Models 
Bristol*  Sidahrth Jaggi  Yulin Zhang  Packings in high dimensions/Adversarial channels 
Bristol*  Shibabrat Naik/Stephen Wiggins  Alexander Hind  Machine learing geometry of phase space structure relevant for reaction dynamics 
Cambridge*  Jeffrey Hicks  Daniel Holmes  Characterization of Dimers from Coamoeba 
Cambridge*  Mihalis Dafermos  Callum Nicolas  Stability of the black hole 
Dundee*  Lukas Eigentler  Laura Briganti Wiprachtiger  Competition and coexistence in microbial communities: insights from mathematical modelling 
Durham*  Norbert Peyerimhoff  Ben Snodgrass  Ricci flatness and BakryEmery curvature of graphs 
Durham*  Daniele Dorigoni  Alexander Grover  Modular graph functions, multizeta values and String theory 
Durham*  Pankaj Vishe  Anitej Banerjee  Rational Points on Algebraic Varieties 
Durham*  Andrew Lobb  Jacob Saunders  Peg problems in topology 
East Anglia*  Davide Proment  Joseph WindsorFreeman  Vortices in Quantum Fluids with extensions to more than three spatial dimensions 
Edinburgh*  James Wright  Taraneh Latifi Seresht  The zeros of the Riemann zeta function 
Exeter*  Jennifer Creaser  Isaac Lee  Exploring the domino effect in heterogeneous networks 
Glasgow*  Christopher Athorne  Jack Davidson  Examples and applications of resolutions 
Glasgow*  Maxime Fortier Bourque  Samuel Horsch  Computing the systole of triangle surfaces 
Glasgow*  Simon Candelaresi  Celine Beck  Dynamics of twisted magnetic knots in plasmas 
Hertfordshire*  Catarina Carvalho  Eleanor Cooke  Maximal subgroups of the semigroup of multpermutatons 
Huddersfield*  Ann Smith  Abigail Mitchell  Multivariate statistical modelling in machine condition monitoring 
Imperial College London*  Richard Thomas  Zhengkai Pan  Introduction to Enumerative Algebraic Geometry 
Keele*  Danila Prikazchikov  Michael Davies  Multiparametric asymptotic analysis of a layered elastic foundation 
King's College London*  Nadav Drukker  Yevhan Nahirnyy  Multidimensional Visualisation of Knots and their Invariants 
Lancaster*  Nadia Mazza  Jakub Waniek  Hausdorff dimension spectrum of prop groups 
Lancaster*  David Pauksztello  Isabel Suyay Colorado Romero  Type D positive FussCatalan combinatorics and representation theory 
Leeds*  Stephen Griffiths  Laura Pinkney  Exponential asymptotics for eigenvalues of differential equations 
Liverpool Hope*  Andrew Foulkes  Helena Jarvis  Subcritical Hopf Bifurcations in models of cardiac excitation 
Liverpool Hope*  Pavlos Xenitidis  Louis Brady  Integrability conditions for systems of difference equations 
Manchester*  Omar Leon Sanchez  Alberto Miguel Gomez  On the model theory of bounded differential fields 
Manchester*  Marcus Tressl  Kashish Raimalani  On Jacobi's conjectural bound for order 1 systems of algebraic PDEs 
Nottingham*  Anna Kalogirou  Shane Elliot  Solutal Marangoni instability in coreannular flows 
Nottingham*  John King  Thomas Carruthers  Asymptotic analysis of nonlinear ordinary differential equations 
Nottingham*  Matthias Kurzke  Sean Gregory  Continuum limits of point vortex interactions 
Nottingham*  Christian Wuthrich  Julie Tavernier  The denominator of modular symbols 
Oxford*  Patrick Farrell  Isaac Newell  Bifurcation analysis of two coupled 3D BoseEinstein condensates 
Oxford*  Anna Seigal  Kexin Wang  Rank and Symmetric Rank Decomposition for Tensors 
Oxford*  Lionel Mason  Peize Liu  From breaking waves to conformal mappings via WKB analysis 
Oxford*  Konstantin Ardakov  Jonathan Medcalf  Integervalued polynomials and bounded functions on character varieties 
Plymouth  Daniel Robertz  Joshua Ramsey  Symmetric embeddings of simplicial surfaces 
Plymouth  Vincent Drach  Ruby PearceCasey  Phase transition in the Ising Model: from MonteCarlo methods to automatised classification using machine learning 
Queen Mary University of London  Shabnam Beheshti  Denis George Mih  Relativistic Viscous Hydrodynamics: Open questions and First Steps 
Queen's University Belfast  Mauro Paternostro  Madhav Tiwari  A quantum crash on Darwin 
Reading*  Jani Virtanen  Giovanni Taffarello  Pseudospectra and their applications 
Sheffield*  Dimitrios Roxanas  Calum Hughes  Dynamics of Linear Operators: Limit sets in Finite Dimensions 
Surrey*  Matthew Turner  Anusha Schutz  Particle motion in an oscillating cone 
Surrey*  Thomas Bridges  Rebekah Aspinwall  Clifford Algebra and Geometric Fluid Dynamics 
Surrey*  Dorje Brody  Georgii Piskov  Signal processing in biological systems 
UCL*  Costante Bellettini  James Tissot  Isoperimetric inequalities in surfaces of constant curvature 
UCL*  Robert Bowles  Michael Nguyen  Instabilities of a liquid film with nonuniform velocity profile 
UCL*  Duncan Hewitt  Yunwei Zhang  Viscoplastic flow in channels 
Warwick*  Robin Thompson  Nicholas Lai  Mathematical modelling of vaccine escape 
York*  Stephen Connor  Dorsa Vakilzadeh Hatefi  Mixing Time for a Grid Transposition Shuffle 
Undergraduate Research Bursaries Awarded in 2020
Institution 
Research Supervisor 
Student 
Research 

