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31

votes

6

answers

2k

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Learning roadmap for Foundations of Mathematics (for the working mathematician)

answered 2 days ago nomen 171

11

votes

3

answers

800

views

Cubic polynomials over finite fields whose roots are quadratic residues or non-residues

nt.number-theory galois-theory finite-fields field-extensions

modified Dec 26 at 14:54 FranzNietzsche 163

11

votes

2

answers

601

views

Distinguish smooth affine algebraic group by its underlying variety

ag.algebraic-geometry algebraic-groups

modified Dec 26 at 11:49 Guntram 3,900

4

votes

6

answers

309

views

Important combinatorial and algebraic interpretations of the coefficients in the polynomial $[n]!_q = (1+q)(1+q+q^2) \ldots (1+q+\cdots + q^{n-1})$

co.combinatorics gr.group-theory big-list generating-functions q-analogs

modified 10 hours ago Sam Hopkins 10.2k

15

votes

2

answers

441

views

Functional approach vs jet approach to Lagrangian field theory

dg.differential-geometry fa.functional-analysis calculus-of-variations jets

answered 20 hours ago Tobias Diez 4,042

5

votes

2

answers

592

views

Is the result of Schmidt conditional to RH

nt.number-theory analytic-number-theory prime-numbers

modified yesterday GH from MO 67.4k

11

votes

3

answers

611

views

Reading list for Equivariant Cohomology

ag.algebraic-geometry reference-request at.algebraic-topology sg.symplectic-geometry equivariant-cohomology

modified yesterday LSpice 3,634

14

votes

2

answers

523

views

+50

Prove $\frac{\text{Area}_1}{c_1^2}+\frac{\text{Area}_2}{c_2^2}\neq \frac{\text{Area}_3}{c_3^2}$ for all primitive Pythagorean triples

nt.number-theory diophantine-equations pythagorean-triples

modified 7 hours ago PMaynard 191

8

votes

2

answers

326

views

Supremum of $ a_n = a_{n-1}^3 - a_{n-2} $ [closed]

real-analysis ds.dynamical-systems polynomials recurrences closed-form-expressions

modified Dec 25 at 4:33 LeechLattice 4,231

8

votes

2

answers

233

views

Lower bound for the order of a simple group with a given class number

gr.group-theory rt.representation-theory finite-groups algebraic-combinatorics gap

modified Dec 25 at 21:13 Geoff Robinson 32.6k

6

votes

1

answer

394

views

Do there exist three pairwise independent random variables, such that their sum is zero?

pr.probability probability-distributions

modified Dec 23 at 22:41 Iosif Pinelis 30.5k

7

votes

2

answers

121

views

Examples of non-cubulated hyperbolic groups

gr.group-theory geometric-group-theory

answered yesterday HJRW 19.4k

5

votes

2

answers

206

views

Is there a reasonable notion of spectral theorem on a pre-Hilbert space?

fa.functional-analysis mp.mathematical-physics sp.spectral-theory hilbert-spaces quantum-mechanics

answered yesterday Nik Weaver 28k

8

votes

1

answer

261

views

The (possibly negative) integers arising from sum of elements in any column of the character table

gr.group-theory rt.representation-theory

modified yesterday Geoff Robinson 32.6k

6

votes

1

answer

286

views

+50

Small automorphism groups of groups

gr.group-theory finite-groups sequences-and-series automorphism-groups

modified 2 days ago Martin Sleziak 3,910

4

votes

1

answer

457

views

Is there a gap or flaw in Lang's proof of Dirichlet's $S$-units theorem?

nt.number-theory algebraic-number-theory

modified Dec 25 at 5:48 Vadim Alekseev 744

7

votes

1

answer

224

views

Are the L-functions of a normalized newform and the corresponding cuspidal representation equal?

nt.number-theory reference-request modular-forms automorphic-forms l-functions

modified Dec 25 at 20:43 GH from MO 67.4k

4

votes

2

answers

159

views

Topology/geometry of $O(2n)/U(n)$

reference-request dg.differential-geometry gt.geometric-topology

answered 11 hours ago Robert Bryant 76.2k

9

votes

1

answer

224

views

Software and ideas for workshops and conferences with long-distance participants

soft-question math-communication conferences software

answered yesterday godelian 3,454

8

votes

1

answer

251

views

Isomorphic Jacobian Varieties Just Like Abelian Varieties — Torelli's Theorem

ag.algebraic-geometry abelian-varieties riemann-surfaces

modified Dec 24 at 12:06 Simpleton 1,667

3

votes

1

answer

237

views

Is the Hilbert space-filling curve bijective over computable numbers?

computability-theory computable-analysis space-filling-curves

modified Dec 26 at 14:11 Mehmet Ozan Kabak 632

8

votes

1

answer

237

views

The direct product of the geometric fundamental group and the absolute Galois group

ag.algebraic-geometry arithmetic-geometry fundamental-group

answered Dec 26 at 21:26 Felipe Voloch 28.3k

4

votes

1

answer

126

views

Groups for which all projections of $C^*_{\text{red}}G$ belong to $\mathbb{C}G$

gr.group-theory ra.rings-and-algebras oa.operator-algebras c-star-algebras group-rings

modified yesterday Vadim Alekseev 744

6

votes

2

answers

94

views

Limit of alternated row and column normalizations

matrices ds.dynamical-systems induction

modified yesterday LeechLattice 4,231

2

votes

1

answer

117

views

So what exactly are perverse sheaves anyway?

