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Answers
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147
Philosophy behind Mochizuki’s work on the ABC conjecture
17
Why should I believe the Mordell Conjecture?
28
Simplest examples of nonisomorphic complex algebraic varieties with isomorphic analytifications
10
Logic in mathematics and philosophy
19
$p$-adic integrals and Cauchy’s theorem
16
Are class numbers encoded in the absolute Galois group of ${\mathbb Q}$?
7
Which curves have infinitely many rational points
29
Has the mathematical content of Grothendieck’s “Récoltes et Semailles” been used?
14
comparison of de Rham cohomology and etale cohomology
6
extension of $G$-bundles
24
Why certain diophantine equations are interesting (and others are not) ?
13
How do you decide whether a question in abstract algebra is worth studying?
66
Thinking and Explaining
4
Galoisian sets and the Langlands programme
10
K_2 of rings of algebraic integers
29
What do heat kernels have to do with the Riemann-Roch theorem and the Gauss-Bonnet theorem?
69
Galois Groups vs. Fundamental Groups
17
what can we say about center of rational absolute galois group?
5
Does every hyperbolic curve over a finite field have an etale cover with a real Frobenius eigenvalue?
8
Example of a smooth morphism where you can’t lift a map from a nilpotent thickening?
33
Is no proof based on “tertium non datur” sufficient any more after Gödel?
17
How much complex geometry does the zeta-function of a variety know
15
Is discrete mathematics mainstream?
8
Has mathoverflow yet led to mathematical breakthroughs?
6
Is a quotient of a reductive group reductive?
37
How to respond to “I was never much good at maths at school.”
12
The class number formula, the BSD conjecture, and the Kronecker limit formula
9
What are some examples of coarse moduli spaces?
30
Sheaf cohomology and injective resolutions