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Answers
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20
Theorems with unexpected conclusions
56
Experimental Mathematics
9
Are there any books that take a ‘theorems as problems’ approach?
33
Expected determinant of a random NxN matrix.
25
Intuition for the last step in Serre’s proof of the three-squares theorem
33
Bringing Number and Graph Theory Together: A Conjecture on Prime Numbers
39
Is there an “elementary” proof of the infinitude of completely split primes?
25
Roots of truncations of e^x - 1
51
Polynomial with the primes as coefficients irreducible?
18
A two-variable Fourier series and a strange integral
16
What are interesting families of subsets of a given set?
8
Showing a matrix is negative definite [formerly Showing a sum is always positive]
9
longest consecutive subsequence of a random permutation
13
Is the theory of categories decidable?
18
When a formal power series is a rational function in disguise
5
Formally étale at all primes does not imply formally étale.
16
non principally polarized complex abelian varieties
21
Is a ‘generic’ variety nonsingular? Or singular?
30
Order of the Tate-Shafarevich group
24
Integer matrices with no integer eigenvalues
45
How can I define the product of two ideals categorically?
14
Using Weierstrass’s Factorization Theorem
27
Fields of definition of a variety (2)
11
How to show the galois group of a polynomial is not an alternating group?
9
What are the normal subgroups of a direct product?
15
Irreducible polynomials with constrained coefficients
6
Representing numbers in a non-integer base with few (but possibly negative) nonzero digits
29
Example of a smooth morphism where you can’t lift a map from a nilpotent thickening? (2)
12
alternative construction of the quotient group
18
Are most cubic plane curves over the rationals elliptic?
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