Brunel* 
Shashank Virmani 
Luke Dando 


Durham* 
Simon Ross 
Isaac Pillar 
Random Matrices and Gravity 

Durham* 
Mark Powell 
Lucia Karageorghis 
Nonorientable 4genus of Knots 

Durham* 
Stephen Harrap 
Steven Robertson 
Recent advances in Metric Theory 

Durham* 
Georgios Karagiannis 
Alfi Gözaçan 
On the Development of Doubly Stochastic Hamiltonian Monte Carlo Algorithm 

HeriotWatt 
Alexandre Martin 
Clara Flegel 
The Combinatorial Geometry of Artin Groups 

HeriotWatt 
Christian Saemann 
Emmanouil Sfinarolakis 
Integrable Field Theories and Homotopy Algebras 

Lancaster* 
Alexander Gibberd 
Jessica Green 
Wavelet Methods for Dependency Analysis in Multivariate Time Series 

Lancaster* 
Adam Sykulski 
Moaaz Sidat 
Forecasting Time Series Models When Multiple Model Components are Present 

UCL* 
Edward Johnson 
Christoforos Kassianides 
Multibody Interactive Motion in a Confined Twodimensional Inviscid Flow 

UCL* 
Robert Bowles 
Shiza Naqvi 
Inertial and Capillary Effects in Coating Flows 

UCL* 
David Hewett 
Alexandros Groutides 
Sobolev Spaces and Minimal Norm Extensions 

Bath* 
Tristan Pryer 
Charlotte Johns 
Mathematical Aspects of Landslides 

Bath* 
Johannes Nordstrom 
Rowan Juneman 
Cohomogenity One Solutions 

Birmingham* 
Alexandra Tzella 
Calum Brown 
Diffusion and Chemical Reactions in Arrays of Obstacles: Beyond Homogenisation 

Bristol* 
Isaac Chenchiah 
Ziyang Liu 
Bespoke Extensional Elasticity and Viral Mechanics 

Bristol* 
Shibabrat Naik & Stephen Wiggins 
Piero Sarti 
Computation and Visualisation of Phase Space Structures in Two Degrees of Freedom Hamiltonian Systems 

East Anglia* 
Shaun Stevens 
Hector Betteridge 
Extensions of Padic Fields and the Critical Exponent 

East Anglia* 
Davide Proment 
Martha Hobby 
Mathematical Models of Multiscale Brain Network Interactions 

Exeter* 
Kyle Wedgwood 
Alec Sargood 
Estimation of Phase Response Curves in Noisy Systems 

Glasgow* 
David Manlove 
Sonja Kraiczy 
Popular Rankings and Stable Noncrossing Matchings 

Glasgow* 
Amira Elayouty 
Yixin Wan 
Estimation of Reference Growth Charts for Children in Egypt using Quantile Regression Methods 

Kent* 
Alfred Kume 
Trinnhallen Brisley 
Kalman Filter Algorithm for Parameter Estimation in StateSpace Models 

Nottingham* 
Chris Brignell 
Emily Cowley 
Developing Interactive Tools to Illustrate Concepts in Probability and Statistics 

