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Answers
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67
Examples of common false beliefs in mathematics.
18
Mathematical “urban legends”
7
Theorems that are ‘obvious’ but hard to prove
19
Which math paper maximizes the ratio (importance)/(length)?
24
What are Jacob Lurie’s key insights?
37
Most intricate and most beautiful structures in mathematics
4
A Learning Roadmap request: From high-school to mid-undergraduate studies
4
Algebraic Topology Beyond the Basics:Any Texts Bridging The Gap?
4
Applications of Brouwer’s fixed point theorem
0
Occurrences of (co)homology in other disciplines and/or nature
1
Good introductory references on algebraic stacks?
12
Do we still need model categories?
9
de Rham cohomology and flat vector bundles
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What are some examples of “chimeras” in mathematics?
2
What books should I read before beginning Masaki Kashiwara’s “Sheaves on Manifolds”
17
“Why the heck are the homotopy groups of the sphere so damn complicated?”
4
What do mathematicians currently do in conformal field theory (or more general field theory)
2
Algebraic geometry used “externally” (in problems without obvious algebraic structure).
3
Derivators (in English)
7
Can anyone give me a good example of two interestingly different ordinary cohomology theories?
11
New proofs to major theorems leading to new insights and results?
4
A list of machineries for computing cohomology
8
Historical transition from classical homotopy to modern homotopy theory…
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Can you prove equivalence without being able to calculate it?
10
Modern Source for Spectra (including Ring Spectra)
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Proof that the homotopy category of a stable $\infty$-category is triangulated
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`Naturally occuring' $K(\pi, n)$ spaces, for $n \geq 2$.
8
Homology is computable because it is stable under suspension
3
Mayer-Vietoris implies Excision
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What is known about K-theory and K-homology groups of (free) loop spaces?
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