Recommended itineraries

The following distribution of courses is recommended.

Annual:

• Methodology in Advanced Mathematics.
• Master’s Final Project. (Registration for the second semester; presentation in July).

First Semester:

• Fourier transform (mandatory)
• 3 optional courses

Second semester:

• 3 optional courses

FOCUS AREAS.

Depending of the focus area of your interest we recommend the following itineraries. These are by no means mandatory; you can choose courses of different itineraries if you prefer. Also, with prior approval from the Coordinating Commission, it is possible to enrol in up to 18 credits in other master’s programs.

Algebra and Number Theory:

• Advanced Number Theory
• Advanced Topics in Algebraic Geometry
• Algebraic Topology
• Algebraic Varieties
• Commutative Algebra
• Representation Theory

Analysis:

• Complex analysis in one and several variables
• Discrete Dynamical Systems
• Functional Analysis and Calculus of Variations
• Harmonic Analysis and Geometric Measure Theory
• PDE
• Probability Theory

Dynamical Systems and Applied Mathematics:

• Complex analysis in one and several variables
• Discrete Dynamical Systems
• Functional Analysis and Calculus of Variations
• PDE
• Probability Theory
• Qualitative Theory of ODE’s and Hamiltonian Systems
• Simulation Methods
• Statistics

Geometry and Topolgy:

• Differential Geometry and Topology
• Riemannian Geometry
• Algebraic Varieties
• Advanced Topics in Algebraic Geometry
• Algebraic Topology

Probability and Statistics:

• Functional Analysis and Calculus of Variations
• PDE
• Probability Theory
• Statistics
• Stochastic Calculus