2014/15 Course Lists

In the lists below black items refer to the IST campus, blue items refer to the FCUL campus.

Some of the courses offered by FCUL at the Master's level may qualify as PhD courses. They are marked with a (M/D) label.

PhD level courses

1st semester

Differential Equations and Dynamical Systems / Mathematical Analysis

• Evolution Partial Differential Equations. João Teixeira Pinto.

Geometry / Geometry and Topology

• Lie Groups and Lie Algebras. Carlos Florentino.
• Theory of D-modules and Symplectic Geometry. Teresa Monteiro Fernandes.

Mathematical Physics / Mathematical Physics

• Functional Integration and Applications to Quantum Mechanics. Ana Bela Cruzeiro.
• Mathematical Methods in Continuum Mechanics. Anca Maria Toader.

Real Analysis and Functional Analysis / Mathematical Analysis

• Algebras of Operators. Maria Amélia Bastos.

Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis

• Numerical Analysis of Integral Equations. Teresa Diogo.
• Topics in Numerical and Applied Analysis. Juha Videman.
• Mathematical and Numerical Methods in Fluid Dynamics. Ana Leonor Silvestre.

Logic and Computation / Logic and Computation

• Computability and Complexity of Learning. José Félix Costa.
• Kleistic Logic. Carlos Caleiro.
• Modal Logic. João Rasga.
• Theory of Computability, Complexity and Information. Amílcar Sernadas.
• Advanced Topics in Information Security I. Paulo Mateus.
• Model Theory. Alex Usvyatsov.

2nd semester

Differential Equations and Dynamical Systems / Mathematical Analysis

• Calculus of Variations and Partial Differential Equations. José Matias.
• Bifurcation Theory in Differential Equations. Carlos Rocha.
• Ordinary and Functional Differential Equations. Teresa Faria e Carlota Gonçalves.
• Hamiltonian Systems. Carlota Gonçalves e Alessandro Margheri.

Algebra and Topology / Algebra

• Inverse Semigroups. Gracinda Gomes.
• Representation Theory of Groups. Carlos André.

Geometry / Geometry and Topology

• Algebraic Geometry. Pedro Ferreira dos Santos.
• Knot Theory. Pedro Lopes.
• Symplectic Geometry. Miguel Abreu.

Mathematical Physics / Mathematical Physics

• String Theory. Gabriel Lopes Cardoso.
• Probabliity in Quantum Mechanics. Jean-Claude Zambrini.
• Introduction to Asymptotic Analysis. Davide Masoero.

Real Analysis and Functional Analysis / Mathematical Analysis

• Topics in Operator Algebras. Pedro Alexandre Simões dos Santos.

Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis

• Inverse Problems for Differential Equations and Medical Imaging. Carlos Alves.
• Stochastic Calculus. Rémi Lassalle.

Logic and Computation / Logic and Computation

• Quantum Computation, Information and Logic. Paulo Mateus.
• Functional Logic and Proof Theory. Carlos Caleiro.
• Topics in Mathematical Logic. Fernando Ferreira.

Master's level courses

1st semester

Differential Equations and Dynamical Systems / Mathematical Analysis

• Ordinary Differential Equations. Pedro Martins Rodrigues.

Algebra and Topology / Algebra

• Foundations of Algebra. Joana Ventura.
• Commutative Algebra. Fernando Conceição Silva.

Geometry / Geometry and Topology

• Riemannian Geometry. João Pimentel Nunes.
• Differencial Geometry. Miguel Abreu.
• Riemannian Geometry (M/D). Maria João Pablo Ferreira.

Real Analysis and Functional Analysis / Mathematical Analysis

• Foundations of Topology and Real Analysis. Catarina Carvalho.
• Complex Analysis. Carlos Florentino.
• Functional Analysis. João Paulo Carvalho Dias.
• Mathematical Methods in Physics. Carlota Gonçalves.
• Biomathematics. Nico Stollenwerk.

Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis

• Numerical Analysis. Carlos Alves.
• Numerical Functional Analysis and Optimization. Carlos Alves.
• Mathematical Modelling and Applications. Ana Leonor Silvestre.
• Mathematical Models in Biomedicine. Adélia Sequeira.

Logic and Computation / Logic and Computation

• Computability and Complexity. José Félix Costa.
• Foundations of Logic and Theory of Computation. Cristina Sernadas.
• Logic and Model Checking. Paulo Mateus.

2nd semester

Differential Equations and Dynamical Systems / Mathematical Analysis

• Partial Differential Equations. João Paulo Teixeira.
• Dynamical Systems Theory. Luís Barreira.
• Partial Differential Equations (M/D). José Francisco Rodrigues.
• Differential Equations and Dynamical Systems (M/D). Jorge Buescu.

Algebra and Topology / Algebra

• Combinatorics and Coding Theory. Joana Ventura.
• Complements of Algebra. Maria Vaz Pinto.
• Algebraic Topology. Pedro Lopes.
• Groups and Representation Theory (M/D). Fernando Conceição e Silva.

Geometry / Geometry and Topology

• Differentiable Manifolds. Teresa Monteiro Fernandes.
• Introduction to Algebraic Geometry (M/D). Pedro Ferreira dos Santos.

Mathematical Physics / Mathematical Physics

• Mathematical Relativity. José Natário.

Real Analysis and Functional Analysis / Mathematical Analysis

• Functional Analysis. Amarino Lebre.

Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis

• Numerical Analysis of Partial Differential Equations. Carlos Alves.

Logic and Computation / Logic and Computation

• Cryptography and Security Protocols. Paulo Mateus.