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Akhil Mathew

Cambridge, MA

http://math.harvard.edu/~amathew

PhD student at Harvard.

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Top Questions
155 votes

What's the significance of Tate's thesis?

algebraic-number-theory asked Mar 5, 2011 at 1:47
math.stackexchange.com

126 votes

A learning roadmap for algebraic geometry

ag.algebraic-geometry asked Oct 19, 2009 at 21:31
mathoverflow.net

95 votes

Is there a high-concept explanation for why "simplicial" leads to "homotopy-theoretic"?

homotopy-theory simplicial-stuff asked Mar 15, 2011 at 2:24
mathoverflow.net

80 votes

Do we still need model categories?

model-categories homotopy-theory higher-category-theory asked Oct 17, 2011 at 23:57
mathoverflow.net

67 votes

Does anyone know a polynomial whose lack of roots can't be proved?

lo.logic nt.number-theory asked Jul 22, 2010 at 3:59
mathoverflow.net

59 votes

Are spectra really the same as cohomology theories?

brown-representability stable-homotopy at.algebraic-topology asked Dec 31, 2012 at 2:31
mathoverflow.net

55 votes

Why are spectral sequences so ubiquitous?

motivation spectral-sequences kt.k-theory-homology homological-algebra asked Dec 7, 2009 at 0:43
mathoverflow.net

50 votes

Why does a minimal prime ideal consist of zerodivisors?

commutative-algebra asked Jul 22, 2010 at 21:43
math.stackexchange.com

44 votes

Fermat's Two Square Theorem: How do you prove that an odd prime is the sum of two squares iff it is congruent to 1 mod 4?

elementary-number-theory prime-numbers asked Jul 23, 2010 at 17:25
math.stackexchange.com

38 votes

Is the $24$ game NP-complete?

computer-science asked Jul 24, 2010 at 4:46
math.stackexchange.com

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Top Answers
124
Famous mathematical quotes
mathoverflow.net

115
Cardinality of set of real continuous functions
math.stackexchange.com

90
Why isn't reflexivity redundant in the definition of equivalence relation?
math.stackexchange.com

84
What is the Tor functor?
math.stackexchange.com

72
Nontrivial theorems with trivial proofs
mathoverflow.net

65
Why are gauge integrals not more popular?
math.stackexchange.com

58
Counterexamples in algebra?
mathoverflow.net

52
In (relatively) simple words: What is an inverse limit?
math.stackexchange.com

49
Examples of great mathematical writing
mathoverflow.net

45
What packages do people load by default in LaTeX?
tex.stackexchange.com

44
Motivation and use for category theory?
math.stackexchange.com

44
Good books and lecture notes about category theory.
math.stackexchange.com

41
Proofs that require fundamentally new ways of thinking
mathoverflow.net

40
Importance of Representation Theory
math.stackexchange.com

40
Sheaf cohomology: what is it and where can I learn it?
math.stackexchange.com

40
For any prime $p > 3$, why is $p^2-1$ always divisible by $24$?
math.stackexchange.com

39
What is "ultrafinitism" and why do people believe it?
math.stackexchange.com

33
Examples of great mathematical writing
mathoverflow.net

32
The main theorems of category theory and their applications
mathoverflow.net

30
Is there a known mathematical equation to find the nth prime?
math.stackexchange.com

28
What is the right definition of the Picard group of a commutative ring?
mathoverflow.net

27
Why should I care about fields of positive characteristic?
math.stackexchange.com

27
What functions can be represented as power series?
math.stackexchange.com

26
Isomorphism between varieties of char 0
mathoverflow.net

25
How do you go about learning mathematics?
math.stackexchange.com

25
Does anyone know an intuitive proof of the Birkhoff ergodic theorem?
mathoverflow.net

23
What use is the Yoneda lemma?
math.stackexchange.com

23
Why relativization can't solve NP !=P?
mathoverflow.net

23
What are the differences between rings, groups, and fields?
math.stackexchange.com

23
Fermat's Two Square Theorem: How do you prove that an odd prime is the sum of two squares iff it is congruent to 1 mod 4?
math.stackexchange.com

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