27
votes
Accepted
Can I ask a question on MathOverflow and also on another site?
Cross-posting is discouraged in general, because it can lead to duplication of effort by people answering on different sites. However, it is appropriate under some circumstances.
Most of the advice ...
15
votes
Best of MathOverflow, or papers inspired by MathOverflow
A nice question by Michael Hardy, How many rearrangements must fail to alter the value of a sum before you conclude that none do?, led to a recent 6-author collaboration, 5 or 6 of whom are MO patrons ...
Community wiki
11
votes
Best of MathOverflow, or papers inspired by MathOverflow
In 2013 John Pardon solved the Hilbert-Smith conjecture for group actions on 3-manifolds.
Lemma 2.17 of the paper was based on the answer to this mathoverflow question. I was quite surprised to ...
Community wiki
11
votes
Best of MathOverflow, or papers inspired by MathOverflow
Mohammad Ghomi answered
the question
Shortest closed curve to inspect a sphere,
in a paper, Shortest closed curve to inspect a sphere, posted to the arXiv (https://arxiv.org/abs/2010.15204),
whose PDF ...
Community wiki
10
votes
Best of MathOverflow, or papers inspired by MathOverflow
Hannah Cairns's proof of Perron's theorem (discussed in this MathOverflow question) has been published in The American Mathematical Monthly as Perron’s Theorem in an Hour.
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10
votes
Best of MathOverflow, or papers inspired by MathOverflow
In the MO question Normalizers in symmetric groups I had asked the following:
Let $G$ be a finite group. Is it true that there is a subgroup $U$ inside some symmetric group $S_n$, such that $N(U)/U$ ...
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10
votes
Best of MathOverflow, or papers inspired by MathOverflow
An unpublished open problem posed by Adam Chalcraft, Does every polyomino tile $\mathbb R^n$ for some $n$?, received considerable attention when I posted it here on MO. (Of all the questions that I ...
Community wiki
10
votes
Best of MathOverflow, or papers inspired by MathOverflow
Not sure if my recent paper "Equivalence: an attempt at a history of the idea" qualifies as one of the "best of Mathoverflow or papers inspired by Mathoverflow". But I am sure Mathoverflow was a force ...
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9
votes
Best of MathOverflow, or papers inspired by MathOverflow
Julien Marché's question "Homology generated by lifts of simple curves" was the first appearance in print of a folklore question (I first was asked it back when I was a postdoc). As I discuss in my ...
Community wiki
8
votes
Best of MathOverflow, or papers inspired by MathOverflow
Zhi-Wei Sun posted a highly upvoted MO question in 2018, Can we write each positive rational number as ${1\over p_1−1}+\cdots+{1\over p_k−1}$ with $p_1,\ldots,p_k$ distinct primes? The question ...
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8
votes
Best of MathOverflow, or papers inspired by MathOverflow
My Forum of Mathematics Sigma paper (published 2021) answered a 20-year old question of Jeff Shallit. The proof makes crucial use of ideas in a 2016 MO answer by Anthony Quas.
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7
votes
Best of MathOverflow, or papers inspired by MathOverflow
Quoting Oscar Cunningham's answer to an MO question asking for decision problems that are not known to be decidable:
In Conway's Game of Life, the problem of deciding whether a given pattern with ...
Community wiki
7
votes
Best of MathOverflow, or papers inspired by MathOverflow
This doesn't quite fit the mold of the other postings, but Matt Parker
(Numberphile
and StandUpMaths)
made
a YouTube video
that mentions MathOverflow
several times, and particularly highlights the ...
Community wiki
7
votes
Best of MathOverflow, or papers inspired by MathOverflow
Ilya Bogdanov has answered my question Graphs with only disjoint perfect matchings
on certain coloring in graphs, that emerged through research in quantum physics. This answer has inspired quite a ...
Community wiki
7
votes
Best of MathOverflow, or papers inspired by MathOverflow
The paper "Majority colourings of digraphs" by Paul Seymour, Stephan Kreutzer, Sang-il Oum, David R. Wood and myself has its origin in my question "Majority coloring for directed graphs".
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7
votes
Best of MathOverflow, or papers inspired by MathOverflow
This paper addresses and partially solves a question posed by Matthew Kahle,
whose MO question they explicitly cite:
chromatic number of the hyperbolic plane.
DeCorte, Evan, and Konstantin Golubev....
Community wiki
6
votes
Best of MathOverflow, or papers inspired by MathOverflow
This MO question "Property $\Gamma$ in terms of correspondences" led us to answer two old open problems and to push further a third more recent result:
Jon Bannon, Amine Marrakchi, Narutaka Ozawa. ...
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6
votes
Best of MathOverflow, or papers inspired by MathOverflow
I just learned that a question of mine on minimal vertex covers in hypergraphs where edges intersect in at most $1$ point led to a paper by Lajos Soukup and Tamas Csernak; it will appear in Discrete ...
Community wiki
6
votes
Best of MathOverflow, or papers inspired by MathOverflow
Garabed Gulbenkian's 2010 question about ordinal definable real numbers, which Joel David Hamkins called "a fascinating, outstanding question," attracted considerable attention, culminating ...
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4
votes
Best of MathOverflow, or papers inspired by MathOverflow
Beginning with discussions in MO, it was proved that the Apéry sequence is a Stieltjes moment sequence. My final streamlined argument for this was posted to the arxiv in 2020:
LINK
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4
votes
Best of MathOverflow, or papers inspired by MathOverflow
In response to an MO question, On maximal regular polyhedra inscribed in a regular polyhedron,
Moritz Firsching filled in the missing cases
from H.T. Crofts original paper on the topic.
He then posted ...
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4
votes
Best of MathOverflow, or papers inspired by MathOverflow
A paper by T. Chartier, P.P. Pach and myself describing the status of "Can we color Z^+ with n colors such that a, 2a, …, na all have different colors for all a?" has just been published.
...
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3
votes
Best of MathOverflow, or papers inspired by MathOverflow
Here are two kind-of dual results that have now been proved after I asked them here:
The first arose from Induced map on path manifolds: is it a submersion?, which got an answer in very general terms ...
Community wiki
3
votes
Best of MathOverflow, or papers inspired by MathOverflow
Another candidate for this thread of Mathoverflow success stories: my recent answer to Finding the nearest matrix with real eigenvalues.
From the answer:
We started our research by thinking about ...
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