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Michael Albanese
  • Member for 9 years, 9 months
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  • Montreal
213 votes
10 answers
28k views

Exterior Derivative vs. Covariant Derivative vs. Lie Derivative

37 votes
3 answers
1k views

English words in written mathematics

35 votes
2 answers
6k views

When are two semidirect products isomorphic?

26 votes
1 answer
977 views

Is there a complex surface into which every Riemann surface embeds?

21 votes
4 answers
4k views

Common student mistakes/misconceptions in a first year calculus course

18 votes
6 answers
15k views

Differential Equations without Analytical Solutions

18 votes
1 answer
310 views

Which complex manifolds admit a collection of compatible 'charts' $\varphi_{\alpha} : U_{\alpha} \to \mathbb{C}^n$ which cover $X$?

18 votes
2 answers
4k views

Intuition behind the definition of a measurable set

17 votes
2 answers
379 views

Show that the kernel of the map $SL(n, \mathbb{Z}) \to SL(n, \mathbb{Z}/3\mathbb{Z})$ has no torsion.

17 votes
2 answers
625 views

Analogue of the term 'summand' for unions and intersections.

16 votes
1 answer
331 views

Is there a non-trivial group $C$ such that $A*C \cong B*C$ implies $A \cong B$?

15 votes
2 answers
556 views

Complex manifold with subvarieties but no submanifolds

13 votes
2 answers
3k views

What is elliptic bootstrapping?

13 votes
1 answer
988 views

When is a $k$-form a $(p, q)$-form?

13 votes
2 answers
1k views

Can a non-compact manifold have infinite-dimensional cohomology?

12 votes
1 answer
5k views

What is a Holomorphic Vector Field?

12 votes
2 answers
2k views

Is every field the field of fractions for some integral domain?

12 votes
3 answers
3k views

Exterior algebra of a vector bundle

12 votes
1 answer
2k views

Does trivial cohomology imply trivial homology? Does $\operatorname{Hom}(A,\mathbb Z) = \operatorname{Ext}^1(A, \mathbb Z) = 0$ imply $A = 0$?

12 votes
1 answer
506 views

Is the universal cover of an integral homology sphere again an integral homology sphere?

11 votes
1 answer
216 views

Does every vector bundle have a 'tensor inverse'?

11 votes
1 answer
846 views

Exercise $3.1.7$ from Huybrechts' Complex Geometry: An Introduction

11 votes
2 answers
736 views

What can we say about a vector bundle with trivial unit sphere bundle?

11 votes
1 answer
289 views

Show that the set of one-to-one holomorphic maps $\Bbb{C}\setminus\{a,b,c\} \to \Bbb{C}\setminus\{a,b,c\}$ forms a finite group.

10 votes
3 answers
834 views

What is a Kählerian variety?

10 votes
2 answers
2k views

Almost complex structures on spheres

10 votes
1 answer
561 views

Are the higher homotopy groups of a compact manifold finitely generated as $\mathbb{Z}[\pi_1]$-modules?

10 votes
1 answer
663 views

Does there exist a CW complex with prescribed fundamental group and trivial higher homology?

9 votes
1 answer
278 views

Spaces $X$ and $Y$ with $[Z, X]_{\bullet} \cong [Z, Y]_{\bullet}$ for all cogroup objects $Z$ in $\mathsf{hTop}_{\bullet}$

9 votes
1 answer
159 views

Can a free product of groups be co-Hopfian?