Mathematical Work

I'm a Professor of Mathematics at Northern Arizona University. I teach all manner and level of courses and do research in several areas of pure mathematics. Below you'll find links to my curriculum vita, abstracts and preprints of recently written articles, and a link to MathSciNet reviews of my work.

Here's my curriculum vita. It's a little formal, but it's one way to find out a little more of what this part of my life is about.

Here's a plain html page containing a statement about my research interests.

I am helping to organize a special semester on arrangements at the Mathematical Sciences Research Institute in Berkeley, to take place in fall of 2004. Here's the conference web page.

I co-edited the conference proceedings from a workshop on arrangements in Tokyo in 1998 (the "OrlikFest"). Here's the online description with ordering information.

Most of my recent papers are available on the Arxiv preprint server. Here is a listing, with links to abstracts and full articles. For the full citations, click on the link to my curriculum vita above.

1. math.CO/0405210 The line geometry of resonance varieties. Michael Falk. 30 pages. CO (AG).
2. math.CO/0010167 Line-closed matroids, quadratic algebras, and formal arrangements. Michael Falk. 21 pages. CO (AT RA).
3. math.CO/0009135 Combinatorial and algebraic structure in Orlik-Solomon algebras. Michael Falk. 16 pages. CO (RA).
4. math.CO/0002107 On the homotopy theory of arrangements, II. Michael Falk, Richard Randell. 33 pages. CO (AG AT GT).
5. math.CO/0002094 Parallel connections and bundles of arrangements. Michael J. Falk, Nicholas J. Proudfoot. 21 pages. CO (AT GT).
6. math.CO/9805128 Orlik-Solomon algebras and Tutte polynomials. Carrie Eschenbrenner, Michael Falk. 12 pages. CO.
7. alg-geom/9412009 $\beta$-nbc bases for cohomology of local systems on hyperplane complements. Michael Falk, Hiroaki Terao. 14 pages. CO.

Here is a link to AMS MathSciNet reviews of all of my published work, with links (which may or may not be enabled) to the original journal articles. If you want a hard copy of one of my older papers, and are unable to get it easily, just e-mail me at michael.falk@nau.edu and I'll be happy to send you a reprint.

Last updated December 23, 2004.

NAU Home Page Department of Mathematics Michael Falk's Home Page