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Mathematics professor at Cambridge

Jan
15
revised Improving a sequence of 1s and -1s
added 432 characters in body
Jan
15
comment Has mathoverflow yet led to mathematical breakthroughs?
My own feeling about use of the internet is that one can more or less prove that it isn't "crucial" in the fully anal sense, because there are other means of communication. But it can be crucial in the weaker sense of being so much more efficient that it makes the difference between progress not happening and happening. Your example isn't quite like that, since you'd presumably have completed your research in reasonable time without mathoverflow, but it's quite far along a spectrum towards that.
Jan
15
asked Has mathoverflow yet led to mathematical breakthroughs?
Jan
15
revised Improving a sequence of 1s and -1s
deleted 6 characters in body
Jan
15
revised Partial sums of multiplicative functions
edited tags
Jan
15
asked Improving a sequence of 1s and -1s
Jan
9
comment Undecidable graph problems?
Yes, I was using it as a synonym for "independent", as the sometimes is used that way.
Jan
8
revised Undecidable graph problems?
Corrected typo
Jan
8
answered Undecidable graph problems?
Jan
8
awarded  Nice Question
Jan
7
comment Partial sums of multiplicative functions
I was fairly sure that partial sums of mu were not better than the square root of n, but I didn't in fact know this argument, so thanks for giving it. I'll think about whether it can be adapted to work for the Liouville function.
Jan
7
asked Partial sums of multiplicative functions
Dec
20
awarded  Nice Answer
Dec
20
answered Pedagogical question about linear algebra
Dec
19
awarded  Good Answer
Dec
17
awarded  Nice Answer
Dec
17
awarded  Nice Answer
Dec
15
awarded  Enthusiast
Dec
8
answered Cardinality of Equivalence Classes of Cauchy Sequences
Dec
6
comment Why is it useful to study vector bundles?
OK, in that case I think one has to turn to more sophisticated answers such as that you can use them to form K groups. If you'll excuse the indirect self-promotion, I'd recommend Burt Totaro's article on algebraic topology in the Princeton Companion to Mathematics, where he has quite a lot to say about bundles and why they are important.