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.
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