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This is a collection of posters/blogs/reports made by our undergraduates under the Undergraduate Research Support Scheme (URSS). In addition to a scientific report, each research student also produced a more accessible version of their work, which we have collected below. These should give you an idea of the range of mathematical research at ¹û¶³´«Ã½.

Projects in 2025

• Xavier Gasper and Ibrahim Adnan Khan: Tropicalisation of conics
• Niko Gigiberia: Bayesian model selection with an application to cosmology
• Rachel Haddad: Connections, curvature and symmetry
• Dexter Hicks: Investigating Assouad-Nataga dimension through its links to asymptotic dimension
• Yiyang Hu: Differential equations in cell motility: applications of numerical methods in the real world
• Tristan Jackson: Simplifying the equations for a random particle model
• Evie Kendall: Results in infinite Ramsey theory: extending Rado's Theorem into multiple dimensions
• Arjun Maniyar: Pólya's enumeration theorem (report)
• Ansh Pincha: A hierarchical Bayesian framework for estimating goal scoring processes
• Ilya Ruchiev: Fibonacci in time-modulated wave systems
• Ellis Speight: Investigating decay during decontamination
• Ben Wadsworth: An interpolation approach to zero bounds of the Weierstrass ℘-function
• Ladislas Walewski: Homotopy for BLASSO (report)
• Toby Williams and Hongxin Zhen: Investigating deep image prior

Projects in 2024

• Logan Aitchison: Building a model of the UniverseLink opens in a new window (poster)
• Nikita Brykov: Random polynomialsLink opens in a new window (poster)
• Lyllian Chanerley: Modelling the decontamination of a porous materialLink opens in a new window (poster)
• Jacob Cook: Unravelling wrinkles in ice shelvesLink opens in a new window (poster)
• Owen Green: (website)
• Matthew Helm: A spectral fit to Riemann’s ξ functionLink opens in a new window (article)
• Joseph Hewson: Solving the Helmholtz equation over an infinite staircaseLink opens in a new window (poster)
• Thomas Higham: (video)
• Mihails Kosmans: TV denoising, inverse problems, and blood vessel ultrasound slicesLink opens in a new window (poster)
• Caroline Liu: (blog)
• Aris Mercier: On the embeddedness of minimal surfacesLink opens in a new window (article)
• Yajur Nanda: Introduction to curve shortening flowLink opens in a new window (article)
• Hector Palmer: Mathematics of crowd managementLink opens in a new window (poster)
• Kitty Powell: Cross-ratio degree problems for 7 and 8 points in projective spaceLink opens in a new window (article)
• James Rampton: Line defects in cholesteric liquid crystals with large winding numberLink opens in a new window (poster)
• Simon Shackleton: Analytic number theory and the Warring problemLink opens in a new window (poster)
• Ryan Tay: A prelude on the Wasserstein metricLink opens in a new window (article)
• Jakub Tucker: (blog)
• Toby Williams: Staircase scattering problemLink opens in a new window (poster)
• James Wyatt: Metric Diophantine approximation on fractalsLink opens in a new window (poster)
• Cody Zhao: Geometric viewpoint on Sturm-Liouville theory (poster)
• Hongxin Zhen: Can computers help us see the world more clearly?Link opens in a new window (poster)

Projects in 2023

• Jamie Bozier: (video)
• William Fuller: Integer solutions on cubic surfacesLink opens in a new window (poster)
• Alicia García-Sánchez: The n-queens problemLink opens in a new window (activity workbook)
• William Gillow: On the bounce: Mathematical modelling of a bouncing fluid droplet (poster + )
• Ed Holloway: Finite-difference methods in aero-acoustics (poster)
• Owen Jones: Fibonacci partitions and varianceLink opens in a new window (article)
• Tom King: (blog)
• George Kontoyiannis: (blog on algebraic geometry)
• Jack Lucas: Lines on non-singular cubic surfacesLink opens in a new window (poster)
• Muhammad Mukthar: Statistics of galaxy clusters in large N-body simulations (poster)
• Teo Petrov: Clique subdivisions in dense graphs with no bipartite holesLink opens in a new window (poster)
• Jean Paul Schemeil: The fundamental groupoid (poster)
• Bobby Rogers: Symmetric bilinear forms and the Grothendieck-Witt groupLink opens in a new window (article)
• Dan Shomron: (on X)
• DoÄŸukan Türköz: (using Sage)
• Harry Turnbull: Weak non-linear sound in 2D waveguidesLink opens in a new window (poster)
• Jack Walsh: (blog)
• Steve Wu: When mathematics meets biology (poster)
• Zihan Zhou: (code and graphs on GitHub)

Projects in 2022

• Christopher Atherfold's poster about functional inequalities and their applicationsLink opens in a new window
• Chanon Olley's poster about population clustering over ThailandLink opens in a new window
• Natasha Diederen's poster about the Bernstein problem for minimal surfacesLink opens in a new window
• Paul Lezeau's and his
• Lucas Ong Chen Ping's report about droplet evaporationLink opens in a new window
• Toby Sheldon's report on fast calibration of lithium-ion batteriesLink opens in a new window
• Lauren Shlomovich's poster about tessellations in the hyperbolic planeLink opens in a new window
• Matthaeus Ragg's poster about numerics of fractional diffusionLink opens in a new window
• Kate Thomas's poster outlining how we can bound the number of solutions to Diophantine equationsLink opens in a new window
• Wanying Zhao's poster about using machine learning to find astronomical structuresLink opens in a new window
• Kamran Arora's poster about derivation of the Boltzmann equationLink opens in a new window
• Gabriel Remond-Tiedrez's report about saddle node bifurcationsLink opens in a new window
• Ruzhen Yang's poster about the Beilinson spectral sequence in category theoryLink opens in a new window