Research

Publications:

• Invariance properties of coHochschild homology
with K. Hess, arXiv:1811.06508,
Journal of Pure and Applied Algebra to appear.


• Coalgebras in symmetric monodical categories of spectra
with M. Peroux, arXiv:1708.02592,
Homology, Homotopy, and Applications 21 (2019) 1-18.


• An algebraic model for rational torus-equivariant spectra
with J. P. C. Greenlees,
arXiv:1101.2511, Ver. 4 2016,
Journal of Topolology 11 (2018) 666-719.


• Computational tools for topological coHochschild homology
with A.M. Bohmann, T. Gerhardt, A. Hogenhaven, and S. Ziegenhagen,
arXiv: 1706.01908, Topol. Appl. 235 (2018) 185-213.


• An algebraic model for commutative HZ-algebras
with B. Richter, arXiv:1411.7238,
Algebr. Geom. Topol. 17 (2017) 2013-2038.


• A necessary and sufficient condition for induced model categories
with K. Hess, M. Kedziorek, and E. Riehl,
arXiv:1509.08154, Journal of Topology 10 (2017) 324--369.


• Rational SO(2)-equivariant spectra
with D. Barnes, J.P.C. Greenlees, and M. Kedziorek,
arXiv:1511.03291, Algebr. Geom. Topol. 17 (2017) 983-1020.


• Waldhausen K-theory of spaces via comodules
with Kathryn Hess, arXiv:1402.4719,
Advances in Math. 290 (2016), 1079-1137.


• Left-induced model structures and diagram categories
with Marzieh Bayeh, Kathryn Hess, Varvara Karpova, Magdalena Kedziorek, and Emily Riehl,
arXiv:1401.3651, Contemp. Math. 641 (2015) 49-81.


• Homotopy theory of modules over diagrams of rings
with J. P. C. Greenlees , arXiv:1309.6997,
Proceedings of the American Mathematical Society Ser. B 1 (2014), 89-104.


• Fixed point adjunctions for equivariant module spectra
with J. P. C. Greenlees, arXiv:1301.5869,
Algebraic and Geometric Topology 14 (2014), no. 3, 1779-1799.


• The homotopy theory of coalgebras over a comonad
with Kathryn Hess, arXiv:1205.3979,
Proceedings of the London Mathematical Society, 108 (2014), 484-516.


• An algebraic model for free rational G-spectra
with J. P. C. Greenlees, arXiv:1101.4818,
Bulletin of the London Mathematical Society, 46 (2014), no. 1, 133-142.


• The cellularization principle for Quillen adjunctions
  with J. P. C. Greenlees, Homology, Homotopy and Applications 15 (2013), no.2, 173-184.


• An algebraic model for free rational G-spectra for compact connected Lie groups G
  with J. P. C. Greenlees ,
  Mathematische Zeitschrift 269 (2011), no. 1-2, 373-400.
  
  
• A curious example of triangulated-equivalent model categories which are not Quillen equivalent
  with D. Dugger,
  Algebraic and Geomtric Topology 9 (2009), no. 1, 135-166.
  
  
• Enriched model categories and an application to additive endomorphism spectra
with D. Dugger, PDF
(Previously known as: "Enrichments of additive model categories")
34 pp; Theory and applications of categories 18 (2007) 400--439.


• Interactions between homotopy theory and algebra (Chicago 2004)
  L. L. Avramov, J. D. Christensen, W. G. Dwyer, M. A. Mandell and B. Shipley (Eds.)
  Contemporary Math. 436 (2007) 334pp.
  Amer. Math. Soc., Providence, RI
  
  Conference home page with links to preprints and notes based on the talks.
  

• HZ-algebra spectra are differential graded algebras
PDF
American Journal of Mathematics 129 (2007) 351-379.
© 2007 The Johns Hopkins University Press


• Topological equivalences of differential graded algebras
with D. Dugger, PDF
Advances in Mathematics 212 (2007) 37-61.


• Morita theory in stable homotopy theory
PS, and PDF,
Handbook of Tilting Theory (eds. Angeleri Huegel, Happel, Krause)
London Math. Soc. Lecture Notes Series. 332 (2007) 393-409.


• Postnikov extensions of ring spectra
with D. Dugger, PDF
Algebraic and Geometric Topology 6 (2006) 1785-1829.


• K-theory and derived equivalences
with D. Dugger, PS, PDF, and abstract
Duke Math. J. 124 (2004), no.3, 587--617.
© 2005 Duke University Press


• A convenient model category for commutative ring spectra
PS, PDF, and abstract
Contemp. Math. 346 (2004), 473--483.
© 2004 American Mathematical Society


• Equivalences of monoidal model categories
with S. Schwede, PS, PDF, and abstract
Algebraic and Geometric Topology 3 (2003), 287-334.
© 2003 Geometry and Topology Publications


• Stable model categories are categories of modules.
  with S. Schwede, 44pp., PDF, PS, abstract
  Topology 42 (2003), 103-153.
  This circulated as a preprint under the title Classification of stable model categories.
  © 2003 Elsevier Science Ltd.
  


• A uniqueness theorem for stable homotopy theory
  with S. Schwede, PS, PDF, abstract
  Mathematische Zeitschrift 239 (2002), 803-828.
  © 2002 Springer-Verlag.
  


• An algebraic model for rational $S^1$-equivariant stable homotopy theory
PS, PDF, abstract
Quarterly Journal of Mathematics; 53 (2002), 87-110
© 2002 Oxford University Press


• A telescope comparison lemma for THH
  with M. Mandell,
  Topology and its Applications; 117 (2002), 161-174
  abstract © 2002 Elsevier Science
  
  
• Simplicial structures on model categories and functors
  with C. Rezk and S. Schwede,
  Amer. J. of Math. 123 (2001), 551-575
  abstract and PDF © 2001 The Johns Hopkins University Press
  


• Monoidal uniqueness of stable homotopy theory
  Advances in Mathematics 160 (2001), 217-240
  abstract and PDF © 2001 Academic Press
  


• Model categories of diagram spectra
  with M. Mandell, J. P. May and S. Schwede,
  Proc. London Math. Soc. 82 (2001), 441-512
  abstract and PDF © 2001 London Mathematical Society
  

• Symmetric spectra
  with M. Hovey and Jeff Smith,
  J. of the Amer. Math. Soc. 13 (2000), 149-209
  abstract and PDF © 1999 American Mathematical Society
  
  
• Algebras and modules in monoidal model categories
  with S. Schwede, Proc. London Math. Soc. 80 (2000), 491-511
  abstract and PDF © 2000 London Mathematical Society
  

• Symmetric spectra and topological Hochschild homology
  K-theory 19(2) (2000), 155-183
  abstract and PDF © 2000 Kluwer Academic Publishers
  See correction in: Topological Hochschild homology and the cyclic bar construction in symmetric spectra by Irakli Patchkoria and Steffen Sagave, arXiv:1508.03129, to appear in Proceedings of the AMS

• Convergence of the homology spectral sequence of a cosimplicial space (PDF)
  Amer. J. of Math. 118 (1996), 179-207
  abstract © 1996 The Johns Hopkins University Press
  
  
• Pro-isomorphisms of homology towers
  Mathematische Zeitschrift 220 (1995), 257-271
  abstract © 1995 Springer Berlin
   

   
   

  One of my favorite things: