LISMATH
Lisbon Mathematics PhD

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PhD level courses

1st semester

2nd semester

Master's level courses

1st semester

2nd semester

2016/17 Course Lists

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

The (M/D) courses are offered by FCUL at two levels,  Master's and PhD level .

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
  • Inverse Semigroups. Gracinda Gomes.
  • Theory of Matrices. Ferrnando Conceição e Silva.
  • Multilinear Algebra (M/D). Maria Manuel Torres.
Geometry / Geometry and Topology
  • Differential Topology (M/D). Pedro Duarte.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Algebras of Operators. Maria Amélia Bastos.
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.
  • Discrete Dynamical Systems. João Alves.
  • Partial Differential Equations (M/D). José Francisco Rodrigues/Hugo Tavares.
  • Differential Equations and Dynamical Systems (M/D). Jorge Buescu.
Algebra and Topology / Algebra
  • Rings, Algebras and Representations (M/D). Carlos André.
Geometry / Geometry and Topology
  • Algebraic Geometry. Pedro Ferreira dos Santos.
  • Knot Theory. Pedro Lopes.
  • Theory of D-modules and Symplectic Geometry. Teresa Monteiro Fernandes.
  • Lie Groups and Lie Algebras (M/D). Susana Santos.
Mathematical Physics / Mathematical Physics
  • Mathematical Relativity. Pedro Girão.
  • String Theory. Gabriel Lopes Cardoso.
  • Probabliity 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.
Logic and Computation / Logic and Computation
  • Quantum Computation, Information and Logic. Yasser Omar.
  • Mathematical Logic (M/D). Fernando Ferreira.

Master's level courses

1st semester

Differential Equations and Dynamical Systems / Mathematical Analysis
  • Ordinary Differential Equations. Henrique Oliveira.
  • Geometric Mechanics. José Natário.
Algebra and Topology / Algebra
  • Foundations of Algebra. Pedro Ferreira dos Santos.
Geometry / Geometry and Topology
  • Riemannian Geometry. Pedro Girão.
  • Differential Geometry. Sílvia Anjos.
  • Differentiable Manifolds. Carlos Florentino.
Real Analysis and Functional Analysis / Mathematical Analysis
  • Foundations of Topology and Real Analysis. Catarina Carvalho.
  • Complex Analysis. Luís Pessoa.
  • Functional Analysis. Luís Sanchez.
Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
  • Numerical Analysis. Juha Videman.
  • Numerical Functional Analysis and Optimization. Juha Videman.
  • Mathematical Modelling and Applications. Juha Videman.
  • 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.
Algebra and Topology / Algebra
  • Combinatorics and Coding Theory. Joana Ventura.
  • Complements of Algebra. Maria Vaz Pinto.
  • Algebraic Topology. Gustavo Granja.
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 and 2015/16 course lists.