User Kevin Buzzard

31 votes

Intuition behind the Eichler-Shimura relation?

answered Mar 26, 2010 at 12:33

31 votes

What to do when your research runs into a computationally challenging problem?

answered Jul 30, 2011 at 19:44

31 votes

Online, evolving, collaborative foundational text projects

answered Aug 25, 2020 at 19:46

30 votes

Accepted

What's the point of a Whittaker model?

answered Feb 8, 2017 at 8:19

30 votes

Ingenuity in mathematics

answered Sep 28, 2010 at 18:28

29 votes

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Why are topological ideas so important in arithmetic?

answered May 27, 2010 at 12:17

29 votes

Accepted

Complete discrete valuation rings with residue field ℤ/p

answered Dec 26, 2009 at 9:43

27 votes

"Understanding" $\mathrm{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$

answered Nov 2, 2009 at 7:47

26 votes

Nontrivial question about Fibonacci numbers?

answered Jan 18, 2010 at 10:52

26 votes

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Relation between Hecke Operator and Hecke Algebra

answered Mar 29, 2010 at 19:08

26 votes

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L-functions and higher-dimensional Eichler-Shimura relation

answered Dec 21, 2010 at 0:36

25 votes

Most intriguing mathematical epigraphs

answered Oct 2, 2015 at 16:52

25 votes

English reference for a result of Kronecker?

answered Jan 6, 2010 at 13:18

25 votes

Has mathoverflow yet led to mathematical breakthroughs?

answered Jan 15, 2010 at 11:47

24 votes

Intuition for the last step in Serre's proof of the three-squares theorem

answered Nov 2, 2009 at 11:42

21 votes

When are two proofs of the same theorem really different proofs

answered Nov 2, 2009 at 11:01

21 votes

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Is a torsion-free abelian group finitely generated, if all of its localizations at primes $p$ are finitely generated over $\mathbb{Z}_p$?

answered Nov 6, 2009 at 20:05

21 votes

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Can you prove equivalence without being able to calculate it?

answered Jan 7, 2010 at 10:58

20 votes

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When do the sizes of conjugacy classes and squares of degrees of irreps give the same partition for a finite group?

answered Apr 5, 2010 at 10:10

19 votes

Galois Representations and Rational Points

answered Jan 18, 2017 at 8:20

18 votes

Accepted

Find $x,y,z \in \mathbb{Z}$ with $|x^2 + y^2 - \sqrt{3} z^2| < 10^{-6}$

answered Jan 9, 2017 at 19:25

18 votes

Accepted

What can be said about this double sum?

answered Jan 31, 2017 at 22:02

18 votes

Why does the definition of modularity demand weight 2?

answered Aug 15, 2011 at 17:10

18 votes

Why are modular forms (usually) defined only for congruence subgroups?

answered Apr 16, 2010 at 12:43

18 votes

Accepted

Is there a canonical notion of "mod-l automorphic representation"?

answered Mar 9, 2010 at 16:55

18 votes

What is the difference between a zeta function and an L-function?

answered Nov 27, 2009 at 19:25

17 votes

Accepted

Why is 2 so odd?

answered Feb 12, 2010 at 23:31

17 votes

Accepted

Why is there a weight 2 modular form congruent to any modular form

answered Jul 8, 2011 at 18:52

17 votes

Uniform Faltings

answered Jan 23, 2017 at 20:45

17 votes

Accepted

The first odd degree-2 Artin representation for which the Artin conjecture was proved

answered May 22, 2012 at 6:46

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218 Answers

Intuition behind the Eichler-Shimura relation?

What to do when your research runs into a computationally challenging problem?

Online, evolving, collaborative foundational text projects

What's the point of a Whittaker model?

Ingenuity in mathematics

Why are topological ideas so important in arithmetic?

Complete discrete valuation rings with residue field ℤ/p

"Understanding" $\mathrm{Gal}(\bar{\mathbb{Q}}/\mathbb{Q})$

Nontrivial question about Fibonacci numbers?

Relation between Hecke Operator and Hecke Algebra

L-functions and higher-dimensional Eichler-Shimura relation

Most intriguing mathematical epigraphs

English reference for a result of Kronecker?

Has mathoverflow yet led to mathematical breakthroughs?

Intuition for the last step in Serre's proof of the three-squares theorem

When are two proofs of the same theorem really different proofs

Is a torsion-free abelian group finitely generated, if all of its localizations at primes $p$ are finitely generated over $\mathbb{Z}_p$?

Can you prove equivalence without being able to calculate it?

When do the sizes of conjugacy classes and squares of degrees of irreps give the same partition for a finite group?

Galois Representations and Rational Points

Find $x,y,z \in \mathbb{Z}$ with $|x^2 + y^2 - \sqrt{3} z^2| < 10^{-6}$

What can be said about this double sum?

Why does the definition of modularity demand weight 2?

Why are modular forms (usually) defined only for congruence subgroups?

Is there a canonical notion of "mod-l automorphic representation"?

What is the difference between a zeta function and an L-function?

Why is 2 so odd?

Why is there a weight 2 modular form congruent to any modular form

Uniform Faltings

The first odd degree-2 Artin representation for which the Artin conjecture was proved