Tom Goodwillie

Providence

algebraic (?) topologist, big fan of the empty set

top accounts reputation activity subscriptions

Analytic tools in algebraic geometry

ag.algebraic-geometry big-picture asked Aug 6, 2010 at 1:55

mathoverflow.net

53 votes

Prime numbers as knots: Alexander polynomial

nt.number-theory knot-theory asked Jul 9, 2010 at 21:42

mathoverflow.net

29 votes

Birational invariants and fundamental groups

ag.algebraic-geometry birational-geometry asked Jul 22, 2010 at 22:53

mathoverflow.net

28 votes

Counting the Groups of Order n Weighted by 1/|Aut(G)|

gr.group-theory asked Jul 3, 2010 at 21:16

mathoverflow.net

22 votes

Pseudoisotopy in low dimensions

gt.geometric-topology asked Feb 9, 2012 at 19:03

mathoverflow.net

22 votes

Unoriented bordism and homology, reference?

at.algebraic-topology asked Apr 11, 2014 at 22:22

mathoverflow.net

20 votes

When do basepoints matter in homotopy theory?

at.algebraic-topology asked Mar 7, 2012 at 1:10

mathoverflow.net

18 votes

Analogue of simplicial sets

at.algebraic-topology simplicial-stuff asked Mar 4, 2011 at 15:48

mathoverflow.net

17 votes

About the equivariant analogue of $G_n/O_n$

at.algebraic-topology homotopy-theory asked Jun 20, 2022 at 13:53

mathoverflow.net

15 votes

A combinatorial question about orthonormal bases

co.combinatorics asked Apr 26, 2015 at 20:05

mathoverflow.net

Top Answers

Example of a manifold which is not a homogeneous space of any Lie group

mathoverflow.net

How can there be topological 4-manifolds with no differentiable structure?

mathoverflow.net

Why is the fundamental group of a compact Riemann surface not free ?

mathoverflow.net

Do rings of smooth functions differ from rings of continuous functions?

mathoverflow.net

Are spectra really the same as cohomology theories?

mathoverflow.net

Is there a Whitney Embedding Theorem for non-smooth manifolds?

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Taylor's theorem and the symmetric group

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When is there a submersion from a sphere into a sphere?

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What part of the fundamental group is captured by the second homology group?

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When is $SL(n,R) \rightarrow SL(n,R/q)$ surjective?

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Have you solved problems in your sleep?

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What determines a model structure?

mathoverflow.net

Mathematical ideas named after places

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"Largest" finite-dimensional Lie subgroups of Diff(S^n), are they known?

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Where is number theory used in the rest of mathematics?

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Counterexamples in algebra?

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Examples of non-diffeomorphic smooth manifolds with diffeomorphic tangent bundle

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Integral cohomology (stable) operations

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Why is BG infinite dimensional for G finite ?

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Does a "Chern character" exist for any generalized cohomology theory?

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Commutator subgroup does not consist only of commutators?

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Can both G and BG be finite CW complexes?

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Why chain homotopy when there is no topology in the background?

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Torsion in the Atiyah–Hirzebruch spectral sequence of a classifying space

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If two Lie algebras are isomorphic, under which conditions will their Lie groups also be isomorphic?

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What is the algebraic geometry version of the spheres?

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Extending a diffeomorphism of the sphere $S^2$ to the ball $D^3$

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What are some examples of colorful language in serious mathematics papers?

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Non trivial vector bundle over non-paracompact contractible space

mathoverflow.net

"Affine communication" for topological manifolds

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