User Dan Fox

47 votes

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Have you ever seen this bizarre commutative algebra?

answered Dec 24, 2018 at 10:57

30 votes

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When is a closed differential form harmonic relative to some metric?

answered Sep 11, 2011 at 10:41

24 votes

Which mathematical ideas have done most to change history?

answered Apr 13, 2011 at 17:05

22 votes

Why is there no symplectic version of spectral geometry?

answered Oct 20, 2017 at 7:45

16 votes

Which great mathematicians were also historians of mathematics?

answered Feb 12, 2021 at 17:35

14 votes

Nonequivalent definitions in Mathematics

answered Nov 24, 2017 at 9:40

12 votes

Research-only permanent positions worldwide

answered Jun 26, 2017 at 5:50

12 votes

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"Famous" 2d Riemannian manifolds with non-constant curvature

answered Apr 29, 2011 at 6:15

12 votes

Real orthogonal and sign

answered Jul 19, 2019 at 10:11

10 votes

"Noncommutative heat equation" -- a strange generalization of Killing vectors for a flat metric

answered Dec 1, 2010 at 10:17

10 votes

Examples of Non-Power Associative Algebras

answered Nov 11, 2011 at 15:47

9 votes

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Why symmetric spaces?

answered Oct 11, 2010 at 10:07

8 votes

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What is the precise statement of the correspondence between stable Higgs bundles on a Riemann surface, solutions to Hitchin's self-duality equations on the Riemann surface, and representations of the fundamental group of the Riemann surface?

answered Oct 6, 2010 at 8:02

8 votes

Mathematicians with both “very abstract” and “very applied” achievements

answered Jan 8, 2020 at 10:44

6 votes

Three dimensional real Lie groups with cocompact discrete subgroups

answered Jun 1, 2021 at 17:38

6 votes

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Upper bound on the sectional curvature of the orthogonal group

answered Oct 8, 2019 at 10:33

6 votes

Basics of classification of trilinear forms (when is it non-discrete)

answered Feb 11, 2013 at 6:56

6 votes

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General description of surface with zero gaussian curvature

answered Jan 3, 2015 at 9:11

5 votes

Math books for advanced high school students

answered Nov 6, 2014 at 7:48

4 votes

Motivations for the study of dual connections

answered Jun 12, 2017 at 8:54

4 votes

Covariant derivative of determinant of the metric tensor

answered Apr 15, 2019 at 10:44

3 votes

References for literature from mathematicians who provided critiques and proposals concerning ethical aspects of mathematics research

answered Oct 1, 2021 at 11:37

3 votes

Reading list for basic differential geometry?

answered Aug 31, 2018 at 17:27

3 votes

Research-level mathematical bookstores

answered Jul 24, 2013 at 19:23

3 votes

Conformal structure determined by principal curvatures

answered Apr 18, 2011 at 8:05

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25 Answers

Have you ever seen this bizarre commutative algebra?

When is a closed differential form harmonic relative to some metric?

Which mathematical ideas have done most to change history?

Why is there no symplectic version of spectral geometry?

Which great mathematicians were also historians of mathematics?

Nonequivalent definitions in Mathematics

Research-only permanent positions worldwide

"Famous" 2d Riemannian manifolds with non-constant curvature

Real orthogonal and sign

"Noncommutative heat equation" -- a strange generalization of Killing vectors for a flat metric

Examples of Non-Power Associative Algebras

Why symmetric spaces?

What is the precise statement of the correspondence between stable Higgs bundles on a Riemann surface, solutions to Hitchin's self-duality equations on the Riemann surface, and representations of the fundamental group of the Riemann surface?

Mathematicians with both “very abstract” and “very applied” achievements

Three dimensional real Lie groups with cocompact discrete subgroups

Upper bound on the sectional curvature of the orthogonal group

Basics of classification of trilinear forms (when is it non-discrete)

General description of surface with zero gaussian curvature

Math books for advanced high school students

Motivations for the study of dual connections

Covariant derivative of determinant of the metric tensor

References for literature from mathematicians who provided critiques and proposals concerning ethical aspects of mathematics research

Reading list for basic differential geometry?

Research-level mathematical bookstores

Conformal structure determined by principal curvatures