LISMATH
Lisbon Mathematics PhD

PhD level courses

1st semester

2nd semester

Master's level courses

1st semester

2nd semester

2017/18 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.

M and M/D courses that will be offered by FCUL in the first semester of 2018/19 are listed here.

PhD level courses

1st semester

Differential Equations and Dynamical Systems / Mathematical Analysis
  • Ordinary and Functional Differential Equations. Teresa Faria/Carlota Gonçalves.
Algebra and Topology / Algebra
  • Differential Topology. João Pimentel Nunes.
  • Inverse Semigroups. Gracinda Gomes.
  • Singularity Theory. Orlando Neto.
  • Theory of Matrices. Fernando Conceição e Silva.
Geometry / Geometry and Topology
  • Lie Groups and Lie Algebras. Gustavo Granja.
  • Algebraic Topology (M/D). Teresa Monteiro Fernandes.
Mathematical Physics / Mathematical Physics
  • Functional Integration and Applications to Quantum Mechanics. José Mourão.
  • Mathematical Methods in Physics (M/D). Nicolas Van Goethem.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Algebras of Operators. Maria Amélia Bastos.
  • Topics in Operator Theory: Riemann-Hilbert problems. Maria Cristina Câmara.
Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
  • Stochastic Calculus. Ana Bela Cruzeiro.
  • Numerical Methods for Ordinary Differential Equations. Pedro Lima.
  • Mathematical and Numerical Methods in Fluid Dynamics. Ana Leonor Silvestre.
Logic and Computation / Logic and Computation
  • Kleistic Logic. Carlos Caleiro.
  • Computability and Complexity of Learning. José Félix Costa.
  • Modal Logic. João Rasga.
  • Theory of Computability, Complexity and Information. Cristina Sernadas.
  • Advanced Topics in Information Security I. Paulo Mateus.
  • Model Theory. Mário Edmundo.

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.
  • Ergodic Theory and Hyperbolic Dynamics. Luís Barreira.
  • Partial Differential Equations (M/D). Hugo Tavares.
  • Ergodic Theory (M/D). Pedro Duarte.
Algebra and Topology / Algebra
  • Category Theory. Michael Paluch.
  • Rings, Algebras and Representations (M/D). Carlos André.
  • Semigroups, Automata and Languages (M/D). Gracinda Gomes.
  • Combinatorics (M/D). Luís Gouveia/Maria Manuel Torres.
Geometry / Geometry and Topology
  • Symplectic Geometry. Leonardo Macarini.
  • Knot Theory. Pedro Lopes.
  • Theory of D-modules and Symplectic Geometry. Teresa Monteiro Fernandes.
  • Riemannian Geometry (M/D). Susana Santos.
Mathematical Physics / Mathematical Physics
  • String Theory. Gabriel Lopes Cardoso.
  • Geometry and Gauge Theory. Roger Picken.
  • Probability in Quantum Mechanics. Jean-Claude Zambrini.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Topics in Operator Algebras. Pedro Alexandre dos Santos.
  • Biomathematics (M/D). Nico Stollenwerk.
Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
  • Inverse Problems for Differential Equations and Medical Imaging. Carlos Alves.
Logic and Computation / Logic and Computation
  • Quantum Computation, Information and Logic. Yasser Omar.

Master's level courses

1st semester

Differential Equations and Dynamical Systems / Mathematical Analysis
  • Ordinary Differential Equations. Henrique Oliveira.
Algebra and Topology / Algebra
  • Foundations of Algebra. Pedro Ferreira dos Santos.
  • Algebra, Fernando Conceição e Silva.
Geometry / Geometry and Topology
  • Riemannian Geometry. Pedro Girão.
  • Differential Geometry. Sílvia Anjos.
  • Differentiable Manifolds. Carlos Florentino.
Mathematical Physics / Mathematical Physics
  • Renormalization Group. Gabriel Lopes Cardoso.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Foundations of Topology and Real Analysis. Catarina Carvalho.
  • Complex Analysis. Paulo Lopes.
  • Functional Analysis. Luís Sanchez.
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. Ana Bela Cruzeiro.
  • Dynamical Systems Theory. Claudia Valls.
Algebra and Topology / Algebra
  • Combinatorics and Coding Theory. Pedro Martins Rodrigues.
  • Complements of Algebra. Maria Vaz Pinto.
  • Algebraic Topology. Pedro Boavida de Brito.
Geometry / Geometry and Topology
  • Riemann Surfaces and Algebraic Curves. Leonardo Macarini.
Mathematical Physics / Mathematical Physics
  • Mathematical Relativity. Pedro Girão.
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.
Logic and Computation / Logic and Computation
  • Cryptography and Security Protocols. Paulo Mateus.

You may also access the 2014/15, 2015/16 and 2016/17 course lists.