Answer by Mike Spivey for More open problems

2010-12-04T20:19:15Z

I have found Richard Guy's Unsolved Problems in Number Theory to be very interesting and useful.

Springer also publishes Unsolved Problems in Geometry (by Croft, Falconer, and Guy).

Answer by Felipe Voloch for More open problems

2010-12-04T20:50:12Z

There is a website with pdfs of many (most, all?) papers of P. Erdos. Several of his later papers are compilations of problems. If you are into that sort of thing, it's the place to go:

http://www.renyi.hu/~p_erdos/

Answer by Jonathan Kiehlmann for More open problems

2010-12-04T21:24:25Z

The Kourovka notebook is published every four years containing unsolved problems in Group Theory.

Answer by Roy Maclean for More open problems

2010-12-04T21:31:16Z

The book Research problems in discrete geometry by Peter Brass, W. O. J. Moser, János Pach, is a very large collection which describes what is known about each problem with a large reference list of papers for each problem.

Also Google Books search: "open problems in" OR "unsolved problems in" OR "research problems in" mathematics

and Google Scholar search: "open problems in" OR "unsolved problems in" OR "research problems in" mathematics

Answer by Cristi Stoica for More open problems

2010-12-04T21:35:31Z

Open Problems In Mathematics And Physics

Answer by Kelly Davis for More open problems

2010-12-04T22:00:37Z

Kirby's list is large (380 pages), specialized (only contains problems in low-dimensional topology), classified on subject (knot theory, 2-manifolds, 3-manifolds, 4-manifolds...), and contains references indicating who has worked on each problem. Sounds like what you want.

Answer by Zsbán Ambrus for More open problems

2010-12-04T22:27:24Z

The Egres Open is a collection of open problems in combinatorics (theoretical combinatorial optimization) by the Egerváry Research Group.

It currently has about a hundred problems, but is actively maintained, so occasionally new ones will appear and some old ones get solved.

Answer by Gerry Myerson for More open problems

2010-12-04T22:43:00Z

The Western Number Theory meeting holds a problem session every year. The problems get written up, and for the last 10 years or so they've been posted to the meeting website (for which, alas, I don't have the URL handy).

Answer by Daniel Moskovich for More open problems

2010-12-04T23:22:10Z

Tomotada Ohtsuki's Problems on invariants of knots and 3–manifolds is a good compilation of open problems in low-dimensional topology, mainly in quantum topology. I think that it complements Kirby's problem list nicely.

Answer by Joseph O'Rourke for More open problems

2010-12-05T02:15:12Z

... even if they are very specialized and not as famous

Taking you at your word, may I humbly point to the list I maintain with Joe Mitchell (SUNY Stonybrook) and Eric Demaine (MIT), focusing on discrete and computational geometry: what we call The Open Problems Project.

Answer by Dale Roberts for More open problems

2010-12-05T02:30:43Z

For the probabilists out there, the recent books by Yuval Peres seem to contain some open problems. For example, see:

Mörters and Peres. Brownian motion. 2010.
Levin, Peres, and Wilmer. Markov Chains and Mixing Times. 2008.

Answer by Denis Osin for More open problems

2010-12-05T06:11:44Z

Group theory: Open problems in combinatorial and geometric group theory, Problems in geometric group theory.

Topology: Open problems in topology

Answer by Andy Putman for More open problems

2010-12-05T06:25:03Z

For problems on topics related to the mapping class group, the moduli space of curves, etc, I recommend the collection of papers "Problems on Mapping Class Groups and Related Topics" edited by Benson Farb. It is available on his webpage here.

Another interesting list of problems on related topics is the problem list for the Center for the Topology and Quantization of Moduli Spaces, which is located here.

Answer by subshift for More open problems

2010-12-05T07:16:35Z

Mike Boyle's open problems in symbolic dynamics.

Answer by Wadim Zudilin for More open problems

2010-12-06T12:19:57Z

These should be really hard: Michel Waldschmidt, Open Diophantine Problems, Moscow Math. Journal 4:1 (2004), 245-305, 312.

Answer by Seva for More open problems

2010-12-08T12:12:15Z

A collection of (mostly, still) open problems in additive combinatorics due to Ernie Croot and myself, including a brief historical account.

Answer by Stopple for More open problems

2010-12-08T19:09:04Z

Problems in analytic number theory around the Riemann Hypothesis

http://www.aimath.org/WWN/rh/

Answer by ndkrempel for More open problems

2010-12-09T00:21:39Z

Many PhD supervisors have lists of open problems in their subject, often hidden somewhere on their web site. Here are some from my university:

Here are 27 research problems in group theory from Rob Wilson: http://www.maths.qmul.ac.uk/~raw/resprob.html

Here are many problems in combinatorics and group theory from Peter Cameron: http://www.maths.qmul.ac.uk/~pjc/oldprobidx.html

(And also his links to other lists of problems: http://www.maths.qmul.ac.uk/~pjc/bcc/links.html#prob)

Answer by Scott Morrison for More open problems

2010-12-09T16:30:34Z

There's a recent list of open problems in von Neumann algebras, from the recent 2010 Noncommutative Geometry and Operator Algebras Spring Institute at Vanderbilt University.

Answer by Pasha Zusmanovich for More open problems

2011-01-03T20:56:47Z

A (very) mixed bag:

A. Auel, E. Brussel, S. Garibaldi and U. Vishne, Open problems on central simple algebras, http://arxiv.org/abs/1006.3304
Many entries in the famous On-line Encyclopedia of Integer Sequences may be considered as problems (to compute further terms, etc.)
Arnold's Problems, 2nd ed., Springer, 2005 (translation from Russian) http://dx.doi.org/10.1007/b138219
(famous?) Ulam's "Problems in Modern Mathematics", and its successor: R.D. Mauldin and S.M. Ulam, Mathematical problems and games, Adv. Appl. Math. 8 (1987), 281-344 http://dx.doi.org/10.1016/0196-8858(87)90026-1
M. Sapir, Some group theory problems, Intern. J. Algebra Computation 17 (2007), 1189-1214, arXiv:0704.2899 (probably related to and/or overlaps with a list provided by Denis Osin).
B. Sturmfels, Open problems in algebraic statistics, arXiv:0707.4558
E. Zelmanov, Some open problems in the theory of infinite dimensional algebras, J. Korean Math. Soc. 44 (2007), 1185-1195 http://www.kms.or.kr/home/journal/RPArticles/View.asp?IDXNo=557&Page=1

Answer by Dan Ramras for More open problems

2011-03-29T03:27:37Z

Mark Hovey maintains a list of open problems in algebraic topology (which, as he points out, hasn't been updated in a while): http://math.wesleyan.edu/~mhovey/problems/

Answer by B. Bischof for More open problems

2011-03-29T03:44:34Z

Ismar Volic from Wellesly has a list of problems in Calculus of Functors related to knot theory on his webpage here.

Answer by Benoît Kloeckner for More open problems

2011-03-29T08:09:31Z

Douglas B. West has a sorted list of open problems in combinatorics and graph theory: http://www.math.uiuc.edu/~west/openp/

Answer by Damek Davis for More open problems

2011-03-29T17:39:06Z

Igor Shparlinski maintains a large list of open problems in exponential and character sums. You can find it on his website: http://web.science.mq.edu.au/~igor/

Answer by Richard Dore for More open problems

2011-03-29T18:00:51Z

Miller has a list of set theory problems here (upper right).

Schindler also has a list of open problems specifically in inner model theory here.

More open problems - MathOverflow [closed]

More open problems