Nottingham* 
Reuben O'Dea 
Oliver Cattell 
Form and Function in Electrical Microgrids 

Nottingham* 
Joel Feinstein 
Jonathan Davies 
Rectangular Swiss Cheeses 

Nottingham* 
Alexander Kasprzyk 
HannahJo Operaña Wood 
Pure Maths Through Machine Learning 

Oxford* 
Tom Sanders 
Katherine Benjamin 
The Interplay of Addition and Multiplication in Finite Fields 

Oxford* 
Ian Hewitt 
Robert Gondris 
Network Models for Flood Management 

Oxford* 
Michael Bonsall 
Jonathan Carlisle 
Markov Chains, Multiscale Modeling and Disease Pandemic Risk 

Surrey* 
Sergey Zelik 
Benjamin Galbally 
Convergence of Lattice Sums and Madelung Constants 

Surrey* 
Gianne Derks 
Rebekah Aspinwall 
Mechanistic Underpinning of Phenomenological Cancer Growth Models 

Warwick* 
Christopher Lazda 
Benjamin Lemaigre 
Zeta Functions of Elliptic Curves and K3 Surfaces 

Warwick* 
Miles Reid 
Jon Cheah 
Finite Rotation Subgroups and their Spinor Double Covers 

Warwick* 
Miles Reid 
Samuel Gue 
Roots of Unity, Cyclotomic Polynominals and Related Problems 

