Greg Marks
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 Oct 28 awarded Good Answer Oct 15 awarded Nice Answer Sep 24 awarded Autobiographer Jul 15 awarded Nice Answer Jul 13 answered How does one justify funding for mathematics research? Jun 2 awarded Yearling Oct 19 awarded Necromancer Sep 13 comment What is the expected number of random numbers (generated uniformly) such that their sum of numbers exceeds one? This question was Problem A3 of the 1958 Putnam Competition (and as such is not research-level mathematics). Sep 13 awarded Informed Aug 20 answered Proof a Weyl Algebra isn't isomorphic to a matrix ring over a division ring Jul 29 answered Subgroups of finite index of fields Jun 25 awarded Revival Jun 2 awarded Yearling Jul 6 comment How do you present a non-existence theorem? This story implicitly answers the problem of the student who shrugs upon hearing the theorem on bounded entire functions. By the time it occurs in a class it's very natural, but presented with it cold, the reaction of any student of normal inquisitiveness would be astonishment and an attempt at a counterexample. A student who isn't excited about celebrated classical results is perhaps best advised to find a field of study more to his liking. Incidentally, a result that has allured many a student into mathematics is, so to speak, a non-existence non-theorem: the continuum hypothesis. Jul 6 comment How do you present a non-existence theorem? My first reaction on seeing the title of this question was to recall Rota's "Ten Lessons I Wish I Had Been Taught": completely erase the blackboard, begin writing in the upper left corner, .... Jun 17 awarded Nice Answer Jun 13 answered When is a topological group Hausdorff (separated)? Jun 2 awarded Yearling Feb 17 awarded Nice Answer Aug 27 comment When a group ring is a local ring For the general problem, can you see why the augmentation ideal is nilpotent?