Stack Exchange

Ian Agol

Berkeley

https://math.berkeley.edu/people/faculty/ian-agol

I'm a professor at UC Berkeley working predominantly in the field of low-dimensional topology.

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Top Questions
39 votes

Minimal volume of 4-manifolds

gt.geometric-topology dg.differential-geometry riemannian-geometry asked Mar 31 '10 at 16:47
mathoverflow.net

22 votes

Curves on potatoes

gt.geometric-topology mg.metric-geometry asked Jun 23 at 19:35
mathoverflow.net

19 votes

Complexifications of hyperbolic manifolds

complex-geometry hyperbolic-geometry asked Sep 21 '17 at 4:36
mathoverflow.net

19 votes

“The” random tree

gr.group-theory pr.probability graph-theory asked Nov 18 '09 at 19:21
mathoverflow.net

18 votes

How many elements does it take to normally generate a group?

gr.group-theory terminology asked Feb 10 '11 at 0:05
mathoverflow.net

16 votes

Topological version of Bogomolov’s question

open-problem gt.geometric-topology ag.algebraic-geometry asked Dec 13 '09 at 1:01
mathoverflow.net

15 votes

$\operatorname{SL}_2(\mathbb R)$ Casson invariant?

gt.geometric-topology 3-manifolds open-problem asked Feb 25 '10 at 16:14
mathoverflow.net

14 votes

Right triangle with edge lengths equal to regular unit polygon edge lengths

nt.number-theory mg.metric-geometry euclidean-geometry asked Jan 6 '14 at 19:15
mathoverflow.net

11 votes

Minimal number of moves to construct the challenges (circle packings and regular polygons) in Ancient Greek Geometry?

euclidean-geometry geometric-construction asked Jul 31 '13 at 22:35
math.stackexchange.com

10 votes

Heegaard genus of covers of cusped hyperbolic 3-manifold

hyperbolic-geometry 3-manifolds asked Jun 30 '13 at 16:20
mathoverflow.net

1 2

Top Answers
68
Why is BG infinite dimensional for G finite ?
mathoverflow.net

53
Which math paper maximizes the ratio (importance)/(length)?
mathoverflow.net

50
Thurston's 24 questions: All settled?
mathoverflow.net

47
Question on the irrationality of $e$
mathoverflow.net

45
Not especially famous, long-open problems which anyone can understand
mathoverflow.net

43
Parallelizability of the Milnor's exotic spheres in dimension 7
mathoverflow.net

41
Can a subset of the plane have nontrivial $H_2$ or $\pi_2$?
mathoverflow.net

38
Are there “principal” bundles S^1 --> S^3 ---> S^2 other then Hopf's? (They would be necessarily not locally trivial)
mathoverflow.net

37
Is differential topology a dying field?
mathoverflow.net

35
Proofs without words
mathoverflow.net

35
Is every rational realized as the Euler characteristic of some manifold or orbifold?
mathoverflow.net

33
What do Weierstrass points look like?
mathoverflow.net

33
What makes four dimensions special?
mathoverflow.net

32
How to visualize Dirichlet’s unit theorem?
mathoverflow.net

31
Smallest tile to tessellate the hyperbolic plane
mathoverflow.net

31
Immersions of the hyperbolic plane
mathoverflow.net

30
Can we ascertain that there exist an epimorphism $G\rightarrow H?$
mathoverflow.net

30
Is it possible to capture a sphere in a knot?
mathoverflow.net

29
Level sets of Morse functions
mathoverflow.net

28
Work of plenary speakers at ICM 2018
mathoverflow.net

27
Examples of theorems with proofs that have dramatically improved over time
mathoverflow.net

27
Do we know SL(2,C) subgroups (not only finite ones)?
mathoverflow.net

27
Complete knot invariant?
mathoverflow.net

26
isotopy inverse embeddings vs. diffeomorphisms
mathoverflow.net

26
Geodesics on the sphere
mathoverflow.net

24
What are some of the big open problems in 3-manifold theory?
mathoverflow.net

24
Consequences of the Langlands program
mathoverflow.net

24
Does every positive-definite integral lattice admit an angle-preserving homomorphism into $\Bbb Z^n$ for some $n$?
mathoverflow.net

24
Can one hear the (topological) shape of a drum?
mathoverflow.net

23
Do unit quaternions at vertices of a regular 4-simplex, one being 1, generate a free group?
mathoverflow.net

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