This PhD prepares students to carry research worthy of publication in scientific journals with a strong peer-review system. It aims to develop the skills to devise and implement new mathematical tools and models with applications in the fields of Economics, Management, and Finance.
The teaching and research team of the Programme covers a wide range of fields, including, Actuarial Science, Dynamical Systems, Econometrics, Mathematical Analysis, Mathematical Finance, Operations Research, Probability and Stochastic Processes, and Statistics and Time Series. On completion of the degree, the graduates are expected to:
Applicants for the School’s PhDs can apply for a variety of scholarships, namely FCT scholarships (granted by FCT or by ISEG research centres) and, in some cases, ULisboa scholarships. The criteria, rules and regulations for applying for scholarships are detailed on our website.
The FCT awards scholarships to doctoral students, allowing them to devote themselves to research in all areas of knowledge. More information at www.fct.pt.
In some cases, PhD students can be enrolled in projects hosted by the research centres or be supported by them. For further information, contact the PhD coordinator.
The PhD Programme in MAEG (Applied Mathematics for Economics and Management) is designed to meet the needs of those who wish to acquire advanced knowledge in branches of Mathematics with applications to Economics or Management, or wish to develop the skills necessary for the design and implementation of mathematical methods and techniques to solve problems in Economics, Management, or Finance.
This Programme is designed for students who wish to follow an academic or research career, as well as students wishing to pursue a specialist career in industry or regulators, namely in the sectors of Banking, Finance, Insurance, or any other economic activity requiring the use of advanced mathematical models and methods.
This PhD takes a minimum of three years to complete. The first year consists of coursework, seminars, and preparation, presentation, and viva voce defence of a thesis research project. The remaining time of the Programme is dedicated to research, which culminates in the elaboration and defence of an original research thesis.
The Programme’s teaching and working language is English.
| Year 1 – Semester 1 | Professor | Credits |
|---|---|---|
| Advanced Topics in Econometrics* | Paulo Parente | 10.0 |
| Advanced Topics in Operations Research* | Cristina Requejo | 10.0 |
| Advanced Topics in Statistics* | Rui Paulo Manuel Guerra | 10.0 |
| Analysis and Computation* | João Janela | 10.0 |
| Elective | – | 6.0 |
| Seminar I | Cristina Requejo | 4.0 |
*The Scientific Committee of the PhD chooses two out of these four course units for each student
| Year 1 – Semester 2 | Professor | Credits |
|---|---|---|
| Elective | – | 6.0 |
| Preparation of the Thesis Project | Paulo Parente | 24.0 |
| Year 2 | Credits |
|---|---|
| Thesis Research | 60 |
| Year 3 | Credits |
|---|---|
| Thesis Research | 60 |
| Electives* | Professor | Credits | Semester |
|---|---|---|---|
| Econometric Methods for Finance | João Nicolau | 6 | 1 or 2 |
| Bayesian Econometrics | Rui Paulo | 6 | 1 or 2 |
| Stochastic Differential Equations and Applications | Nuno Brites | 6 | 1 or 2 |
| Integer Programming and Combinatorial Optimization | Cristina Requejo | 6 | 1 or 2 |
| Computational Tools for Actuaries | Nuno Brites | 4 | 1 |
| Decision Making and Optimization | Cristina Requejo | 6 | 1 |
| Mathematical Economics | Alexandre Rodrigues | 6 | 1 |
| Applied Macroeconometrics | Paulo Marques Rodrigues | 6 | 1 |
| Mathematical Methods in Finance | Carlos Oliveira | 6 | 1 |
| Pension Funds | Daniela Pateiro Pires | 6 | 1 |
| Probability and Stochastic Processes | Alexandra Moura | 6 | 1 |
| Stochastic Finance in Continuous Time | Pieter Spreij | 6 | 1 |
| Programming Techniques | Ivo Tavares | 6 | 1 |
| Stochastic Calculus | João Janela | 6 | 2 |
| Financial Time Series | Nuno Sobreira | 6 | 2 |
| Machine Learning and Data Mining | João Bastos | 6 | 2 |
| Computational Mathematics | João Janela | 6 | 2 |
| Programming for Data Science | Carlos Costa | 6 | 2 |
| Risk Theory | Carlos Oliveira | 8 | 2 |
| Survival Models and Life Contingencies | Onofre Simões | 8 | 2 |
| Time Series | Nuno Sobreira | 6 | 2 |
* Other electives may be selected according to the student’s interests, conditional on availability and approval by the Scientific Committee.
See the description of each Curricular Units here.
The entry requirements are a Master’s or BSc degree (with a curriculum of four years or more) in Mathematics, Statistics, Economics, Finance, Management, Physics, or Engineering.
The degree syllabus and the grade obtained must provide evidence that the applicant has a strong background in Mathematics.
Applicants who have not yet completed their degree may be accepted conditionally if they expect to do so before the start of the programme. Applicants who do not hold any of the degrees listed above may also be eligible for admission, provided that the curriculum is deemed suitable for the programme.
These are provisional tuition fees for 2026/27, subject to confirmation by the Universidade de Lisboa statutory bodies.
| Students from | 1st Year | Folowing years |
| Within the European Union | € 3,500 | € 2,000 |
| Outside the European Union | € 4,000 | € 3,000 |
