Papers and Preprints:
- A metric characterization of spherical and Euclidean
buildings. Geometry and Topology, Vol.5 (2001),521-550
(with Ruth Charney)
- On the geometry of subsets of positive reach.
Manuscripta Math., Vol.115 (2004), 199-205
- Differentiation in metric spaces.
Algebra i Analiz, Vol.16 (2004), 128-161
- Open map theorem in metric spaces.
Algebra i Analiz, Vol.17 (2005), 139-159
- Almost convex subsets.
Geom. Dedicata, Vol.115 (2005), 201-218
- Centers of convex subsets of buildings.
Ann. Global Anal. Geom., Vol.28 (2005), 201-209
(with Andreas Balser)
- Rigidity of spherical buildings and joins.
Geom. Funct. Anal., Vol.15 (2005), 720-752
- On Hoelder continuous Riemannian
and Finsler metrics. Trans. Amer. Math. Soc., Vol. 358 (2006), 2917-2926
(with Asli Yaman)
- Building-like spaces.
J. Math. Kyoto Univ., Vol. 46 (2006), 789-805 (with Andreas Balser)
- Affine functions on $CAT(\kappa )$ spaces.
Math. Z., Vol. 255 (2007), 231-244 (with Viktor Schroeder)
- Spaces with many affine functions
Proc. Amer. Math. Soc., Vol. 135 (2007), 2263-2271
(with P. Hitzelberger)
- Variationally complete actions on nonnegatively
curved manifolds. Illinois J. Math., Vol.51 (2007), 605-615
(with G. Thorbergsson)
- Tangent spaces and Gromov-Hausdorff limits
of subanalytic spaces. J. Reine Angew. Math., Vol. 608 (2007),
1-15 (with Andreas Bernig)
- Non-positive curvature and the
Ptolemy inequality. Int. Math. Res. Not., no. 22 (2007), Art. ID rnm100
(with Thomas Foertsch and Viktor Schroeder)
- The de Rham decomposition theorem for metric spaces.
Geom. Funct. Anal., Vol. 18 (2008), 120-143 (with Thomas Foertsch)
- Notes on the Jacobi equation.
Differential Geom. Appl., Vol. 27 (2009), 329-334
- Singular Riemannian foliations on spaces without
conjugate points.
Proceedings of VIII International Colloquium on Differential
Geometry (2009), 75-82
- Curvature explosion in quotients and applications.
J. Differential Geom. 85 (2010), 117-140
(with Gudlaugur Thorbergsson)
- Geometric resolution of singular Riemannian
foliations. To appear in Geom. Dedicata
- At infinity of finite-dimensional $CAT(0)$ spaces.
Math. Ann., Vol. 346 (2010), 1-21 (with Pierre-Emmanuel Caprace)
- Struktur der Submetrien.
(Part of the Ph.D. thesis)