Igor Belegradek
Olga Taussky-John Todd Instructor of Mathematics

I have moved to Georgia Tech, see www.math.gatech.edu/~ib.
 

Honors Diploma in Mathematics (M.S.), Novosibirsk State University, 1991
Ph.D. in Mathematics, University of Maryland, College Park, 1998

Research Interests

Publications/Preprints (most of which can be downloaded here)

1. (with G. Wei) Metrics of positive Ricci curvature on bundles, 2001, submitted, 15 pp.
2. Nonnegative curvature, symmetry, and fundamental group, 2003, submitted,  14pp.
3. Vector bundles with infinitely many souls,  Proceedings of the AMS, 131 (2003), no. 7, 2217-2221.
4. On co-Hopfian nilpotent groups, 2003, to appear in  Bull. London. Math. Soc.,  7 pp.
5. Pinching surface groups in complex hyperbolic plane, 2001, to appear in  Geom. Dedicata, 10 pp. 
6. (with G. Wei) Metrics of positive Ricci curvature on vector bundles over nimanifolds, Geom. Funct. Anal., 12 (2002), no. 7,  56-72.
7. (with V. Kapovitch) Obstructions to nonnegative curvature and rational homotopy theory,  J. Amer. Math. Soc., 16 (2003), no. 7,  259-284.
8. (with V. Kapovitch) Finiteness theorems for nonnegatively curved vector bundles,  Duke Mathematical Journal, 108 (2001), 109-134.
9. (with V. Kapovitch) Topological obstructions to nonnegative curvature, Mathematische Annalen, 320 (2001), 167-190.
10. Pinching, Pontrjagin classes, and negatively curved vector bundles, Inventiones Mathematica, 144 (2001), 353-379.
11. On Mostow Rigidity for variable negative curvature, Topology, 41 (2002), no.2, 341-361.
12. Lipschitz precompactness for closed negatively curved manifolds, Proceedings of the AMS, 127 (1999), 1201-1208.
13. Counting open negatively curved manifolds up to tangential homotopy equivalence, Journal of  Differential Geometry, 50 (1998), 59-88.
14. Intersections in hyperbolic manifolds, Geometry and Topology, 2 (1998), 117-144.
15. Some curious Kleinian groups and hyperbolic 5-manifolds, Transformation Groups, 2 (1997), no. 1, 3-29.
16. Conformally flat Seifert manifolds, Siberian Advances in Mathematics, 3 (1993), no. 1, 1-18.

Courses Taught

• Spring 2002-03: Ma 191i - Topology and Geometry of Characteristic Classes
• Fall 2002-03: Ma 151a - Topology and Geometry

• Fall 2001-02:
• Ma 109a - Introduction to Geometry and Topology
• Ma 151a - Topology and Geometry
• Winter 2001-02:  Ma 109b - Introduction to Geometry and Topology

Contact Information

Click here to get a listing of I. Belegradek's papers from the AMS MathSciNet with links to Mathematical Reviews.
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