# Focus on Algebra, Geometry and Number Theory

Mathematics departments at UPC gather several research groups specialized in Number Theory, Algebraic Geometry, Differential Geometry and commutative and non-commutative Algebra. All of them collaborate closely with other researchers of the Universitat de Barcelona and the Universitat Autònoma de Barcelona, and with research groups of some of the most prestigious universities around the world. Many young researchers began their scientific careers by coursing the Master and/or doing the PhD in one of the UPC groups: Ariadna, Biel, Carlos, Enrique, Francesc, Francesc, Marc, María, Martí, Pere-Daniel, Santi, Víctor, Xevi, among others.

A knowledge of some basics in Algebra, Geometry and Number Theory is also very useful for people aimed to work in applications of Mathematics to Cryptography, Coding Theory, Discrete Mathematics, Control Theory, Mathematical Physics, Algorithmics, Biosciences, etc.

Students interested in focusing on Algebra, Geometry and Number Theory are invited to select 45 ECTS from this list:

Commutative Algebra* | MAMME |

Non-Commutative Algebra* | MAMME |

Differentiable Manifolds* | MAMME |

Number Theory* | MAMME |

Algebraic Geometry* |
MAMME |

Geometry and Topology of Varieties | Master in Advanced Mathematics, UB |

Algebraic Curves** | Master in Advanced Mathematics, UB |

Computational Algebra | Master in Advanced Mathematics, UB |

Geometrical Methods in Number Theory | Master in Advanced Mathematics, UB |

Local Algebra | Master in Advanced Mathematics, UB |

A minimum of 3 MAMME courses (22.5 ECTS) is mandatory.

(*) Please check at the Study Program web page if this course is offered in the academic year you are interested in.

(**) This course is not recommended to students who have followed the course "Geometría Algebraica" of *Grau en Matemàtiques* at FME.