York 
Victoria Gould 
Bethan Davies 
Endomorphisms of Transformation Monoids with Applications to Cryptography 
Undergraduate Research Bursaries Awarded in 2019
Institution  Research Supervisor  Student  Research 
Aberdeen  Benjamin Martin  Eleftherios Chatzitheodoridis  Boundedness for Algebraic Groups 
Bath*  Matthias Ehrhardt  Samuel Cortinhas  A Continuous Approach to Magnetic Resonance Fingerprinting 
Bath*  Johannes Nordström  Aleksandar Samsiev  The Rational Homotopy Type of 8Manifolds 
Birmingham*  Fabian Spill  Alastar Phelan  Celluar Geometry and Information Processing 
Bristol*  Shibabrat Nalk  Wenyang Lyu  Comparative Overview of Numerical Methods for Computing Unstable Periodic Orbits in Hamiltonian Mechanics 
Cambridge*  CarolaBibiane Schönlieb  Kevin Han Huang  Regularization by Denoising: Choosing the Denoiser 
Dundee*  Gunnar Hornig  Fiona Lapp  An Investigation into ForceFree Magnetic Fields 
Durham*  Jack Shotton  Dylan Johnston  Positivity and the Weight Part of Serre's Conjecture 
Durham*  Daniele Dorigoni  Stefanos Rodinos  Resurgent Asymptotic Analysis of the Path Integral for Quantum Mechanics 
Durham*  Thanasis Bouganis  Rachel Gaffney  ErrorCorrecting Codes and the Basis Problem in the Theory of Siegel Modular Forms 
Edinburgh*  Jacques Vanneste  Isambard Goodbody  The Mathematics of Neutral Planes in the Ocean 
Exeter*  Nigel Byott  Isabel MartinLyons  HopfGalois Structures on Some NonNormal Field Extensions 
Glasgow*  Colin Torney  Marek Bojko  Cooperation, Competition and Information Sharing in Social Groups 
Glasgow*  Nema Dean  Wenhui Zhang  Variable Selection for Growth Mixture Models 
Keele*  Ludmilla Prikazchikova  Shaharyaar Shamsi  Out of Plane LowFrequency Motion of a Circular Elastic Disc 
Kent*  Philipp Lambe  James Bradshaw  Spectra of Snake Graphs 
Lancaster*  Andrew Titman  Rhys Warham  IllnessDeath Modelling on Oncology Clinical Trials: Leveraging the SemiMarkov Assumption 
Leicester*  Jason Semeraro  Kirsty Campbell  Cycle Polynomials of Groups and Chromatic Polynomials of Graphs 
Loughborough*  Diwei Zhou  Zhenghong Zhou  Statistical Shape Analysis for Brain Fibre Description 
Manchester*  Marcus Tressl  Ricardo Palomino  Invariants for the Simultaneous Conjugacy Problem of Matrices over Fields 
Manchester*  William Lionheart  Benjamin Collard  Gemetric Properties of Polarization Tensors of Polygons 
Nottingham*  Matthias Kurzke  Patience Ablett  Interaction of Charged Vortices 
Nottingham*  Jorma Louko  William Smith  Energy Extraction from LorentzViolating Black Holes 
Nottingham*  Matteo Icardi  Xinyu Shen  Dimension Refuction for Solid State Diffusion in Batteries 
Nottingham*  Gilles Stupfler  Qianlu Zhou  Extreme Quantile Estimation with Dependent Censoring 
Oxford*  Radek Erdan  Julia Stadlmann  Arithmetic Dynamics of Polynomials in Z[x] 
Oxford*  Thomas Oliver  Thomas Wisson  Eisenstein Series 
Oxford*  Walter Riccardo Maffucci  Martin Ortiz Ramirez  Lattice Points in Specific Regions 
Oxford*  Liana Yepremyan  David Munha Canas Correia  On a Question by Grinblat and Problems Related to It 
Portsmouth*  Thomas Waters  Holly Vary  Chaotic Geodesic Flows on Algebraic Surfaces 
QMUL  Shabnam Beheshti  Robert Sansom  Existence of Lump Solutions in the KP Hierarchy 
QUB*  Hannah Mitchell  Ben Collister  Comparison of Geostatistical Techniques 
Reading*  Zuowei Wang  Peter Nagymathe  Mathematical Modelling of Dynamic and Mechanical Behaviour of Elastic Particles 
Sheffield*  Elena Marensi  Emily Butler  How does a Hairpin Vortex Arsise in Fluid Flows? 
Surrey*  James Grant  Lewis Napper  Curvature and LowRegularity Geometry 
UCL*  Ruben PérezCarrasco  Vivienne Leech  Phase Portrait Analysis of the Experimental Synthetic AC/DC Circuit 
UCL*  Yiannis Petridis  Axel Kerbec  Modular Forms, LFunctions and Their Value Distribution 
Warwick*  Martin Lotz  James Taylor  LogConcave Sequences in Algebraic Combinatorics and Integral Geometry 
Warwick*  Maria Liakata  Joseph Colvin  Exploring Gated Graph Sequence Neural Networks for Rumour Verification 
York  Konstantin Ilin  Tyler Gaines  The Dynamics of Lagrange Top with Vibrating Suspension Point 
Undergraduate Research Bursaries Awarded in 2018
Institution  Research Supervisor  Student  Research 
Aberdeen  Mark Grant  Agata Sienicka  Geometric and topological aspects of the theory of braids 
