Yellow Pig
  • Member for 11 years
  • Last seen more than a month ago
278 answers
934 votes
262k views
970 bookmarks
Examples of common false beliefs in mathematics
22 answers
308 votes
95k views
245 bookmarks
Why do so many textbooks have so much technical detail and so little enlightenment?
41 answers
250 votes
91k views
422 bookmarks
A single paper everyone should read?
25 answers
144 votes
39k views
85 bookmarks
What recent discoveries have amateur mathematicians made?
13 answers
126 votes
26k views
126 bookmarks
Why are modular forms interesting?
3 answers
94 votes
4k views
54 bookmarks
Why do combinatorial abstractions of geometric objects behave so well?
7 answers
72 votes
7k views
33 bookmarks
How does "modern" number theory contribute to further understanding of $\mathbb{N}$?
2 answers
72 votes
15k views
37 bookmarks
Why is differential Galois theory not widely used?
14 answers
67 votes
18k views
69 bookmarks
Elementary / Interesting proofs of the Nullstellensatz
12 answers
66 votes
12k views
73 bookmarks
Life after Hartshorne (the book, not the person)...
6 answers
63 votes
11k views
44 bookmarks
Why is the Fourier transform so ubiquitous?
5 answers
63 votes
8k views
47 bookmarks
Intuition about the cotangent complex?
4 answers
61 votes
9k views
54 bookmarks
Hirzebruch's motivation of the Todd class
14 answers
60 votes
10k views
62 bookmarks
What are some of the big open problems in 3-manifold theory?
3 answers
60 votes
15k views
110 bookmarks
Derived algebraic geometry: how to reach research level math?
7 answers
56 votes
15k views
50 bookmarks
Mathematician trying to learn string theory
18 answers
55 votes
8k views
31 bookmarks
How can an extremely mathematically talented young person be helped to fulfill his/her potential?
3 answers
50 votes
6k views
29 bookmarks
What to do now that Lusztig's and James' conjectures have been shown to be false?
2 answers
46 votes
3k views
41 bookmarks
Which philosophy for reductive groups?
6 answers
45 votes
10k views
44 bookmarks
Intuition for Integral Transforms
2 answers
44 votes
4k views
24 bookmarks
The two ways Feynman diagrams appear in mathematics
2 answers
44 votes
3k views
19 bookmarks
Automatically solving olympiad geometry problems
3 answers
43 votes
5k views
30 bookmarks
Intuition behind Riemann's bilinear relations
1 answers
43 votes
11k views
56 bookmarks
Consequences of Geometric Langlands
6 answers
43 votes
8k views
51 bookmarks
The 'real' use of Quantum Algebra, Non-commutative Geometry, Representation Theory, and Algebraic Geometry to Physics
4 answers
43 votes
4k views
41 bookmarks
How to constructively/combinatorially prove Schur-Weyl duality?
10 answers
42 votes
4k views
26 bookmarks
List of long open, elementary problems which are computational in nature
2 answers
41 votes
14k views
15 bookmarks
How fast can we *really* multiply matrices?
5 answers
41 votes
7k views
31 bookmarks
Real algebraic geometry vs. algebraic geometry
1 answers
39 votes
2k views
13 bookmarks
In the category of sigma algebras, are all epimorphisms surjective?
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