User Eric O. Korman - Mathematics Stack Exchange

208 votes

9 answers

26k views

Importance of Representation Theory

asked Jul 24, 2010 at 2:42

61 votes

4 answers

7k views

Areas versus volumes of revolution: why does the area require approximation by a cone?

asked Oct 16, 2010 at 20:55

42 votes

5 answers

8k views

Motivating Example for Algebraic Geometry/Scheme Theory

asked Jul 30, 2010 at 17:55

26 votes

1 answer

3k views

Local triviality of principal bundles

asked Feb 25, 2011 at 17:21

19 votes

1 answer

2k views

How to Characterize Gradient Vector Fields?

asked May 19, 2012 at 1:18

17 votes

3 answers

2k views

$K(\mathbb R P^n)$ from $K(\mathbb C P^k)$

asked Mar 11, 2011 at 18:55

15 votes

1 answer

431 views

Which continuous functions are polynomials?

asked Aug 2, 2010 at 20:34

13 votes

1 answer

363 views

Is there a characterization of injective $C(X)$-modules analogous to Serre-Swan?

asked May 23, 2011 at 1:03

13 votes

1 answer

962 views

Geometric interpretation of reduction of structure group to $SU(n)$.

asked Apr 22, 2012 at 1:35

12 votes

1 answer

6k views

Tips and examples for a poster presentation in pure mathematics

asked Jun 13, 2012 at 2:10

11 votes

1 answer

679 views

Example of a flat manifold with non-zero (global) holonomy group.

asked Sep 12, 2012 at 2:04

11 votes

2 answers

3k views

Symplectic form on a complex manifold

asked Feb 27, 2011 at 4:57

10 votes

2 answers

1k views

Vanishing of the second Stiefel–Whitney classes of orientable surfaces

asked Nov 20, 2011 at 17:54

9 votes

2 answers

2k views

Hopf invariant formula

asked Dec 17, 2010 at 3:11

9 votes

1 answer

1k views

What is $\pi_i(GL(n))$?

asked Feb 2, 2011 at 18:56

8 votes

1 answer

852 views

Generators of compact Lie groups

asked Jan 27, 2011 at 2:19

8 votes

3 answers

2k views

Definition of the order of a meromorphic function

asked Oct 27, 2011 at 23:13

8 votes

1 answer

578 views

Holomorphic structures on associated bundles

asked Sep 11, 2012 at 15:11

7 votes

1 answer

193 views

Visualising a specific orbifold

asked Mar 6, 2011 at 1:22

7 votes

1 answer

490 views

Complex differential geometric form of the Grothendieck–Hirzebruch–Riemann–Roch theorem

asked Mar 16, 2013 at 18:43

6 votes

0 answers

337 views

Hilbert's syzygy theorem in the analytic setting

asked Jan 8, 2014 at 15:24

5 votes

0 answers

272 views

Complex structures on Riemann surfaces

asked Jul 24, 2014 at 0:32

5 votes

0 answers

523 views

Explicitly realizing Riemann surfaces as a quotient of the upper-half plane

asked Oct 11, 2013 at 16:07

5 votes

1 answer

204 views

Resolution of direct image functor

asked Dec 20, 2013 at 4:21

5 votes

2 answers

1k views

Showing $\mathbb C G$ modules are projective

asked Jul 20, 2011 at 22:02

5 votes

1 answer

313 views

When is $G/H = G/K$? In particular, when are two Lie groups with isomorphic Lie algebras isomorphic?

asked Nov 5, 2010 at 0:52

5 votes

2 answers

437 views

Isomorphism between $\operatorname{Hom}_{\operatorname{End}(V)}(V,W) \otimes V$ and $W$

asked Nov 5, 2011 at 22:04

4 votes

2 answers

2k views

Classification of general fibre bundles

asked Apr 24, 2011 at 17:07

4 votes

1 answer

547 views

Showing $[f^{-1}(y)]$ is Poincare dual to $f^*(\operatorname{vol})$.

asked Apr 13, 2012 at 1:01

4 votes

1 answer

176 views

Showing a certain operator is trace class.

asked Oct 13, 2012 at 23:44

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43 Questions

Importance of Representation Theory

Areas versus volumes of revolution: why does the area require approximation by a cone?

Motivating Example for Algebraic Geometry/Scheme Theory

Local triviality of principal bundles

How to Characterize Gradient Vector Fields?

$K(\mathbb R P^n)$ from $K(\mathbb C P^k)$

Which continuous functions are polynomials?

Is there a characterization of injective $C(X)$-modules analogous to Serre-Swan?

Geometric interpretation of reduction of structure group to $SU(n)$.

Tips and examples for a poster presentation in pure mathematics

Example of a flat manifold with non-zero (global) holonomy group.

Symplectic form on a complex manifold

Vanishing of the second Stiefel–Whitney classes of orientable surfaces

Hopf invariant formula

What is $\pi_i(GL(n))$?

Generators of compact Lie groups

Definition of the order of a meromorphic function

Holomorphic structures on associated bundles

Visualising a specific orbifold

Complex differential geometric form of the Grothendieck–Hirzebruch–Riemann–Roch theorem

Hilbert's syzygy theorem in the analytic setting

Complex structures on Riemann surfaces

Explicitly realizing Riemann surfaces as a quotient of the upper-half plane

Resolution of direct image functor

Showing $\mathbb C G$ modules are projective

When is $G/H = G/K$? In particular, when are two Lie groups with isomorphic Lie algebras isomorphic?

Isomorphism between $\operatorname{Hom}_{\operatorname{End}(V)}(V,W) \otimes V$ and $W$

Classification of general fibre bundles

Showing $[f^{-1}(y)]$ is Poincare dual to $f^*(\operatorname{vol})$.

Showing a certain operator is trace class.