Bath*  Mark Opmeer  Charlie Collier  Operator Riccati Equations in Fluid Dynamics and Beyond 
Bath*  Kirill Cherednichenko  Milos Tasic  Wave scattering by nonclassical onedimensional obstacles 
Bath*  Chris Budd  Zoe Dennison  Blow‐up in higher order PDEs with applications to mathematical geology 
Birmingham*  Meurig Gallagher  Sonia Dari  Mathematically modelling the effct of a nonNewtonian viscosity on the blood flow through coupled arterial anastomoses 
Birmingham*  Richard Mycroft  Jordan Chellig  Investigating correspondence colourings in graphs 
Birmingham*  Nikolaos Fountoulakis  Calina Durbac  The evolution of games on networks 
Bristol*  Roman Schubert  Ben Blakesley  Decoherence: how fast is noice propagated through a complex quantum system 
Bristol*  Viveka Erlandsson  Monika Kudlinksa  Word length of curves in orbifold groups 
Bristol*  Viveka Erlandsson  Rachel Pengelly  Word length of curves: detecting filling curves 
Cambridge*  Jack Thorne  Soham Karwa  Finding patterns in the sape of 2Selmer elements 
Cambridge*  Maurice Chiodo  Pawel Piwek  Investigating examples in group theory via computational means 
Durham*  Norbert Peyerimhoff  Leyna Waton May  Regular graphs with positive curvatures 
Durham*  Mark Powell  Daniel Galvin  Knots in S1 x S2 
Exeter*  John Thuburn  Jessica Farmer  Fitting low dimensional dynamical models to climate time series 
Exeter*  Julio Andrade  Jack Hanslope  Average values of the divisor function over function fields 
Glasgow*  Misha Feigin  Martin Vrabec  Twodimensional integrable systems 
Glasgow*  Vaibav Gadre  Giovanni Natale  Veeering triangulations on surfaces 
Glasgow*  Ian Strachan  Stamatis Marios Spyriounis  Modular Frobenius Manifolds: polynomial examples and modular forms 
HeriotWatt  Mark Wilkinson  Ciaran Dunne  The Dynamics of #fakenews on Social Media 
Institute of Cancer Research  Richard Houlston  Alec Linden DisneyHogg  Mathematical and computational assessment of methodologies for analysis of HiC and Promoter Capture HiC data 
Lancaster*  Mark MacDonald  Fabio La Rosa  Geometry of flag varieties: Low dimensional examples 
Leeds*  Stephen Griffiths  Jonathan Corcoran  The propagation of Kelvin waves around elongated islands 
Leicester*  Katrin Leschke  Aneesah Parkar  Deformations of the Gyroid 
Newcastle*  Andrew Duncan  Liam Yates  Fixed points of endomorphisms and automorphisms of trace monoids and partially commutative groups 
Nottingham*  Gilles Stupfler  Jay Chawda  Estimating extreme conditional quantiles with big data 
Nottingham*  Fredrik Stromberg  Andrei SeymourHowell  Zeros of Dirichlet series and Lfunctions 
Nottingham*  Kris van der Zee  Matthew Tyler  Advanced discontinuous discretisation techniques for multiscale partial differential equations 
Oxford*  Peter Keevash  Ioan Laurentiu Ploscaru  The typical structure of graphs with a hereditary property 
Oxford*  Kevin McGerty  Joshua Wrigley  Integration in finite terms 
Oxford*  David Hume  Abigail Burton  DirichletPoincare profiles of graphs and groups 
Oxford*  Robin Thompson  Francesca LovellRead  The canary in the coal mine: using mathematical modelling to improve surveillance of plant pathogens 
Oxford*  Christina Goldscmidt  Qizhao Chen  Parking on a random plane tree 
Oxford*  James Martin  Zhaomeng Chen  Ergodicity of onedimensional probabilistic cellular automata 
Oxford*  Paul Chleboun  Patrik Gerber  Front propagation in kinetically constrained models 
Oxford*  Konstantin Ardakov  Rhiannon Savage  Crystal bases for subgroups of quantum groups 
Oxford Brookes*  Carlos FresnedaPortillo  EmmaBeth Lacey  Discretisation of singular and hypersingular integrals 
QU Belfast  Ivan Todorov  Karys Dickson  Birkhoff's Ergodic Theorem 
Sheffield*  EuJin Kim  William Oxley  Fractal geometry in complex systems 
Surrey*  Anne Skeldon  Elliott SullingeFarrall  Bifurcations and dynamics in circle maps derived from 'threshold' dynamical systems 
UEA*  Mark Blyth  Elizabeth Murray  Effect of local geometry on diffusion‐based mathematical models of avascular tumours 
Warwick*  Edward Brambley  Sunny Sood  Mathematical Modelling of Ring Rolling 
York*  Brent Everitt  Wilf Rubinstein  Hyperbolic Buildings 
Undergraduate Research Bursaries Awarded in 2017
Institution  Research Supervisor  Student  Research 
