2019/20 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). Jorge Buescu.
- Partial Differential Equations (M/D). Manuel Marques.
- Algebra and Topology / Algebra
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- Differential Topology. Leonardo Macarini.
- Homotopy Theory. Gustavo Granja.
- Representation Theory of Groups. Carlos André.
- Combinatorics (M/D). Maria Manuel Torres/Luís Gouveia.
- Semigroups, Automata and Languages (M/D). Mário Branco.
- Geometry / Geometry and Topology
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- Differential Geometry. João Pimentel Nunes.
- Mathematical Physics / Mathematical Physics
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- Feynman Integral and Applications. José Mourão.
- Conformal Field Theory. Ricardo Schiappa.
- 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.
- Numerical Methods for Ordinary Differential Equations. Pedro Lima.
- 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.
- Mathematical Logic. Mário Edmundo.
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. João Alves.
- Ergodic Theory and Hyperbolic Dynamics. Luís Barreira.
- Ordinary and Functional Differential Equations. Teresa Faria/Carlota Gonçalves.
- Evolution Problems. José Francisco Rodrigues.
- Ergodic Theory (M/D). Pedro Duarte.
- Algebra and Topology / Algebra
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- Rings, Algebras and Representations (M/D). Carlos André.
- Geometry / Geometry and Topology
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- Symplectic Geometry. Leonardo Macarini.
- Advanced Topics in Geometry. José Natário.
- Riemann Surfaces and Integrable Models. Davide Masoero.
- Riemannian Geometry (M/D). Susana Santos.
- Algebraic Topology (M/D). Orlando Neto.
- Mathematical Physics / Mathematical Physics
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- String Theory. Gabriel Lopes Cardoso.
- Mathematical Relativity. Filipe Mena.
- Probability in Quantum Mechanics. Jean-Claude Zambrini.
- Real Analysis and Functional Analysis / Mathematical Analysis
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- Topics in Operator Algebras: Normed Jordan Algebras. Lina Oliveira.
- Biomathematics (M/D). Carlota Gonçalves/Alessandro Margheri.
- Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
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- Inverse Problems for Differential Equations and Medical Imaging. Carlos Alves.
- Mathematical Methods in Engineering Problems. Carlos Alves.
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.
- Algebra and Topology / Algebra
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- Foundations of Algebra. Maria Vaz Pinto.
- Geometry / Geometry and Topology
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- Riemannian Geometry. Pedro Girão.
- Differentiable Manifolds. Carlos Florentino.
- Mathematical Physics / Mathematical Physics
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- Renormalization Group. Gabriel Lopes Cardoso.
- Mathematical Quantum Mechanics. Ricardo Schiappa.
- Algebraic and Geometric Methods in Engineering and Physics. José Mourão.
- 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. José Francisco Rodrigues.
- 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. Carlos Alves.
- 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. João Paulo Teixeira.
- Dynamical Systems Theory. Luís Barreira.
- Algebra and Topology / Algebra
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- Combinatorics and Coding Theory. Pedro Martins Rodrigues.
- Complements of Algebra. Maria Vaz Pinto.
- Algebraic Topology. Pedro Boavida de Brito.
- Algebra. Fernando Conceição e Silva.
- Real Analysis and Functional Analysis / Mathematical Analysis
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- Functional Analysis. Amarino Lebre.
- Numerical Analysis and Applied Analysis / Numerical Analysis and Applied Analysis
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- Numerical Analysis of Partial Differential Equations. Carlos Alves.
- 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, 2017/18 and 2018/19 course lists.