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94

What should be learned in a first serious schemes course? (3)

85

Applications of the Chinese remainder theorem (3)

76

Why do primes dislike dividing the sum of all the preceding primes?

71

Invertible matrices of natural numbers are permutations… why?

55

Examples where it’s useful to know that a mathematical object belongs to some family of objects (3)

49

Why Mertens could not prove the prime number theorem?

48

Irreducibility of polynomials in two variables

41

What is the Hirzebruch-Riemann-Roch formula for the flag variety of a Lie algebra?

40

Is no proof based on “tertium non datur” sufficient any more after Gödel?

38

What should be offered in undergraduate mathematics that’s currently not (or isn’t usually)?

38

Generating a finite group from elements in each conjugacy class

38

$\prod_{n=1}^{\infty} n{}^{\mu(n)}=\frac{1}{4 \pi ^2}$

36

Examples of common false beliefs in mathematics. (3)

34

Open problems with monetary rewards

33

Are the Millennium Prize Problems all decidable?

33

Chain homotopy: Why du+ud and not du+vd? (2)

29

Strengthening the Induction Hypothesis

28

What would you want on a Lie theory cheat poster? (2)

27

When is the product of two ideals equal to their intersection?

26

Character table does not determine group Vs Tannaka duality

26

Calculating the “Most Helpful” review

26

Can algebraic varieties be rigidified by finite sets of points? (2)

25

Expected determinant of a random NxN matrix.

25

Recovering representation from its character

25

$Q(\sqrt{2})=Q((\sqrt{2}+1)^n)$

24

Non-Diagonalizable Doubly Stochastic Matrices

23

Analogue of the Chebyshev polynomials over C?

21

f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential. (2)

21

“Are you more intelligent than the average of those who are more intelligent than the average?”