ct.category-theory derived-categories perverse-sheaves

answered 2 hours ago Greg Friedman 3,777

5

votes

3

answers

187

views

Is there a good approximation for this Gaussian-like integration?

integration gaussian

modified 2 days ago user64494 2,879

15

votes

0

answers

228

views

Is the mapping class group of $\Bbb{CP}^n$ known?

reference-request at.algebraic-topology gt.geometric-topology differential-topology mapping-class-groups

asked 16 hours ago Mike Miller 5,743

4

votes

1

answer

160

views

Morphisms of flat families of sheaves

ag.algebraic-geometry sheaf-theory

modified Dec 25 at 2:06 Walter field 117

8

votes

0

answers

323

views

Is there a Calabi-Yau threefold with $h^{1,1}=1$ and $h^{1,2}=0$?

ag.algebraic-geometry complex-geometry calabi-yau

modified Dec 26 at 9:57 LeechLattice 4,231

3

votes

1

answer

114

views

Cohomology algebra of a fibration whose spectral sequence degenerates in the second term

at.algebraic-topology

modified Dec 25 at 14:01 MKO 14.7k

1

vote

1

answer

146

views

A formula for a right adjoint in terms of a left

ct.category-theory lattice-theory posets

modified yesterday Anon 41

4

votes

1

answer

182

views

Measure of subsets of profinite groups

gr.group-theory profinite-groups haar-measure

answered Dec 24 at 11:05 Matteo Vannacci 106

1

vote

1

answer

129

views

Algebra of Hecke operators on $M_k(\mathrm{SL}_2\mathbb{Z})$ is an integral domain?

modular-forms hecke-algebras hecke-operators

modified Dec 26 at 21:01 reuns 1,814

2

votes

1

answer

127

views

What is the Teichmuller metric on the Teichmuller space of a closed surface of genus 1?

gt.geometric-topology teichmuller-theory

answered Dec 26 at 13:15 M. Dus 1,046

0

votes

1

answer

93

views

Are hypergraphs $H=(V,E)$ with $|E|=|V|$ $2$-colorable?

infinite-combinatorics hypergraph

answered Dec 26 at 13:36 Péter Komjáth 6,476

0

votes

1

answer

193

views

Real part of entire function property

fa.functional-analysis cv.complex-variables

modified Dec 26 at 13:17 Alexandre Eremenko 58.6k

11

votes

0

answers

168

views

Preservation of chain condition under strategically closed forcing

set-theory lo.logic forcing infinite-combinatorics

asked Dec 23 at 18:03 Monroe Eskew 12.9k

5

votes

0

answers

197

views

A definable gender problem related to Sacks reals

set-theory lo.logic forcing

modified yesterday Vladimir Kanovei 1,753

11

votes

0

answers

151

views

Non-isomorphic curves with isomorphic Jacobians

ag.algebraic-geometry

modified Dec 25 at 15:39 abx 26.3k

1

vote

1

answer

114

views

Comparing $(((A^\varepsilon)')^\varepsilon)'$ and $int(A)$, where $A' := X\setminus A$ and $A^\varepsilon := \{x \in X \mid d(x,A) \le \varepsilon\}$

gn.general-topology measure-theory metric-spaces

answered Dec 25 at 18:26 Yuval Peres 3,845

5

votes

1

answer

187

views

$GL(\infty)$ group action through the boson-fermion correspondence

lie-groups mp.mathematical-physics integrable-systems vertex-algebras

modified 2 days ago Esa Pulkkinen 1

0

votes

1

answer

182

views

K3 Surfaces : Derivations and automorphisms

ag.algebraic-geometry ac.commutative-algebra

answered 7 hours ago Devlin Mallory 190

-1

votes

0

answers

218

views

How does number theorist treat variety and scheme? [closed]

ag.algebraic-geometry nt.number-theory

modified Dec 26 at 2:19 nzqr 5

3

votes

0

answers

213

views

If $p^2 - q^2$ is a perfect square where $p$ and $q$ are primes $> 5000$ then is one of its prime factors always greater than $17$? [closed]

nt.number-theory analytic-number-theory prime-numbers factorization

modified yesterday Nilotpal Kanti Sinha 3,320

4

votes

1

answer

164

views

Wrapping juggling balls

mg.metric-geometry packing-and-covering sphere-packing

modified 6 hours ago Joseph O'Rourke 130k

0

votes

1

answer

98

views

PDF of $z = \exp(j\varphi)$, where $\varphi \sim \mathcal{U}[-a, +a]$ [closed]

pr.probability probability-distributions closed-form-expressions

modified Dec 24 at 19:31 Iosif Pinelis 30.5k

1

vote

1

answer

198

views

an identity between two elliptic integrals

ca.classical-analysis-and-odes

modified yesterday mark 135

-3

votes

0

answers

197

views

Proving theorems in Presburger arithmetic [closed]

lo.logic

modified Dec 26 at 4:53 VS. 521

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