29

Answers
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147
Philosophy behind Mochizuki’s work on the ABC conjecture
66
Thinking and Explaining
69
Galois Groups vs. Fundamental Groups
37
How to respond to “I was never much good at maths at school.”
10
Logic in mathematics and philosophy
29
What do heat kernels have to do with the Riemann-Roch theorem and the Gauss-Bonnet theorem?
8
Has mathoverflow yet led to mathematical breakthroughs?
13
How do you decide whether a question in abstract algebra is worth studying?
17
Why should I believe the Mordell Conjecture?
30
Sheaf cohomology and injective resolutions
29
Has the mathematical content of Grothendieck’s “Récoltes et Semailles” been used?
15
Is discrete mathematics mainstream?
24
Why certain diophantine equations are interesting (and others are not) ?
28
Simplest examples of nonisomorphic complex algebraic varieties with isomorphic analytifications
12
The class number formula, the BSD conjecture, and the Kronecker limit formula
33
Is no proof based on “tertium non datur” sufficient any more after Gödel?
6
Is a quotient of a reductive group reductive?
18
$p$-adic integrals and Cauchy’s theorem
9
What are some examples of coarse moduli spaces?
17
How much complex geometry does the zeta-function of a variety know
14
comparison of de Rham cohomology and etale cohomology
16
Are class numbers encoded in the absolute Galois group of ${\mathbb Q}$?
7
Which curves have infinitely many rational points
6
extension of $G$-bundles
8
Example of a smooth morphism where you can’t lift a map from a nilpotent thickening?
10
K_2 of rings of algebraic integers
4
Galoisian sets and the Langlands programme
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?