Contents

• Papers
• Math 457 Info
• Links

Currently I'm an associate professor in the math department at the University of Oregon.

Research interests: Algebraic topology, K-theory, commutative algebra.

Here's a Curriculum Vita.

Research Papers

Click for abstracts and dvi files.

• Large annihilators in Cayley-Dickson algebras II, joint with D. Biss, J. D. Christensen, and D. Isaksen. Preprint, 2007.
• Classification spaces of maps in model categories. Preprint, 2006.
• Etale homotopy theory and sums-of-squares formulas , joint with D. Isaksen. To appear in Math. Proc. Cambridge Philos. Society.
• Postnikov extensions of ring spectral, joint with B. Shipley. Algebr. Geom. Top. 6 (2006), 1785-1829.
• Topological equivalence for differential graded algebras, joint with B. Shipley. Adv. in Math. 212, no. 1 (2007), 37-61.
• Enriched model categories and an application to homotopy endomorphism spectra, joint with B. Shipley. To appear in Theory and Application of Categories.
• Large annihilators in Cayley-Dickson algebras, joint with D. Biss and D. Isaksen. To appear in Communications in Algebra.
• Spectral enrichments of model categories. Homology, Homotopy, Appl. 8 (2006), no. 1, 1-30.
• Algebraic K-theory and sums-of-squares formulas, Documenta Math. 10 (2005), 357-366.
• Motivic cell structures, joint with D. Isaksen. Algebr. Geom. Top. 5 (2005), 615-652.
• The Hopf condition for bilinear forms over arbitrary fields, joint with D. Isaksen. To appear in Annals Math.
• An Atiyah-Hirzebruch spectral sequence for KR-theory. K-theory 35 (2005), no. 3-4, 213-256.
• K-theory and derived equivalences, joint with B. Shipley. Last modified June 1, 2003. To appear in Duke. J. Math.
• Hypercovers and simplicial presheaves, joint with S. Hollander and D. Isaksen. Last modified June 19, 2003. To appear in Math. Proc. Camb. Phil. Soc.
• Weak equivalences of simplicial presheaves, joint with D. Isaksen. To appear in the Proceedings of the Northwestern University Algebraic Topology Conference. Last modified February, 2003.
• Topological hypercovers and A^1-realizations, joint with D. Isaksen. To appear in Math. Zeit. Last modified October, 2003.
• Universal homotopy theories. Adv. Math. 164 (2001), no. 1, 144-176.
• Combinatorial Model Categories Have Presentations. Adv. Math. 164 (2001), no. 1, 177-201.
• Replacing Model Categories with Simplicial Ones, Trans. Amer. Math. Soc. vol. 353 (2001), #12, 5003-5027.
• Betti Numbers of Complete Intersections, Ill. J. Math. vol 44, #3 (2000).

Short Notes and Expository Papers

• Notes on the Milnor conjecture, (2003).
• Notes on Delta-generated spaces, (2003).
• Multiplicative structures on homotopy spectral sequences I, II. Preprint, 2003.
• The Zariski and Nisnevich descent theorems. Preprint, 2001.
• The Polar Form of the Gradient. 1999.
• Sheaves and Homotopy Theory. Abandoned draft, not to be taken too seriously (but still pleasant reading), 1999.

Links Which Are Useful To Me

• K-theory archive.
• Hopf topology archive.
• XXX archive via UC Davis.

• MIT math department.
• Other math departments in the world, care of Penn State.
• Mathsci.
• AMS home page.

Some Pictures

Mt. Washington

Mt. Jefferson, with Three-Fingered Jack in the foreground and Mt. Hood in the distance.

The Three Sisters

You can email me: ddugger@math.uoregon.edu
Back to the math department's home page.

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