The One Hundred Paper Strategy

by Kareem Carr

Bottom line:  This is a strategy for rapidly aggregating and analyzing a large number of research papers on a particular topic using online resources.

Beginning the research process can sometimes seem daunting and for this reason we often put it off.  It can seem like it ought to take months.  Frequently, when we do apply ourselves, we approach it in a more awkward and disorganized way that we should.  However, this need not be the case.  The 100-paper strategy is simply a strategy that I have found for aggregating and summarizing 100 papers in a week or less.

Organization is key.  The strategy draws almost all of its power from doing this in an organized way.  To this end, we must be able to execute actions quickly.  In order to execute actions quickly, we must have clear simple goals at each stage and do one thing at a time.  We must be ruthless in cutting away the little inefficiencies that cost us seconds or stretch into minutes or hours of indecision. Continue reading

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Graduate Summer School

by Diana Davis

Had I not just happened to sit next to another math graduate student on the train, and had he not just happened to mention what he had done last summer, I would never have known about graduate summer school. My friend said it is like summer camp with math classes—an opportunity not to be missed! Graduate summer school is a unique opportunity for math graduate students to attend math classes, go to math talks, and socialize with other math graduate students for part of the summer.

Graduate summer school sessions range from one week (Raleigh, Bowling Green) to a full month (Clay Math Institute; a month of math during vacation may seem like a lot, but note that it is in Hawaii). The NSF and the graduate student’s home department can usually pay for tuition and transportation. To apply, most programs simply require a statement and a recommendation from someone in the math department. To find programs, search for math graduate summer school 2009. Additionally, Iowa State and the University of Washington list most of the available opportunities here and here.

Some of the deadlines have passed, but some are still accepting applications. It is a great opportunity to get to know other young mathematicians from other universities, and to learn about something completely different.

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The Hardest Part of Writing a Math Paper

by Alex Levin

When I began my first math research project a few summers ago, I thought that I was fairly good at communicating mathematics.  By that time, I had written up quite a few problem sets for various classes, and had even been a TA for a freshman math course.  Thus, I was very surprised by how difficult the process of writing a math paper actually was, and especially astounded by the fact that the hardest part proved to be the introduction.

I spent that summer at Williams College’s undergraduate research program. My collaborators were extremely strong, and the experience proved very educational and productive.  There were many great moments throughout that summer, but one of my favorite happened during an informal group discussion one evening; we realized that a little calculation I had been doing on the side actually had some very interesting connections with some of our other work.  Eventually we decided to make these connections the basis of a new paper, which would present our main results from the new perspective – and in a manner more suitable for a broad spectrum of readers. Continue reading

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Getting a (Teaching-Research) Job

by Brian Katz

In high school, we had guidance counselors to help us make a plan; in  college, we had a mentor or dean to make sure we were on the path to our  goals. But who fills the role of career guide during graduate school? The most natural answer is the thesis advisor. The problem with this is that  most research faculty who produce students only have experience getting research jobs. So what part of their advice should those of us interested in jobs that balance teaching and research take? Over this past year, while applying for jobs, I have realized that the spirit of their advice is exactly right, though some of the details are a little different: as a graduate student, you are a bit of an unknown quantity, and the mark of a strong application is one that makes it clear what kind of peer, coworker, and faculty member you will be. In the end, you will be measured by the evidence that you can provide to support your CV and the quality of impressions that you have made on other people.  Continue reading

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Organizing a Reading Seminar

By Asher Auel

In the Fall semester of 2006, a small group of graduate students at the University of Pennsylvania embarked on the time-honored tradition of organizing a reading seminar.  Independent of any course or professor, we decided to read through Cornell and Silverman’s “Arithmetic Geometry” to understand the proof of Faltings’ theorem (the Mordell conjecture).  While it was great fun for the semester, we learned some lessons that we’d like to pass on to those of you who wish to start up a reading seminar on your own. Continue reading

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