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- From: mccolm@darwin.math.usf.edu. (Gregory McColm)
- Newsgroups: sci.math
- Subject: Re: a first year grad student freaks out.
- Message-ID: <1992Nov13.164136.13046@ariel.ec.usf.edu>
- Date: 13 Nov 92 16:41:36 GMT
- References: <92314.170255RVESTERM@vma.cc.nd.edu> <DREIER.92Nov10235243@durban.berkeley.edu>
- Sender: news@ariel.ec.usf.edu (News Admin)
- Organization: Univ. of South Florida, Math Department
- Lines: 47
-
- In article <DREIER.92Nov10235243@durban.berkeley.edu> dreier@durban.berkeley.edu (Roland Dreier) writes:
- >In article <92314.170255RVESTERM@vma.cc.nd.edu> <RVESTERM@vma.cc.nd.edu> writes:
- > i'm a first year grad student. i can do most of the homework assigned
- > to me. i can pass tests i have to take. i can usually understand
- > proofs of theorems that we're studying, given some thought. i think
- > that with a lot of work, i can pass my orals.
- >
- > however, what's the deal with this thesis thing? what happens if you
- > simply cannot prove whatever your advisor assigned?
- >
- > bob vesterman.
- >
- >Guess what, kid. It's even harder than that. Consider yourself
- >extremely lucky if your advisor even gives you a question. More
- >likely, not only are you gonna have to solve a problem, you're gonna
- >have to find the problem yourself. But the advantage of this is that
- >you can usually find a problem you can solve if you look hard enough.
- >It's still not easy to come up with a problem you can do and also that
- >interests other people enough so that they're willing to give you a
- >degree.
- >
-
-
- Since the PhD is supposed to be granted to future researchers,
- many advisors regard the ability to find (or make up) a good
- problem as an initial test. Some people, eg the late Richard
- Feynman, refused to take students who did not have their own
- problems.
-
- Don't worry too much about not being able to solve a problem
- that you attack. This often happens (it happened to me: my
- major project for my PhD was to prove a conjecture of my
- advisor's; 6 years after getting my PhD, the problem is
- still open). What you want is a problem which will lead you
- to good results (Poincare advised people always to have a
- very hard problem in mind to guide one's research) which
- can be presented in lieu of your desired but unforthcoming
- proof of Fermat's Last Theorem (FLT is a good example of a
- hard problem which many people tried to solve, developing
- much good mathematics in the process).
-
- -----Greg McColm
- --
- SHAMELESS AD: Math PhDs in Analysis, Discrete Math./Th. of Comp., Num. Anal.,
- Prob., are invited to apply to the Math. Dept. of Univ. of S. Florida for
- research/teaching positions that may be available: contact K. L. Pothoven at
- mathdept@math.usf.edu. Deadline 2/1/93. USF is a politically correct employer.
-