Columbia University
Department of Mathematics
Recent Doctoral Theses

Convex duality in singular control -- optimal consumption choice with
intertemporal substitution and optimal investment in incomplete markets

Helena Kauppila, September 2009 (Advisors: P. Bank and I. Karatzas)

On the mean curvature flow of graphs of symplectomorphisms
of Kähler-Einstein manifolds; application to complex projective spaces

Ivana Medos, May 2009 (Advisor: M.-T. Wang)

Geometry of rational curves on algebraic varieties
Matthew DeLand, May 2009 (Advisor: A.J. de Jong)

Bessel and volatility-stabilized processes
Irina Goia, May 2009 (Advisor: I. Karatzas)

Finite atomic lattices and their relationship to resolutions of monomial ideals
Sonja Mapes, May 2009 (Advisor: D. Bayer)

Remarks on some non-linear heat flows in Kähler geometry
Donovan McFeron, May 2009 (Advisor: D. Phong)

On Λ-adic Saito-Kurokawa lifting and its application
Zhi Li, May 2009 (Advisor: E. Urban)

Probability on graphs and groups: theory and applications
Natalia Mosina, May 2009 (Advisor: I. Karatzas)

Splice diagrams. Singularity links and universal abelian covers
Helge Møller Pedersen, May 2009 (Advisor: W. Neumann)

The Hilbert-Chow morphism and the incidence divisor
Joseph Ari Ross, May 2009 (Advisor: A.J. de Jong)

Modularity of generating functions of special cycles on Shimura varieties
Wei Zhang, May 2009 (Advisor: S. Zhang)