selected scholarly activity
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chapters
- Obstructions to homotopy invariance in parametrized fixed point theory. Contemporary Mathematics. 157-175. 2000
- Lefschetz trace formulae, zeta functions and torsion in dynamics. Contemporary Mathematics. 141-157. 1993
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conferences
- Virtual and welded periods of classical knots. Breadth in contemporary topology, 29--42, Proc. Sympos. Pure Math., 102, Amer. Math. Soc., Providence, RI, 2019. 29-42. 2019
- UNIFORM CIRCUIT PLACEMENT.. 255-273. 1985
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journal articles
- The quasi-hyperbolicity constant of a metric space. Mathematical Inequalities and Applications. 24:1041-1064. 2021
- Finitely $\mathcal{F}$-amenable actions and decomposition complexity of groups. Groups, Geometry, and Dynamics. 14:765-790. 2020
- Regular finite decomposition complexity. Journal of Topology and Analysis. 11:691-719. 2019
- Metric transforms yielding Gromov hyperbolic spaces. Geometriae Dedicata. 200:331-350. 2019
- Alexander invariants of periodic virtual knots. Dissertationes Mathematicae. 530:1-59. 2018
- Alexander invariants of periodic virtual knots. Dissertationes Mathematicae. 530:1-59. 2018
- Hyperbolic Dimension and Decomposition Complexity. TOPOLOGICAL METHODS IN GROUP THEORY. 451:146-167. 2018
- Virtual knot groups and almost classical knots. Fundamenta Mathematicae. 238:101-142. 2017
- Alexander invariants for virtual knots. Journal of Knot Theory and its Ramifications. 24:1550009-1550009. 2015
- The center of the virtual braid group is trivial. Journal of Knot Theory and its Ramifications. 23:1450042-1450042. 2014
- On the asymptotic dimension of the dual group of a locally compact abelian group. Topology and its Applications. 160:682-684. 2013
- Moduli of triangles in the Heisenberg group. Geometriae Dedicata. 161:189-219. 2012
- Coarse structures on groups. Topology and its Applications. 159:3215-3228. 2012
- The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric. Conformal Geometry and Dynamics. 14:269-295. 2010
- The horofunction boundary of the Heisenberg group. Pacific Journal of Mathematics. 242:299-310. 2009
- Finite ${\mathbb Z}/2{\mathbb Z}$-CW complexes which are not homotopically stratified by orbit type. Proceedings of the American Mathematical Society. 137:381-384. 2008
- Hochschild homology relative to a family of groups. Algebraic and Geometric Topology. 8:693-728. 2008
- Classification of di-embeddings of the $n$-cube into $\mathbb{R}^n$. Homology, Homotopy and Applications. 9:213-220. 2007
- Combinatorial Identities in the Theory of SU(n) Casson Invariants of Knots. Pure and Applied Mathematics Quarterly. 2:795-816. 2006
- Trace and Duality in Symmetric Monoidal Categories. K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences. 35:273-339. 2005
- Universal Formulae for SU$(n)$ Casson Invariants of Knots. Transactions of the American Mathematical Society. 352:3149-3187. 2000
- A Hochschild Homology Euler Characteristic for Circle Actions. K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences. 18:99-135. 1999
- Fixed point theory and the K-theoretic trace. Banach Center Publications. 49:137-149. 1999
- Homotopy periodicity and coherence. Proceedings of the American Mathematical Society. 124:2889-2895. 1996
- Higher Lefschetz Traces and Spherical Euler Characteristics. Transactions of the American Mathematical Society. 348:2039-2062. 1996
- Higher Lefschetz traces and spherical Euler characteristics. Transactions of the American Mathematical Society. 348:2039-2062. 1996
- Homotopy periodicity and coherence. Proceedings of the American Mathematical Society. 124:2889-2895. 1996
- Trace and torsion in the theory of flows. Topology. 33:683-719. 1994
- Parameterized Lefschetz-Nielsen Fixed Point Theory and Hochschild Homology Traces. American Journal of Mathematics. 116:397-397. 1994
- An intersection homology invariant for knots in a rational homology 3-sphere. Topology. 33:123-158. 1994
- Classifying pairs of lagrangians in a hermitian vector space. Topology and its Applications. 42:71-81. 1991
- Deformations of groups of gauge transformations. Journal of Functional Analysis. 101:408-441. 1991
- Varieties of Group Representations and Casson's Invariant for Rational Homology 3-Spheres. Transactions of the American Mathematical Society. 322:507-507. 1990
- Varieties of group representations and Casson’s invariant for rational homology 3-spheres. Transactions of the American Mathematical Society. 322:507-522. 1990
- Mixed Hodge structure in cyclic homology and algebraic K-theory, 1. K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences. 1:437-456. 1987
- Frobenius Induction for Higher Whitehead Groups. Canadian Journal of Mathematics. 39:222-238. 1987
- WHITEHEAD-GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS .2.. Annals of Mathematics Studies. 415-431. 1987
- An infinite family of non-Haken hyperbolic 3-manifolds with vanishing Whitehead groups. Mathematical Proceedings of the Cambridge Philosophical Society. 99:239-246. 1986
- K -Theory and Surgery of Codimension-Two Torus Actions on Aspherical Manifolds. Journal of the London Mathematical Society. s2-31:173-183. 1985
- On the Higher Whitehead Groups of a Bieberbach Group. Transactions of the American Mathematical Society. 287:853-853. 1985
- On the higher Whitehead groups of a Bieberbach group. Transactions of the American Mathematical Society. 287:853-853. 1985
- Surgery up to Homotopy Equivalence for Nonpositively Curved Manifolds. Proceedings of the American Mathematical Society. 91:323-323. 1984
- Higher Whitehead Groups of Certain Bundles Over Seifert Manifolds. Proceedings of the American Mathematical Society. 91:1-1. 1984
- Whitehead groups of certain hyperbolic manifolds. Mathematical Proceedings of the Cambridge Philosophical Society. 95:299-308. 1984
- Surgery up to homotopy equivalence for nonpositively curved manifolds. Proceedings of the American Mathematical Society. 91:323-323. 1984
- Higher Whitehead groups of certain bundles over Seifert manifolds. Proceedings of the American Mathematical Society. 91:1-5. 1984
- On Wh2 of a Bieberbach group. Topology. 23:313-321. 1984
- On Wh3 of a Bieberbach group. Mathematical Proceedings of the Cambridge Philosophical Society. 95:55-60. 1984
- INTRODUCTION THEOREMS FOR GROUPS OF HOMOTOPY MANIFOLD STRUCTURES - INTRODUCTION. Memoirs of the American Mathematical Society. 39:1-108. 1982
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preprints