125

Answers
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27
Map of Number Theory
24
K(F_1) = sphere spectrum?
24
Extremely messy proofs
22
Fundamental Examples (2)
19
Several Topos theory questions
18
Generalized notions of solutions in various areas of mathematics (5)
17
Awfully sophisticated proof for simple facts
16
Most interesting mathematics mistake?
15
What does the classifying space of a category classify?
14
Heuristic explanation of why we lose projectives in sheaves.
14
Connections between various generalized algebraic geometries (Toen-Vaquié, Durov, Diers, Lurie)?
13
Is there a high-concept explanation for why “simplicial” leads to “homotopy-theoretic”?
13
When are two proofs of the same theorem really different proofs
13
How do you become a good listener?
12
nonstandard analysis book recommendation (2)
12
What is the “universal problem” that motivates the definition of homotopy limits/colimits (and more generally “derived” functors)?
11
“Philosophical” meaning of the Yoneda Lemma
10
Finite type/finite morphism
10
Undergraduate Level Math Books (3)
10
Sheaf cohomology and injective resolutions
10
Is the category commutative monoids cartesian closed?
10
What is the proper initiation to the theory of motives for a new student of algebraic geometry?
10
MaxSpec, Spec, … “RadSpec”? Or, why not look at all radical ideals?
10
What is sheaf cohomology intuitively?
10
What does the “category” of $(\infty,1)$ category look like.
9
What is the analog of a topos in quantum logic?
9
Is the subobject functor really a presheaf?
8
“Algebraic” topologies like the Zariski topology?
8
Looking for an introductory textbook on algebraic geometry for an undergraduate lecture course
8
The category of abelian group objects
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