Kevin Buzzard

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Registered User

Name	Kevin Buzzard
Member for	3 years
Seen	1 hour ago
Website	ma.imperial.ac.uk/~buzzard
Location	London
Age	44

Kevin Buzzard. Algebraic number theorist in London.

My current MO policy: I will endeavour to answer a question if both the following are true: (1) I know the answer already, or can work it out within a few minutes, and (2) I didn't know the answer when I was a graduate student, or feel like it's the sort of question that most grad students in my area wouldn't know the answer to.

Let's see how that pans out.

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48

Questions

votes newest views recent

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answers

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what mistakes did the Italian algebraic geometers actually make?

ag.algebraic-geometry ho.history-overview

apr 5 10 at 11:07 Franz Lemmermeyer 17.2k●1●38●101

27

52

votes

9

answers

10k

views

solving f(f(x))=g(x)

set-theory point-set-topology real-analysis fractional-iteration

mar 16 at 5:02 Daniel Geisler 596●1●5●14

24

50

votes

7

answers

3k

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Open project: Let’s compute the Fourier expansion of a non-solvable algebraic Maass form.

nt.number-theory computational-number-theo langlands-conjectures

jun 14 at 6:00 Chandan Singh Dalawat 11.5k●1●39●73

6

39

votes

13

answers

4k

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Erratum for Cassels-Froehlich

books class-field-theory algebraic-number-theory nt.number-theory

jun 23 10 at 16:16 Justin 1,336●3●13●25

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6

answers

3k

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What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?

langlands-conjectures nt.number-theory galois-representations automorphic-forms

may 11 10 at 17:57 Jeffrey Adams 531●4●7

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30

votes

3

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2k

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Are there motives which do not, or should not, show up in the cohomology of any Shimura variety?

nt.number-theory automorphic-forms shimura-varieties

sep 22 10 at 9:54 Olivier 2,703●1●8●19

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26

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5

answers

1k

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Does $S_4$ inject into $SL(2,R)$ for some commutative ring $R$?

gr.group-theory finite-groups rt.representation-theory

nov 30 10 at 15:56 Lavender Honey 6,024●30●69

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33

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7k

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Ingenuity in mathematics

big-list

dec 15 10 at 21:44 Karina 1

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Are there any Hecke operators acting on an elliptic curve with additive reduction that I don’t know about?

algebraic-number-theory hecke-algebras modular-forms nt.number-theory

apr 13 10 at 8:51 David Loeffler 8,603●15●40

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19

votes

2

answers

940

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The work of E. Artin and F. K. Schmidt on (what are now called) the Weil conjectures.

nt.number-theory ho.history-overview algebraic-curves zeta-functions characteristic-p

feb 10 10 at 7:42 Kevin Buzzard 22.8k●2●69●136

161

Answers

votes newest views recent

What programming languages do mathematicians use?

What would you want to see at the Museum of Mathematics?

Etale cohomology — Why study it?

Smooth proper scheme over Z

How do I check if a functor has a (left/right) adjoint?

How did Birch and Swinnerton Dyer arrive at their conjecture?

Fermat’s Last Theorem for Gaussian Integers ( excluding $\mathbb{Z}$ or $i\mathbb{Z}$ )

What is the difference between PSL_2 and PGL_2?

Tools for the Langlands Program?

How do you approach your child’s math education?

What is the definition of “canonical” ?

Is “all categorical reasoning formally contradictory”?

Particular problem solved by solving a more general problem. (2)

Integers not represented by $ 2 x^2 + x y + 3 y^2 + z^3 - z $

What to do when your research runs into a computationally challenging problem?

Are there Maass forms where the expected Galois representation is $\ell$-adic?

Character table does not determine group Vs Tannaka duality

If 2^x and 3^x are integers, must x be as well?

Why is one interested in the mod p reduction of modular curves and Shimura varieties?

What are the reasons for considering rings without identity?

Why are topological ideas so important in arithmetic?

Still Difficult After All These Years

Erratum for Cassels-Froehlich (11)

A Game on Noetherian Rings

Has mathoverflow yet led to mathematical breakthroughs?

L-functions and higher-dimensional Eichler-Shimura relation

Can you prove equivalence without being able to calculate it?

Is it true that, as Z-modules, the polynomial ring and the power series ring over integers are dual to each other?

“Understanding” Gal(\bar Q/Q)

How do you select an interesting and reasonable problem for a student?

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nt.number-theory× 98
ag.algebraic-geometry× 35
modular-forms× 26
rt.representation-theory× 19
soft-question× 15
automorphic-forms× 14
ac.commutative-algebra× 14
langlands-conjectures× 13
galois-representations× 11
elliptic-curves× 10

arithmetic-geometry× 10
algebraic-number-theory× 9
gr.group-theory× 7
analytic-number-theory× 7
zeta-functions× 6
reference-request× 6
algebraic-groups× 6
abelian-varieties× 6
prime-numbers× 5
etale-cohomology× 5

computational-number-theo× 5
class-field-theory× 5
characteristic-p× 5
algebraic-curves× 5
ra.rings-and-algebras× 4
polynomials× 4
lo.logic× 4
l-functions× 4
intuition× 4
big-list× 4

shimura-varieties× 3
set-theory× 3
rigid-analytic-geometry× 3
number-fields× 3
motives× 3
moduli-spaces× 3
mathematics-education× 3
ho.history-overview× 3
hilbert-spaces× 3
fa.functional-analysis× 3

examples× 3
ct.category-theory× 3
co.combinatorics× 3
abstract-algebra× 3
trace-formula× 2
siegel-modular-forms× 2
presentations-of-groups× 2
p-adic-analysis× 2
open-problem× 2
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207

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