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FIELD MATH ILLUSTRATIONS HOW TO
FIELD MATH ILLUSTRATIONS PROFESSIONAL

Michael Steele’s “ Advice for Graduate Students in Statistics.”

Gian-Carlo Rota’s “ Ten lessons I wish I had been taught”.

Matt Might’s “ Illustrated guide to a Ph.D.“.

Richard Hamming’s “ A stroke of genius: striving for greatness in all you do“.

Oded Goldreich’s “ On our duties as scientists“.

Lance Fortnow’s “ Graduate Student Guide“.

Fan Chung’s advice for graduate students.

Po Bronson’s article on the relative importance of innate intelligence versus effort.

FIELD MATH ILLUSTRATIONS PROFESSIONAL

What are some useful, but little-known, features of the tools used by professional mathematicians?.

Batch low-intensity tasks together to take advantage of economies of scale and to reduce distraction.

Here are some general thoughts on this topic.

I am also (slowly) in the process of gathering my thoughts on time management from the perspective of a research mathematician.

Be sceptical of your own work, and don’t be afraid to use the wastebasket.

But be considerate of your audience talks are not the same as papers.

You should definitely travel and present your research if given the opportunity.

In your research, be both flexible and patient.

In particular, you should continually aim just beyond your current range.

Learn the limitations of your tools, but also learn the power of other mathematician’s tools.

Learn and relearn your field, but don’t be afraid to learn things outside your field.

FIELD MATH ILLUSTRATIONS HOW TO

In this regard, I have some advice on how to write and submit papers. Write down what you’ve done, and make your work available.Don’t prematurely obsess on a single “big problem” or “big theory”.Talk to your advisor, but also take the initiative.Attend talks and conferences, even those not directly related to your own work.Think ahead to understand the way forward ask yourself dumb questions to understand the way before.But it is also important to enjoy your work. It is important to work hard, and work professionally.Does one have to be a genius to succeed at maths?.But you should study at different places. Don’t base career decisions on glamour or fame.It is also important to value partial progress, as a crucial stepping stone to a complete solution of a problem. How can one become better at solving mathematical problems? Note that there is more to maths than grades and exams and methods there is also more to maths than rigour and proofs.Also, it should be clear that most of this advice is targeted towards academic careers in mathematics of course, there are many other career options available besides this, but I have no particularly informed advice to offer for such alternatives. I would in particular recommend discussing such decisions with your advisor if you have one, as he or she will be familiar with your situation and will likely be able to provide pertinent advice. You will of course need to evaluate many factors, contexts, and needs specific to your own situation, as well as employing a healthy dose of common sense, before making any important career decisions. Here is my collection of various pieces of advice on academic career issues in mathematics, roughly arranged by the stage of career at which the advice is most pertinent (though of course some of the advice pertains to multiple stages).ĭisclaimer: The advice here is very generic in nature I don’t pretend to have any sort of “silver bullet” that will solve all career issues. Advice is what we ask for when we already know the answer but wish we didn’t.