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seen Jun 5 '11 at 11:08

Oct
10
awarded  Yearling
Mar
29
awarded  Nice Answer
Mar
3
awarded  Nice Answer
Oct
11
awarded  Yearling
Jul
7
awarded  Good Answer
Jul
6
awarded  Nice Answer
May
26
awarded  Nice Answer
Apr
11
comment Stiefel–Whitney classes in the spirit of Chern-Weil
@diverietti: I think the confusion is about real curves as opposed to complex curves ;-)
Jan
30
comment Why should one still teach Riemann integration?
"The trouble is that beginning math students are not nearly sophisticated enough to handle the technical baggage underlying the Lebesgue integral." Well, in the French/German/Swiss/Italian(?)/Israeli... system (i.e. all non-American systems I know), all math undergraduates are taught Lebesgue integral, and in many cases Lebesgue integral only (with only a weak version of Riemann integral, which is hardly more then an antiderivative "Cauchy" approach as preparation). Not all handle it equally well, but everyone is required to learn it. The above statement seems to be extremely culturally biased
Jan
4
comment Subfields of $\mathbb{C}$ isomorphic to $\mathbb{R}$ that have Baire property
@Zev: The fact that $\mathbb C$ has uncountably many field automorphisms does not seem so surprising to me. After all the only obstruction that keeps $\mathbb R$ from having many automorphisms is the fact that its order can be described algebraically, hence is preserved. Since there is no such obstruction on $\mathbb C$, there should be plenty of automorphisms, and in fact there are.
Jan
2
awarded  Necromancer
Dec
8
comment Never appeared forthcoming papers
@Victor: Burger, Sarnak: Ramanujan Duals II qualifies in so far as there is no published paper entitled Ramanujan Duals I, but I guess the point here is more that part I appeared under a slightly different title, so maybe it is not quite what you are looking for.
Nov
18
answered arithmetic groups VS. Zariski dense discrete subgroups?
Nov
17
comment A single paper everyone should read?
Even if bashing Bourbaki seems to have become hip again (as it was actually during the Bourbaki era as well), and thus the myth of the "wholesale rejection" of applications of mathematics "during the Bourbaki era" has become generally accepted in certain circles, it still remains a myth, which like all myths contains a germ of truth surrounded by a lot of prejudices, misunderstandings and plainly wrong statements.
Nov
17
comment A single paper everyone should read?
A very nice case study indeed, but I found the general remarks surrounding it superfluous and besides the point (and even insulting in parts). Not to talk about the horrible title, which raises expectations that the paper cannot keep. Why not call it "On Szemeredi's theorem", skip Sections 1 and 3 and leave it to the reader which conclusions to draw? I was very disappointed to see that a great mathematician like Tao felt the need to write such a strange convolute of nice insights (in the case study) and complete trivialities (in Section 1). But then, my position seems to be an isolated one.
Nov
17
answered A single paper everyone should read?
Nov
12
revised Transitive Semigroups of $2\times 2$ matrices
Earlier partial answer completed.
Nov
12
awarded  Commentator
Nov
12
comment Cohomology of the unitary group
Of course there is a striking similarity to the formula for Chern classes in terms of curvature here, which is no coincidence, since the latter arise from the above classes via transgression along the universal bundle.
Nov
11
answered How and how much do the notations and diagrams influence our understanding of mathematical concepts?