A candidate is eligible for this program if he/she has current research interests in one of the following areas:
  • Partial Differential Equations/ Calculus of Variations;
  • Probability, Stochastic Analysis and their applications.

and meets the following requirements regarding curriculum.


Completion of the first cycle of university studies with 35 ECTS credits in Mathematics, and the equivalent of 60 ECTS in a second cycle in Mathematics, Physics or Engineering, in any European university organized according to the Bologna agreement.

Any other degree considered equivalent by the Admissions Committees.


Admitted students will be financially supported by the Portuguese Government through FCT ("Fundação para a Ciência e a Tecnologia") and the ICTI. In particular, tuition (in Portugal and at CMU), living expenses and airline tickets for trips considered relevant for the program, will be paid.

VISA Requirements for Portugal

Under European Community regulations and other agreements signed by the Portuguese Government, selected candidates who are either:

1) Citizens of a European Union State, Iceland, Norway, Switzerland or Liechtenstein;
2) Citizens of any other country, but having a residence permit in Portugal do not need a VISA for Portugal. Portuguese Immigration law requires that these candidates register at SEF (“Serviço de Estrangeiros e Fronteiras”) or at the local council of their future place of residence in Portugal, upon arrival.

All other selected candidates will need to apply for a Residence VISA at the nearest Portuguese Consulate. The Residence VISA, valid for four months, will allow them entrance in Portugal. These candidates must obtain a Resident Permit at SEF upon arrival. This Residence Permit will allow the student to travel freely inside the Shengen space, is valid for one year and renewable for periods of two years.

The Portuguese Admissions Committee will assist the candidate in this process by providing the documents necessary for issuing the Residence VISA and the Residence Permit.

VISA Requirements for CMU

Selected candidates will be assisted through the process of obtaining the necessary VISA by the Department of Mathematical Sciences and the Office of International Education at CMU. For further information, please see Office of International Education at CMU.


Candidates must submit two applications:

  • Application for Admission in the Program;
  • Application for Financial Aid.

Application for Admission in the Program

Review of applications will begin on January 15, 2011, and will continue till the positions are filled.

The following documents are required:

  1. Three (3) letters of recommendation in English;
  2. Transcripts of grades (with an English translation);
  3. CMU Graduate Mathematics application form (under "Degree that you seek", there is a link to this program)
  4. TOEFL results;
  5. Mathematics GRE results;
  6. General GRE results;

Information on TOEFL exam dates may be found at see
www.ets.org (availability to be confirmed, registration required).

Test centers to search for appointments and dates for GMAT exam:
Galileu, Lisbon / CESAE, Porto. Further information on GMAT can be found
at www.mba.com and on TOEFL and GRE at www.ets.org.

Address for submission:
ICTI CMU-Portugal Program in Applied Mathematics
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213 USA

Application for Financial Aid

Candidates must apply to the FCT for a scholarship that will grant them financial aid throughout the program. Information about this application will be available shortly in this web page.