Title: Open problems in mathematical physics,
Abstract: We present a list of open questions in mathematical physics. After a
historical introduction, a number of problems in a variety of different fields
are discussed, with the intention of giving an overall impression of the
current status of mathematical physics, particularly in the topical fields of
classical general relativity, cosmology and the quantum realm. This list is
motivated by the recent article proposing 42 fundamental questions (in physics)
which must be answered on the road to full enlightenment. But paraphrasing a
famous quote by the British football manager Bill Shankly, in response to the
question of whether mathematics can answer the Ultimate Question of Life, the
Universe, and Everything, mathematics is, of course, much more important than
that.