Hottest Questions This Week

39 votes

12 answers

9k views

Is amateur research in mathematics viable?

gm.general-mathematics

Hollis Williams

4,131

answered May 13 at 17:49

22 votes

6 answers

4k views

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

ho.history-overview elementary-proofs

Trunk

329

modified 35 mins ago

24 votes

4 answers

4k views

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soft-question ho.history-overview gm.general-mathematics

Matt F.

16.5k

modified 1 hour ago

15 votes

4 answers

976 views

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differential-topology sheaf-theory derham-cohomology

Georges Elencwajg

44.7k

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10 votes

1 answer

2k views

Has this number-theoretic constant been studied?

nt.number-theory reference-request analytic-number-theory

Jukka Kohonen

2,802

modified May 13 at 8:19

13 votes

2 answers

1k views

Polynomial values are powers of two

nt.number-theory polynomials arithmetic-geometry algebraic-curves

Fedor Petrov

86.8k

modified 2 days ago

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?

ag.algebraic-geometry algebraic-number-theory motives

hans ficter

423

modified yesterday

11 votes

2 answers

272 views

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

cv.complex-variables analytic-functions

Christian Remling

16.2k

modified yesterday

7 votes

3 answers

732 views

Examples of five-adjoint systems

ag.algebraic-geometry ct.category-theory topos-theory

John Baez

19.3k

modified 7 hours ago

7 votes

3 answers

376 views

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

ca.classical-analysis-and-odes sequences-and-series closed-form-expressions sage

Gerald Edgar

36.3k

modified 20 hours ago

6 votes

2 answers

369 views

The convex hull of a manifold whose cobordism class is trivial

dg.differential-geometry riemannian-geometry differential-topology smooth-manifolds

Daniele Tampieri

4,225

modified 17 hours ago

3 votes

3 answers

1k views

Surprisingly long closed form for simple series

nt.number-theory sequences-and-series closed-form-expressions

Deepak

103

modified yesterday

10 votes

1 answer

422 views

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

gt.geometric-topology mg.metric-geometry metric-spaces symmetry isometry-groups

YCor

51.1k

modified May 13 at 20:11

12 votes

1 answer

177 views

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

at.algebraic-topology differential-topology cobordism symmetric-spaces calabi-yau

jdc

2,939

modified May 13 at 16:04

9 votes

1 answer

505 views

Can a variety acquire points in a purely transcendental extension?

ag.algebraic-geometry

Ariyan Javanpeykar

9,052

modified May 11 at 19:53

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?

