Publications

[23] Extending Gromov’s optimal systolic inequality. Journal of Geometry (2023) 114 (2) (with J. Hebda and M. Katz)

[22] Stability of concordance embeddings. Proceedings of the Royal Society of Edinburgh A: Mathematics, First View 1-36 (2023) (with Manuel Krannich and Alexander Kupers)

[21] Scissors congruence in mixed dimensions. In Manifolds, K-theory, and related topics, Proceedings of the conference held in Dubrovnik, Croatia, June 23-27, 2014, Contemporary Mathematics.

[20] An equivariant version of Hatcher’s G/O construction. Journal of Topology (with Kiyoshi Igusa and Christopher Ohrt)

[19] Multiple disjunction for spaces of smooth embeddings. Journal of Topology (2015) 8 (3) 651-674 (with John R. Klein)

[18] The local structure of algebraic K-theory. Springer (2012) (with B. I. Dundas and R. McCarthy)

[17] A stable range description of the space of link maps. Algebraic and Geometric Topology 10 (2010) 1305-1315 (with Brian Munson)

[16] Multiple disjunction for spaces of Poincare embeddings. Journal of Topology  (2008) 1 (4) 761-803 (with John R. Klein)

[15] Calculus III, Taylor series. Geometry and Topology 7 (2003) 645-711

[14] A Haefliger type description of the embedding calculus tower. Topology 42 (2003) 509-524 (with John Klein and Michael Weiss)

[13] Spaces of smooth embeddings, disjunction, and surgery. In Annals of math. Studies 149, Surveys on surgery theory (vol. 2) 2000, ed. A. Ranicki, and J. Rosenberg, 221-283 (with John Klein and Michael Weiss)

[12] A cohomological bound for the h-topology. American J. of Math. 123 (2001), 425-443 (with Stephen Lichtenbaum)

[11] Embeddings from the point of view of immersion theory II. Geometry and Topology 3 (1999), 103–118 (with Michael Weiss)

[10] A remark on the homology of cosimplicial spaces. J. Pure Appl. Algebra 127 (1998) no. 2, 167-175.

[9] On the algebraic K-theory of simply connected spaces. Duke Math. J. 84 (1996) no.3, 541-563 (with Marcel Bokstedt, Gunnar Carlsson, Ralph Cohen, Wu-chung Hsiang, and Ib Madsen)

[8] Calculus II, analytic functors. K-Theory 5 (1991/92) no. 4, 295-332.

[7] The differential calculus of homotopy functors. Proc. International Congress of Mathematicians, vol. 1 (Kyoto, 1990), 621-630, Math. Soc. Japan, Tokyo, 1991.

[6] Calculus I, the first derivative of pseudoisotopy theory. K-Theory 5 (1990) no. 1, 1-27.

[5] A multiple disjunction lemma for smooth concordance embeddings. Memoirs Amer. Math. Soc. 86 (1990), no. 431, 317 pp.

[4] The free loop space and the algebraic K-theory of spaces. K-Theory 1 (1987), no. 1, 53–82. (with Gunnar Carlsson, Ralph Cohen, and Wu-chung Hsiang)

[3] Relative algebraic K-theory and cyclic homology. Annals of Math. (2) 124 (1986), no. 2, 347-402

Correction to [1]. Annals of math. (2) 124 (1986), no. 3, 627-628

[2] Cyclic homology, derivations, and the free loopspace. Topology 24 (1985), no. 2, 187-215

[1] On the general linear group and Hochschild homology. Annals of Math. (2) 121 (1985), no. 2, 383-407

Submitted

On the functoriality of the space of smooth equivariant h-cobordisms. (with K. Igusa, C. Malkievich, and M. Merling)

In preparation

[24] The splitting of the stable space of equivariant h-cobordisms. (with K. Igusa, C. Malkievich, and M. Merling)

[25] Equivariant higher Reidemeister torsion I. (with Kiyoshi Igusa)

[26] Equivariant higher Reidemeister torsion II. (with Kiyoshi Igusa)

[27] Calculus and Assembly. (with Marco Varisco)