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Mike Miller

New York, NY, USA

http://math.columbia.edu/~mmiller

Les soleils couchants \ Revêtent les champs, \ Les canaux, la ville entière, \ D'hyacinthe et d'or; \ Le monde s'endort \ Dans une chaude lumière.

Là, tout n'est qu'ordre et beauté, \ Luxe, calme et volupté.

I'm a postdoc at Columbia. I'm interested in gauge theory and low-dimensional topology.

My email address is smmiller AT ucla DOT edu.

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Top Questions
144 votes

What non-categorical applications are there of homotopical algebra?

ct.category-theory soft-question homotopy-theory asked Jun 6, 2014 at 6:50
mathoverflow.net

72 votes

Does $\Bbb{CP}^{2n} \# \Bbb{CP}^{2n}$ ever support an almost complex structure?

at.algebraic-topology dg.differential-geometry complex-geometry asked Sep 2, 2015 at 20:03
mathoverflow.net

23 votes

Classification of fake (quaternionic, octonionic) projective spaces

reference-request at.algebraic-topology gt.geometric-topology surgery-theory asked May 14, 2016 at 0:44
mathoverflow.net

23 votes

What motivated Rademacher's contour along the Ford circles?

nt.number-theory ho.history-overview analytic-number-theory intuition asked Nov 17, 2013 at 4:54
mathoverflow.net

21 votes

Is the mapping class group of $\Bbb{CP}^n$ known?

reference-request at.algebraic-topology gt.geometric-topology differential-topology mapping-class-groups asked Dec 29, 2019 at 15:40
mathoverflow.net

16 votes

Survey of known results on equivariant transversality

reference-request gt.geometric-topology differential-topology asked Jan 16, 2016 at 2:07
mathoverflow.net

14 votes

Are there Alexander-Whitney maps in geometric homology?

at.algebraic-topology gt.geometric-topology asked Sep 8, 2017 at 1:15
mathoverflow.net

13 votes

Singular cohomology of $BG$ and Borel cohomology of $G$

reference-request at.algebraic-topology lie-groups group-cohomology asked Dec 2, 2014 at 6:01
mathoverflow.net

10 votes

What is the origin of the "Japanese bracket"?

mathematics terminology notation differential-equations asked Feb 20, 2021 at 0:00
hsm.stackexchange.com

10 votes

A minimal $\mathbb Z/2$-invariant Morse function on $U(n)$

at.algebraic-topology gt.geometric-topology differential-topology morse-theory equivariant-cohomology asked Aug 16, 2021 at 17:48
mathoverflow.net

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Top Answers
68
Not all manifolds can be triangulated: In which dimensions?
mathoverflow.net

54
Is SO(4) a subgroup of SU(3)?
mathoverflow.net

40
Exotic $R^4$ as the universal covering space
mathoverflow.net

25
Critical dimensions D for "smooth manifolds iff triangulable manifolds"
mathoverflow.net

24
Manifolds with nonwhere vanishing closed one forms
mathoverflow.net

20
Calculation of $H^{10}(K(\mathbb{Z}, 3); \mathbb{Z})$
mathoverflow.net

19
What happens to a closed manifold to ensure it is homeomorphic to a torus $T^{n}$?
mathoverflow.net

18
Is there a closed non-smoothable 4-manifold with zero Euler characteristic?
mathoverflow.net

17
Are different categories of manifolds non-equivalent (as abstract categories)?
mathoverflow.net

16
Obstruction of spin-c structure and the generalized Wu manifods
mathoverflow.net

15
Complex structure on $S^4$
mathoverflow.net

15
Non-triangulable 4-manifold as a boundary of some 5 manifold
mathoverflow.net

14
Is the top Stiefel-Whitney number of a topological manifold the Euler characteristic mod two?
mathoverflow.net

14
How complicated can a finite double complex over a field be?
mathoverflow.net

13
Stably equivalent but not homotopy equivalent
mathoverflow.net

13
Conversion formula between "generalized" Stiefel-Whitney class of real vector bundles: O(n) and SO(n)
mathoverflow.net

12
Is every linear functional on a smooth finite dimensional vector space automatically smooth?
mathoverflow.net

12
Existence of normal microbundles
mathoverflow.net

12
Is the connected sum of a triangulable manifold with a non-triangulable manifold a non-triangulable manifold?
mathoverflow.net

10
$\pi_0(G)$ as a subgroup of a Lie group $G$
mathoverflow.net

10
Topology change induced by small perturbation
mathoverflow.net

10
Fundamental group of the space of immersions of the 2-sphere in 3-space modulo diffeomorphisms of the first
mathoverflow.net

9
Classifying space of semidirect product of groups
mathoverflow.net

9
Group cohomology with coefficients in a chain complex
mathoverflow.net

9
Intersection form of $2n$-manifold for odd $n$
mathoverflow.net

8
Topological Spin manifolds in dimension 4
mathoverflow.net

8
Nonvanishing section of infinite-dimensional tautological bundle
mathoverflow.net

8
Fixed point set of smooth circle action
mathoverflow.net

7
Cohomogy of local systems over CW-complexes
mathoverflow.net

7
Induced maps on homotopy groups by self maps of $\mathbb{CP}^n$
mathoverflow.net

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