Nick Ulyanov's user avatar
Nick Ulyanov's user avatar
Nick Ulyanov's user avatar
Nick Ulyanov
  • Member for 7 years, 4 months
  • Last seen more than a month ago
149 votes
14 answers
35k views

What is an integrable system?

  • 23.7k
141 votes
24 answers
23k views

Good "casual" advanced math books

103 votes
31 answers
18k views

What notions are used but not clearly defined in modern mathematics?

  • 1,580
96 votes
3 answers
5k views

Why do combinatorial abstractions of geometric objects behave so well?

  • 19.6k
93 votes
5 answers
9k views

Is there a high level reason why the inverse square law of gravitation yields periodic orbits without precession?

  • 92.7k
89 votes
4 answers
4k views

A curious relation between angles and lengths of edges of a tetrahedron

76 votes
2 answers
8k views

Complex structure on $S^6$ gets published in Journ. Math. Phys

67 votes
5 answers
6k views

A better way to explain forcing?

  • 67.1k
63 votes
10 answers
5k views

Fascinating moments: equivalent mathematical discoveries

63 votes
6 answers
7k views

The logic of Buddha: a formal approach

61 votes
10 answers
11k views

Axiom of choice, Banach-Tarski and reality

  • 9,926
58 votes
5 answers
7k views

Intuitively, what does a graph Laplacian represent?

  • 230
56 votes
2 answers
10k views

What is a good roadmap for learning Shimura curves?

55 votes
1 answer
2k views

Is there any deep philosophy or intuition behind the similarity between $\pi/4$ and $e^{-\gamma}$?

  • 8,620
44 votes
2 answers
4k views

What are the potential applications of perfectoid spaces to homotopy theory?

  • 1,483
41 votes
4 answers
3k views

Computing $\prod_p(\frac{p^2-1}{p^2+1})$ without the zeta function?

40 votes
5 answers
3k views

Reference on Persistent Homology

  • 3,061
39 votes
4 answers
2k views

Important open exposition problems?

35 votes
1 answer
1k views

Finding the octonionic analog of the K3 surface, via (almost) hyperkahler geometry?

35 votes
1 answer
3k views

Is there a general theory of "compactification"?

  • 51k
35 votes
4 answers
4k views

A family of polynomials whose zeros all lie on the unit circle

  • 3,528
34 votes
6 answers
2k views

Trigonometry / Euclidean Geometry for natural numbers?

33 votes
0 answers
618 views

Metrics on the 3-sphere with knotted geodesics

  • 8,914
33 votes
1 answer
2k views

Is the area of the Mandelbrot provably computable?

  • 5,797
33 votes
2 answers
2k views

nonabelian reciprocity law

  • 431
33 votes
4 answers
5k views

Mathematical uses of string theory

  • 9,926
32 votes
0 answers
977 views

Is there a rigid analytic geometry proof of the functional equation for the Riemann zeta function?

  • 51k
32 votes
17 answers
3k views

ADE type Dynkin diagrams

28 votes
2 answers
905 views

Solution to simple mathematical game

  • 331
28 votes
1 answer
1k views

Can we use the Rogers-Ramanujan cfrac to parameterize the Fermat quintic $x^5+y^5=1$?