Publications and Preprints

1. A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007), 2043-2058.
    (math.AT/0406507)

2. Three models for the homotopy theory of homotopy theories, Topology 46 (2007), 397-436.
    (math.AT/0504334)
Longer thesis version (University of Notre Dame, 2005)

3. Rigidification of algebras over multi-sorted theories, Algebr. Geom. Topol. 6 (2006) 1925-1955.
    (math.AT/0508152)

4. Simplicial monoids and Segal categories, Contemp. Math. 431 (2007)  59-83.
and correction
    (math.AT/0508416; math.AT/0806.1767)

5. A characterization of fibrant Segal categories, Proc. Amer. Math. Soc. 135 (2007) 4031-4037.
    (math.AT/0603400)

6. A survey of (∞,1)-categories, to appear in the proceedings of the IMA workshop on n-categories.
    (math.AT/0610239)

7. Adding inverses to diagrams encoding algebraic structures, Homology, Homotopy Appl. 10(2), 2008, 149–174.
    (math.AT/0610291)

8. Complete Segal spaces arising from simplicial categories, Trans. Amer. Math. Soc. 361 (2009), 525-546.
    (math.AT/0704.1624)

9. Adding inverses to diagrams II: Invertible homotopy theories are spaces, Homology, Homotopy Appl. 10(2), 2008, 175–193.
    (math.AT/0710.2254)

10. Homotopy fiber products of homotopy theories

(math.AT/0811.3175)

11. Derived Hall algebras for stable homotopy theories

(math.AT/0910.1861)

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