|Office Location:||221 Physics Bldg|
|Office Phone:||(919) 660-2877|
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 algebraic geometry arising from any kind of dualities in string theory.