Stephan A. Stolz

Rev. John A. Zahm Professor of Mathematics

Vardiplom, University of Bielefeld, 1975
Diplom, University of Bonn, 1979
Ph.D., Mainz University, 1984

Research Interests

Geometric and algebraic topology; differential geometry.

Selected Publications

• M. Kreck and S. Stolz. Some homeomorphic but not diffeomorphic homogeneous 7-manifolds with positive sectional curvature. J. of Diff. Geometry, 33:465-486, 1991.
• S. Stolz. Simply connected manifolds of positive scalar curvature. Annals of Math., 136:511-540, 1992.
• Jonathan Rosenberg and S. Stolz. Manifolds of positive scalar curvature. In G.E. Carlsson, R.L. Cohen, W.-C. Hsiang, and J.D.S. Jones, editors, Algebraic topology and its applications, volume 27 of MSRI publications, pages 241-267. Springer-Verlag, 1994.
• M. Kreck and S. Stolz. H P ²-bundles and elliptic homology. Acta Mathematica, 171:231-261, 1993.
• S. Stolz. Splitting certain MSpin-module spectra. Topology, 33:159-180, 1994.
• M. Kreck and S. Stolz. Non-connected moduli spaces of positive sectional curvature metrics. Jour. of Amer. Math. Soc., 6:825-850, 1993.
• K. Ono and S. Stolz. An analouge of Edmond's theorem for loop spaces. preprint, 1993.
• Jonathan Rosenberg and S. Stolz. A stable version of the Gromov-Lawson conjecture. Cont. Math., to appear.
• W. G. Dwyer, S. Stolz, and L. R. Taylor. On the dimension of infinite covers. Proc. of the A.M.S., to appear.
• S. Stolz. Positive scalar curvature metrics - existence and classification questions. in Proceedings of the ICM, Zürich, 1994, to appear.
• S. Stolz. A conjecture concerning positive Ricci curvature and the Witten genus. preprint, 1994.
• B. Botvinnik, P. Gilkey, and S. Stolz. The Gromow-Lawson-Rosenberg conjecture for groups with periodic cohomology. preprint, 1994.
  

Please direct questions and comments to: Stephan.A.Stolz.1@nd.edu