Research

• algebraic K-theory (including Waldhausen K-theory and pseudoisotopy theory)
• geometric group theory
• low dimensional topology, gauge theory and moduli spaces
• representation theory
• surgery theory of manifolds

Selected Publications:

• A. Nicas and D. Rosenthal, Finite Z/2Z-CW complexes which are not homotopically stratified by orbit type, Proc. Amer. Math. Soc. 137 (2009), 381-384. Download.
• A. Nicas and D. Rosenthal, Hochschild homology relative to a family of groups, Algebr. Geom. Topol. 8 (2008), 693-728. Download.
• P. Fernandes and A. Nicas, Classification of di-embeddings of the n-cube into Rⁿ, Homology, Homotopy Appl. 9 (2007), 213-220. Download.
• A. Nicas, Combinatorial identities in the theory of SU(n) Casson invariants of knots, Pure and Applied Mathematics Quarterly, 2 (2006), 795-816.
• A. Nicas, Trace and duality in symmetric monoidal categories, K-Theory 35 (2005), 273-339.
• R. Geoghegan, A. Nicas and D. Schütz, Obstructions to homotopy invariance in parametrized fixed point theory, Geometry and topology: Aarhus (1998), 157-175, Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000.
  
• H. Boden and A. Nicas, Universal Formulae for SU(n) Casson Invariants of Knots, Trans. Amer. Math. Soc. 352 (2000), 3149-3187.
• R. Geoghegan and A. Nicas, Fixed point theory and the K-theoretic trace, "Nielsen Theory and Reidemeister Torsion", Jerzy Jezierski ed., Banach Center Publications, Warsaw, 1999, pp. 137-149.
• R. Geoghegan and A. Nicas, A Hochschild homology Euler characteristic for circle actions, K-Theory 18 (1999), 99-135.
• R. Geoghegan and A. Nicas, Homotopy periodicity and coherence, Proc. Amer. Math. Soc. 124 (1996), 2889-2895.
• R. Geoghegan, A. Nicas and J. Oprea, Higher Lefschetz traces and spherical Euler characteristics, Trans. Amer. Math. Soc. 348 (1996), 2039-2962.
• R. Geoghegan and A. Nicas, Higher Euler characteristics (I), L'Enseignement Mathématique 41 (1995), 3-62.
• R. Geoghegan and A. Nicas, Trace and torsion in the theory of flows, Topology 33 (1994), 683-719.
• R. Geoghegan and A. Nicas, Parametrized Lefschetz-Nielsen fixed point theory and Hochschild homology traces, Amer. J. Math. 116 (1994), 397-446.
• C. Frohman and A. Nicas, An intersection homology invariant for knots in a rational homology 3-sphere, Topology 33 (1994), 123-158.

Research Collaborators

• Hans Boden, McMaster University
• Steven Boyer, Université du Québec à Montréal.
• Charlie Frohman, University of Iowa.
• Ross Geoghegan, Binghamton University.
• John Oprea, Cleveland State University.
• David Rosenthal, St. John's University.
• Chris Stark, NSF.

Return to:

• Home Page of Andrew J. Nicas
• McMaster University Mathematics and Statistics Department Home Page
• McMaster University Home Page