Igor Belegradek

Igor Belegradek

Associate Professor
School of Mathematics
Georgia Institute of Technology
Office: Skiles 263
Phone: (404) 385-0053
Email: ib at math dot gatech dot edu

Mailing Address:
School of Mathematics
Georgia Tech
Atlanta, GA 30332-0160.


Research Interests:


CV:

(.PDF), (.PS).

Papers (most of which can be found at the arXiv by clicking  here

  • 25. Complex hyperbolic hyperplane complements, 35 pages, 2007
  • 24. Rigidity and relative hyperbolicity of real hyperbolic hyperplane complements, 28 pages, 2007.
  • 23. Degenerations of Riemannian manifolds (expository note containing two articles written for Modern Encyclopedia of Mathematical Physics), 11 pages.
  • 22. (with D. Osin) Rips construction and Kazhdan property (T), Groups, Geom., Dyn. 2 (2008) no. 1, 1-12.
  • 21. (with A. Szczepanski and Oleg. V. Belegradek) Endomorphisms of relatively hyperbolic groups, 11 pages, Internat. J. Algebra Comput. 18 (2008) no. 1, 97-110
  • 20. Aspherical manifolds with relatively hyperbolic fundamental groups, Geom. Dedicata 129 (2007) no. 1, 119-144
  • 19. Aspherical manifolds, relative hyperbolicity, simplicial volume, and assembly maps, Algebr. Geom. Topol. 6 (2006) 1341-1354.
  • 18. (with V. Kapovitch) Classification of negatively pinched manifolds with amenable fundamental groups, Acta Math. 196 (2006), no. 2 , 229-260
  • 17. (with V. Kapovitch) Pinching estimates for negatively curved manifolds with nilpotent fundamental groups, Geom. Funct. Anal. 12 (2005) no. 5, 929-938
  • 16. (with G. Wei) Metrics of positive Ricci curvature on bundles, Int. Math. Res. Not., (2004) no. 57, 3079--3096.
  • 15. Nonnegative curvature, symmetry, and fundamental group, Geom. Dedicata 106 (2004), no. 1, 169--184.
  • 14. On co-Hopfian nilpotent groups, Bull. London Math. Soc.,  7 pp. 35 (2003), no. 6, 805--811.
  • 13. Vector bundles with infinitely many souls,  Proc. Amer. Math. Soc., 131 (2003), no. 7, 2217-2221.
  • 12. Pinching surface groups in complex hyperbolic plane, 97 (2003) Geom. Dedicata, no. 1, 45-54.
  • 11. (with V. Kapovitch) Obstructions to nonnegative curvature and rational homotopy theory,  J. Amer. Math. Soc., 16 (2003), no. 7,  259-284.
  • 10. (with G. Wei) Metrics of positive Ricci curvature on vector bundles over nimanifolds,  Geom. Funct. Anal., 12 (2002), no. 7,  56-72.
  • 9. On Mostow Rigidity for variable negative curvature, Topology, 41 (2002), no.2, 341-361.
  • 8. (with V. Kapovitch) Finiteness theorems for nonnegatively curved vector bundles,  Duke Math. J., 108 (2001), 109-134.
  • 7. (with V. Kapovitch) Topological obstructions to nonnegative curvature, Math. Ann., 320 (2001), 167-190.
  • 6. Pinching, Pontrjagin classes, and negatively curved vector bundles, Invent. Math., 144 (2001), 353-379.
  • 5. Lipschitz precompactness for closed negatively curved manifolds, Proc. Amer. Math. Soc, 127 (1999), 1201-1208.
  • 4. Counting open negatively curved manifolds up to tangential homotopy equivalence, J.  Diff. Geom., 50 (1998), 59-88.
  • 3. Intersections in hyperbolic manifolds, Geometry and Topology, 2 (1998), 117-144.
  • 2. Some curious Kleinian groups and hyperbolic 5-manifolds, Transformation Groups, 2 (1997), no. 1, 3-29.
  • 1. Conformally flat Seifert manifolds, Siberian Advances in Mathematics, 3 (1993), no. 1, 1-18.

  • This page was last modified at 6:42pm on August 4th, 2008.
    Georgia Tech Disclaimer: THIS PAGE IS NOT A PUBLICATION OF THE GEORGIA INSTITUTE OF TECHNOLOGY AND THE GEORGIA INSTITUTE OF TECHNOLOGY HAS NOT EDITED OR EXAMINED THE CONTENT. THE AUTHOR(S) OF THE PAGE ARE SOLELY RESPONSIBLE FOR THE CONTENT.... Thank goodness!