Homepage of Kwokwai Chan

Contact

Department of Mathematics
Harvard University
1 Oxford St Cambridge MA 02138
Phone: (617) 495-3628
Email: kwchan@math.harvard.edu

Research Interests

I'm interested in Symplectic Geometry, Differential Geometry and Complex Algebraic Geometry, with special emphasis on the geometric aspects of Mirror Symmetry.

Curriculum Vitae, Research Statement.

Publications

  1. (with Naichung Conan Leung) Miyaoka-Yau type inequalities for Kähler-Einstein manifolds. Comm. Anal. Geom. 15 (2007), no. 2, 359-379.
  2. (with Naichung Conan Leung) Mirror symmetry for toric Fano manifolds via SYZ transformations. Adv. Math.; In Press, Available online 2 October 2009; DOI:10.1016/j.aim.2009.09.009. arXiv:0801.2830.
  3. (with Naichung Conan Leung) On SYZ mirror transformations. Accepted for publication in Adv. Stud. Pure Math., "New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry". arXiv:0808.1551.
  4. Holomorphic line bundles on projective toric manifolds from Lagrangian sections of their mirrors by SYZ transformations. Int. Math. Res. Not.; Advance Access published on July 11, 2009; DOI:10.1093/imrn/rnp105. arXiv:0903.1164.
  5. The Ooguri-Vafa metric, holomorphic discs and wall-crossing. Preprint 2009. arXiv:0909.3608.
  6. (with Naichung Conan Leung) Matrix factorizations from SYZ transformations. Preprint 2009.