user avatar
user avatar
user avatar
JBorger
  • Member for 12 years, 8 months
  • Last seen more than a month ago
354 votes
110 answers
85k views

Not especially famous, long-open problems which anyone can understand

283 votes
34 answers
34k views

Which journals publish expository work?

221 votes
12 answers
34k views

Is there an introduction to probability theory from a structuralist/categorical perspective?

150 votes
4 answers
10k views

Analytic tools in algebraic geometry

149 votes
52 answers
22k views

Experimental mathematics leading to major advances

  • 23.5k
139 votes
7 answers
18k views

Homotopy groups of Lie groups

  • 3,834
113 votes
2 answers
27k views

Why is the Hodge Conjecture so important?

  • 1,233
109 votes
29 answers
22k views

Where does a math person go to learn statistical mechanics?

108 votes
19 answers
39k views

What is the definition of "canonical"?

106 votes
22 answers
33k views

What's the "best" proof of quadratic reciprocity?

  • 41.5k
104 votes
8 answers
14k views

What do heat kernels have to do with the Riemann-Roch theorem and the Gauss-Bonnet theorem?

97 votes
11 answers
14k views

Why do Bernoulli numbers arise everywhere?

  • 3,558
96 votes
11 answers
15k views

What is entropy, really?

  • 3,387
92 votes
6 answers
27k views

How do I see LaTeX math on any web page and in email?

  • 12.7k
84 votes
9 answers
12k views

Why should I believe the Mordell Conjecture?

80 votes
8 answers
11k views

What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?

77 votes
23 answers
17k views

Algebraic geometry examples

74 votes
29 answers
12k views

(Preferably rare) Audio/Video recordings of famous mathematicians?

72 votes
49 answers
25k views

An example of a beautiful proof that would be accessible at the high school level?

  • 331
71 votes
8 answers
14k views

What is Lagrange Inversion good for?

70 votes
9 answers
18k views

Relating Category Theory to Programming Language Theory

68 votes
4 answers
12k views

Is a "non-analytic" proof of Dirichlet's theorem on primes known or possible?

67 votes
2 answers
7k views

Galoisian sets of prime numbers

66 votes
7 answers
4k views

Open project: Let's compute the Fourier expansion of a non-solvable algebraic Maass form.

64 votes
17 answers
10k views

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

  • 5,661
62 votes
2 answers
5k views

Non-abelian class field theory and fundamental groups

  • 13.1k
61 votes
3 answers
7k views

Is there a "Basic Number Theory" for elliptic curves?

61 votes
4 answers
9k views

Hirzebruch's motivation of the Todd class

  • 1,397
60 votes
6 answers
5k views

Simplest examples of nonisomorphic complex algebraic varieties with isomorphic analytifications

  • 3,727
60 votes
7 answers
6k views

Euler-Maclaurin formula and Riemann-Roch

  • 12.7k
1
2 3 4 5 6