Mark Hovey's papers
Here are Mark Hovey's publications, in reverse
chronological order.
- Smith ideals of structured ring spectra ,
submitted version.
Abstract,
Pdf.
- Brown representability and the Eilenberg-Watts theorem in
homotopical algebra , (2013 version of older preprint),
submitted version.
Abstract,
Pdf.
- Quillen model categories
, Journal of K-theory 11 (2013), 469--478.
Abstract,
Pdf.
- Homological dimensions of ring spectra
, with Keir Lockridge, Homology, Homotopy, and
Applications 15 (2013), 53--71.
Abstract,
Pdf.
- The ghost and weak dimensions of rings and ring
spectra, with Keir Lockridge, Israel J. Math.
182 (2011), 31--46.
Abstract,
Pdf.
- Additive closed symmetric monoidal structures on
R-modules, J. Pure Appl. Algebra 215
(2011), 789--805.
Abstract,
Pdf.
- Gorenstein model structures and generalized derived
categories, with James Gillespie,
Proc. Edinb. Math. Soc. (2) 53 (2010), 675--696.
Abstract,
Pdf.
- Intersection homological algebra,
New topological contexts for Galois theory and algebraic geometry,
133--150, Geom. Topol. Monogr., 16 ,
Geom. Topol. Publ., Coventry, (2009).
Abstract,
Pdf.
- Bounds on the distinguishing chromatic number, with
Karen L. Collins and Ann N. Trenk, Electron. J. Combin. 16
(2009), no. 1, Research Paper 88, 14 pp.
Abstract,
Pdf.
- Semisimple ring spectra, with Keir
Lockridge, New York J. Math. 15 (2009), 219--243.
Abstract,
Pdf.
- The ghost dimension of a ring, with Keir Lockridge,
Proc. Amer. Math. Soc. 137 (2009), 1907--1913.
Abstract,
Pdf.
- The homotopy of $MString$ and $MU \langle 6 \rangle $ at
large primes, Algebr. Geom. Topol. 8 (2008),
2401--2414.
Abstract,
Pdf.
- Morava $E$-theory of filtered colimits,
Trans. Amer. Math. Soc. 360 (2008), 369--382.
Abstract, Dvi, Pdf.
- Cotorsion pairs and model categories,
Interactions between homotopy theory and algebra, 277--296,
Contemp. Math. 436, Amer. Math. Soc., Providence, RI,
2007.
Abstract, Dvi, Pdf.
- Injective comodules and Landweber exact homology
theories, Fund. Math. 196 (2007), 237--251.
Abstract, Dvi,
Pdf.
- On Freyd's generating hypothesis, Q. J. Math.
58 (2007), 31--45. Abstract, Dvi, Pdf.
- The generating hypothesis in the derived category of a
ring, with Keir Lockridge and Gena Puninski, Math. Z. 256
(2007), 789--800.
Abstract,
Pdf.
- The generalized homology of products,
Glasg. Math. J. 49 (2007), 1--10.
Abstract, Dvi, Pdf.
- Chromatic phenomena in the algebra of
BP_{*}BP-comodules, Elliptic cohomology: geometry,
applications, and higher chromatic analogues, 170--203, London
Math. Soc. Lecture Notes {342}, Cambridge University
Press, Cambridge, 2007.
Abstract,
Dvi, Pdf.
- Local cohomology of BP_{*}BP-comodules,
with Neil Strickland, Proc. London Math. Soc. (3) 90
(2005) 521--544.
Abstract,
Dvi, Pdf.
- Comodules and Landweber exact homology theories,
with Neil Strickland, Adv. Math. 192 (2005), 427--456.
Abstract,
Dvi, Pdf.
- Operations and co-operations in Morava E-theory,
Homology Homotopy Appl. 6 (2004), 201--236.
Abstract,
Dvi, Pdf.
- Homotopy theory of comodules over a Hopf
algebroid, Homotopy theory: relations with algebraic geometry,
group cohomology and algebraic $K$-theory (Evanston, IL 2002), 261--304,
Contemp. Math. 346, Amer. Math. Soc., Providence, RI,
2004.
Abstract,
Dvi, Pdf.
- Morita theory for Hopf algebroids and presheaves of
groupoids, Amer. J. Math. 124 (2002),
1289-1318.
Abstract,
Dvi.
- Cotorsion pairs, model category structures, and
representation theory, Math. Z. 241 (2002), 553-592.
Abstract,
Dvi.
- Quillen model structures for relative homological
algebra, with J. Daniel Christensen,
Math. Proc. Camb. Phil. Soc. 133 (2002), 261-293.
Abstract,
Dvi.
- Spectra and symmetric spectra in general model
categories, J. Pure Appl. Alg. 165 (2001),
63-127.
Abstract, Dvi.
- Classifying subcategories of modules,
Trans. Amer. Math. Soc., 353 (2001), 3181-3191.
Abstract,
Dvi.
Note that this paper also has an erratum, which
appeared in Trans. Amer. Math. Soc. 360 (2008),
p. 2809. Here is the Pdf.
