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Sam Hopkins
Cambridge, MA
http://mit.edu/~shopkins
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Top Questions
91
votes
Why do combinatorial abstractions of geometric objects behave so well?
ag.algebraic-geometry
co.combinatorics
rt.representation-theory
coxeter-groups
matroid-theory
asked Nov 27 '16 at 18:55
mathoverflow.net
40
votes
Examples of “unsuccessful” theories with afterlives
soft-question
ho.history-overview
big-list
asked Sep 18 '19 at 22:06
mathoverflow.net
34
votes
Updates to Stanley's 1999 survey of positivity problems in algebraic combinatorics?
reference-request
co.combinatorics
open-problems
algebraic-combinatorics
asked Dec 30 '19 at 22:17
mathoverflow.net
20
votes
Cyclic action on Kreweras walks
co.combinatorics
ds.dynamical-systems
posets
asked Feb 1 '20 at 20:12
mathoverflow.net
20
votes
Which fields have multiplicative group isomorphic to additive group times Z/2Z?
fields
asked Nov 15 '13 at 6:09
mathoverflow.net
19
votes
Counting problems where unlabeled is easier than labeled
co.combinatorics
enumerative-combinatorics
hyperplane-arrangements
asked Mar 6 '16 at 22:04
mathoverflow.net
18
votes
Why did _Research in the Mathematical Sciences_ change from open access to subscription-based?
soft-question
journals
asked Aug 23 '18 at 21:38
mathoverflow.net
18
votes
Is it possible that the GHKK canonical basis for cluster algebras is the Lusztig/Kashiwara dual canonical basis?
co.combinatorics
rt.representation-theory
grassmannians
cluster-algebras
canonical-bases
asked Jul 5 '19 at 9:11
mathoverflow.net
17
votes
Is there a n/2 version of the Erdős-Hanani conjecture?
co.combinatorics
asked Feb 16 '13 at 1:02
mathoverflow.net
15
votes
Is there a natural notion of completion of a Coxeter system?
gr.group-theory
rt.representation-theory
coxeter-groups
asked Mar 5 '14 at 3:24
mathoverflow.net
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Top Answers
50
Noteworthy, but not so famous conjectures resolved recent years
mathoverflow.net
48
Mathematicians with both “very abstract” and “very applied” achievements
mathoverflow.net
40
Important formulas in combinatorics
mathoverflow.net
40
Every mathematician has only a few tricks
mathoverflow.net
37
What's a great christmas present for someone with a PhD in Mathematics?
mathoverflow.net
37
Updates to Stanley's 1999 survey of positivity problems in algebraic combinatorics?
mathoverflow.net
32
Examples of unexpected mathematical images
mathoverflow.net
31
New grand projects in contemporary math
mathoverflow.net
28
Which popular games have been studied mathematically?
mathoverflow.net
25
“Strange” proofs of existence theorems
mathoverflow.net
23
Open questions about posets
mathoverflow.net
22
PhD dissertations that solve an established open problem
mathoverflow.net
20
trace and involution permutations: Part I
mathoverflow.net
20
Theorems that impeded progress
mathoverflow.net
18
Elementary applications of linear algebra over finite fields
mathoverflow.net
18
Open questions about posets
mathoverflow.net
16
Two questions on the permutohedron
mathoverflow.net
16
What definitions were crucial to further understanding?
mathoverflow.net
15
Is matroid realizability computable?
mathoverflow.net
15
Decision problems for which it is unknown whether they are decidable
mathoverflow.net
14
Why does the number of permutations of $n-1$ adjacent transpositions where the outputs are different equal $2^{n-2}$?
mathoverflow.net
14
Why doesn't mathematics collapse even though humans quite often make mistakes in their proofs?
mathoverflow.net
13
What are examples of (collections of) papers which “close” a field?
mathoverflow.net
13
About the definition of E8, and Rosenfeld's “Geometry of Lie groups”
mathoverflow.net
13
Integer but not Laurent sequences
mathoverflow.net
12
Time-saving (technology) tricks for writing papers
mathoverflow.net
12
Explanatory vs Non-explanatory Proofs
mathoverflow.net
11
Fascinating moments: equivalent mathematical discoveries
mathoverflow.net
11
Enumerating all permutations that are “square roots” of derangements
mathoverflow.net
11
What is the amplituhedron?
mathoverflow.net
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