Category Archives: Teaching

“Operator K-theory” has appeared on AMS Open Math Notes

My final Penn State course (Spring 2017) was about K-theory and operator algebras – the connection between these two has been central to my mathematical life.  I wrote up lecture notes for this course, as has become usual for me.  I’m pleased to report that these have now appeared on the AMS Open Math Notes page.

The American Mathematical Society hosts AMS Open Math Notes,  which is “a repository of freely downloadable mathematical works in progress hosted by the AMS as a service to researchers, teachers and students.”

The Open Math Notes homepage continues  “These draft works include course notes, textbooks, and research expositions in progress. They have not been published elsewhere, and, as works in progress, are subject to significant revision.  Visitors are encouraged to download and use these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.”

 

 

K-theory course online

I am putting the notes from my K-theory course online as they are available.   You can find them here.

I am starting with a purely algebraic development, as in the first few chapters of Milnor, but will soon dramatically change gear and talk about C*-algebras.

We had the interesting surprise of having a TV reporter in our class the other day.  You can view his report/interview here.

 

AMS Open Math Notes

I wonder if you know about the AMS Open Math Notes project? I only just heard of it, but I feel very positive about any projects that make mathematical content more freely available.  Here is the link to the AMS page about the project:

http://www.ams.org/open-math-notes/omn-about

As my students know, I’ve made a habit over the years of putting together TeXed notes for the courses I deliver – especially graduate courses – and now I have quite a number of them.  With some pressure on my time (read: cancer) there is no way that I could bring all of these to formal publication, even if that was the right route for them.  But as “MathNotes” I can see that they might be helpful.  So I’m going to start submitting them, perhaps after light revision, to the AMS site.  I made a start today by posting my notes from the Penn State complex analysis (graduate) course, which I’ve delivered three or four times, taking a slightly different tack each time.  Based on what I learn from that, I have a good queue of other notes to submit as well.  This is actually quite exciting for me.

Updated, December 20th: The notes have now appeared on the OpenMathNotes site, and may be found here.

In further exciting (to me) AMS news, my Winding Around made it to their 2016 bestseller list!  Because of this, the AMS is offering a special discount for orders placed between now and the end of January…

I hope to upload further packages of notes in the new year! Best wishes to all!