Publications

Theses

• Polynominvarianten der Knotentheorie (in German)
  (Diploma thesis, FU Berlin, 1994)
• Cohomology algebras of subspace arrangements and of classical configuration spaces
  (Ph.D. thesis, TU Berlin, 1997)
• Combinatorial Stratifications - Instances of Impact in Geometry and Topology
  (Habilitationsschrift, TU Berlin, 2003)

Research articles

• On cohomology algebras of complex subspace arrangements
  (joint work with Günter M. Ziegler ), Trans. Amer. Math. Soc. 352 (2000), 3523--3555.
• The integral cohomology algebras of ordered configuration spaces of spheres
  (joint work with Günter M. Ziegler ), Documenta Mathematica 5 (2000), 115-139.
• Subspace arrangements of type D (joint work with Dmitry N. Kozlov ),
  Discr. Math. 210 (2000), special issue on the occasion of FPSAC'96, 27-54.
• On orbit configuration spaces of spheres (joint work with Günter M. Ziegler ),
  Topology and its Applications 118 (2002), 85-102.
• Rational versus real cohomology algebras of low-dimensional toric varieties
  Proc. Amer. Math. Soc. 131 (2003), 1695-1704.
• Abelianizing the real permutation action via blowups (joint work with Dmitry N. Kozlov),
  Int. Math. Res. Not. 2003, no. 32 (2003), 1755-1784.
• Incidence combinatorics of resolutions (joint work with Dmitry N. Kozlov),
  Selecta Math. (N.S.) 10 (2004), 37-60.
• Chow rings of toric varieties defined by atomic lattices (joint work with Sergey Yuzvinsky),
  Invent. Math. 155 (2004), 515-536.
• On the topology of nested set complexes (joint work with Irene Müller),
  Proc. Amer. Math. Soc. 133 (2005), 999-1006.
• A desingularization of real differentiable actions of finite groups
  (joint work with Dmitry N. Kozlov), Int. Math. Res. Not. 2005, no. 15 (2005), 881-898.
• Formality of the complements of subspace arrangements with geometric lattices
  (joint work with Sergey Yuzvinsky),
  Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 326 (2005), 235-247.
• Matroid polytopes, nested sets and Bergman fans
  (joint work with Bernd Sturmfels ),
  Port. Math. (N.S.) 62 (2005), 437-468.
• Complexes of trees and nested set complexes
  Pacific J. Math. 227 (2006), 271-286.



• Tropical discriminants
  (joint work with Alicia Dickenstein and Bernd Sturmfels ),
  J. Amer. Math. Soc., to appear.

Survey article

• De Concini-Procesi arrangement models - a discrete geometer's point of view
  in: Combinatorial and Computational Geometry, J.E. Goodman, J. Pach, E. Welzl, eds;
  MSRI Publications 52, Cambridge University Press, 2005, pp. 333-360.