Emerton

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Name Emerton
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102
Why is the Hodge Conjecture so important?
90
Mathematical habits of thought and action which would be of use to non-mathematicians
62
Sheaves and bundles in differential geometry
57
How seriously should a graduate student take teaching evaluations? (2)
52
Galoisian sets of prime numbers
51
What elementary problems can you solve with schemes? (2)
48
What should be learned in a first serious schemes course? (2)
47
Modern algebraic geometry vs. classical algebraic geometry
42
The importance of EGA and SGA for “students of today”
42
What notions are used but not clearly defined in modern mathematics?
40
How to escape the inclination to be a universalist or: How to learn to stop worrying and do some research.
37
Introductory text on Galois representations
36
Non-commutative algebraic geometry
35
Is Fourier analysis a special case of representation theory or an analogue?
35
How many people fully understand the proof of Fermat’s Last Theorem?
35
Why nilpotent elements must be allowed in modern algebraic geometry?
34
Why Weil group and not Absolute Galois group?
33
The current status of the Birch & Swinnerton-Dyer Conjecture (2)
33
Why should I believe the Mordell Conjecture?
30
Why aren’t representations of monoids studied so much?
29
Establishing zeta(3) as a definite integral and its computation.
29
Is there a slick proof of the classification of finitely generated abelian groups?
29
Tools for the Langlands Program?
29
Is there a “crash-course” book on Abelian varieties (e.g., an introduction for physicists)?
29
Why can projective varieties just have abelian group operations?
28
What are the pillars of Langlands?
28
A slick proof of the Bruhat Decomposition for GL_n(k)?
27
Dwork’s use of p-adic analysis in algebraic geometry
27
Why no abelian varieties over Z?
27
Flatness in Algebraic Geometry vs. Fibration in Topology
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