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Results tagged with big-list
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user 3384
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
21
votes
Thinking and Explaining
I am immediately reminded of the following phenomenon:
"Let's consider an elliptic curve $E$ over $\mathbf{Q}_p$."
~Speaker begins to draw a donut at the board~
Clearly this is wrong. The speaker m …
11
votes
Books about history of recent mathematics
I am shocked that Carol Parikh's "The Unreal Life of Oscar Zariski" hasn't been mentioned.
It paints a very charming picture of the man and casts new light onto luminaries like Weil, Lefschetz and Bi …
11
votes
Demonstrating that rigour is important
Based on the recent update to the question, Fermat's Last Theorem seems like the top example of a proof being far more valuable than the truth of the statement. Personally it's a rare occurrence for m …
5
votes
applications of Tate-Poitou duality
Take a look at the recent paper of Mazur and Rubin, "Ranks of twists of elliptic curves and Hilbert's 10th problem"
Lemma 3.2, one of the indispensable lemmas of the paper, is a direct application of …
4
votes
Cocktail party math
I like the following description of the inverse galois problem I came up with at one point:
Do you remember polynomials? Maybe from high school math? Do you ever remember trying to factor polynomials …
1
vote
Undergraduate Level Math Books
Complex Variables: Harmonic and Analytic Functions by Francis J. Flanigan
A nice little Dover paperback which turns the standard course on complex variables on its head. It begins by doing some multi …