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, ...
The philosophy of Columbia's central administration has been to pursue continuous growth whenever possible. This point has been forcefully expressed by President Bollinger in an interview: We have to ...
I am a fifth year graduate student in mathematics. My advisor is Will Sawin. My research lies in algebraic and arithmetic geometry. I am generally interested in using cohomological tools to study the ...
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 ...
“Understanding US Fixed Income Markets”. January 18, Tuesday, Mikhail Smirnov, Introduction to Seminar. January 20, Thursday, Mikhail Smirnov, Dynamic Leverage ...
Hi, I am a fifth-year PhD student in mathematics at Columbia University. My advisor is Ivan Corwin and my main research interests include probability theory and integrable systems. During fall 2021, I ...
Quanta magazine has just put out an impressive package of material under the title The Unraveling of Space-Time. Much of it is promoting the “Spacetime is doomed” point of view that influential ...