User Qiaochu Yuan

24 votes

4 answers

6k views

What is a section?

asked Dec 6, 2009 at 22:16

23 votes

2 answers

3k views

What's the relationship between Gauss sums and the normal distribution?

asked Jan 7, 2010 at 18:18

23 votes

4 answers

3k views

Exhibit an explicit bijection between irreducible polynomials over finite fields and Lyndon words.

asked Oct 16, 2009 at 17:42

23 votes

0 answers

590 views

What is the symmetric monoidal functor from Clifford algebras to invertible K-module spectra?

asked Nov 4, 2014 at 2:03

23 votes

0 answers

722 views

Which proofs of the fundamental theorem of algebra are "essentially the same" vs. "essentially different"?

asked Aug 4 at 21:19

22 votes

3 answers

1k views

Why are Dynkin diagrams characterized by their eigenvalues?

asked Oct 14, 2009 at 0:45

21 votes

3 answers

1k views

What's the analogue of the Hilbert class field in the following analogy?

asked Jan 6, 2010 at 19:26

21 votes

0 answers

907 views

In what sense is the braid group $B_3$ the universal central extension of the modular group $\Gamma$?

asked Nov 21, 2015 at 18:15

21 votes

3 answers

2k views

What is Chern-Simons theory expected to assign to a point?

asked Apr 14, 2014 at 3:51

20 votes

1 answer

2k views

Do I know what "coherent sheaf" means if I know what it means on locally Noetherian schemes?

asked May 8, 2015 at 17:01

20 votes

5 answers

1k views

Is there a natural family of languages whose generating functions are holonomic (i.e. D-finite)?

asked Dec 8, 2009 at 22:26

20 votes

3 answers

4k views

What is the origin of the term "spectrum" in mathematics?

asked Dec 16, 2009 at 20:15

20 votes

5 answers

2k views

How small can a group with an n-dimensional irreducible complex representation be?

asked Oct 14, 2009 at 23:29

20 votes

6 answers

5k views

Can I derive the Boltzmann distribution by an invariance argument?

asked Jul 11, 2010 at 20:59

20 votes

2 answers

1k views

What's the cell structure of K(Z/nZ, 1)? Does it let me sum this divergent series? What about other finite groups?

asked Apr 2, 2010 at 18:31

19 votes

4 answers

2k views

Details for the action of the braid group B_3 on modular forms

asked Apr 4, 2010 at 4:17

19 votes

5 answers

2k views

"Physical" construction of nonconstant meromorphic functions on compact Riemann surfaces?

asked Mar 28, 2010 at 19:00

19 votes

2 answers

3k views

Does every irreducible representation of a compact group occur in tensor products of a faithful representation and its dual?

asked Mar 16, 2011 at 13:16

19 votes

2 answers

2k views

For what subsets S of (Z/nZ)* is there a Euclidean proof that there are infinitely many primes whose residues lie in S?

asked Dec 24, 2010 at 14:39

19 votes

6 answers

2k views

Discrete-compact duality for nonabelian groups

asked Jul 18, 2011 at 18:48

19 votes

3 answers

5k views

What is the relationship between algebraic geometry and quantum mechanics?

asked Nov 11, 2009 at 2:20

19 votes

2 answers

3k views

What does Faltings' theorem look like over function fields?

asked Dec 28, 2009 at 21:33

19 votes

1 answer

748 views

What's the relationship between these two isomorphisms involving G and T?

asked May 20, 2014 at 4:49

18 votes

0 answers

577 views

Is there a quantum group or loop group description of a braided monoidal 2-category giving Khovanov homology?

asked Apr 23, 2014 at 5:18

18 votes

0 answers

881 views

What is operator tmf?

asked Dec 11, 2014 at 22:34

18 votes

3 answers

2k views

What proof of quadratic reciprocity is Hilbert referring to in this quote?

asked Jan 10, 2010 at 15:23

18 votes

5 answers

8k views

What techniques exist to show that a problem is not NP-complete?

asked Dec 18, 2009 at 1:44

18 votes

3 answers

1k views

Young's lattice and the Weyl algebra

asked Oct 23, 2009 at 17:26

18 votes

9 answers

2k views

What representative examples of modules should I keep in mind?

asked Oct 22, 2009 at 6:29

18 votes

5 answers

2k views

What finitely presented groups embed into $\operatorname{GL}_2$?

asked Jul 23, 2012 at 14:58

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179 Questions

What is a section?

What's the relationship between Gauss sums and the normal distribution?

Exhibit an explicit bijection between irreducible polynomials over finite fields and Lyndon words.

What is the symmetric monoidal functor from Clifford algebras to invertible K-module spectra?

Which proofs of the fundamental theorem of algebra are "essentially the same" vs. "essentially different"?

Why are Dynkin diagrams characterized by their eigenvalues?

What's the analogue of the Hilbert class field in the following analogy?

In what sense is the braid group $B_3$ the universal central extension of the modular group $\Gamma$?

What is Chern-Simons theory expected to assign to a point?

Do I know what "coherent sheaf" means if I know what it means on locally Noetherian schemes?

Is there a natural family of languages whose generating functions are holonomic (i.e. D-finite)?

What is the origin of the term "spectrum" in mathematics?

How small can a group with an n-dimensional irreducible complex representation be?

Can I derive the Boltzmann distribution by an invariance argument?

What's the cell structure of K(Z/nZ, 1)? Does it let me sum this divergent series? What about other finite groups?

Details for the action of the braid group B_3 on modular forms

"Physical" construction of nonconstant meromorphic functions on compact Riemann surfaces?

Does every irreducible representation of a compact group occur in tensor products of a faithful representation and its dual?

For what subsets S of (Z/nZ)* is there a Euclidean proof that there are infinitely many primes whose residues lie in S?

Discrete-compact duality for nonabelian groups

What is the relationship between algebraic geometry and quantum mechanics?

What does Faltings' theorem look like over function fields?

What's the relationship between these two isomorphisms involving G and T?

Is there a quantum group or loop group description of a braided monoidal 2-category giving Khovanov homology?

What is operator tmf?

What proof of quadratic reciprocity is Hilbert referring to in this quote?

What techniques exist to show that a problem is not NP-complete?

Young's lattice and the Weyl algebra

What representative examples of modules should I keep in mind?

What finitely presented groups embed into $\operatorname{GL}_2$?