ag.algebraic-geometry sheaf-theory ideals

Louis Jaburi

226

answered 5 hours ago

7 votes

1 answer

327 views

Field extensions over which algebraic varieties cannot acquire points

ag.algebraic-geometry birational-geometry fields rational-points

Will Sawin

114k

answered May 11 at 13:28

7 votes

1 answer

280 views

Complex vector bundles on compact complex manifolds

at.algebraic-topology complex-geometry vector-bundles

Michael Albanese

16.9k

modified May 11 at 14:30

6 votes

1 answer

402 views

Max decoupling inequality

pr.probability

Iosif Pinelis

76k

answered yesterday

1 vote

2 answers

267 views

Naturally occurring examples of categories where composition depends on objects

ct.category-theory big-list

Mark Wildon

10.3k

modified May 12 at 18:43

3 votes

1 answer

297 views

Supercuspidal, spherical and discrete series representation

nt.number-theory rt.representation-theory automorphic-forms

paul garrett

21.2k

modified May 12 at 17:11

2 votes

1 answer

258 views

Prove positivity of rational functions

reference-request co.combinatorics real-analysis elementary-proofs

Max Alekseyev

25.2k

modified May 12 at 17:44

7 votes

1 answer

192 views

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

co.combinatorics hypergeometric-functions q-analogs q-identities q-series

Fedor Petrov

86.8k

modified 17 hours ago

2 votes

1 answer

224 views

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

ag.algebraic-geometry divisors

Peter Mortensen

193

modified May 12 at 18:49

7 votes

2 answers

198 views

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

ag.algebraic-geometry ct.category-theory deformation-theory abelian-categories

DamienC

7,493

answered May 13 at 11:28

8 votes

2 answers

242 views

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

gt.geometric-topology mg.metric-geometry discrete-geometry symmetry

LSpice

7,343

modified 2 days ago

8 votes

1 answer

280 views

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

at.algebraic-topology homotopy-theory p-adic-hodge-theory hochschild-homology

John Rognes

7,106

answered May 12 at 20:39

4 votes

1 answer

167 views

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

ag.algebraic-geometry complex-geometry abelian-varieties

abx

34.2k

answered May 10 at 16:11

4 votes

1 answer

198 views

Takesaki lemma 1.16 (volume II, chapter VII)

fa.functional-analysis oa.operator-algebras operator-theory von-neumann-algebras weights

Matthew Daws

17k

modified May 14 at 11:01

8 votes

1 answer

251 views

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homotopy-theory lie-groups groupoids lie-groupoids lie-algebroids

Dmitri Pavlov

29.5k

answered 20 hours ago

3 votes

1 answer

174 views

Free algebras from model theory perspective

reference-request lo.logic model-theory universal-algebra

Keith Kearnes

9,125

modified yesterday

4 votes

1 answer

273 views

Stone-Čech compactification

lo.logic gn.general-topology stone-cech-compactification

Tomasz Kania

10.9k

modified May 12 at 10:43

3 votes

1 answer

160 views

Geometric interpretation of shuffle product

at.algebraic-topology ra.rings-and-algebras homological-algebra group-cohomology

LSpice

7,343

modified May 11 at 15:50

3 votes

1 answer

104 views

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

linear-algebra

Alexandre Eremenko

77k

modified yesterday

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 $F$?

gr.group-theory algebraic-number-theory p-adic-groups division-algebras central-simple-algebras

LSpice

7,343

modified 1 hour ago

1 vote

1 answer

205 views

Is this long closed form for pi trivial?

ca.classical-analysis-and-odes sequences-and-series closed-form-expressions

Gerald Edgar

36.3k

answered 23 hours ago

4 votes

1 answer

159 views

Functoriality conjectures on the slice filtration

ag.algebraic-geometry motives motivic-cohomology motivic-homotopy slice-filtration

Z. M

534

modified May 13 at 21:23

2 votes

1 answer

190 views

Euler's totient phi and a prime

nt.number-theory

Fedor Petrov

86.8k

modified May 13 at 18:43

4 votes

1 answer

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ag.algebraic-geometry motives

Donu Arapura

31.7k

modified 12 hours ago

5 votes

1 answer

112 views

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ap.analysis-of-pdes elliptic-pde

Daniele Tampieri

4,225

modified 2 days ago

4 votes

1 answer

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homotopy-theory stable-homotopy spectral-sequences

John Rognes

7,106

answered May 12 at 21:17

2 votes

1 answer

134 views

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

differential-equations

Alexandre Eremenko

77k

modified 2 days ago

4 votes

1 answer

102 views

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

co.combinatorics graph-theory topological-graph-theory graph-drawing

Jan Kyncl

5,406

answered May 12 at 21:27

6 votes

1 answer

258 views

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

ag.algebraic-geometry rt.representation-theory ac.commutative-algebra quivers

FreePawn

291

modified May 13 at 13:55

3 votes

1 answer

151 views

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

fa.functional-analysis ap.analysis-of-pdes ca.classical-analysis-and-odes fourier-analysis fourier-transform

András Bátkai

4,546

modified May 13 at 16:21

10 votes

0 answers

248 views

+50

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

reference-request mg.metric-geometry convex-polytopes abstract-polytopes

Miek Messerschmidt

748

modified May 14 at 8:17

2 votes

1 answer

193 views

Lie algebroid in algebraic geometry

ag.algebraic-geometry dg.differential-geometry lie-algebras positive-characteristic lie-algebroids

Niels

3,733

modified May 13 at 15:34

5 votes

1 answer

89 views

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

reference-request ct.category-theory higher-category-theory

Simon Henry

32.2k

answered May 13 at 4:24

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