Proposed projects

1. A numerical look at quantum mechanics
   Difficulty level: Any
   Supervisor: Andrew Bruce.
   


2. Eigenvalues of random matrices
   Difficulty level: Any
   Supervisor: Simon Campese
   


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


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


5. Buffon's needle problem
   Difficulty level: Any
   Supervisor: Arturo Jaramillo
   


6. Secretary problem
   Difficulty level: Any
   Supervisor: Arturo Jaramillo
   


7. Stock trading with machine learning models
   Difficulty level: Any
   Supervisor: George Kerchev
   


8. Percolation
   Difficulty level: Any
   Supervisor: George Kerchev
   


9. Betting Games
   Difficulty level: Any
   Supervisor: George Kerchev
   


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


11. The Collatz conjecture
    Difficulty level: Any
    Supervisor: Luca Notarnicola, Massimo Notarnicola.
    


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


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


14. Graphs and puzzles
    Difficulty level: Any
    Supervisor: Bruno Teheux, Hugo Parlier
    


15. Solving polynomial equations
    Difficulty level: Any
    Supervisor: Gabor Wiese, Guendalina Palmirotta
    


16. Knights and Queens
    Difficulty level: Any
    Supervisor: Luca Notarnicola, Gabor Wiese
    


17. Magic Square of Squares - The Modular Approach
    Difficulty level: Any
    Supervisor: Gabor Wiese
    


18. Illustrating Number Theory
    Difficulty level: Any
    Supervisor: Luca Notarnicola, Gabor Wiese
    


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