- Stably thick subcategories of modules over Hopf
algebras, with John Palmieri,
Math. Proc. Camb. Phil. Soc. 130 (2001), 441-474.
Abstract, Dvi .
- Model category structures on chain complexes of
sheaves, Transactions of the AMS 353 (2001),
2441-2457.
Abstract, Dvi .
- Galois theory of thick subcategories in modular
representation theory, with John Palmieri, J. Algebra
, 230 (2000), 713-729.
Abstract, Dvi .
- Phantom maps and chromatic phantom maps, with J. Daniel
Christensen, Amer. J. Math., 122 (2000),
275--293.
Abstract,
Dvi.
- Symmetric spectra, with Brooke Shipley and Jeff
Smith, J. Amer. Math. Soc. 13 (2000), no. 1,
149--208.
The most sensible thing you can do here is go to the Journal's web site, where you
ought to be able to download the published version. If not,
Abstract, Dvi .
- Invertible spectra in the E(n)-local stable homotopy
category, with Hal Sadofsky, J. London Math. Soc. (2)
60 (1999), 284--302. Abstract, Dvi, Ps, .
- The structure of the Bousfield lattice, with John
Palmieri, Homotopy invariant algebraic structures (Baltimore, MD 1998),
175--196, Contemp. Math. 239,
Amer. Math. Soc., Providence, RI, 1999.
Abstract,
Dvi.
- Model categories, Mathematical
Surveys and Monographs 63, AMS, Providence, RI, 1999 (x + 209 pages).
This book has now appeared, so I will no longer let you download
it. You can look at the table of
contents. Also, I am keeping a list of errata, in hopes of a second
edition and in the interests of accuracy, so if you know
of any, please send them to me. Here is the
.dvi file of errata, last modified 5/2/2002.
- Morava K-theories and localisation, with Neil
Strickland, Mem. Amer. Math. Soc. 139,
no. 666 (1999) (104 pages).
Dvi,
Ps, Abstract.
- v_n-Elements in ring spectra and applications to bordism
theory, Duke Mathematical Journal,
88 (1997), 327-356.
Abstract,
Dvi,
Ps.
- Axiomatic stable homotopy theory, with John
Palmieri and Neil Strickland, Mem. Amer. Math. Soc. ,
128, no. 610 (1997) (114 pages).
Abstract,
Dvi,
Ps.
- Tate cohomology lowers chromatic Bousfield
classes, with Hal Sadofsky, Proceedings of the American
mathematical Society, 124 (1996), 3579-3585. Abstract, Dvi, Ps.
- Cohomological Bousfield classes, Journal of
Pure and Applied Algebra, 103, (1995), 45-59.
Abstract, Dvi, Ps.
- Spin bordism and elliptic homology,
Matematische Zeitschrift, 219, (1995),
163-170.
Abstract, Dvi, Ps.
- Bousfield localization functors and Hopkins' chromatic
splitting conjecture, The Cech Centennial (M. Cenkl and
H. Miller, eds.), Contemporary Mathematics, volume 181, American
Mathematical Society, 1995, pp. 225-250. Abstract, Dvi, Ps.
- The 7-connected cobordism ring at p=3, with Doug
Ravenel, Transactions of the American Mathematical Society,
347, (1995), 3473-3502.
Abstract,
Dvi, Ps.
- Lusternik-Schnirelmann cocategory,
Illinois Journal of Mathematics 37 (1993),
224-239.
Abstract,
Dvi, Ps.
- A proof of the existence of level one elliptic
cohomology, Proceedings of the American Mathematical
Society 118 (1993) 1331-1334.
Abstract,
Dvi,
Ps.
- Spin cobordism determines real K-theory, with Mike
Hopkins, Mathematische Zeitschrift, 210
(1992), 181-196. Abstract, Dvi, Ps.
- A-cordial graphs, Discrete Mathematics
93 (1991), 183-194.
- A bijective proof for the parity of Stirling
numbers, with Karen Collins, Ars Combinatoria
31 (1991), 31-32.
- Most graphs are edge-cordial, with Karen Collins
Ars Combinatoria 30 (1990), 289-295.
Here are a couple of unpublished items that might be useful as well.
- Some spectral sequences in Morava E-theory,
(35 pages).
This paper will never be published in this form, but I leave it
here because it is essentially an encyclopedia of spectral sequences in
Morava E-theory, so might be useful as a reference, at least for myself.
I took the spectral sequence that was really new in this paper and put
it into the paper "Morava E-theory is n-1 derived functors away from a
homology theory". Abstract, Dvi, Pdf.
- Monoidal model categories, preprint, 14 pages,
(1998)
This paper will never be published, but it did mark the
introduction of what are now called "semi-model categories". The issue
is that if you have a triple T on a model category, the category of
T-algebras is often not a model category, but it does retain a
significant amount of the model category structure. This later became
important in work of Markus Spitzweck, among others. I
therefore include it here for historical purposes. Abstract, Dvi, or Pdf.
Mark Hovey
Department of Mathematics
Wesleyan University
mhovey@wesleyan.edu