# Questions tagged [open-problems]

If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"

**5**

**2**answers

### Conjectures and open problems in representation theory [closed]

**30**

**1**answer

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

**7**

**0**answers

### When do two knots have isomorphic fundamental bikeis?

**0**

**0**answers

### Area of Disc that Intersects Another under Smooth Flow

**13**

**2**answers

### Is every finite-order unimodular matrix conjugate to a $0,1,-1$ matrix?

**9**

**0**answers

### Is it an open problem whether fast-growing hierarchies can be defined without fundamental sequences?

**27**

**7**answers

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

**4**

**1**answer

### A question regarding Kadison-Kaplansky idempotent conjecture (A nearest group element $g$ to a nontrivial self adjoint unitary element u )

**8**

**1**answer

### What is the state of research on finding all Prime Knots with 17 Crossings?

**12**

**1**answer

### Which knot invariants have no known diagram-independent descriptions?

**112**

**0**answers

### Why polynomials with coefficients $0,1$ like to have only factors with $0,1$ coefficients?

**1**

**1**answer

### The Total Graph is similar to a line graph

**2**

**0**answers

### How many solutions of x^3 +y^3 = z^3+3 are known? [duplicate]

**6**

**0**answers

### A cohomology associated to a (not necessarily integrable) distribution (Hilbert 16th problem and dynamical Lefschetz trace formula 2)

**7**

**1**answer

### Hyperbolic groups and spaces of negative curvature

**0**

**0**answers

### On the convergence of $\sum_{n\geq 1} \frac{\sin (2^n)}{n^s}$

**11**

**0**answers

### Hilbert 16th problem and dynamical Lefschetz trace formula

**0**

**0**answers

### Coloring a graph formed by cliques sharing at most one point

**0**

**0**answers

### Is the exact solution of the wave equation for the scattering of waves by a disk/cylinder an open problem?

**7**

**1**answer

### Open problems concerning all the finite groups

**22**

**1**answer

### Open problems in Sobolev spaces

**5**

**1**answer

### Moore Graphs and Finite Projective Geometry

**32**

**11**answers

### Open questions about posets

**91**

**24**answers

### Noteworthy, but not so famous conjectures resolved recent years

**4**

**1**answer

### Open Problems in Random Graphs [closed]

**7**

**0**answers

### An open problem in Sobolev spaces

**2**

**0**answers

### Is a maximal set of rectangles known for which Lebesgue’s Differentiation Theorem holds true?

**7**

**3**answers

### For what sets does the Lebesgue Differentiation Theorem hold in one dimension?

**14**

**2**answers

### Is it known how the Sigma Algebra generated by Jordan measurable sets compares to universally measurable sets and analytic sets?

**23**

**0**answers

### Is it still an open problem whether $\mathbb{R}^\omega$ is normal in the box topology?

**4**

**2**answers

### Integral equality of 1st intrinsic volume of spheroid

**103**

**1**answer

### What is the definition of the function T used in Atiyah's attempted proof of the Riemann Hypothesis?

**4**

**1**answer

### Updated background on Hilbert 16th problem?

**3**

**1**answer

### Existence of a Lipschitz map from a positive measure set to a ball

**0**

**2**answers

### What are some of the unsolved mathematical problems that we generally agree were posed before the beginning of the XX.-th century?

**3**

**1**answer

### A non-rational variety with a full exceptional collection?

**19**

**2**answers

### Is there a known Turing machine which halts if and only if the Collatz conjecture has a counterexample?

**7**

**1**answer

### What are some open problems in moduli spaces and moduli stacks?

**2**

**0**answers

### Weak Leopoldt Conjecture for the Split Prime $\mathbb{Z}_p$-extension

**7**

**0**answers

### A question related to Conways 99 graph problem

**2**

**0**answers

### Algebraic version of unilateral shift

**7**

**4**answers

### Upper bound of the expectation of sum of the absolute value pairs

**1**

**0**answers

### Status of an open problem in isometric aspect of Banach space theory

**9**

**1**answer

### Status of the three-body problem

**7**

**0**answers

### Status of two Banach space theory open problems posted by Pełczyński

**45**

**13**answers

### PhD dissertations that solve an established open problem

**2**

**1**answer

### Lattices that top is the top of its join-irreducibles, such that a random element is almost surely greater then any given join-irreducible

**2**

**1**answer

### An upper bound for a vector with given norm 1 and norm 2

**6**

**0**answers

### Is a stronger version of the Erdős-Turan conjecture on arithmetic progessions reasonable? (And related questions.)

**1**

**0**answers