Motivic stuff

Cohomology, homotopy theory, and arithmetic geometry

Archive for July, 2013

New reference manager colwiz looks great for mathematics

Posted by Andreas Holmstrom on July 11, 2013

Over the years I have tried out (and discarded) a number of reference managers, including Papers for Mac, Mendeley, Bibdesk, and Zotero. Very recently, thanks to a tip by Magnus Carlsson, I finally found one which actually seems to be doing what I want it to do: Colwiz. Here are some of the reasons I like it:

– Articles are stored in the cloud AND on my own computer. I really want both.

– Everything just works, even if you’re not a super-hacker like Andrew Stacey.

– I can easily import (lots of) references from MathSciNet (still not possible in Mendeley, which is why I once posted my angriest online comment ever on their feedback page). For example, I just imported references to all articles ever written by Gillet and/or Soulé in less than a minute.

– Colwiz automatically includes links (via doi and also via MathSciNet) to online versions of the article. I think this is brilliant.

– The desktop application apparently does not automatically mess up my own folders and naming of files.

– It’s free (at least as long as you don’t want more than 2 or 3 GB of pdf articles in the cloud).

– They have apps for iPhone, iPad, and Android.

– It’s designed for collaboration.

So far I haven’t discovered any major drawbacks. I doubt that their e-reader handles djvu files, and it seems (unless I’ve missed it) that you search in your own references on general keywords only, without the option to use fields like journal name, time interval etc.

Finally, some links to related things: A MathOverflow question on tools for organizing papers. Wikipedia’s rather complete list of reference managers. Konrad Voelkel’s blog, where he has written on managing papers, managing metadata, and much more.

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Iwasawa theory resources

Posted by Andreas Holmstrom on July 9, 2013

Iwasawa theory is a branch of number theory with important applications to class groups of number fields and to conjectures on special values of zeta functions. Here are some starting points for learning more about this.

(You might find other references at Wikipedia and in this general MathOverflow question.)

Book references:

  • Lang: Cyclotomic fields I and II (Google Books)
  • Washington: Introduction to cyclotomic fields (Google Books)
  • Neukirch, Schmidt, Wingberg: Cohomology of number fields (Google Books)
  • Coates and Sujatha: Cyclotomic fields and zeta values
  • Iwasawa Collected Papers (2 volumes)
  • Noncommutative Iwasawa Main Conjecture over Totally Real Fields (SpringerLink)

Surveys and introductions online:

Manfred Kolster: K-theory and arithmetic (Very nice basic introduction to zeta values and Iwasawa theory)

The Kato ICM talk 2006

Introductory notes by Jim L. Brown

Surveys of Sujatha:

Surveys of Venjakob:

survey of Greenberg. Other surveys, and a book draft, on Greenberg’s webpage.

Matthias Flach surveys:

survey by Mitchell from the Handbook of K-theory, on Iwasawa theory and homotopy theory. (See also an interesting blog post of Eric Peterson here, for some possible connections with chromatic homotopy theory)

For noncommutative Iwasawa theory, here are some additional key papers:

Finally, a list of all papers on MathSciNet labelled with subject code 11R23 (Iwasawa theory), the latest papers on arXiv, and a MathOverflow search on “Iwasawa”.

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Free access to all Elsevier material for postdocs between jobs

Posted by Andreas Holmstrom on July 8, 2013

If you are a postdoctoral researcher between jobs, you can apply for free access to all Elsevier/ScienceDirect scholarly articles here. It seems like all you need is a letter on official letterhead from your last institution, and what you (might?) get is free access for a 6-month period, with a personal access code. Note that you have to apply before Aug 31st! Probably this is something they’re experimenting with partly in response to criticism and boycott, but regardless of your opinion on Elsevier and the boycott debate, access to “their” articles might be useful.

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