Davis, Michael

Office:MW 616 (Columbus)
Phone:614-292-4886 (Columbus)
Email:
Website:http://www.math.ohio-state.edu/~mdavis
OSU ID:davis.12
Online Preprints:Link
Research Areas:Topology
geometric group theory, aspherical manifolds and spaces, nonpositive curvature
Teaching:View Teaching Schedule

Office Hours
By appointment

Selected Publications

  1. Multiaxial Actions on Manifolds, Springer Lecture Notes 643, Springer-Verlag, Berlin and New York, 1978.
  2. Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. 117, (1983), 293-324.
  3. Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62, (1991), 417-451 (with T. Januszkiewicz).
  4. The cohomology of a Coxeter group with group ring coefficients, Duke Math. J. 91 (1998), 297-313, "Correction", 95(1998), 635.
  5. When is a Coxeter system determined by its Coxeter group?, J. London Math. Soc. 61 (2000), 441-461 (with R. Charney).
  6. Weighted L2-cohomogy of Coxeter groups, Geometry & Topology 11 (2007), 47--138 (with J. Dymara, T. Januszkiewicz and B. Okun).
  7. The Geometry and Topology of Coxeter Groups, London Math. Soc. Monograph Series Vol. 32, Princeton Univ. Press, Princeton, 2007.