A PhD in Financial Mathematics culminates in a dissertation of original research written under the direction of a major professor or co-directors and defended in an oral examination.

PhD students are not admitted to any particular professor's research group in advance, but rather arrive in the program under the initial guidance of the Director. Students spend their first year in coursework getting to know the faculty, and then find a major professor during the second year. The major professor then takes over as primary academic advisor.

Before submitting a dissertation, a student first advances to Candidacy for the PhD, as described below. For full time students this normally takes five or six semesters. See also the Graduate Program page Timely Progress for FSU Funded Students.

Complete requirements for the PhD appear on the Mathematics Graduate Bulletin page. This includes attending the regular Financial Math research seminar MAP6939r in each semester after completion of the first two years of courses.

Advancement to PhD Candidacy requires the following steps:

• Completing PhD degree course requirements(Details)

  PhD students will first complete two years of coursework in consultation with the Director. (Completion of these courses qualifies a student for the MS degree.)

  Course requirements

  • MAP 5601 Introduction to Financial Mathematics, 3 hrs, Fall
  • MAP 6621 Financial Engineering I, 3 hrs, Spring
  • MAP 5615 Monte Carlo Methods in Financial Mathematics, 3 hrs, Spring
  • MAT 5939r Financial Mathematics Proseminar, 1 hour in Fall and Spring, for a total of 2 hours.
  • MAD 5403-4 Foundations of Computational Math, I-II, 3 hrs each, Fall and Spring
  • STA 6346, Advanced Probability and Inference I, 3 hrs, Fall
  • MAA 5616, Measure and Integration I, 3 hrs, Fall
  • MAP 5932 Stochastic Analysis, 3 hrs, Spring

  and four additional approved elective courses.

• Passing written qualifying exams(Details)

  Financial Math PhD students must pass two qualifying exams, each based on two semesters of coursework, as follows.

  • MAD5403 and MAD5404, Foundations of Computational Mathematics I and II
  • MAP5601 Introduction to Financial Mathematics and MAP6621 Financial Engineering I

  The exams are offered at the start of each Fall and Spring semester.

  Normal PhD progress means taking the corresponding course work in the first year and the qualifying exams in August of the second year. (See the Qualifiers page for more information.)

• Obtaining a major professor or co-directors(Details)

  Students are responsible for finding a major professor, normally from the mathematics department, who agrees to direct their dissertation work. A co-director from another department is possible. If the major professor is from another department, a co-director in mathematics is required. This should normally happen before the end of the second year of study.

  With the agreement of the student and professor, the department chair will officially appoint the major professor, co-director if applicable, and then, before the candidacy exam, the remainder of the PhD supervisory committee. The supervisory committee will include at least three members with graduate faculty status in mathematics, and will guide the student's work until graduation.

• Passing the PhD candidacy exam (Advanced Topics Exam - ATE)(Details)

  After passing the qualifying exams, satisfying the requirements of the master's degree, and obtaining the approval of an intended major professor or co-directors, the student will normally take the PhD candidacy exam during or before the third year.

  1. The student will write an expository paper on an advanced topic selected with the guidance of the major professor, and distribute it to the supervisory committee at least two weeks in advance of the exam date.
  2. On an announced day, the student will give a short presentation on the material covered by the PhD Candidacy Exam paper. Then, in closed session, the supervisory committee will examine the candidate on the topic of the paper. Questions from the committee may concern general knowledge of the chosen topic and need not be limited to the material specifically covered by the PhD Candidacy Exam paper. The student must demonstrate scholarly competence and knowledge sufficient to begin work on dissertation research.

When the supervisory committee determines that the student has passed the PhD candidacy exam, the student is formally advanced to candidacy and begins working on the dissertation.

= PhD qualifier course.