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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Minimal volume of 4-manifolds

gt.geometric-topology dg.differential-geometry riemannian-geometry asked Mar 31, 2010 at 16:47

mathoverflow.net

30 votes

Curves on potatoes

gt.geometric-topology mg.metric-geometry asked Jun 23, 2020 at 19:35

mathoverflow.net

21 votes

Complexifications of hyperbolic manifolds

complex-geometry hyperbolic-geometry asked Sep 21, 2017 at 4:36

mathoverflow.net

21 votes

"The" random tree

gr.group-theory pr.probability graph-theory asked Nov 18, 2009 at 19:21

mathoverflow.net

21 votes

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

gr.group-theory terminology asked Feb 10, 2011 at 0:05

mathoverflow.net

17 votes

Topological version of Bogomolov’s question

open-problem gt.geometric-topology ag.algebraic-geometry asked Dec 13, 2009 at 1:01

mathoverflow.net

16 votes

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

gt.geometric-topology 3-manifolds open-problem asked Feb 25, 2010 at 16:14

mathoverflow.net

16 votes

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

nt.number-theory mg.metric-geometry euclidean-geometry asked Jan 6, 2014 at 19:15

mathoverflow.net

15 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, 2013 at 22:35

math.stackexchange.com

11 votes

Contact structures associated to taut foliations

gt.geometric-topology 3-manifolds foliations asked Jul 4, 2022 at 21:29

mathoverflow.net

Top Answers

Why is BG infinite dimensional for G finite ?

mathoverflow.net

Which math paper maximizes the ratio (importance)/(length)?

mathoverflow.net

Thurston's 24 questions: All settled?

mathoverflow.net

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

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Question on the irrationality of $e$

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Are there "principal" bundles $S^1 \to S^3 \to S^2$ other then Hopf's? (They would be necessarily not locally trivial)

mathoverflow.net

Parallelizability of the Milnor's exotic spheres in dimension 7

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Is differential topology a dying field?

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Can a subset of the plane have nontrivial $H_2$ or $\pi_2$?

mathoverflow.net

Proofs without words

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What makes four dimensions special?

mathoverflow.net

What do Weierstrass points look like?

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Is there a non-trivial group $C$ such that $A*C \cong B*C$ implies $A \cong B$?

mathoverflow.net

Is every rational realized as the Euler characteristic of some manifold or orbifold?

mathoverflow.net

Level sets of Morse functions

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Is it possible to capture a sphere in a knot?

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How to visualize Dirichlet’s unit theorem?

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Complex projective manifolds are homeomorphic if homotopy equivalent

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Collection of equivalent forms of Riemann Hypothesis

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Smallest tile to tessellate the hyperbolic plane

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Immersions of the hyperbolic plane

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Examples of theorems with proofs that have dramatically improved over time

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Can we ascertain that there exist an epimorphism $G\rightarrow H?$

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Complete knot invariant?

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Work of plenary speakers at ICM 2018

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What are some interesting corollaries of the classification of finite simple groups?

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Do we know SL(2,C) subgroups (not only finite ones)?

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Largest hyperbolic disk embeddable in Euclidean 3-space?

mathoverflow.net

Has mathoverflow yet led to mathematical breakthroughs?

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Can one hear the (topological) shape of a drum?

mathoverflow.net