## Proposed projects

- Arithmetic Billiards

Difficulty level: Bachelor thesis

Supervisors: Antonella Perucca, Sebastiano Tronto

Starting date: Summer semester 2020 or later.

- Illustrating Number Theory

Difficulty level: Any

Supervisors: Gabor Wiese, NN

- Magic Square of Squares

Difficulty level: Any

Supervisors: Gabor Wiese, NN

- Knights and Queens

Difficulty level: Any

Supervisors: Gabor Wiese, George Kerchev

- Primes versus Random Sets

Difficulty level: Any

Supervisors: Gabor Wiese, NN

- Continued fractions for Hecke triangle surfaces
Level: EML 1 (for courageous students) 2,3

Supervision: Gabor Wiese, NN

Prerequisites: Linear Algebra 1,2, Analysis 1,2

Starting date: Summer semester 2020 or later

- Fractal limit sets and Schottky groups

Difficulty level: Any

Supervisor: Miguel Acosta

- Betting Games

Difficulty level: Introductory

Supervisor: George Kerchev

- Percolation

Difficulty level: Introductory

Supervisor: George Kerchev

- Integer partitions and the Arctic Circle theorem

Difficulty level: Introductory

Supervisor: Simon Campese

Tools: Programming can be done in C/C++, Python, R, Matlab/Octave, Wolfram Mathematica, Maple etc., depending on the knowledge of the student.

- Runs in random sequences

Difficulty level:
Introductory/intermediate (some basic knowledge of probability theory is needed)

Supervisor: Simon Campese

Tools:
Programming can be done in C/C++, Python, R, Matlab/Octave, Wolfram Mathematica, Maple etc., depending on the knowledge of the student.

- Perturbations of the Lorenz system

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.