Emerton's user avatar
Emerton's user avatar
Emerton's user avatar
Emerton
  • Member for 14 years, 3 months
  • Last seen more than 9 years ago
17 votes
Accepted

modular eigenforms with integral coefficients [Maeda's Conjecture]

17 votes

why haven't certain well-researched classes of mathematical object been framed by category theory?

17 votes

Union of closed subschemes with the structure sheaf over it

17 votes

What should be learned in a first serious schemes course?

17 votes

Careers advice for Ph.D.s without current postdocs or university jobs

17 votes

Why are proofs so valuable, although we do not know that our axiom system is consistent?

16 votes
Accepted

A bound for the Manin constant

16 votes
Accepted

An explicit computation in class field theory

16 votes

References for Artin motives

16 votes

Existence of fine moduli space for curves and elliptic curves

16 votes

Given a number field $K$, when is its Hilbert class field an abelian extension of $\mathbb{Q}$?

16 votes
Accepted

Locally constant sheaves for the étale topology, lack of intuition about "étale-localness"

16 votes

Should there be a specified standard knowledge of mathematicians?

16 votes

Geometrical meaning of semi-stable reduction?

15 votes
Accepted

Why isn't meromorphic continuation enough for converse theorems?

15 votes
Accepted

$\mathbb{P}^n$ is simply connected

15 votes

Vanishing cycles in a nutshell?

15 votes
Accepted

What are unramified morphisms like?

15 votes

Examples of Mixed Hodge Structures

15 votes
Accepted

Atiyah-MacDonald, exercise 7.19 - "decomposition using irreducible ideals"

15 votes

Elementary / Interesting proofs of the Nullstellensatz

15 votes
Accepted

What is the "right" universal property of the completion of a metric space?

15 votes

Good papers/books/essays about the thought process behind mathematical research

15 votes

Can analysis detect torsion in cohomology?

14 votes

Interesting results in algebraic geometry accessible to 3rd year undergraduates

14 votes
Accepted

Origin of the term "localization" for the localization of a ring

14 votes
Accepted

Maximal ideal in polynomial ring

14 votes
Accepted

abelian categories vs. additive categories

14 votes

Why are divisible abelian groups important?

14 votes
Accepted

Understanding iterated integrals

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