MATHEMATICS GRADUATE
STUDENT HANDBOOK
Administration

Advancing to Candidacy

Before the end of a student’s 11th quarter in residence (Winter quarter of the 4th year for residents, Winter quarter of 3rd year for non-residents), they must pass an oral exam. This is not quite what it sounds like; the “exam” is really more accurately described as a research proposal. It is your job to prepare an organized and thoughtful presentation of exactly what you plan to do for your thesis. The audience will include your doctoral committee, which consists of your thesis advisor, two other faculty members from the math department, and two faculty members from a department other than math (one of these two must be a tenured UCSD faculty member). Of course, other people are certainly allowed to come watch and cheer you on.

Before you can prepare this presentation, you need to have a research topic. Different students find these in different ways. Some students come up with their own topic, others are given a topic by their advisor. One thing that some students fail to realize is that your research plans are allowed to change after you advance!

That is, if your advancement talk is about topic X, but later you decide you are more interested in topic Y, you can write your thesis on topic Y. The main purpose of the advancement talk is for your committee to be able to see that you are able to elucidate a statement of a math problem, and outline some kind of rudimentary plan of attack.

It’s certainly advantageous not to change research topics – for the simple reason that you will save time by not having to start over – but you should not feel that you are locked in once you advance to candidacy.

After finding a research topic, make sure you have a clear understanding of the problem you want to solve. More specifically, how does your problem fit in the landscape of other research in your field? Are there other problems (solved or unsolved) that are similar in nature to yours? What consequences will solving your problem have? You should also make sure that your advisor believes that your problem is tractable.

We’ve all seen incredibly simply stated math problems that take the world’s best mathematicians decades (or even centuries) to solve. While no one can ever be completely certain that any given problem is tractable, your advisor will likely have a good idea of whether he or she thinks you have a reasonable chance of finishing a given problem in a reasonable amount of time.

Keep in mind that the talks are only about an hour long. The people on your committee may not have ever even heard of your particular research topic. Remember that two of your five committee members must be from departments other than math. If you assume too much background, they will be left completely in the dark. Of course, you will probably have too little time to give complete and careful definitions of everything related to your research. Striking the right balance will take some thought.

As you might have guessed, there is also a fair amount of paperwork that goes along with advancing. It’s important to get all of the paperwork completed correctly and submitted because it’s the paperwork that documents the fact that you actually did your talk and advanced. Here are the departmental and Graduate Division requirements to keep in mind:

  1. Committee Members:  Committee members are usually chosen with the help of your dissertation advisor.  The committee must consist of no less than five (5) members, three from our department and two from outside the department (one of whom must be tenured).  Please note that asking faculty members to serve on your committee is clearly your responsibility, with the assistance of your faculty advisor. No less than three weeks prior to your Oral Qualifying Examination email your list of members to the Graduate Advisor for submission to Graduate Division for approval (please provide everyone’s full name, academic title, affiliated department, and speciality). Please designate who is the Chair of your committee and if you have a Co-Chair.  Campus Policy on Committee Constitution 

    Please be aware that a faculty member with a regular appointment in one department, and an adjunct appointment in another department may be an inside or an outside member of the committee for either department. Only one such member is accepted per committee. There must also be one person with no connection to the math department.  You can see which faculty are affiliated with other department with the below link.

    http://math.ucsd.edu/people/directory/

     

     

  2. It is your responsibility to make arrangements with each committee member for the date and time of your examination.  Room reservations should be made at the Front Desk.  Send an email to seminarstaff@math.ucsd.edu with the date, time and location of your oral examination so that the information can be posted on our bulletin boards.  It is your responsibility to remind the committee members close to the time of your exam.
  3. A few days before your examination, go to the Graduate Advisor and pick up the “Report of the Qualifying Examination and Advancement to Candidacy for the Degree of Doctor of Philosophy” form (which requires the signatures of all your committee members), and the “Degree and Diploma Application.”  After your examination return these forms to the Graduate Advisor, who will check for errors, obtain the Graduate Vice Chair’s signature, and then make copies for departmental records.
  4. Before you take these forms to Graduate Division, you must first stop by the Cashier’s Office and pay a filing fee ($50 as of Spring 2015).  They will validate your “Report of the Qualifying Examination and Advancement to Candidacy for the Degree of Doctor of Philosophy” form, and you can then take it, as well as the Degree and Diploma application, to Graduate Division for processing.
  5. Quarterly Deadline: The deadline to submit the advancement paperwork is the last day of the quarter.  This will be the Friday of Finals week.  If you reached the last quarter to advance please do not schedule your defense on this Friday, as it will be unlikely for the department to process the forms in time for you to submit your forms to Graduate Division.

If you have any questions or concerns about the above step, the Graduate Advisor can assist you.

While you are not required to advance until the end of your 11th quarter, it is not a bad idea to advance earlier if you are ready. After you have advanced, you are eligible to teach your own course as an Associate Instructor. This is not only good experience, but can be very helpful when putting together a teaching portfolio for job applications.

 

Below is the campus policy regarding committee membership.

A Doctoral Committee of five or more members shall be appointed by the Dean of Graduate Studies under the authority of the Graduate Council. At least five of the committee members shall be officers of instruction and no fewer than four shall hold professorial titles (of any rank). The committee members shall be chosen from at least two departments, and at least two members shall represent academic specialties that differ from the student’s chosen specialty. In all cases, each committee must include one tenured or emeritus UCSD faculty member from outside the student’s major department. [Am 10/26/93]

The Graduate Council confirms that either of the following Ph.D. committee compositions are in compliance with Regulation 715:

1. Four members from the student’s department and one tenured or emeritus member from outside the student’s department, as long as two members’ academic specialties differ from the student’s (i.e., a 4+1 committee).

2. Three members from the student’s department and two members from outside the student’s department, including one tenured or emeritus outside member, as long as two members’ academic specialties differ from the student’s (i.e., a 3+2 committee).

Departments are responsible for ensuring that a Ph.D. committee complies with Regulation 715 by appointing at least two members differing in academic specialty from the student, regardless of whether these members are from inside or outside the student’s department.