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Will Sawin

New York, NY, USA

http://williamsawin.com

I am an assistant professor at Columbia University.

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Top Questions
216 votes

A Game on Noetherian Rings

ac.commutative-algebra combinatorial-game-theory asked Apr 6, 2012 at 3:24
mathoverflow.net

55 votes

Grothendieck's Period Conjecture and the missing p-adic Hodge Theories

nt.number-theory tannakian-category p-adic-hodge-theory asked Mar 15, 2015 at 21:18
mathoverflow.net

54 votes

What is the geometry of an undecidable diophantine equation?

ag.algebraic-geometry nt.number-theory lo.logic diophantine-equations asked Dec 4, 2012 at 18:20
mathoverflow.net

29 votes

Enriques surfaces over $\mathbb Z$

ag.algebraic-geometry nt.number-theory algebraic-surfaces k3-surfaces asked Mar 27, 2015 at 22:19
mathoverflow.net

27 votes

Why do the adjoint representations of three exceptional groups have the same first eight moments?

co.combinatorics rt.representation-theory lie-groups lie-algebras integer-sequences asked Feb 20, 2016 at 15:10
mathoverflow.net

27 votes

A modern perspective on the relationship between Drinfeld modules and shtukas

ag.algebraic-geometry nt.number-theory finite-fields shimura-varieties asked Aug 24, 2017 at 16:54
mathoverflow.net

27 votes

How many polynomial Morse functions on the sphere?

gn.general-topology co.combinatorics polynomials asked Mar 29, 2013 at 21:18
mathoverflow.net

21 votes

How long can this string of digits be extended?

co.combinatorics asked Apr 8, 2013 at 22:31
mathoverflow.net

21 votes

Does X(13) have potentially good reduction at 13?

ag.algebraic-geometry nt.number-theory modular-forms asked Mar 16, 2016 at 16:03
mathoverflow.net

21 votes

Successes of machine learning in formal theorem proving

history automated-theorem-proving machine-learning asked Feb 10 at 21:25
proofassistants.stackexchange.com

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Top Answers
123
5/8 bound in group theory
mathoverflow.net

98
"The Egg:" Bizarre behavior of the roots of a family of polynomials.
math.stackexchange.com

75
Why is differential Galois theory not widely used?
mathoverflow.net

68
What is precisely still missing in Connes' approach to RH?
mathoverflow.net

60
Fibonacci series captures Euler $e=2.718\dots$
mathoverflow.net

45
Arithmetic Morse theory?
mathoverflow.net

45
Understanding a quip from Gian-Carlo Rota
mathoverflow.net

39
How and when do I learn so much mathematics?
mathoverflow.net

38
Why study Higher Sheaf Cohomology?
mathoverflow.net

37
Modern results that are widely known, yet which at the time were ignored, not accepted or criticized
mathoverflow.net

36
Number of elements of "$\mathrm{SL}_n(\mathbb{F}_p^\times)$" mod $p$
mathoverflow.net

36
Over which fields are symmetric matrices diagonalizable ?
mathoverflow.net

36
Cases where the number field case and the function field (with positive characteristic) are different
mathoverflow.net

32
Why is game theory formulated in terms of equilibrium instead of winning strategies?
mathoverflow.net

32
Theorems that are essentially impossible to guess by empirical observation
mathoverflow.net

31
Forced conjugation of elements in finite groups
math.stackexchange.com

30
Does $\mathrm{SO}(3)$ act faithfully on a countable set?
mathoverflow.net

30
The "stubborn" solutions to sums of three cubes
mathoverflow.net

29
A surprising conjecture about twin primes
mathoverflow.net

29
Smooth vs regular vs non-singular
mathoverflow.net

28
Pressure to defend the relevance of one's area of mathematics
mathoverflow.net

28
How are motives related to anabelian geometry and Galois-Teichmuller theory?
mathoverflow.net

28
Theorems with many distinct proofs
mathoverflow.net

28
Examples of "unsuccessful" theories with afterlives
mathoverflow.net

28
How do you check that your mathematical research topic is original?
mathoverflow.net

28
Are the p-adics a direct summand of the direct product of the groups $\mathbb{Z}/p^n\mathbb{Z}$?
mathoverflow.net

28
Gaussian Integer a+2bi as sum of 3 squares
mathoverflow.net

27
What are possible applications of deep learning to research mathematics?
mathoverflow.net

27
Is the divisibility graph of the proper divisors of n more often planar than not?
mathoverflow.net

27
The first unstable homotopy group of $Sp(n)$
mathoverflow.net

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