User TerronaBell

6

27

votes

4

answers

3k

views

Can Gröbner bases be used to compute solutions to large, real-world problems?

Apr 10 '18 at 19:18 Rodrigo de Azevedo 2,062

13

20

votes

1

answer

4k

views

Fast Fourier Transform for Graph Laplacian?

linear-algebra fourier-analysis sp.spectral-theory graph-theory

Aug 12 '10 at 20:12 dranxo 777

14

17

votes

2

answers

2k

views

How useful/pervasive are differential forms in surface theory?

dg.differential-geometry teaching curves-and-surfaces

Mar 9 '14 at 13:11 Robert Bryant 86.7k

18

17

votes

1

answer

3k

views

Relationship between Green's function and geodesic distance?

dg.differential-geometry ap.analysis-of-pdes sp.spectral-theory

May 7 '12 at 10:38 Liviu Nicolaescu 30.2k

9

votes

4

answers

1k

views

How are invariants represented in category theory?

ct.category-theory symplectic-topology dg.differential-geometry

Feb 5 '11 at 17:13 Tristan 1

2

8

votes

1

answer

1k

views

Growth of Laplacian eigenvalues on a compact domain?

sp.spectral-theory dg.differential-geometry differential-operators laplacian

Oct 9 at 3:36 Amir Sagiv 3,118

3

8

votes

4

answers

1k

views

Existence of triply orthogonal coordinates

dg.differential-geometry

Jul 22 '12 at 19:08 Robert Bryant 86.7k

3

8

votes

2

answers

1k

views

Tweetable way to see that Willmore energy is Möbius invariant?

dg.differential-geometry riemannian-geometry hyperbolic-geometry

Jun 14 '12 at 22:26 Yuri Vyatkin 209

1

7

votes

0

answers

409

views

Quotient of 3-sphere by binary octahedral group?

gt.geometric-topology gr.group-theory lie-groups differential-topology dg.differential-geometry

May 25 '13 at 22:50 TerronaBell 2,759

1

5

votes

3

answers

563

views

Estimates for the diameter of a (nice) surface?

dg.differential-geometry sp.spectral-theory

Jan 30 '18 at 2:14 Martin Sleziak 4,257

1

5

votes

3

answers

433

views

How hard is it to determine if a weighted graph can be isometrically embedded in R^3?

graph-theory mg.metric-geometry discrete-geometry computational-geometry metric-embeddings

Feb 10 '14 at 7:06 Community♦ 1

3

5

votes

2

answers

681

views

Surface Laplace-Beltrami without coordinates, exterior calculus?

teaching surfaces dg.differential-geometry differential-operators

Oct 22 '12 at 2:24 Deane Yang 23.6k

2

5

votes

1

answer

359

views

Is there a name for this differential operator and/or its corresponding spectrum?

sp.spectral-theory dg.differential-geometry ds.dynamical-systems

Jan 26 '10 at 15:43 TerronaBell 2,759

2

4

votes

1

answer

240

views

The space of circular triangles?

mg.metric-geometry

Oct 10 '13 at 3:33 TerronaBell 2,759

1

4

votes

2

answers

1k

views

Area of a Convex Polygon (Described via Half-Planes)

computational-geometry

Jan 24 '12 at 17:36 Joseph O'Rourke 137k

1

4

votes

2

answers

553

views

How do you solve linear systems whose solutions decay exponentially?

na.numerical-analysis sp.spectral-theory heat-equation

Nov 3 '11 at 8:38 Federico Poloni 16.2k

5

4

votes

3

answers

789

views

Variational characterization of curvature?

dg.differential-geometry mg.metric-geometry

Jan 7 '10 at 19:42 Deane Yang 23.6k

2

3

votes

1

answer

492

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Does the operator $\mathrm{id}-t\Delta$ or its Green's function have a name?

differential-operators differential-equations ap.analysis-of-pdes elliptic-pde dg.differential-geometry

Aug 7 '12 at 21:39 Rafe Mazzeo 1,944

4

3

votes

0

answers

2k

views

Relationship between geodesics and curvature lines on surfaces?

dg.differential-geometry riemannian-geometry mg.metric-geometry

Apr 29 '10 at 19:31 TerronaBell 2,759

1

3

votes

1

answer

357

views

Singular, holonomy-free connections on Riemannian surfaces?

dg.differential-geometry gt.geometric-topology

Apr 23 '10 at 21:22 Community♦ 1

1

3

votes

1

answer

1k

views

Maximizing Sparsity in l1 Minimization?

oc.optimization-and-control na.numerical-analysis mg.metric-geometry

Feb 8 '10 at 18:35 TerronaBell 2,759

2

votes

2

answers

375

views

Gap between first two nonzero Laplacian eigenvalues on closed compact surface?

dg.differential-geometry sp.spectral-theory

May 2 '13 at 19:11 Ian Agol 58.4k

1

vote

1

answer

219

views

Distributions induced by (weighted) random walks on the integer lattice

random-walks markov-chains graph-theory na.numerical-analysis

Aug 21 '12 at 0:43 Will Sawin 87.2k

1

vote

1

answer

421

views

Projection onto a quadratic cone?

oc.optimization-and-control na.numerical-analysis ag.algebraic-geometry

Apr 10 '12 at 23:22 Community♦ 1

2

1

vote

2

answers

5k

views

If a quadratic form is positive definite on a convex set, is it convex on that set?

convexity oc.optimization-and-control mg.metric-geometry

Dec 31 '09 at 16:14 TerronaBell 2,759

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25 Questions

Can Gröbner bases be used to compute solutions to large, real-world problems?

Fast Fourier Transform for Graph Laplacian?

How useful/pervasive are differential forms in surface theory?

Relationship between Green's function and geodesic distance?

How are invariants represented in category theory?

Growth of Laplacian eigenvalues on a compact domain?

Existence of triply orthogonal coordinates

Tweetable way to see that Willmore energy is Möbius invariant?

Quotient of 3-sphere by binary octahedral group?

Estimates for the diameter of a (nice) surface?

How hard is it to determine if a weighted graph can be isometrically embedded in R^3?

Surface Laplace-Beltrami without coordinates, exterior calculus?

Is there a name for this differential operator and/or its corresponding spectrum?

The space of circular triangles?

Area of a Convex Polygon (Described via Half-Planes)

How do you solve linear systems whose solutions decay exponentially?

Variational characterization of curvature?

Does the operator $\mathrm{id}-t\Delta$ or its Green's function have a name?

Relationship between geodesics and curvature lines on surfaces?

Singular, holonomy-free connections on Riemannian surfaces?

Maximizing Sparsity in l1 Minimization?

Gap between first two nonzero Laplacian eigenvalues on closed compact surface?

Distributions induced by (weighted) random walks on the integer lattice

Projection onto a quadratic cone?

If a quadratic form is positive definite on a convex set, is it convex on that set?