At Yale I finally met Igor Frenkel, who is unrelated to Edward Frenkel although their lives have uncanny parallels. Igor suggested I take a look at Pavel Florensky’s book “Imaginariness in Geometry” (usually translated Imaginary Numbers in Geometry), published in 1922, and containing a non-euclidean interpretation of the geometry of Dante’s cosmos, along with much else. It turns out that there is an extensive literature in several languages on Dante’s non-euclidean geometry, but I have no time to write about it (much less to read it).
The urgently-needed post on Dante’s geometry is one of several that have been postponed to the indefinite future. Here are some other likely titles of future posts:
Eminem’s math envy (inspired by a message from Olivier Fouquet, actually featuring the song Omnicron by Jedi Mind Tricks)
This is what charisma looks like, part 2: Is mathematics democratic?
Algebraic number theory declared “near death” by ECM medical team
Some future posts still await complete titles:
(*) An account of the three (!) reviews of math books I’ve just completed, all favorable; all of the books conform to the enigmatic rule revealed in this post;
(*) This is what charisma looks like, part 4;
(*) Something about the Institute for Figuring;
(*) And a follow-up to this recent post.