Bath*  Chris Budd  Thomas Gregory  Application of Delay Differential Equations to Modelling El Nino Events 
Bath*  Johannes Nordström  Joseph Martin  The Matching Problem for Twisted Connected Sum G2Manifolds 
Bath*  Silvia Gazzola  Cyrus Yavari  Regularisation by Randomisation 
Bath*  Antal Jarai  Minwei Sun  Critical Exponents via Exact Sampling 
Birmingham*  Corneliu Hoffman  Mircea Sebe  Category Theory with Applications in Theoretical Computer Science 
Birmingham*  Chris Good  Joe Thomas  The Dynamical Properties of Shift Spaces 
Bristol*  Roman Schubert  Jesse Parsons  Engineering Quantum States by Interactions with an Environment 
Bristol*  Jon Keating  Huw Day  Finite Product Approximations to Lfunction 
Cambridge*  Geoffrey Grimmett  Paul Minter  Percolation near Criticality 
Cambridge*  Pau Figueras  George Robinson  An Initial Data Solver for GRChombo 
Cambridge*  Gabriel Paternain  Indi Pritchard  Inversion of the Geodesic Xray Transform on the Surfaces 
Dundee  David Pontin  Sophie Boswell  Analysing Chaotic Trajectories of Particles in the Vacinity of Null Points of Magnetic Fields 
Durham*  Georgios Karagiannis  Kieran Richards  On the Population Resampling based Stochastic Approximation Algorithm for the Evaluation of Emulators Against Large Datasets 
Durham*  Bernard Piette  Alexander Hoffman de Visme  Packing of Circles between Circles 
Durham*  Matthias Troffaes  Zeping Hao  Algebraic Methods for Propagating Uncertainty through Imprecise Markov Chains 
Durham*  Ian Vernon  Autumn Charnley  Bayesian Uncertainty Analysis of Agent Based Models with Application to Systems Biology and Epidemiology 
Edinburgh*  Chris Heunan  Leo Lobski  Quantum Set Theory 
Exeter  Hugo Lambert  Neil Lewis  Interaction between Convection, Land Fraction and Exoplanet Habitability 
Glasgow*  Tereza Neocleous  Zhuo Sun  Statistical Models for Forensic Voice Comparison 
Glasgow*  Joachim Zacharias  Theodoros Papazachariou  Ktheory and Witt Groups of C*and Banach Algebras 
Glasgow*  Ian Strachan  Theodora Nearchou  Miura Transformations for NovikovKdV Equations 
HeriotWatt  Heiko Gimperlein  Oliver Phillips  Eigenvalue Bounds for Nonselfadjoint Operators and Leaky Cavaties 
Imperial College*  Richard Thomas  Wanlong Zheng  Commutative Algebra, Algebraic Curves and Sheaf Cohomology 
Kent*  Bas Lemmens  Lewis White  Detecting Fixed Points of Nonexpansive maps and the Illumination Problem 
Kent*  Andrew Hone  Tessa Wilks  Iterations over Finite Fields and Pseudorandom Number Sequences 
Lancaster*  Rebecca Killick  David Ireland  Automatic Model Selection: Changepoints, Long Memory and Environmental Data 
Leeds*  Stephen Griffiths  Joseph Elmes  Selfgravitating Water Waves on Rotating Elastic Spheres 
Manchester*  Peter Rowley  Veronica Kelsey  Chamber Graphs and Sporadic Group Geometries 
Nottingham*  Stephen Coombes  Sunil Modhara  Rockpaperscissors (lizardspock): the Dynamics of Cyclic Dominance 
Nottingham*  Christian Wuthrich  Matthew Thompson  Higher Padic Elliptic Logarithms 
Nottingham*  Karthik Bharath  Thomas Townsend  Some Statistical Questions in Topological Data Analysis 
Nottingham*  Jennifer Gaskell  Alexander Arrowsmith  Mathematical Modelling of Bioenergy Crop Growth on Flood Plains 
Oxford*  Dan Ciubotaru  Marius Todea  Representations of Rational Cherednik Algebras for Noncrystallographic Root Systems 
Oxford*  Balazs Szendroi  Chi Yiu  Singularities of Algebraic Plane Curves and Knots 
Oxford*  David Seifert  Christopher Turner  An Operatortheoretic Approach to Discretetime Markov Processes 
Oxford*  Xuancheng Shao  Wenqiang Xu  A Study on Additive Structures of Sets in Combinatorics and Number Theory 
Portsmouth*  Thomas Waters  Tessa Wildsmith  The Conjugate Locus on the Quadraxial Ellipsoid 
St Andrews*  Peter Cameron  Simon Jurina  Permutation Group Cycles and Parker Vectors 
Surrey*  Alessandro Torrielli  Wookyung Kim  Boundstate Analysis of the Quantised KandomtsevPetviashvili Equation 
University College*  Helen Wilson  Yijie Li  Determining the Viscosity of a Fluid from a given Smooth Vector Field 
University College*  Jonny Evans  Teresa Ludenbach  Braid Group, Singularities and Monodromy 
University College*  Rod Halburd  Daniel Bussell  Movable Singularities of Solutions of Differential Equations 
Undergraduate Research Bursaries Awarded in 2016
Institution 
Research Supervisor 
Student 
Research 
Aberdeen 
