2010-2013 Postdoctoral Fellow
String Theory & Mathematical Physics
412B Jadwin Hall
My primary research area is string theory. String theory is the most promising candidate for the theory of quantum gravity, which unifies quantum field theory and general relativity into a consistent framework.
I have been working on various aspects of string theory, including (non-)relativistic AdS/CFT correspondence, M2-branes, Heterotic--F theory duality, moduli stabilization, mirror symmetry and quiver gauge theories. I have also done research in neighboring areas, such as phenomenology and mathematics. More recently, we have proposed a new statistical mechanical model of crystal melting which give exact answers to the BPS state counting problem. We also discussed their wall crossing phenomena and clarified its connection with topological string theory. This work also gives new predictions for mathematical invariants called Donaldson-Thomas invariants.
Emergent Calabi-Yau Geometry
H. Ooguri and M. Yamazaki, Phys. Rev. Lett. 102, 161601 (2009).
Crystal Melting and Toric Calabi-Yau Manifolds
M. Yamazaki, Commun. Math. Phys. 292, 179 (2009).
Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
K. Ueda and M. Yamazaki, JHEP 0812, 045 (2008).