NYU today put out a press release claiming that Physicists ‘Bootstrap’ Validity of String Theory, telling us that NYU and Caltech scientists develop innovative mathematical approach to ...

Nordita ran a program on quantum gravity, featuring lectures and panel discussions on various approaches to the subject. Lecture notes from the six mini-courses are now available ...

- Groupes de Selmer et Fonctions L p-adiques pour les representations modulaires adjointes (E. Urban), preprint 2006 , pdf - Vanishing of $L$-functions and ranks of ...

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 ...

It’s been taking me forever to sort out and write down the details of implications of the proposal described here. While waiting for that to be done, I thought it might be a good idea to ...

Research partially supported by NSF grants DMS-1404769, DMS-1701651, DMS-1952667, DMS-2001369, and DMS-2302208; by the ERC Advanced Grant nr. 290766 - AAMOT – Arithmetic of Automorphic MOTives; and by ...

Professor A.J. de Jong, Columbia university, Department of Mathematics. This semester I am not running my graduate student seminar. To find the webpages for the previous semesters, please visit this ...

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, ...

website creator Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat ...

I am a professor in the Mathematics Department at Columbia University.

The first half of the course will center on Hopf algebras and their applications in low-dimensional topology. Topics will include various constructions of link and 3-manifold invariants from Hopf ...