Ellen Henke 
Gyan Singh 
Identifying Mathieu Groups 
Bath* 
Jonathan Dawes 
Anvarbek Atayev 
Thermal convection in nonNewtonian fluids 
Bath* 
Melina Frietag 
Paul Russell 
Projection based preconditioners for linear discrete illposed problems arising in image processing 
Bath* 
Simon Harris 
Philip Cohen 
Characteristics of vortex motion of closed surfaces of revolution 
Bath* 
Peter Postl 
Ludi Wang 
Incentive Mechanisms For Research and Innovation 
Bristol* 
Márton Bálazs 
Magnus Bennett 
Interacting walkers: stationarity and fluctuations 
Bristol* 
Thilo Gross 
Salvador Catsis 
Effective degree in epidemic spreading on complex networks 
Cambridge* 
CarolaBibiane Schonberg 
Georg Maierhofer 
Bilevel optimisation for learning the sampling pattern in Magnetic Resonance Tomography 
Cambridge* 
Natalie Vriend 
Katarzyna Warburton 
Silo honking: experimental investigation into the origins and characteristics of sound emission from granular flow in a vertical tube 
Durham* 
Vitaliy Kurlin 
Philip Smith 
Superpixel meshes for faster image and video processing 
Durham* 
Simon Ross 
Danny Vagnozzi 
Tensor networks and holography 
East Anglia* 
Joseph Grant 
Audie Warren 
Constructing finite Frobenius rings for application in algebraic coding theory 
East Anglia* 
David Proment 
Benjamin YoungLongstaff 
Vortices in Superfluids 
Edinburgh* 
Ruth King 
Martin Trimmel 
Exploring spatially explicit capturerecapture models 
Glasgow* 
Christophe Athorne 
Ionut Paun 
Geometry of low genus Riemann surfaces 
Glasgow* 
Ludger Evers 
Aleksandra Boicuka 
Smoothing methods for data from timeofflight experiments 
Glasgow* 
Luigi Vergori 
Theodora Torcea 
A rigorous mathematical derivation of the OberbeckBoussinesq approximation 
Glasgow* 
Andrew Wilson 
Sebastian Cultrera di Montesano 
Phylogenic Algebraic Geometry: Local description of the Kimura 2parameter model 
Imperial College* 
Paolo Cascini 
Federico Bongiorno 
Study of Elliptic Curves and its Applications 
Nottingham* 
Joel Feinstein 
William Reynolds 
Removability of exceptional sets for Hölder continuous functions on compact plane sets 
Nottingham* 
John King 
Jack Fellerman 
Exponential asymptotics 
Nottingham* 
Matthias Kurzke 
Timothy Espin 
Point vortex configurations 
Nottingham* 
Yves van Gennip 
Zhaoyuan Zou 
Optimal parameter selection in topic models 
Nottingham Trent* 
Jonathan Crofts 
Daniel Crookes 
Multiplex network models of the brain 
Oxford* 
Yves Cadebosq 
Lorenzo Sarnataro 
On Maximum Principle for Systems of 2nd order elliptic PDE 
Oxford* 
Kobi Kremnitzer 
Daniel Fletcher 
KacMoody groups as algebraic groups and their quantum versions 
Oxford* 
Tom Sanders 
AnaEliza Casapopol 
Sumsets of very large density 
Plymouth 
Daniel Robertz 
Edward Kitcher 
Exact solutions of PDEs and symmetries 
Portsmouth* 
Thomas Kecker 
Callum Waite 
Investigation of lattice reduction algorithms for the NTRU encryption scheme 
Portsmouth* 
William Lee 
Michael Castle 
Mathematical modelling of a new design of wave energy converter 
St Andrews* 
David Dritschel 
Sarah Stirrat 
Characteristics of vortex motion of closed surfaces of revolution 
UCL* 
Karen Page 
Luzie Helfmann 
Game theoretic investigation of the roles of trust and reputation in online retail 
UCL* 
Dmitri Vassiliev 
Mihai Barbu 
Spectral analysis of the operator curl on a closed Riemannian 3manifold 
Warwick* 
Weiyi Zhang 
Jonah Duncan 
Zoli manifolds and their interactions with complex and symplectic geometry 
York 
Martin Bees 
Euan Smithers 
Modelling flow fields due to microorganisms in confined environments 
York 
Victor Beresnevich 
Lawrence Lee 
Rational points near manifolds 
Undergraduate Research Bursaries Awarded in 2015
Institution 
Research Supervisor 
Student 
Research 
University of Bath 
Professor David Calderbank 
Edward JonesHealey 
Vertex operator algebras, from theory to examples and applications 
University of Bath 
Dr Simon Harris 
Stephen Pidgeon 
Catalytic branching Brownian motion 
University of Bath 
Professor Andreas Kyprianou 
Emma Horton 
Stable processes through the Kelvin transform 
University of Bath 
Dr Mark Opmeer 
Philip Hanson 
Rational Krylov subspaces for differential operators 
University of Birmingham 
Dr Nikolaos Fountoulakis 
Charlie Dickens 
Reconstructing hidden clustering in a graph: randomness and inhomogeneity 
Durham University 
