The curriculum requirements are stablished in the student catalog corresponding to the year of admission.

  • 2014/15: See page 223 here.

  • 2015/16: See page 292 here.

  • 2016/17: See page 326 here.

  • 2017/18: See here: bachelor's entry , advanced entry

  • Current: See here: bachelor's entry , advanced entry


    A PhD student is expected to reach candidacy at some point around their third year in the program. The table below, adapted from the PhD Curriculum Fact Sheet, is a timeline indicating requirements to reach candidacy.

    First Year Second Year Third Year
    2 qualifying exams 2 qualifying exams
    Advisor and 1-page plan 3-page plan 10-page plan and presentation
    8 foundational courses (waive)
    8 advanced courses

    The timeline indicated above is not completely rigid and might be taken as a suggestion. However, there are some strong deadlines. In the first two years, every student is supposed to have found an advisor and submitted their one-page plan as they also should have passed in two qualifying exams. Approval in all qualifying exams is expected by the end of the third year.

    Advanced courses have to be taken, but foundational courses might be waived. The classification of each course can be found in the catalog. To waive a course, the student has to present transcripts as well as a syllabus/course description from the institution where the course was taken, attached to the course substitution form.


    Each student should present three research plans indicating milestones they have reached before obtaining candidacy. Their descritions follows:

    • 1-page Initial Agreement: "The student is expected to write a one page description of mathematics that s/he is planning to work on and the name of professor; a short statement by the professor that there exists an agreement is required." The one page document should include the description by the student and the statement by the professor, and both should sign the document.

    • 3-page Plan of Research: "The problem that the student is planning to work on and the idea of methods for solving it should be described. Again, a short statement by the PhD advisor should be included." The PhD advisor should provide a short separate statement indicating that they approve of the plan of research.

    • 10-page Progress Report and Presentation: "At this point the student should write a 10-page description of the project that s/he is working on, describing the progress that has been made. There will be a one-hour oral presentation of this work in frong of the PhD advisor and a committee of 3 faculty members, preferably from the Graduate Committee." The PhD advisor and committee should return a signed document after the oral presentation, indicating satisfactory progress by the student. The progress report should have a title and should be typeset in a format appropriate for a research paper. The report may be a published paper or a paper submitted to the archive (the student must be an author or co-author).

    To obtain examples of successful candidacy milestones from graduate students who have reached candidacy please contact an MGSA officer.

    TeX templates for the milestones.