LISMATH
Lisbon Mathematics PhD

PhD level courses

1st semester

2nd semester

Master's level courses

1st semester

2nd semester

2015/16 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.
  • Mathematical Theory of Elasticity. Nicolas Van Goethen.
Algebra and Topology / Algebra
  • Differential Topology. João Pimentel Nunes.
  • Inverse Semigroups. Gracinda Gomes.
Geometry / Geometry and Topology
  • Lie Groups and Lie Algebras. Pedro Resende.
Mathematical Physics / Mathematical Physics
  • Functional Integration and Applications to Quantum Mechanics. Ana Bela Cruzeiro.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Algebras of Operators. Maria Amélia Bastos.
Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
  • Numerical Methods for Ordinary Differential Equations. Pedro Lima.
Logic and Computation / Logic and Computation
  • Advanced Topics in Information Security I. Paulo Mateus.

2nd semester

Differential Equations and Dynamical Systems / Mathematical Analysis
  • Calculus of Variations and Partial Differential Equations. Margarida Baía.
  • Bifurcation Theory in Differential Equations. Henrique Oliveira.
Algebra and Topology / Algebra
  • Category Theory. Michael Paluch.
Geometry / Geometry and Topology
  • Algebraic Geometry. Pedro Ferreira dos Santos.
  • Knot Theory. Pedro Lopes.
  • Theory of D-modules and Symplectic Geometry. Teresa Monteiro Fernandes.
Mathematical Physics / Mathematical Physics
  • Geometry and Gauge Theory. Roger Picken.
  • Probabliity in Quantum Mechanics. Jean-Claude Zambrini.
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.

Master's level courses

1st semester

Differential Equations and Dynamical Systems / Mathematical Analysis
  • Ordinary Differential Equations. Pedro Martins Rodrigues.
  • Geometric Mechanics. José Natário.
  • Ergodic Theory (M/D). Pedro Miguel Duarte.
Algebra and Topology / Algebra
  • Foundations of Algebra. Joana Ventura.
  • Algebra. Carlos André.
  • Semigroups, Automata and Languages (M/D). Gracinda Gomes.
Geometry / Geometry and Topology
  • Riemannian Geometry. João Pimentel Nunes.
  • Differentiable Manifolds. Teresa Monteiro Fernandes.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Foundations of Topology and Real Analysis. Catarina Carvalho.
  • Complex Analysis. Carlos Florentino.
  • Functional Analysis. Teresa Faria.
  • Biomathematics (M/D). 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. Carlos Alves.
  • 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.
  • Partial Differential Equations (M/D). José Francisco Rodrigues.
Algebra and Topology / Algebra
  • Combinatorics and Coding Theory. Joana Ventura.
  • Algebraic Topology. Pedro Lopes.
  • Rings, Algebras and Representations (M/D). Carlos André.
Geometry / Geometry and Topology
  • Algebraic Topology (M/D). Carlos Florentino.
  • Riemannian Geometry (M/D). Maria João Pablo.
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. Adélia Sequeira.
  • Numerical Analysis of Differential Equations (M/D). Anca Maria Toader.
Logic and Computation / Logic and Computation
  • Cryptography and Security Protocols. Paulo Mateus.

You may also access the 2014/15 course lists.