# Example course selections

Here are a few examples of course selections for your studies. Please note that they are only examples to give you an idea of what a good selection could look like. Your final selection may look very different. Particularly for the two courses in the broadening block.

**Example of an analysis profile with courses in probability. **

Mandatory Block |
Profile Block |
Broadening block |

Topology | Advanced Real Analysis II | Mathematical Communication |

Advanced Real Analysis I | Fourier Analysis | Theory of Science |

Number Theory | Partial Differential Equations | Probability Theory |

Commutative Algebra and Algebraic Geometry | Chaotic Dynamical Systems | Stochastic Processes and Martingales |

**Example of a profile in discrete Mathematics **

Mandatory Block |
Profile Block |
Broadening block |

Topology | Graph Theory | Mathematical Communication |

Advanced Real Analysis I | Number Theory | Theory of Science |

Enumerative Combinatorics | Representation theory for finite groups | Foundations of Cryptography |

Commutative Algebra and Algebraic Geometry | Fourier analysis | Homological Algebra and Algebraic Topology |

Example of a profile in Geometry or Topology

Mandatory Block |
Profile Block |
Broadening block |

Topology | Differential Geometry | Mathematical Communication |

Advanced Real Analysis I | Homological Algebra and Algebraic Topology | Theory of Science |

Number Theory | Galois theory | Pattern Recognition and Machine Learning |

Commutative Algebra and Algebraic Geometry | Representation theory for finite groups |
Chaotical Dynamical systems |

Example of a profile in Logic

Mandatory Block |
Profile Block |
Broadening block |

Topology | Logic II | Mathematical Communication |

Advanced Real Analysis I | Set Theory | Theory of Science |

Number Theory | Type Theory | Logic for Computer Science and AI |

Commutative Algebra and Algebraic Geometry | Proof Theory | Complexity Theory |