User Paul Siegel

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Does positive scalar curvature imply vanishing of the simplicial volume on a closed Riemannian manifold?

answered Nov 14, 2019 at 1:24

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What is the Essential Difference Between Random Matrices and Random Graphs?

answered Sep 9, 2018 at 9:23

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The spherical harmonics are the EIGENVECTORS of Beltrami operator

answered Jun 21, 2016 at 18:40

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Advanced Differential Geometry Textbook

answered Aug 30, 2015 at 1:26

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An example of a proof that is explanatory but not beautiful? (or vice versa)

answered Sep 24, 2015 at 15:54

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Can eta invariant be written in terms of topological data?

answered Apr 15, 2014 at 19:50

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Examples of famous 'workhorse' theorems

answered Jul 25, 2014 at 0:31

7 votes

Separability of the C*-algebra in the definition of K-homology

answered Sep 20, 2014 at 20:07

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Unconventional examples of mathematical modelling

answered Aug 15, 2019 at 12:12

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Baum-Connes conjecture

answered Feb 1, 2011 at 11:28

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Blackbox Theorems

answered Jun 15, 2012 at 0:14

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What are the benefits of writing vector inner products as $\langle u, v\rangle$ as opposed to $u^T v$?

answered Jul 22, 2020 at 16:04

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McKean-Singer formula in Heat Kernels and Dirac Operators book

answered Jun 18, 2020 at 0:33

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Is the Lie algebra-valued curvature two-form on a principal bundle P the curvature of a vector bundle over P?

answered Jul 12, 2011 at 19:51

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Examples of undergraduate mathematics separation from what mathematicians should know

answered May 18, 2010 at 2:08

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Shortest-path Distances Determining the Metric?

answered May 27, 2010 at 3:51

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What is the smallest $C^*$-algebra containing the "standard" pseudodifferential operators?

answered Aug 30, 2010 at 23:01

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Application of bounded spectral theory.

answered Sep 5, 2010 at 20:00

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Coarse index of Dirac operator on $\mathbb{R}$

answered Jun 11, 2019 at 7:30

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Mathematical physics applications in present-day image processing

answered Apr 27, 2017 at 18:49

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Interesting examples of generic behavior of mathematical objects being either unreasonably structured or simply unreasonable

answered May 14, 2014 at 10:46

5 votes

The "right" $C^*$ algebraic proof of Bott Periodicity

answered May 24, 2013 at 23:46

5 votes

What does it mean for a differential equation "to be integrable"?

answered Nov 23, 2015 at 12:26

5 votes

Classification of principal bundles

answered Feb 21, 2018 at 9:57

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Connection between PageRank and Fiedler vector

answered Jul 13, 2016 at 14:34

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Equivalence of two pictures of odd $K$-theory

answered Sep 24, 2016 at 22:35

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Saddle points and negative scalar curvature

answered Nov 24, 2019 at 5:15

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Geodesics on the sphere

answered Jan 15, 2019 at 11:34

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Comparing the definitions of $K$-theory and $K$-homology for $C^*$-algebras

answered Mar 15, 2019 at 2:28

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Lists of K-homology Groups

answered Mar 23, 2011 at 18:53

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161 Answers

Does positive scalar curvature imply vanishing of the simplicial volume on a closed Riemannian manifold?

What is the Essential Difference Between Random Matrices and Random Graphs?

The spherical harmonics are the EIGENVECTORS of Beltrami operator

Advanced Differential Geometry Textbook

An example of a proof that is explanatory but not beautiful? (or vice versa)

Can eta invariant be written in terms of topological data?

Examples of famous 'workhorse' theorems

Separability of the C*-algebra in the definition of K-homology

Unconventional examples of mathematical modelling

Baum-Connes conjecture

Blackbox Theorems

What are the benefits of writing vector inner products as $\langle u, v\rangle$ as opposed to $u^T v$?

McKean-Singer formula in Heat Kernels and Dirac Operators book

Is the Lie algebra-valued curvature two-form on a principal bundle P the curvature of a vector bundle over P?

Examples of undergraduate mathematics separation from what mathematicians should know

Shortest-path Distances Determining the Metric?

What is the smallest $C^*$-algebra containing the "standard" pseudodifferential operators?

Application of bounded spectral theory.

Coarse index of Dirac operator on $\mathbb{R}$

Mathematical physics applications in present-day image processing

Interesting examples of generic behavior of mathematical objects being either unreasonably structured or simply unreasonable

The "right" $C^*$ algebraic proof of Bott Periodicity

What does it mean for a differential equation "to be integrable"?

Classification of principal bundles

Connection between PageRank and Fiedler vector

Equivalence of two pictures of odd $K$-theory

Saddle points and negative scalar curvature

Geodesics on the sphere

Comparing the definitions of $K$-theory and $K$-homology for $C^*$-algebras

Lists of K-homology Groups