O Curso de Doutorado tem sua estrutura calcada em disciplinas semestrais de Pós-Graduação, Seminários, Exames de Qualificação e Tese de Doutorado. Além das disciplinas cursadas no 1º ano do curso, o aluno deverá no 2º ano do curso cursar 2 disciplinas de doutorado (com 60 horas de aula cada) e 2 disciplinas de Seminários de Doutorado (com 15 horas de aula cada). Assim, ele totalizará nesse 2º ano letivo 120 horas de aula em disciplinas e 30 horas em Seminários. Agregando com o total do 1º ano letivo, chega-se ao total geral de um mínimo de 450 horas de aula em disciplinas regulares e 50 horas de aula em Seminários. Students with a Master’s degree from another programme may be exempt from certain subjects if equivalence with subjects already taken in their original programmes can be demonstrated.

Continuation in the doctoral programme also requires good performance in the 1st- and 2nd-year subjects. Students who hold a Master’s degree from another postgraduate programme and have been exempted from certain subjects must still complete at least 104 hours in Master’s-level subjects and pass the Master’s Qualification Exam if required to take it.

From that point onwards, students move on to the second year, when they must:

• take two advanced doctoral courses, each with four hours per week (totalling 120 hours);
• carry out two Doctoral Seminars involving the presentation and discussion of articles (bimonthly), each with one hour per week (totalling 30 hours);
• prepare reports on lectures given within the Programme (Master’s Seminars).

During the second year (and after completing the courses), students take the Preliminary Qualification Examination. This exam is oral and covers the content of two doctoral-level subjects from the programme. Passing this exam is decided by an examining board comprising three academic staff members from the Programme and enables doctoral students to continue in the Programme to carry out original research and write a doctoral thesis.

By the end of the third year, students are required to take the Doctoral Qualification Examination. They must prepare a presentation of a research project detailing their thesis proposal, which must be defended before an examining board made up of three academic staff members, at least one of whom must be external to the Programme, and the internal members cannot include the supervisor(s). From the point of passing this Examination, the student will focus on research activities but is still encouraged to continue participating in the Programme’s Seminars.

In the tables below, you will find a summary of the doctoral programme activities, taking into account the student’s choice between the two main research areas of our programme: Statistics and Probability.

* Dependendo do tema de pesquisa do aluno, poderá ser permitido cursar disciplinas eletivas no Programa de Pós-Graduação em Matemática da UFRJ que sejam consideradas importantes na sua formação básica. Citamos como exemplos: teoria da medida, análise funcional, teoria espectral e equações diferenciais parciais.