Proposed projects

1. Arithmetic Billiards
   Difficulty level: Any
   Supervisors: Antonella Perucca, Sebastiano Tronto
   


2. Langton and his Ant
   Difficulty level: Any
   Supervisors: Tara Trauthwein
   


3. Longest common subsequences
   Difficulty level: Any
   Supervisor: George Kerchev
   


4. Pseudo-random numbers
   Difficulty level: Advanced
   Supervisors: Ivan Nourdin, George Kerchev, Gabor Wiese
   


5. Knights and Queens
   Difficulty level: Any
   Supervisor: Thierry Meyrath, Gabor Wiese
   


6. Magic Square of Squares - The Modular Approach
   Difficulty level: Any
   Supervisor: Thierry Meyrath, Gabor Wiese
   


7. Continued fractions on Hecke triangle surfaces
   Difficulty level: EML 2, EML 3 or EML 4.
   Supervisor: Gabor Wiese, Guendalina Palmirotta
   


8. 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.
   


9. Rigidity of weakly convex polyhedra
   Difficulty level: Medium/Advanced
   Supervisor: Jean-Marc Schlenker
   


10. Counting points over finite fields
    Difficulty level: Any
    Supervisor: Gerard van der Geer, Bryan Advocaat
    


11. Topological data analysis
    Difficulty level: Advanced
    Supervisor: Axel Siberov
    


12. Lët'z box-counting!
    Difficulty level: Bachelor thesis
    Supervisor: Lara Daw, Guendalina Palmirotta
    


13. Behind the secrets of Hadamard matrices and their applications
    Difficulty level: EML 2, 3, 4, 5
    Supervisor: Guendalina Palmirotta
    


14. Voter models and influencers in social networks
    Difficulty level: Any
    Supervisor: Simon Campese
    


15. Patterns in random data (how not to fake your tax return)
    Difficulty level: Any
    Supervisor: Simon Campese