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Will Sawin

New York, NY, USA

http://williamsawin.com

I am a Clay Fellow and an assistant professor at Columbia University.

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Top Questions
201 votes

A Game on Noetherian Rings

ac.commutative-algebra combinatorial-game-theory asked Apr 6 '12 at 3:24
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 '12 at 18:20
mathoverflow.net

44 votes

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

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

27 votes

Enriques surfaces over $\mathbb Z$

ag.algebraic-geometry nt.number-theory algebraic-surfaces k3-surfaces asked Mar 27 '15 at 22:19
mathoverflow.net

27 votes

How many polynomial Morse functions on the sphere?

gn.general-topology co.combinatorics polynomials asked Mar 29 '13 at 21:18
mathoverflow.net

26 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 '16 at 15:10
mathoverflow.net

24 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 '17 at 16:54
mathoverflow.net

20 votes

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

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

19 votes

Precise estimate for probability an $n$-point set has diameter smaller than $1$

pr.probability mg.metric-geometry discrete-geometry asked Apr 4 '16 at 0:39
mathoverflow.net

19 votes

What is the best homology/cohomology theory for the Lefschetz fixed point theorem?

at.algebraic-topology asked Sep 25 '11 at 20:37
mathoverflow.net

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Top Answers
113
5/8 bound in group theory
mathoverflow.net

83
“The Egg:” Bizarre behavior of the roots of a family of polynomials.
math.stackexchange.com

59
Why is differential Galois theory not widely used?
mathoverflow.net

58
Fibonacci series captures Euler $e=2.718\dots$
mathoverflow.net

56
What is precisely still missing in Connes' approach to RH?
mathoverflow.net

41
Arithmetic Morse theory?
mathoverflow.net

37
Why study Higher Sheaf Cohomology?
mathoverflow.net

36
Understanding a quip from Gian-Carlo Rota
mathoverflow.net

34
Number of elements of “$\mathrm{SL}_n(\mathbb{F}_p^\times)$” mod $p$
mathoverflow.net

31
Over which fields are symmetric matrices diagonalizable ?
mathoverflow.net

30
Forced conjugation of elements in finite groups
math.stackexchange.com

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

28
Cases where the number field case and the function field (with positive characteristic) are different
mathoverflow.net

25
How are motives related to anabelian geometry and Galois-Teichmuller theory?
mathoverflow.net

25
The first unstable homotopy group of $Sp(n)$
mathoverflow.net

25
How much do I need to learn algebraic geometry to understand arithmetics over number fields
mathoverflow.net

25
A surprising conjecture about twin primes
mathoverflow.net

25
A new combinatorial property for the character table of a finite group?
mathoverflow.net

24
Examples of “unsuccessful” theories with afterlives
mathoverflow.net

23
Pressure to defend the relevance of one's area of mathematics
mathoverflow.net

23
Why are Green functions involved in intersection theory?
mathoverflow.net

23
Forced conjugation of elements in finite groups
mathoverflow.net

23
Random sequence of integers in $\{1, 2, \dots, n \}$ which is “everywhere probably increasing” - how long can it be?
mathoverflow.net

23
Rings for which no polynomial induces the zero function
mathoverflow.net

23
Taylor's theorem and the symmetric group
mathoverflow.net

22
What is the geometric object corresponding to a subalgebra in a polynomial ring
mathoverflow.net

22
Finite groups such that every irrep can be induced from trivial irrep of a subgroup ?
mathoverflow.net

20
Is $k[X]^G$ integral closed in $k[X]$.
mathoverflow.net

20
How to rewrite $7-\sqrt 5$ in root form without a minus sign?
math.stackexchange.com

20
Does there exist a genus $g$ curve over $\mathbb{Q}$ with every type of stable reduction?
mathoverflow.net

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