Vitali Kapovitch

Vitali Kapovitch is an Associate Professor of Mathematics in University of Toronto specializing in differential geometry. He received a PhD in Mathematics in 1997 from the University of Maryland under the direction of Karsten Grove.
Publications
*Perelman's Stability Theorem, To be published in Surveys in Comparison Geometry.
*Nilpotency, almost nonnegative curvature and the gradient push, (with A. Petrunin and W. Tuschmann), 2005, to appear in Annals of Mathematics.
*Nonnegative pinching, moduli spaces and bundles with infinitely many souls,(with A. Petrunin and W. Tuschmann), Journal of Diff. Geometry, 71, (2005), no. 3, pp. 365-383.
*Pinching estimates for negatively curved manifolds with nilpotent fundamental groups,(with I. Belegradek), Geom. Funct. Anal. 15, (2005), no. 5, pp. 929-938.
*Curvature bounds via Ricci smoothing, Illinois Journal of Mathematics, 49, (2005) no. 1, pp. 259-263.
*(with I. Belegradek) Classification of negatively pinched manifolds with amenable fundamental groups, Acta Mathematica, Volume 196 (2006), Number 2, pp. 229-260
*Biquotients with singly generated rational cohomology, (with W. Ziller), Geometriae Dedicata, 104 (1): pp. 149-160, 2004
*Restrictions on collapsing with a lower sectional curvature bound, Mathematische Zeitschrift, 249, (2005), no. 3, pp. 519-539
* Regularity of limits of noncollapsing sequences of manifolds, Geom. Funct. Anal. 12 (2002), no. 1, pp. 121-137. (with I. Belegradek)
*Obstructions to nonnegative curvature and rational homotopy theory, Journal of AMS, 16 (2003), pp. 259-284.
*(with I.Belegradek) Finiteness theorems for nonnegatively curved vector bundles, Duke Mathematical Journal, 108 (2001), no. 1, pp. 109-134.
*(with I. Belegradek) Topological obstructions to nonnegative curvature, Math. Ann. 320 (2001), no. 1, pp. 167-190.
*(with L. Guijarro) Restrictions on the geometry at infinity of nonnegatively curved manifolds, Duke Math. J. 78 (1995), no. 2, pp. 257-276.

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