Professor A.J. de Jong, Columbia university, Department of Mathematics. One might say: an explanation serves to remove or to avert a misunderstanding---one, that is, that would occur but for the ...
There’s a new book out this week, a biography of Roger Penrose by Patchen Barss, with the title The Impossible Man: Roger Penrose and the cost of genius. Penrose is one of the greatest ...
I am an Assistant Professor of Mathematics at Columbia University, in the group of Geometry & Analysis and Mathematical Physics. My research interests are General Relativity, Partial Differential ...
If a post-truth field of science is going to keep going, it needs to convince funders and the public that progress is being made, so there’s a continual need for people uninterested in truth and ...
Curt Jaimungal has a piece out, an interview with Lenny Susskind, with the title The Crisis in String Theory is Worse Than You Think…. Some of what Susskind has to say is the same as in his recent ...
The spreadsheet presented here tabulates enrollment data for classes at Columbia University that are likely to have enrolled at least one undergraduate. It includes classes offered in Fall 2019, Fall ...
We will be using the following two textbooks: 1) Homotopic topology, by A.Fomenko, D.Fuchs, and V.Gutenmacher. Homotopy and homotopy equivalence. CW complexes. Cellular approximation. Category theory, ...