John Palmieri: research

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Research

I conduct research in the fields of algebraic topology and algebra. I've written a brief description (PDF file) of some of my work; this is taken from a document (intended for a somewhat general audience) that I wrote in 2001. Note that it focuses on my research, and does not attempt to give a general overview of algebraic topology or stable homotopy theory.

Slides from lectures

December 2012, Cascade Topology Seminar: Algebraic topology in Sage (PDF file) and the accompanying Sage worksheet file
August 2011, WCATSS: Cohomology opertions and the Steenrod algebra (PDF file)
October 2010, UCLA, AMS meeting: Artin-Schelter regular algebras and the Steenrod algebra (PDF file)
May 2010, MIT topology seminar: Algebraic topology vs. Sage (Sage worksheet file)
October 2008, UBC AMS/CMS meeting: Commutators in the Steenrod algebra (PDF file)

Papers and preprints

(These are listed with the most recent papers first, more or less.)

30. Invariant theory for quantum Weyl algebras under finite group action, joint with S. Ceken, Y. Wang, J. J. Zhang, preprint arXiv 1501.07881 (15 pages).: Read the abstract.
29. The discriminant criterion and automorphism groups of quantized algebras, joint with S. Ceken, Y. Wang, J. J. Zhang, Advances in Mathematics 286 (2015), 754-801: Read the abstract or until December 25, download the paper.
28. The discriminant controls automorphism groups of noncommutative algebras, joint with S. Ceken, Y. Wang, J. J. Zhang, Advances in Mathematics 269 (2015), 551–584: Read the abstract.
27. Commutators in the Steenrod algebra, joint with J. J. Zhang, New York J. Math. 19 (2013), 23-37: Read the abstract, or go to the article.
26. The Bousfield lattice for truncated polynomial algebras, joint with W. G. Dwyer, in Homology, Homotopy, and Applications 10(1) (2008), 413-436.: Read the abstract, or go to the article at the HHA website.
25. The problem session, joint with Carles Broto, Nguyen H V Hung, Nicholas J Kuhn, Stewart Priddy and Nobuaki Yagita, in Geometry and Topology Monographs 11 (2007), 435-441: Go to the article at the Geometry and Topology website.
24. Koszul equivalences in A-infinity algebras, joint with D.-M. Lu, Q.-S. Wu and J. J. Zhang, New York J. Math. 14 (2008), 325-378.: Read the abstract or go to the article at the New York Journal website.
23. A-infinity structure on Ext-algebras, joint with D.-M. Lu, Q.-S. Wu and J. J. Zhang, Journal of Pure and Applied Algebra 213 (2009), 2017-2037.: Read the abstract.
22. A user's guide to the Bockstein spectral sequence, preprint (2005), 7 pages.: Read the abstract, or download a dvi file or a pdf file.
21. The Lambda algebra and Sq⁰, in Geometry and Topology Monographs 11 (2007), 201-216.: Read the abstract, or go to the article at the Geometry and Topology website.
20. Some quotient Hopf algebras of the dual Steenrod algebra, Trans. Amer. Math. Soc. 358 (2006), 671-685.: Read the abstract, or download either a dvi file or a pdf file.
19. Regular algebras of dimension 4 and their A_oo-Ext-algebras, joint with D.-M. Lu, Q.-S. Wu and J. J. Zhang, Duke Mathematical Journal 137 (2007), 537-584.: Read the abstract.
18. A_oo-algebras for ring theorists, joint with D.-M. Lu, Q.-S. Wu and J. J. Zhang, Algebra Colloquium 11 (2004), 91-128.: Read the abstract.
17. There is no paper 17 at the moment.
16. Stably thick subcategories of modules over Hopf algebras, joint with Mark Hovey, Math. Proc. Cambridge Philos. Soc. 130 (2001) 441-474.: Read the abstract.
15. Galois theory of thick subcategories in modular representation theory, joint with Mark Hovey, J. Algebra 230 (2000), 713-729.: Read the abstract
14. Ohkawa's theorem: there is a set of Bousfield classes, joint with Bill Dwyer, Proc. Amer. Math. Soc. 129 (2001), 881-886.: Read the abstract or or go the issue of the Proceedings containing this article (at the AMS website).
13. Stable homotopy over the Steenrod algebra, Memoirs of the American Mathematical Society, volume 151, number 716 (2001).: Read the abstract. There is also a list of errata: dvi file or pdf file.
12. Vanishing lines in generalized Adams spectral sequences are generic, joint with Mike Hopkins and Jeff Smith, Geometry and Topology 3 (1999), 155-165.: Read the abstract or go to the Geometry and Topology link to the paper.
11. The structure of the Bousfield lattice, joint with Mark Hovey, Homotopy invariant algebraic structures (J.-P. Meyer, J. Morava, and W. S. Wilson, eds.), Contemp. Math., 239 (1999), 175-196.: Read the abstract.
10. Quillen stratification for the Steenrod algebra, Annals of Mathematics 149 (1999), 421-449.: Read the abstract or go to the link to the paper at the Mathematics ArXiv. There is also a list of errata: dvi file or pdf file.
9. Support varieties for the Steenrod algebra, joint with Dan Nakano, Mathematische Zeitschrift 227 (1998), 663-684.: Read the abstract or go to the article. (at the Springer-Verlag website).
8. Axiomatic stable homotopy theory, joint with Mark Hovey and Neil P. Strickland, Memoirs of the American Mathematical Society, volume 128, number 610 (1997).: Read the abstract.
7. A note on the cohomology of finite-dimensional cocommutative Hopf algebras, Journal of Algebra 188 (1997), 203-215.: Read the abstract.
6. Nilpotence for modules over the mod 2 Steenrod algebra II, Duke Mathematical Journal 82 (1996), 209-226.: Read the abstract.
5. Nilpotence for modules over the mod 2 Steenrod algebra I, Duke Mathematical Journal 82 (1996), 195-208.: Read the abstract.
4. The chromatic filtration and the Steenrod algebra, Topology and Representation Theory (E. Friedlander and M. E. Mahowald, eds.), Contemp. Math. 158 (1994), 187-201.: Read the abstract.
3. Self maps of spectra, a theorem of J. Smith, and Margolis' killing construction, joint with Hal Sadofsky, Mathematische Zeitschrift 215 (1994), 477-490.: Read the abstract.
2. A nilpotence theorem for modules over the mod 2 Steenrod algebra, joint with Michael J. Hopkins, Topology 32 (1993), 751-756.: Read the abstract.
1. Self-maps of modules over the Steenrod algebra, Journal of Pure and Applied Algebra 79 (1992), 281-291.: Read the abstract.

Notes:

I no longer own the copyright on most of the published papers. So for each of those, you will have to satisfy yourself with an abstract and a pointer to its physical location. If you want copies, email me and I'll try to send you a reprint.
For each of the unpublished papers, there is a link a pdf file, which you can view on-screen or download and print. If you have any problems doing these things, email me and I'll try to send you a preprint.