User Sam Hopkins

58 votes

Mathematicians with both “very abstract” and “very applied” achievements

answered Jan 1, 2020 at 0:51

52 votes

Noteworthy, but not so famous conjectures resolved recent years

answered Feb 2, 2019 at 20:49

45 votes

Every mathematician has only a few tricks

answered Jun 16, 2020 at 2:04

40 votes

What's a great christmas present for someone with a PhD in Mathematics?

answered Dec 11, 2020 at 23:07

40 votes

Important formulas in combinatorics

answered Aug 19, 2015 at 15:49

37 votes

Examples of unexpected mathematical images

answered Aug 9, 2014 at 7:55

37 votes

Updates to Stanley's 1999 survey of positivity problems in algebraic combinatorics?

answered Dec 31, 2019 at 1:40

37 votes

Changes forced by the pandemic

answered May 28, 2021 at 15:08

34 votes

New grand projects in contemporary math

answered Dec 31, 2012 at 16:23

32 votes

Which popular games have been studied mathematically?

answered Jan 10, 2018 at 0:30

32 votes

Accepted

Who is Mrs. Gerber?

answered Jul 21, 2021 at 19:45

31 votes

PhD dissertations that solve an established open problem

answered Sep 29, 2020 at 20:45

27 votes

"Strange" proofs of existence theorems

answered Oct 10, 2018 at 14:48

23 votes

Open questions about posets

answered Feb 6, 2019 at 17:56

23 votes

Proofs of theorems that proved more or deeper results than what was first supposed or stated as the corresponding theorem

answered Mar 7, 2021 at 3:12

20 votes

Applications of super-mathematics to non-super mathematics

answered Feb 28 at 19:07

20 votes

Accepted

trace and involution permutations: Part I

answered Mar 5, 2017 at 17:03

18 votes

Elementary applications of linear algebra over finite fields

answered Jan 14, 2013 at 17:39

18 votes

Open questions about posets

answered Feb 6, 2019 at 18:06

18 votes

Theorems that impeded progress

answered Apr 5, 2019 at 0:15

17 votes

Decision problems for which it is unknown whether they are decidable

answered Nov 6, 2019 at 16:00

17 votes

Accepted

Is matroid realizability computable?

answered Oct 13, 2020 at 4:57

16 votes

What definitions were crucial to further understanding?

answered Dec 3, 2018 at 16:27

15 votes

Great polyhedra: What does "great" signify?

answered Apr 16, 2022 at 1:43

15 votes

Important open problems that have already been reduced to a finite but infeasible amount of computation

answered May 15, 2015 at 13:51

15 votes

Accepted

Two questions on the permutohedron

answered Nov 30, 2020 at 18:34

14 votes

Accepted

Why does the number of permutations of $n-1$ adjacent transpositions where the outputs are different equal $2^{n-2}$?

answered Sep 29, 2020 at 23:02

14 votes

Accepted

Can the numerator in Weyl's character formula be written as a determinant?

answered Aug 8, 2021 at 1:26

14 votes

What are examples of (collections of) papers which "close" a field?

answered Dec 3, 2019 at 20:34

14 votes

Why doesn't mathematics collapse even though humans quite often make mistakes in their proofs?

answered Aug 18, 2019 at 21:50

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269 Answers

Mathematicians with both “very abstract” and “very applied” achievements

Noteworthy, but not so famous conjectures resolved recent years

Every mathematician has only a few tricks

What's a great christmas present for someone with a PhD in Mathematics?

Important formulas in combinatorics

Examples of unexpected mathematical images

Updates to Stanley's 1999 survey of positivity problems in algebraic combinatorics?

Changes forced by the pandemic

New grand projects in contemporary math

Which popular games have been studied mathematically?

Who is Mrs. Gerber?

PhD dissertations that solve an established open problem

"Strange" proofs of existence theorems

Open questions about posets

Proofs of theorems that proved more or deeper results than what was first supposed or stated as the corresponding theorem

Applications of super-mathematics to non-super mathematics

trace and involution permutations: Part I

Elementary applications of linear algebra over finite fields

Open questions about posets

Theorems that impeded progress

Decision problems for which it is unknown whether they are decidable

Is matroid realizability computable?

What definitions were crucial to further understanding?

Great polyhedra: What does "great" signify?

Important open problems that have already been reduced to a finite but infeasible amount of computation

Two questions on the permutohedron

Why does the number of permutations of $n-1$ adjacent transpositions where the outputs are different equal $2^{n-2}$?

Can the numerator in Weyl's character formula be written as a determinant?

What are examples of (collections of) papers which "close" a field?

Why doesn't mathematics collapse even though humans quite often make mistakes in their proofs?