Doctoral Program in Mathematics 2015/16: List of PhD Courses at IST IST 1 Semester Area PhD Course Lecturer Evolution Partial Differential Equations João Teixeira Pinto Differential Topology João Pimentel Nunes Lie Groups and Lie Algebras Pedro Resende Functional Integration and Applications to Quantum Mechanics Ana Bela Cruzeiro Algebras of Operators Amélia Bastos Numerical Methods for Ordinary Differential Equations Pedro Lima Advanced Topics in Information Security I Paulo Mateus Differential Equations and Dynamical Systems Algebra and Topology Geometry Mathematical Physics Real Analysis and Functional Analysis Numerical Analysis and Applied Analysis Logic and Computation Doctoral Program in Mathematics 2015/16: List of PhD Courses at IST IST 2 Semester Area PhD Course Lecturer Calculus of Variations and Partial Differential Equations Bifurcation Theory in Differential Equations Margarida Baía Henrique Oliveira Category Theory Michael Paluch Algebraic Geometry Knot Theory Pedro Ferreira dos Santos Pedro Lopes Geometry and Gauge Theory Roger Picken Topics in Operator Algebras Pedro Alexandre Simões dos Santos Inverse Problems for Differential Equations and Medical Imaging Carlos Alves Differential Equations and Dynamical Systems Algebra and Topology Geometry Mathematical Physics Real Analysis and Functional Analysis Numerical Analysis and Applied Analysis Logic and Computation