## Proposed projects

- Arithmetic Billiards

Difficulty level: Any

Supervisors: Antonella Perucca, Sebastiano Tronto

- Langton and his Ant

Difficulty level: Any

Supervisors: Tara Trauthwein

- Longest common subsequences

Difficulty level: Any

Supervisor: George Kerchev

- Pseudo-random numbers

Difficulty level: Advanced

Supervisors: Ivan Nourdin, George Kerchev, Gabor Wiese

- Knights and Queens

Difficulty level: Any

Supervisor: Thierry Meyrath, Gabor Wiese

- Magic Square of Squares - The Modular Approach

Difficulty level: Any

Supervisor: Thierry Meyrath, Gabor Wiese

- Continued fractions on Hecke triangle surfaces

Difficulty level: EML 2, EML 3 or EML 4.

Supervisor: Gabor Wiese, Guendalina Palmirotta

- Perturbations of the Lorenz system/Mathematical Physics

Difficulty level: Introductory/intermediate (some basic knowledge of differential equations is needed)

Supervisor: Andrew Bruce

Tools: A Mathematica notebook has been prepared for the students to modify. However, they would be free to use other computer languages if they wish.

- Rigidity of weakly convex polyhedra

Difficulty level: Medium/Advanced

Supervisor: Jean-Marc Schlenker

- Counting points over finite fields

Difficulty level: Any

Supervisor: Gerard van der Geer, Bryan Advocaat

- Topological data analysis

Difficulty level: Advanced

Supervisor: Axel Siberov

- Lët'z box-counting!

Difficulty level: Bachelor thesis

Supervisor: Lara Daw, Guendalina Palmirotta

- Behind the secrets of Hadamard matrices and their applications

Difficulty level: EML 2, 3, 4, 5

Supervisor: Guendalina Palmirotta

- Voter models and influencers in social networks

Difficulty level: Any

Supervisor: Simon Campese

- Patterns in random data (how not to fake your tax return)

Difficulty level: Any

Supervisor: Simon Campese