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Open Problem Garden and Wikipedia are good resources for more or less famous open problems. But many mathematicians will be happy with more specialized problems. … It would be useful to be able to check there if new progress was made, who is working to those particular problems, and how important are these problems (e.g. rated as in Open Problem Garden). …

But none of these are of particular significance in mathematics, such that anyone would ordinarily list them as an open problem of note. … So, though it is inherently a subjective judgment: Are there any good examples of significant open problems of this sort? …

As the title might indicate , I would like to look for recommendations for mathematical book that present open problems in depth with commentary. … The only book of this type that I've come across is Arnold's Problems by V.I Arnold, are there any similar ones? …

if I want to have fun solving mathematical problems and to practice problem-solving? … Are there lists/books of such problems? Furthermore, suppose I want to know how it is to do research. Are there lists of the kind "open problems which can be understood by undergraduates". …

I am looking for an open problem in this area for my PhD proposal. … I know that there are many open problems and conjectures, but I would like to find a "good" problem such that I can get some results during my PhD. …

I couldn't find a list of open problems in Hopf algebras. So my question is the following: In the theory of Hopf algebras, what are the (big) open problems? … Any kind of problem/question will be welcome. I am interested in any kind of problem involving Hopf algebras, say going from combinatorics or topology to abstract algebra. …

I am only a beginner in the field, but I would like to have at least a few examples of open problems in deformation theory to give me an idea of the actual status of the theory, and to help guide my learning … It would be nice to have an answer for every open problem posted, possibly with some details and references. …

At the end, Oxley stated some open problems and conjectures in matroid theory. Are there any modern lists about such problems? Are there more open conjectures in matroid theory? …

I am only a beginner in the field of type theory, and I'm wondering if the community could point me out a few open problems in the field. … While I am interested in homotopy type theory, I'd like to receive answers that point to flavors of type theory other than HoTT because open problems in HoTT are not difficult to find on the web (problems …

What are the main open problems in compressed sensing? I am interested in theoretical as well as in numerical point of view. …

Also, maybe we can design special interesting games for some open problems in mathematics (or physics). … My question is: Are there similar games for solving open problems in mathematics (or in physics)? …

What are some open problems in algebraic geometry? What are some open problems in toric varieties? More open problems Open problems with monetary rewards Open problems in Euclidean geometry? … Open Questions in Riemannian Geometry What are some of the big open problems in 3-manifold theory? Open problems in continued fractions theory …

I would like to know which are some noticeable open problems in symbolic dynamics, including substitution dynamics. I'm especially interested in connections with topological chaos of various forms. …

I would like to know if there is a state of the art recent reference on non-archimedean analytic spaces mentioning/listing open problems, conjectures, unresolved questions in the theory (*). … I must precise that even if dynamics and potential theory do perfectly fit for an answer, they are not my first target of interest, I am indeed looking for open problems, conjectures, unresolved or partially …

What are some open problems in sub-Riemannian geometry? I am interested especially in problems concerning connections and curvature, but any contribution is welcomed. …