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Top Questions
94
votes
The mathematical theory of Feynman integrals
fa.functional-analysis
mp.mathematical-physics
pr.probability
gt.geometric-topology
feynman-integral
asked May 15, 2010 at 21:45
mathoverflow.net
61
votes
The topological analog of flatness?
ag.algebraic-geometry
at.algebraic-topology
gt.geometric-topology
asked Aug 10, 2010 at 3:15
mathoverflow.net
59
votes
Italian school of algebraic geometry and rigorous proofs
ag.algebraic-geometry
ho.history-overview
asked Mar 7, 2010 at 3:20
mathoverflow.net
58
votes
Polynomials having a common root with their derivatives
polynomials
ag.algebraic-geometry
open-problem
asked Jun 11, 2010 at 18:52
mathoverflow.net
55
votes
Kirby calculus and local moves
gt.geometric-topology
knot-theory
3-manifolds
surgery-theory
kirby-calculus
asked Jul 7, 2010 at 22:58
mathoverflow.net
45
votes
A geometric interpretation of the Levi-Civita connection?
dg.differential-geometry
riemannian-geometry
connections
principal-bundles
asked Aug 1, 2010 at 7:20
mathoverflow.net
36
votes
Categorical construction of the category of schemes?
ag.algebraic-geometry
ct.category-theory
schemes
algebraic-spaces
stacks
asked May 30, 2010 at 21:21
mathoverflow.net
36
votes
The Jouanolou trick
ag.algebraic-geometry
at.algebraic-topology
asked Dec 1, 2009 at 4:46
mathoverflow.net
33
votes
Noncommutative rational homotopy type
at.algebraic-topology
homotopy-theory
homological-algebra
asked Dec 17, 2009 at 1:59
mathoverflow.net
32
votes
Proof of the Reidemeister theorem
gt.geometric-topology
knot-theory
reference-request
soft-question
asked Feb 13, 2010 at 23:35
mathoverflow.net
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Top Answers
56
Mathematical "urban legends"
mathoverflow.net
52
Can non-homeomorphic spaces have homeomorphic squares?
mathoverflow.net
50
What universities have laid off tenured math faculty for financial reasons?
mathoverflow.net
46
Mathematical "urban legends"
mathoverflow.net
43
Your favorite surprising connections in mathematics
mathoverflow.net
40
Math puzzles for dinner
mathoverflow.net
38
Analytic tools in algebraic geometry
mathoverflow.net
38
Why do so many textbooks have so much technical detail and so little enlightenment?
mathoverflow.net
35
What are some open problems in algebraic geometry?
mathoverflow.net
30
How has modern algebraic geometry affected other areas of math?
mathoverflow.net
29
Famous mathematicians with background in arts/humanities/law etc
mathoverflow.net
28
Mathematical "urban legends"
mathoverflow.net
23
Facts from algebraic geometry that are useful to non-algebraic geometers
mathoverflow.net
20
(Co)homology of the Eilenberg-MacLane spaces K(G,n)
mathoverflow.net
20
Are the stiefel-Whitney classes of the tangent bundle determined by the mod 2 cohomology?
mathoverflow.net
20
If the total Chern class of a vector bundle factors, does it have a sub-bundle?
mathoverflow.net
19
Multiplicativity of Euler characteristic for non-orientable fibrations
mathoverflow.net
19
Can a Lie group as an abstract group be given more than one topology making it a Lie group?
mathoverflow.net
19
On the fundamental group of hypersurfaces
mathoverflow.net
19
What are some of the big open problems in 3-manifold theory?
mathoverflow.net
19
Non-stably trivial bundle with trivial characteristic classes
mathoverflow.net
18
How to prove that a projective variety is a finite CW complex?
mathoverflow.net
18
Classification problem for non-compact manifolds
mathoverflow.net
18
Rolle's theorem in n dimensions
mathoverflow.net
17
Grassmannian bundle theorem
mathoverflow.net
16
Is there a complex structure on the 6-sphere?
mathoverflow.net
16
singular homology of a differential manifold
mathoverflow.net
16
Why is cotangent more canonical than tangent?
mathoverflow.net
16
Birational invariants and fundamental groups
mathoverflow.net
16
How do professional mathematicians learn new things?
mathoverflow.net
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mathoverflow.net