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 some of the mathematical research that is undertaken at Warwick.

Projects in 2024

• 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: Social dynamics on random graphsLink opens in a new window (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: How will climate change affect tropical diseases?Link opens in a new window (video)
• Mihails Kosmans: TV denoising, inverse problems, and blood vessel ultrasound slicesLink opens in a new window (poster)
• Caroline Liu: Continued fractionsLink opens in a new window (blog)
• Aris Mercier: On the embeddedness of minimal surfacesLink 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)
• Ryan Tay: A prelude on the Wasserstein metricLink opens in a new window (article)
• Jakub Tucker: An upper bound on the Dehn function of Out(A_Γ) - a popular reportLink opens in a new window (blog)
• Toby Williams: Staircase scattering problemLink 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: Counting wormsLink opens in a new window (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 + code/videosLink opens in a new window)
• Ed Holloway: Finite-difference methods in aero-acoustics (poster)
• Owen Jones: Fibonacci partitions and varianceLink opens in a new window (article)
• Tom King: Shape and numberLink opens in a new window (blog)
• George Kontoyiannis: Scheming and plottingLink opens in a new window (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: Base sizes of imprimitive actions on simple groupsLink opens in a new window (on X)
• Doğukan Türköz: Tutorial on Graphs and GroupsLink opens in a new window (using Sage)
• Harry Turnbull: Weak non-linear sound in 2D waveguidesLink opens in a new window (poster)
• Jack Walsh: Introduction to finite groupsLink opens in a new window (blog)
• Steve Wu: When mathematics meets biology (poster)
• Zihan Zhou: Data-Driven Discovery of Partial Differential EquationsLink opens in a new window (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 blog about adversarial machine learningLink opens in a new window and his tutorial about how to create adversarial examples
• 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