My research focus is in differential geometry and algebraic topology.

Publications

• With T. Chinburg and W. Ziller:   Topological properties of Eschenburg spaces and 3-Sasakian spaces, To appear in Math. Ann.  

• A diffeomorphism classification of generalized Witten manifolds, Geom. Ded. 2005, no. 115, 79 -- 120.
  
  
• With D. Crowley: A classification of S^3-bundles over S^4, Diff. Geom. and its Appl., 2003, no. 18, 363 -- 380.  
  
  
• With G. Weingart: Orbits of SU(2) - representations and Minimal Isometric Immersions, Math. Ann., 2000, no. 316, 743 -- 769.
  
  
• On inhomogeneous spherical space forms, Diff. Geom. Appl. 1999, Volume 11, 39-53.
  
  
• Rigidity of minimal isometric immersions of spheres into spheres , Geom. Ded. 1998, Volume 73, 275-293.
  
  
• Minimal isometric immersions of inhomogeneous space forms, Trans. Amer. Math. Soc. 1996, Volume 348, Number 9, pp. 3713-3731.

Programs

• Algorithm to check for minimal isometric immersions of inhomogeneous lens spaces into spheres.
  
  
• Algorithm     to solve the linear system used to determine infinitesimal uniqueness of the degree 6 immersion into S^6.