MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up.

Sign up to join this community
Anybody can ask a question
Anybody can answer
The best answers are voted up and rise to the top

Top Questions

39 votes
12 answers
9k views

Is amateur research in mathematics viable?

22 votes
6 answers
4k views

British "unrigorous" mathematics work prior to G.H. Hardy

24 votes
4 answers
4k views

Is spherical trigonometry a dead research area?

15 votes
4 answers
976 views

Can one glue De Rham cohomology classes on a differential manifolds?

10 votes
1 answer
2k views

Has this number-theoretic constant been studied?

13 votes
2 answers
1k views

Polynomial values are powers of two

18 votes
1 answer
887 views

Can we state the Riemann Hypothesis part of the Weil conjectures directly in terms of the count of points?

11 votes
2 answers
272 views

Behavior of $|f'(z)|/(1+|f(z)|^2)$ as $|z| \rightarrow \infty$?

7 votes
3 answers
732 views

Examples of five-adjoint systems

7 votes
3 answers
376 views

Why mpmath computes $\sum_{n=2}^\infty (-1)^n\log(n)=\log\left(\frac1 2 \sqrt{2} \sqrt{\pi}\right)$

6 votes
2 answers
369 views

The convex hull of a manifold whose cobordism class is trivial

3 votes
3 answers
1k views

Surprisingly long closed form for simple series

10 votes
1 answer
422 views

Does a compact contractible metric space have a point that is fixed by all isometries?

12 votes
1 answer
177 views

Are the symmetric spaces $\operatorname{SU}(n)/{\operatorname{SO}(n)}$ always nontrivial in the bordism rings for $n>2$?

9 votes
1 answer
505 views

Can a variety acquire points in a purely transcendental extension?

6 votes
2 answers
377 views

Is the ideal product presheaf a sheaf? Do we have any reasons to believe it will be / it won't?

7 votes
1 answer
327 views

Field extensions over which algebraic varieties cannot acquire points

7 votes
1 answer
280 views

Complex vector bundles on compact complex manifolds

6 votes
1 answer
402 views

Max decoupling inequality

1 vote
2 answers
267 views

Naturally occurring examples of categories where composition depends on objects

3 votes
1 answer
297 views

Supercuspidal, spherical and discrete series representation

2 votes
1 answer
258 views

Prove positivity of rational functions

7 votes
1 answer
192 views

A curious $q$-series identity on a truncated Euler function

2 votes
1 answer
224 views

Is the reduced scheme associated to a Cartier divisor always Cartier?

7 votes
2 answers
198 views

Deformation of (locally) ringed spaces and of their abelian categories of modules

8 votes
2 answers
242 views

Symmetries of contractable subsets of $\Bbb R^n$

8 votes
1 answer
280 views

What is $TP(\mathbb{Z}_p)$?

4 votes
1 answer
167 views

Difference between stabilizer and automorphism group of subvariety of an abelian variety

4 votes
1 answer
198 views

Takesaki lemma 1.16 (volume II, chapter VII)

8 votes
1 answer
251 views

Connection between Grothendieck's homotopy hypothesis and Lie's second and third theorems?

3 votes
1 answer
174 views

Free algebras from model theory perspective

4 votes
1 answer
273 views

Stone-Čech compactification

3 votes
1 answer
160 views

Geometric interpretation of shuffle product

3 votes
1 answer
104 views

A system of $2N$ equations resembling a Vandermonde matrix

7 votes
2 answers
127 views

What is the quotient group $D^*/{F^*(1+P_D)}$ for a quaternion division algebra $D$ over a local field $F$?

1 vote
1 answer
205 views

Is this long closed form for pi trivial?

4 votes
1 answer
159 views

Functoriality conjectures on the slice filtration

2 votes
1 answer
190 views

Euler's totient phi and a prime

4 votes
1 answer
243 views

Which varieties are sums of tensor powers of the Lefschetz motive?

5 votes
1 answer
112 views

Bernstein's corollary for the case of half space

4 votes
1 answer
82 views

$BP$-Adams Novikov Spectral Sequence or Homotopy groups of $S/3$

2 votes
1 answer
134 views

An ODE is linear if and only if the maximal solutions are a linear space?

4 votes
1 answer
102 views

Find all 2-planar drawings of $K_6$ and $K_7$

6 votes
1 answer
258 views

Prove that $\overline{a}_{11}$ is a prime element in $R$

3 votes
1 answer
151 views

Explanation of a step in a work by C. E. Kenig and A.D. Ionescu

10 votes
0 answers
248 views
+50

Can you perturb an inscribed polytope so all its edges grow?

2 votes
1 answer
193 views

Lie algebroid in algebraic geometry

5 votes
1 answer
89 views

Is every folk cofibration of strict $\omega$-categories a monomorphism?


Looking for more? Browse the complete list of questions, or popular tags. Help us answer unanswered questions.