PhD, University of Notre Dame

Homotopy Theory

• K1 of twisted rings of polynomials. Download pdf. K-Theory 16:29-34, 1999.
• Recognition principle for generalized Eilenberg-Mac Lane Spaces. Progress in Mathematics 196:21–26, Birkhauser 2001.
• Algebraic theories in homotopy theory. Annals of Mathematics 155(3):895-913, 2002.
• From Γ-spaces to algebraic theories. Transactions of the AMS 357(5):1779-1799, 2005.
  
• (w. M. Feshbach) A note on localizations of perfect groups. Proceedings of the AMS 133(5):693-697, 2005.
  
• (w. K. Chung and A. Voronov) The canonical delooping machine. Download pdf. Journal of Pure and Applied Algebra 208(2):531-540, 2007.
  
• (w. W. Dorabiala) Additivity for the parametrized topological Euler characteristic and Reidemeister torsion. K-Theory 38(1):1–22, 2007.
  
• (with W. Dorabiala and B. Williams) Smooth parametrized torsion, a manifold approach. Advances in Mathematics 221(2):660-680, 2009.
  
• (with W. Dorabiala) A note on localizations of mapping spaces. Israel Journal of Mathematics 177, 2010.
  
• (with W. Dorabiala, J. Klein, and B. Williams) Equivalence of higher torsion invariants. Advances in Mathematics 226(3):2192-2232, 2011.