Doctor's degree in Mathematics at Harvard University

 

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Doctor's Degree in Mathematics at Harvard University

Harvard University
Doctor's degree
Mathematics

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-Degree Requirements-
The graduate mathematics program at Harvard is designed for students who hope to become research mathematicians and show definite promise in this direction. Once the student has demonstrated a command of basic mathematical concepts by passing the qualifying examination, the emphasis is on getting to the frontiers of some field by independent reading, advanced courses, and seminars.

The Cambridge area is one of the most active centers of mathematics in the world. Harvard, Brandeis, MIT, and Northeastern have an especially close association in mathematics, sharing several seminars and a weekly colloquium.

The degree of doctor of philosophy is awarded to students who have demonstrated their mastery of the basic techniques of mathematics and their ability to do independent research. The former is tested in the qualifying examination; the latter in the dissertation. The dissertation, however, is the more important of the two.

The qualifying examination is given twice annually, and students are encouraged to take it as soon as possible so that they may begin work towards their dissertations. Most students pass the exam during their first year. For those who do not pass it on their first attempt, it may be retaken any number of times.

The PhD dissertation is an original treatment of a suitable subject leading to new results, usually written under the guidance of a faculty member.

A reading knowledge of two modern languages, French, Italian (if deemed related to the student's field of study), German, or Russian, is required of PhD candidates. One language requirement must be passed by the end of the second year of graduate study and the other by the end of the third year. Each candidate must also write a "minor dissertation." This is an original presentation of a standard subject about which the student is ignorant but wishes to learn. It is intended to give the student experience in assimilating and presenting unfamiliar material. The research and writing must be done during a three-week period, soon after the qualifying examination is passed. Each candidate must also participate in the Teaching Apprentice Program and have two semesters of classroom experience of teaching, usually as a teaching fellow.

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