User R.P.

31 votes

Daunting papers/books and how to finally read them

answered Feb 1 at 13:57

25 votes

Accepted

Is the Hasse principle a birational invariant?

answered Sep 27, 2012 at 20:53

20 votes

$P(x)=P(y)$ has infinitely many integer solutions

answered Jun 14, 2019 at 19:15

19 votes

Results that are widely accepted but no proof has appeared

answered Apr 13, 2020 at 20:06

18 votes

What to do after a pure math academic path?

answered Oct 22, 2022 at 7:14

17 votes

What are some ways to stay engaged with the mathematical community from outside academia?

answered Nov 22, 2023 at 11:50

17 votes

History of powers beyond squares and cubes

answered Sep 25, 2015 at 23:27

16 votes

Accepted

reference request: rational points on the unit sphere

answered Jan 23, 2017 at 17:04

15 votes

Elliptic Curves over Rings?

answered Apr 28, 2012 at 4:45

14 votes

Accepted

Is $e^p\in\mathbb{Q}_p$ known to be transcendental?

answered Nov 3, 2012 at 16:25

14 votes

Accepted

Why does inconstructibility of $\sqrt[3]{2}$ imply impossibility of cube doubling?

answered Feb 9, 2015 at 0:10

14 votes

Nontrivial solutions for $\sum x_i = \sum x_i^3 = 0$

answered Apr 21, 2015 at 0:08

14 votes

Pressure to defend the relevance of one's area of mathematics

answered Apr 30, 2019 at 11:49

13 votes

Accepted

Diophantine representation of the set of prime numbers of the form $n²+1$

answered Jan 9, 2020 at 16:55

13 votes

Finding $q(x)$ such that $p(q(x))$ is reducible over $\mathbb{Q}[x]$

answered Apr 18, 2020 at 15:47

13 votes

Accepted

Find all rational solutions of this diophantine-equation?

answered Jun 7, 2015 at 15:59

12 votes

Demystifying complex numbers

answered Aug 28, 2016 at 12:10

12 votes

Accepted

When is $f(a,b)=\frac{a^2+b^2}{1+ab}$ a perfect square rational number?

answered Sep 18, 2016 at 14:41

12 votes

Is being principal a local property?

answered Oct 13, 2012 at 16:45

12 votes

Accepted

Brauer groups and field extensions

answered May 5, 2017 at 22:53

10 votes

Does this equation have any nonzero solutions

answered Oct 11, 2016 at 11:56

10 votes

Accepted

Does GAGA hold over other topological fields?

answered Oct 12, 2016 at 0:45

9 votes

The boundedness of the rank of twists of a fixed curve

answered Nov 26, 2012 at 11:50

8 votes

Accepted

Is any quadric birational to a product of Brauer-Severi varieties?

answered Apr 17, 2014 at 17:05

8 votes

Brauer group of projective space

answered Sep 18, 2011 at 23:26

8 votes

Textbook for Etale Cohomology

answered Sep 25, 2012 at 15:12

8 votes

Picard groups of quartic K3 surfaces

answered May 4, 2016 at 21:20

8 votes

Accepted

$N_p := \text{card}\{(x, y, z, t) \in (\textbf{F}_p)^4 : ax^4 + by^4 + z^2 + t^2 = 0\}?$

answered Oct 16, 2015 at 22:04

8 votes

Obstructions for a group to be the multiplicative group of a field

answered Apr 28, 2015 at 11:57

8 votes

Accepted

Rational points on open subsets of affine space

answered Mar 9, 2017 at 16:44

Stack Exchange Network

81 Answers

Daunting papers/books and how to finally read them

Is the Hasse principle a birational invariant?

$P(x)=P(y)$ has infinitely many integer solutions

Results that are widely accepted but no proof has appeared

What to do after a pure math academic path?

What are some ways to stay engaged with the mathematical community from outside academia?

History of powers beyond squares and cubes

reference request: rational points on the unit sphere

Elliptic Curves over Rings?

Is $e^p\in\mathbb{Q}_p$ known to be transcendental?

Why does inconstructibility of $\sqrt[3]{2}$ imply impossibility of cube doubling?

Nontrivial solutions for $\sum x_i = \sum x_i^3 = 0$

Pressure to defend the relevance of one's area of mathematics

Diophantine representation of the set of prime numbers of the form $n²+1$

Finding $q(x)$ such that $p(q(x))$ is reducible over $\mathbb{Q}[x]$

Find all rational solutions of this diophantine-equation?

Demystifying complex numbers

When is $f(a,b)=\frac{a^2+b^2}{1+ab}$ a perfect square rational number?

Is being principal a local property?

Brauer groups and field extensions

Does this equation have any nonzero solutions

Does GAGA hold over other topological fields?

The boundedness of the rank of twists of a fixed curve

Is any quadric birational to a product of Brauer-Severi varieties?

Brauer group of projective space

Textbook for Etale Cohomology

Picard groups of quartic K3 surfaces

$N_p := \text{card}\{(x, y, z, t) \in (\textbf{F}_p)^4 : ax^4 + by^4 + z^2 + t^2 = 0\}?$

Obstructions for a group to be the multiplicative group of a field

Rational points on open subsets of affine space