User Sanchez - Mathematics Stack Exchange

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64

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Best Sets of Lecture Notes and Articles

may 9 at 21:19 Andrew 1,643

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40

votes

3

answers

895

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Paul Erdos's Two-Line Functional Analysis Proof

functional-analysis reference-request math-history

feb 15 at 4:12 zyx 11k

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14

votes

4

answers

848

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An Inequality problem relating $\prod\limits^n(1+a_i^2)$ and $\sum\limits^n a_i$

inequality

nov 17 at 5:05 y zhao 833

15

16

votes

3

answers

813

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Consequences of Degree Theory

reference-request algebraic-topology differential-topology

may 10 at 18:05 Asaf Karagila 91.2k

18

31

votes

5

answers

800

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Studying for the Putnam Exam

big-list contest-math self-learning learning

apr 4 at 7:50 zyx 11k

11

15

votes

4

answers

700

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Advanced algebraic topology topics overview

algebraic-topology big-picture

mar 25 '12 at 4:41 Daniel Moskovich 1,771

8

20

votes

2

answers

605

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How do different definitions of “degree” coincide?

algebraic-geometry algebraic-topology differential-topology riemann-surfaces

nov 23 at 15:32 Javier Álvarez 4,794

11

17

votes

2

answers

587

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Applications of the Jordan-Hölder Theorem.

abstract-algebra group-theory reference-request modules

apr 10 at 8:43 azimut 5,488

5

13

votes

1

answer

458

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Categorification of $\pi$?

number-theory category-theory groupoids

jan 12 at 3:20 Martin Brandenburg 22.8k

12

34

votes

3

answers

395

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The resemblance between Mordell's theorem and Dirichlet's unit theorem

number-theory algebraic-number-theory elliptic-curves arithmetic-geometry

mar 5 at 12:58 QiL'8 15.3k

14

21

votes

3

answers

360

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Intuition for the Importance of Modular Forms

number-theory intuition modular-forms

apr 10 at 7:23 Rohit Chatterjee 1

4

12

votes

1

answer

324

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Learning path to the proof of the Weil Conjectures and étale topology

reference-request self-learning arithmetic-geometry

nov 22 at 11:41 Javier Álvarez 4,794

6

16

votes

2

answers

318

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Roadmap to study Atiyah-Singer index theorem

differential-geometry algebraic-topology soft-question differential-topology

feb 5 at 3:56 Eric O. Korman 7,535

6

7

votes

1

answer

286

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Let $a_{i} \in\mathbb{R}$ ($i=1,2,\dots,n$), and $f(x)=\sum_{i=0}^{n}a_{i}x^i$ such that if $|x|\leqslant 1$, then $|f(x)|\leqslant 1$. Prove that:

analysis polynomials inequality

1d ago math110 1,927

1

vote

1

answer

285

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Assignment on PDE with Neumann boundary conditions

homework functional-analysis pde

apr 26 at 10:59 Community♦ 1

4

16

votes

1

answer

280

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Irreducibility of $x^{n}+x+1$

polynomials field-theory galois-theory factoring

dec 26 at 19:18 Eric 33.3k

7

8

votes

1

answer

280

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Undergraduate roadmap for Langlands program and its geometric counterpart

number-theory reference-request algebraic-geometry representation-theory automorphic-forms

feb 19 at 2:45 Orest Xherija 425

1

6

votes

2

answers

262

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Does curvature zero mean the bundle is trivial?

differential-geometry algebraic-topology

dec 10 at 17:28 levap 2,243

4

18

votes

0

answers

261

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What is the Picard group of $z^3=y(y^2-x^2)(x-1)$?

algebraic-geometry commutative-algebra

feb 25 at 0:29 YACP 9,140

5

22

votes

1

answer

253

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Is the Galois group associated to a random polynomial solvable with probability 0?

reference-request finite-groups galois-theory math-history solvable-groups

mar 8 at 21:41 Alexander Gruber♦ 15.2k

4

10

votes

2

answers

246

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Where do Chern classes live? $c_1(L)\in \textrm{?}$

reference-request algebraic-geometry schemes characteristic-classes

jan 26 at 20:39 Javier Álvarez 4,794

4

9

votes

1

answer

211

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Applications of Pseudodifferential Operators

analysis pde fourier-analysis differential-topology differential-operators

dec 12 at 9:59 Javier Álvarez 4,794

3

13

votes

1

answer

196

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Writing a group element as $ghg^{-1} h^{-1}$ and as $g^2 h^2$

abstract-algebra group-theory finite-groups representation-theory alternative-proof

may 11 at 3:15 Serkan 3,100

3

6

votes

2

answers

194

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Combinatorial proof: $p^{r-n}$ divides $\binom{p^{r-2}}{n}$

combinatorics elementary-number-theory binomial-coefficients

jan 29 at 17:52 Carl 1,047

3

4

votes

2

answers

190

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Hopefully an easy question on spectral sequences

algebraic-topology spectral-sequences

sep 19 at 3:40 Tyler Lawson 866

4

11

votes

1

answer

185

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What does the group ring $\mathbb{Z}[G]$ of a finite group know about $G$?

finite-groups representation-theory group-cohomology group-ring

apr 29 at 23:36 Alexander Konovalov 544

4

6

votes

1

answer

183

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Origin and use of an identity of formal power series: $\det(1 - \psi T) = \exp \left(-\sum_{s=1}^{\infty} \text{Tr}(\psi^{s})T^{s}/s\right)$

linear-algebra number-theory power-series determinant p-adic-number-theory

jan 19 at 18:46 B.D 2,149

4

16

votes

0

answers

166

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Tate conjecture for Fermat varieties

algebraic-geometry representation-theory arithmetic-geometry etale-cohomology

nov 16 at 9:00 Alex 1,340

6

11

votes

1

answer

165

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What do ideles and adeles look like?

algebraic-number-theory

feb 2 at 9:14 fretty 3,898

2

8

votes

0

answers

154

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Variety of pairs of product-zero matrices

linear-algebra algebraic-geometry

jan 13 at 9:53 YACP 9,140

Sanchez

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