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, 11 months
  • Last seen more than 10 years ago
19 votes
2 answers
3k views

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

38 votes
5 answers
10k views

Mathematically mature way to think about Mayer–Vietoris

293 votes
8 answers
141k views

Philosophy behind Mochizuki's work on the ABC conjecture

25 votes
4 answers
5k views

Integrals from a non-analytic point of view

17 votes
2 answers
3k views

The different types of stacks

150 votes
26 answers
47k views

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

23 votes
2 answers
2k views

Why would the category of Motives be Tannakian?

10 votes
3 answers
2k views

Algebraic aspects of the Goldbach conjecture

17 votes
4 answers
3k views

Did Grothendieck write about modular forms?

13 votes
2 answers
4k views

What are Galois Categories used for?

34 votes
3 answers
4k views

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

7 votes
2 answers
535 views

What is an example of a regular realization of $C_5$ over $\mathbb{Q}(x)$?

12 votes
3 answers
3k views

The localization of a regular local ring is regular

29 votes
8 answers
5k views

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

9 votes
1 answer
699 views

What is the motivation for defining the conductor of an abelian variety?

72 votes
5 answers
8k views

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

16 votes
1 answer
1k views

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

6 votes
2 answers
1k views

Is there a nice criterion for when the splitting fields of two irreducible polynomials are equal?

3 votes
1 answer
594 views

Why is there no "regular etale fundamental group"?

12 votes
0 answers
875 views

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

6 votes
2 answers
1k views

Understanding (the wiki page on) Verdier duality

3 votes
1 answer
309 views

Are there n polynomials for which all intersection multiplicities are at least m?

5 votes
4 answers
517 views

What is the obstruction for a local set of models of a curve to come from a global model?

5 votes
1 answer
1k views

Where was Riemann Existence first proven?

2 votes
0 answers
382 views

General cohomology groups and motives

14 votes
5 answers
3k views

What is the "reason" for modularity results?

47 votes
1 answer
2k views

Did Grothendieck have a plan for proving Riemann Existence algebraically?

3 votes
2 answers
418 views

Does a curve have infinitely many $K$-rational points under these hypotheses?

5 votes
1 answer
1k views

In what way do the Weil Conjectures pertain to Langlands?

2 votes
1 answer
617 views

What are non-abelian $L$-functions?