# Questions tagged [big-list]

Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

**57**

**28**answers

### Proofs where higher dimension or cardinality actually enabled much simpler proof?

**17**

**3**answers

### Examples of improved notation that impacted your research?

**13**

**5**answers

### Striking existence theorems with mild conditions, and simple to state: more recent examples?

**5**

**0**answers

### Interesting things you learned while grading/marking? [closed]

**11**

**3**answers

### Series and sequences in physical systems & closed form expressions

**0**

**1**answer

### Do mathematicians ignore mathematical works from non-mathematicians? [closed]

**42**

**10**answers

### List of long open, elementary problems which are computational in nature

**3**

**1**answer

### Abstract mathematical concepts/tools appeared in machine learning research

**60**

**7**answers

### Results that are widely accepted but no proof has appeared

**13**

**2**answers

### Contrasting theorems in classical logic and constructivism

**62**

**30**answers

### Atlas-like websites on specific areas of mathematics

**7**

**0**answers

### Importance of textbooks in health of a sub-discipline

**5**

**3**answers

### Update on “Hopf algebras: their status and pervasiveness” by Hazewinkel

**53**

**60**answers

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

**7**

**7**answers

### Important combinatorial and algebraic interpretations of the coefficients in the polynomial $[n]!_q = (1+q)(1+q+q^2) \ldots (1+q+\cdots + q^{n-1})$

**1**

**0**answers

### Mathematical problems reducing to the traveling salesman problem

**1**

**1**answer

### Examples of “irregularities” in mathematics, other than prime numbers [closed]

**5**

**1**answer

### The Idea of Kroneckerian geometry

**27**

**18**answers

### Modeling in pure math

**15**

**8**answers

### Conceptual insights and inspirations from experimental and computational mathematics [duplicate]

**4**

**1**answer

### A list of locally finitely presentable topoi that are not coherent

**27**

**7**answers

### Decision problems for which it is unknown whether they are decidable

**5**

**0**answers

### Theorems which are not numerically verified

**1**

**0**answers

### Open problems in fiber bundles theory

**2**

**2**answers

### Measuring failure of a setup to preserve some structure giving interesting notions

**7**

**3**answers

### Lesser known examples of perseverance with a successful ending [closed]

**29**

**1**answer

### Which of the proofs of the fundamental theorem of algebra can actually produce bounds on where the roots are?

**36**

**15**answers

### Examples of “unsuccessful” theories with afterlives

**4**

**0**answers

### Fredholm theory of non elliptic operators

**15**

**7**answers

### Examples of proofs by making reduction to a finite set [closed]

**20**

**2**answers

### How to accelerate progress in mathematical research? [closed]

**56**

**5**answers

### Examples where “thin + thin = nice and thick”

**14**

**2**answers

### Surprising appearances of Painlevé transcendents

**8**

**1**answer

### Prominent examples of $q$-analogs without known cyclic sieving

**1**

**0**answers

### Research-level blogs on complex networks:

**21**

**1**answer

### When simple cohomological computations predict ingenious algebro-geometric constructions?

**34**

**27**answers

### Examples of simultaneous independent breakthroughs

**14**

**1**answer

### Legendary extra parameters to simplify a counting problem

**5**

**0**answers

### Where have you encountered “arrangement spaces”?

**9**

**0**answers

### True on stalks, false on affine opens [closed]

**53**

**5**answers

### Arriving at the same result with the opposite hypotheses

**10**

**3**answers

### Errata for Bott and Tu's book “Differential Forms in Algebraic Topology”

**4**

**1**answer

### Functors on the category of abelian groups which satisfy $F(G\times H) \cong F(G)\otimes_{\mathbb{Z}} F(H)$

**4**

**1**answer

### Very canonical constructions

**9**

**2**answers

### A comprehensive list of random walk inequalities?

**9**

**0**answers

### Examples of automorphic representations to keep in mind

**15**

**1**answer

### Telling right from left

**4**

**0**answers

### What arithmetic would you do in parallel?

**11**

**5**answers

### Equivalent forms of the P vs. NP problem

**1**

**1**answer