Paul Siegel's user avatar
Paul Siegel's user avatar
Paul Siegel's user avatar
Paul Siegel
  • Member for 14 years, 1 month
  • Last seen this week
133 votes

Why should one still teach Riemann integration?

73 votes

Replication crisis in mathematics

67 votes

Quick proofs of hard theorems

60 votes
Accepted

What is the significance of non-commutative geometry in mathematics?

59 votes

What are the most misleading alternate definitions in taught mathematics?

58 votes

On which regions can Green's theorem not be applied?

54 votes

What is your favorite isomorphism?

53 votes

Motivation for and history of pseudo-differential operators

51 votes

When and how is it appropriate for an undergraduate to email a professor out of the blue?

50 votes

Any real contribution of functional analysis to quantum theory as a branch of physics?

49 votes

Are there examples of non-orientable manifolds in nature?

48 votes

What are the uses of the homotopy groups of spheres?

42 votes
Accepted

Intuitive explanation for the Atiyah-Singer index theorem

35 votes
Accepted

Analysis from a categorical perspective

33 votes

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

33 votes

Why have mathematicians used differential equations to model nature instead of difference equations

32 votes

Should computer code be included within publications that present numerical results?

30 votes
Accepted

When is something too big to be a set?

30 votes
Accepted

Classical geometric interpretation of spinors

29 votes

Why higher category theory?

28 votes

Is there a nice application of category theory to functional/complex/harmonic analysis?

27 votes
Accepted

Applications of algebraic geometry to machine learning

27 votes

What problem in pure mathematics required solution techniques from the widest range of math sub-disciplines?

26 votes

List of proofs where existence through probabilistic method has not been constructivised

26 votes
Accepted

More recent introductory text on Differential Geometry similar to Kobayashi/Nomizu

26 votes
Accepted

'Category-theory'-free areas of pure math, 'category-theory'-loaded areas of applied math

24 votes

How many quit mathematics because they (are afraid that they) can not find a permanent job?

23 votes

Is data science mathematically interesting?

23 votes

Is Euclid dead?

22 votes

Atiyah-Singer style index theorem for elliptic cohomology?

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