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Graduate Program

The graduate program, whose typical duration is four years, will consist of up to two years of courses followed by up to two years of thesis preparation with possible advanced coursework. Taking into account the desired mobility of both graduate students and researchers, students are expected to spend two years in each country. In a typical program, the student would spend his/her first year in Lisbon, the second and third years at UT- Austin and the fourth year in Lisbon. Other arrangements would be possible upon agreement of the supervising committees.

A student may apply to LUTAMath if he/she meets one of the following conditions:

  • Has concluded the “primeiro ciclo” in mathematics or any collateral area, with a minimum of 35 ECTS in mathematics, in any European university in accordance with the “Bolonha Process”, and the equivalent of 60 ECTS in a “segundo ciclo” in mathematics or collateral area
  • Has the equivalent to the previous points in the context of the UT-Austin curricula, namely, a degree in mathematics or collateral area, like physics or engineering
  • Has other degrees that are considered equivalent

Applicants should submit three letters of recommendation, the results of TOEFL and GRE general and subject tests, and their transcripts to both the UT-Austin and the Portuguese selection committees. A student will be accepted into the program if he/she meets the requirements of both committees. In this case, the student will be assigned an advisor from the Portuguese team and one from UT-Austin. These need not be the student’s future scientific advisors, but will be a “tutor” who will follow the student’s progress and will provide guidance within the first years of the program and should be encouraged to be completely independent from the future doctoral supervisors.

In the first year, the student, if in Portugal, will be enrolled in about 5 courses, totaling 60 credits (ECTS) at the Portuguese Universities. These courses, taught in English, will be selected from among those available at the graduate level by the student under the supervision of his/her Portuguese practical advisor. Possible examples of admissible courses, whose syllabus are to be accepted by the faculty of UTA’s Mathematics Department, are functional analysis, ordinary and partial differential equations, measure and integration and numerical analysis. During the first year, if in Portugal, students may also have access to UT-Austin courses through teleconferences.

The courses completed in Year 1 will be considered towards the requirements of the UT-Austin Master of Science Degree as well as the Portuguese degree of “Mestre em Matemática” or other academic diplomas, awarded by the Portuguese Universities.

During the second year the student will attend courses at UT-Austin under the guidance of his/her UT-Austin practical advisor. The syllabus of these courses should be accepted by the Portuguese team. By the end of this second year, the student should have acquired a level of knowledge that will enable him/her to begin research work. This basic knowledge will be tested no later than the beginning of the third year by means of a qualifying exam.

The student will now be in a position to select a scientific advisor from UT-Austin and one from the participating Portuguese university. If different from the practical advisor(s), the latter cease(s) his (their) functions. The student will spend up to two years at UT-Austin working on his/her PhD dissertation under the supervision of his/her UT-Austin scientific advisor. During his/her stay at UT-Austin the student will be eligible to be a teaching assistant. To this extent, he/she will be required to attend the International Teaching Assistant’s Workshop at the Mathematics Department and pass the corresponding ITA test.

Since one of the main goals of the UT-Austin/Portugal Mathematics Program is to reinforce research interactions between Portuguese and UT-Austin faculty, one of the advisors could join his/her student at Lisbon or UT-Austin for a period of up to a semester’s length in order to engage in a research collaboration with his/her Lisbon or UT-Austin colleagues. Short-term visits of the advisors to Portugal and to Austin are also be encouraged.

The student’s progress will be reviewed annually by a UT-Austin Committee and a Portuguese counterpart. Under exceptional conditions, the program can be extended for a sixth year, if recommended by both scientific advisors.

Each of the three Portuguese Institutions will, in turn, be in charge of student registration, records and other secretarial work, including Internet support, for a period of three years. A student enrolled in this program will be considered a graduate student of both UT-Austin and the Portuguese Universities. The student will be provided with office space and will have access to the libraries, computer facilities at all of the participating schools. In recognition of completion of the course of studies, the aforementioned Universities will confer on the student two degrees in Mathematics: A PhD in Mathematics conferred by UT- Austin and a “Doutor em Matemática” conferred by the Portuguese Universities in association (joint degree), in the terms of article 42º of “Decreto-Lei” 74/2006 of March 24.

Resources and Measure of Success

An effort will be made to recruit and attract international students to the UT-Austin Portugal Mathematics Program by publicizing it appropriately. In order for such a program to be viable, it is necessary that scholarships be made available for the selected students covering up to 4-years of studies in Portugal and in the USA.

The number of students in the program should be proportional to the number of UT- Austin and Portuguese faculty involved. Taking this into account, it is expected to have in all years of the program about 15 to 20 students enrolled. It is believed that additional faculty will join the program, so that, at a later stage, around 25 students will be enrolled. In any case, the number of students under UTAustin’s advisory guidance will be, at most, one- half of the total number of students in the collaborative program.

In accordance with the previously listed goals, financial aid should also be secured to allow for short-term visits of the scientific advisors. The advantages of these visits are twofold. On the one hand, they enable a closer monitoring of the student’s progress by both advisors simultaneously and, on the other hand, they reinforce the scientific ties between the researchers. Similarly, in order to have a successful post-doc and junior faculty exchange program financial, partial funding will be provided in order to enable a reduced teaching load. Between one to two exchange positions per year are expected. Additionally, adequate funding for the workshops will also be important for at least one small workshop per year.

It is crucial that the teaching and administrative duties of the Portuguese involved in this program match those of their UT-Austin counterparts. Therefore, it is suggested that the teaching load of these participating faculty, during their visits to UT-Austin be half of the norm and concentrated in one semester. The financing of the program will reimburse the Portuguese universities accordingly.

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