Dr Dzmitry Badziahin 
Matthew Northey 
Checking padic Littlewood conjecture for certain types of numbers 
Durham University 
Dr Dirk Schuetz 
Lewin Strauss 
Steenrod Square calculations in the Khovanov homotopy type 
University of East Anglia 
Dr Richard Purvis 
Aimee Mulcahy 
Surface tension and inertia effects on air cushioning in droplet impacts 
University of Edinburgh 
Professor Andrew Ranicki 
JaanEerik Past 
Applications of Persistent Homology to Image Processing 
University of Edinburgh 
Dr Susan Sierra 
Rebecca Wood 
Point representations of the Witt algebra 
University of Edinburgh 
Dr Joan Simon 
David Grabner 
Minimal surfaces in asymptotically AdS spaces 
University of Glasgow 
Dr Brendan Owens 
Lavinia Bulai 
Unlinking numbers of 10crossing links 
HeriotWatt University 
Dr Mark Lawson 
Anna Suarez 
Noncommutative frame theory 
Imperial College London 
Professor Mauricio Barahona 
Ioannis Papadopoulos 
Network Theoretic Approaches for the Segmentation of a Population using Genetic Data 
University of Leeds 
Dr Oleg Chalykh 
Akshar Nair 
Quasiinvariant polynomials 
University of Nottingham 
Dr Stephen Cox 
James Lalyk 
Mathematical modelling of selfoscillating classD amplifies 
University of Nottingham 
Dr Silke Weinfurtner 
Andrew Scoins 
Hydrodynamic simulations of rotating black holes 
University of Oxford 
Professor Alison Etheridge 
Yue Hui 
A stochastic approach to the Fisher KPP equation with a fractional Laplacian 
University of Oxford 
Dr James Maynard 
Chun Pong Lau 
A study on gaps between primes and their distributions 
Plymouth University 
Dr Thomas McCourt 
Kyle BonettaMartin 
The canonical groups of properly face 2coloured triangulations of the sphere: What groups can you get? 
University College London 
Professor Gavin Esler 
Leo Middleton 
Point vortex equilibria: Solutions of the SinhPoisson Equation  from low to high energy 
Undergraduate Research Bursaries Awarded in 2014
Institution 
Research Supervisor 
Student 
Research 
University of Bath 
Professor David Calderbank 
Charles Craven 
Functoriality in geometry and representation theory 
University of Bath 
Professor Peter Morters 
Tom Crawley 
Spread of rumours in preferential attachment networks 
University of Belfast 
Dr Martin Matthieu 
Victoria Coombe 
Spectral Graph Theory Beyond Finite Dimensions 
University of Birmingham 
Dr Richard Mycroft 
Candida Bowtell 
Investigating external set systems 
University of Bristol 
Professor Guy Nason 
Lewis Rendall 
A new test of stationarity for network time series 
University of Bristol 
Dr Nina Snaith 
Patrick Morris 
Modelling elliptic curves with random matrix theory 
University of Cambridge 
Dr Thomas MontenegroJohnson 
David Baker 
Dynamics of cilia observed in developing zebrafish 
Cardiff University 
Dr Andreas Artemiou 
Luke Smallman 
Dimension reduction with reweighted large margin classifiers 
Cardiff University 
Dr Jonathan Gillard 
Holly Butcher 
Low rank approximations of matrices, with a view towards statistical applications 
University of Durham 
Dr Athanasios Bouganis 
Francesca Bianchi 
Special Values of LFunctions attached to Hecke Characters 
University of East Anglia 
Dr Robert Gray 
David Reed 
The directed geometry of finitely generated amendable semigroups 
University of East Anglia 
Professor Shaun Stevens 
Elaine Barker 
Counting cuspidal representations of finite and padic reductive groups 
University of Glasgow 
Dr Christina Cobbold 
Remus Stana 
Can organisms with a nonmotile lifestage keep pace with climate change? 
Imperial College London 
Professor Alessio Corti 
Ben Wormleighton 
Hilbert Functions of orbifold del Pezzo surfaces 
University of Nottingham 
Dr Alexander Ossipov 
Thomas Cope 
Quantum wavefunctions in disordered topological insulators 
University of Oxford 
Dr Tobias Dyckerhoff 
Lothar Krapp 
Unoriented Surfaces, Moebius graphs and outer space 
University of Portsmouth 
Dr James Burridge 
Steven Kenney 
Power laws and power law crossover in cascading systems 
Royal Holloway, University of London 
Dr Martin Widmer 
Sahana Seetharaman 
Counting points of bounded height in certain infinite extensions 
University of Strathclyde 
Dr Michael Grinfeld 
Maciej Buze 
Nonlocal Models of Phase Transitions 
University of Surrey 
Dr Bin Cheng 
Timothy Burchell 
Accuracy and validation of braotropic fluid models on a sphere 