I study various structures on Calabi-Yau manifolds related to mirror symmetry from the geometric point of view. In particular, this includes homological mirror symmetry, Strominger-Yau-Zaslow conjecture and a link between these two provided by the metric collapse and its algebraization via non-archimedean geometry. More generally, I am interested in geometry arising from any kind of dualities in string theory.
| Diploma | Moscow Institute of Physics and Technology | 1994 | |
| Ph.D. | University of Pennsylvania (Thesis advisor: Ron Donagi ) | 2000 |
Return to: Department of Mathematics * Harvard University
Last modified: 12/10/06