Stephan Stolz

Professor, Rev. John A. Zahm

Education

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

Research Groups

Differential Geometry, Topology

Research Area

Geometric and Algebraic Topology; Differential Geometry

Bio

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.