James D. Taylor's user avatar
James D. Taylor's user avatar
James D. Taylor's user avatar
James D. Taylor
  • Member for 13 years, 10 months
  • Last seen more than 10 years ago
293 votes
8 answers
141k views

Philosophy behind Mochizuki's work on the ABC conjecture

150 votes
26 answers
47k views

A soft introduction to physics for mathematicians who don't know the first thing about physics

72 votes
5 answers
8k views

Is there an intuitive reason for Zariski's main theorem?

47 votes
1 answer
2k views

Did Grothendieck have a plan for proving Riemann Existence algebraically?

38 votes
5 answers
10k views

Mathematically mature way to think about Mayer–Vietoris

34 votes
3 answers
4k views

Is there a ring of integers except for Z, such that every extension of it is ramified?

29 votes
8 answers
5k views

In what ways is physical intuition about mathematical objects non-rigorous?

25 votes
4 answers
5k views

Integrals from a non-analytic point of view

23 votes
2 answers
2k views

Why would the category of Motives be Tannakian?

23 votes
1 answer
3k views

What is the precise relationship between Langlands and Tannakian formalism?

21 votes
4 answers
3k views

What is the virtue of profinite groups as mathematical objects?

20 votes
1 answer
930 views

Are completions stalks under some Grothendieck topology?

19 votes
2 answers
3k views

What are the different theories that the motivic fundamental group attempts to unify?

17 votes
2 answers
3k views

The different types of stacks

17 votes
2 answers
1k views

Applications of Stacks

17 votes
4 answers
3k views

Did Grothendieck write about modular forms?

16 votes
1 answer
1k views

How can one interpret homology and Stokes' Theorem via derived categories?

14 votes
2 answers
2k views

How would a motivic proof of the Riemann hypothesis over finite fields go?

14 votes
5 answers
3k views

What is the "reason" for modularity results?

14 votes
2 answers
2k views

Why was it reasonable to ask what the higher K-groups are?

13 votes
2 answers
2k views

Where is a good place to start learning about the Grothendieck-Teichmuller group?

13 votes
2 answers
4k views

What are Galois Categories used for?

13 votes
1 answer
861 views

Does every automorphism of G come from an inner automorphism of S_G?

12 votes
3 answers
3k views

The localization of a regular local ring is regular

12 votes
2 answers
3k views

What is the non-motivic motivation behind automorphic representations?

12 votes
0 answers
874 views

What is the intuition for $\mathbb{Q}^{ab}$ having cohomological dimension $1$?

11 votes
3 answers
1k views

What is the purpose of tangential base-points?

11 votes
2 answers
2k views

What is the strongest, most natural, conjectural form of Langlands?

10 votes
0 answers
401 views

What is the signficance of the existence of a moduli stack to a moduli problem?

10 votes
3 answers
2k views

Algebraic aspects of the Goldbach conjecture