- Arithmetic Billiards

Difficulty level: Bachelor thesis

Supervisors: Antonella Perucca, Sebastiano Tronto

- 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. - Continued fractions for Hecke triangle surfaces Level: EML 1 (for courageous students) 2,3
- Playing with Brownian motion paths Level: Advanced/Research.
- Gaussian and Poissonian approximations Level: Medium.
- Almost sure central limit theorem Level: Introductory / Medium.
- Kissing numbers Level: Introductory.
- Construction and visualization of flexible polyhedra Level: Introductory.
- Polygon zipping and volumes Level: Introductory.
- Spectrum of flexible polyhedra Level: Medium.
- Construction and visualization of domains of dependence Level: Advanced.
- Convex hulls of limits sets of hyperbolic or AdS manifolds Level: Medium/advanced.
- Smooth Numbers

Difficulty level: EML 2 (especially for students in their 3rd semester).

Supervision: Luca Notarnicola.

Starting date: Winter semester 2019/2020 or later.

Supervision: Gabor Wiese, Luca Notarnicola

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

Supervision: Ivan Nourdin

Prerequisites: Stochastic calculus

Supervision: Ivan Nourdin

Prerequisites: Probability 1

Supervision: Ivan Nourdin

Prerequisites: Probability 1

Supervision: Guenda Palmirotta, Jean-Marc Schlenker.

Prerequisites: analysis 1,2.

Starting date: Winter semester 2019/2020 or later.

Supervision: Guenda Palmirotta, Jean-Marc Schlenker.

Prerequisites: analysis 1.

Starting date: Winter semester 2019/2020 or later.

Proposed by Andrew Yarmola, who is now at Princeton University.

Supervision: Guenda Palmirotta, Jean-Marc Schlenker.

Prerequisites: analysis 1,2, linear algebra.

Starting date: Winter semester 2019/2020 or later.

Supervision: Jean-Marc Schlenker.

Prerequisites: basic notions of algebra and geometry. Available for 6th semester BA students.

Starting date: Winter semester 2019/2020 or later.

Supervision: Jean-Marc Schlenker, NN.

Prerequisites: basic notions of abstract and linear algebra.

Starting date: Winter semester 2019/2020 or later.