2018/19 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
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- Infinite Dimensional Dynamical Systems. Luís Barreira.
- Dynamical Systems (M/D). Pedro Duarte.
- Ordinary and Functional Differential Equations. Teresa Faria/Carlota Gonçalves.
- Evolution PDEs/Problems (M/D). José Francisco Rodrigues.
- Algebra and Topology / Algebra
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- Homotopy Theory. Pedro Boavida.
- Inverse Semigroups. Gracinda Cunha.
- Theory of Matrices. Fernando Silva.
- Representation Theory of Groups. Carlos André.
- Universal Algebra (M/D). Maria João Gouveia.
- Geometry / Geometry and Topology
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- Differential Geometry. Sílvia Anjos.
- Lie Groups and Lie Algebras. Gustavo Granja.
- Introduction to Algebraic Geometry (M/D). Carlos André.
- Mathematical Physics / Mathematical Physics
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- Feynman Integral and Applications. José Mourão.
- Real Analysis and Functional Analysis / Mathematical Analysis
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- 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
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- Mathematical and Numerical Methods in Fluid Dynamics. Ana Leonor Silvestre.
- Logic and Computation / Logic and Computation
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- Functional Logic and Proof Theory. 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.
2nd semester
- Differential Equations and Dynamical Systems / Mathematical Analysis
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- Calculus of Variations and Partial Differential Equations. José Matias.
- Discrete Dynamical Systems. Pedro Martins Rodrigues.
- Ergodic Theory and Hyperbolic Dynamics. Luís Barreira.
- Partial Differential Equations. Hugo Tavares.
- Stochastic Analysis. Jean-Claude Zambrini.
- Calculus of Variations (M/D). José Francisco Rodrigues.
- Algebra and Topology / Algebra
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- Theory of Algebraic Numbers (M/D). Carlos André.
- Geometry / Geometry and Topology
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- Symplectic Geometry. Leonardo Macarini.
- Lie Groups and Lie Algebras (M/D). Susana Santos.
- Differential Topology (M/D). Pedro Duarte.
- Mathematical Physics / Mathematical Physics
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- String Theory. Gabriel Lopes Cardoso.
- Mathematical Relativity. Pedro Girão.
- Topics in Mathematical Physics. Davide Masoero.
- Introduction to Random Matrix Theory. Miguel Tierz.
- Real Analysis and Functional Analysis / Mathematical Analysis
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- Topics in Operator Algebras: Normed Jordan Algebras. Lina Oliveira.
- Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
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- Inverse Problems for Differential Equations and Medical Imaging. Carlos Alves.
- Logic and Computation / Logic and Computation
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- Mathematical Logic (M/D). Mário Edmundo.
Master's level courses
1st semester
- Differential Equations and Dynamical Systems / Mathematical Analysis
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- Ordinary Differential Equations. Maria João Borges.
- Geometric Mechanics. José Natário.
- Ordinary Differential Equations. Teresa Faria.
- Algebra and Topology / Algebra
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- Foundations of Algebra. Pedro Ferreira dos Santos.
- Algebra. Fernando Conceição e Silva.
- Geometry / Geometry and Topology
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- Riemannian Geometry. Rosa Sena-Dias.
- Differentiable Manifolds. Pedro Duarte.
- Mathematical Physics / Mathematical Physics
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- Mathematical Quantum Mechanics. Ricardo Schiappa.
- Real Analysis and Functional Analysis / Mathematical Analysis
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- 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
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- Numerical Analysis. Carlos Alves.
- 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
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- 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
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- Partial Differential Equations. Ana Bela Cruzeiro.
- Dynamical Systems Theory. Luís Barreira.
- Algebra and Topology / Algebra
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- Combinatorics and Coding Theory. Pedro Martins Rodrigues.
- Algebraic Topology. Gustavo Granja.
- Geometry / Geometry and Topology
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- Riiemann Surfaces and Algebraic Curves. Leonardo Macarini.
- Real Analysis and Functional Analysis / Mathematical Analysis
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- Functional Analysis. Amarino Lebre/Helena Mascarenhas.
- Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
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- Numerical Analysis of Partial Differential Equations. Adélia Sequeira.
- Logic and Computation / Logic and Computation
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- Cryptography and Security Protocols. Paulo Mateus.
You may also access the 2014/15, 2015/16, 2016/17 and 2017/18 course lists.