# Bong Lian

Degrees

Yale University, Ph.D.University of Toronto, B.A.

Expertise

Representation theory. Calabi-Yau geometry. String theory.Profile

My research lies at the interface between algebra, geometry, and physics. I study the interplay between representations theory, Calabi-Yau geometry and string theory. Intuitions and insights from one theory can often manifest themselves in a powerful and sometimes surprising ways to help solve problems in another theory. WebpageCourses Taught

MATH | 22a | Linear Algebra and Intermediate Calculus, Part I |

MATH | 22b | Linear Algebra and Intermediate Calculus, Part II |

MATH | 100a | Introduction to Algebra, Part I |

MATH | 101b | Algebra II |

MATH | 211a | Topics in Differential Geometry and Analysis I |

MATH | 250a | Complex Algebraic Geometry I |

Awards and Honors

Chern Prize (ICCM 2013 Taipei) (2013)

Plenary speaker at the 2013 International Congress of Chinese Mathematicians (Taipei) (2013)

President of International Science Foundation of Cambridge (2009)

Guggenheim Fellowship (2004 - 2003)

Sloan Graduate Dissertation Fellowship (1990)

Scientific committee member Asian Mathematics Congress 2005 (1989 - 1990)

Secretary of the Int'l Science Foundation of Cambridge (1988 - 1989)

Scientific committee member of Intl. Congr. of Chinese Mathematicians (1983)

Scholarship

Chen, Jingyue and Lian, Bong. "CY Principle Bundles over Compact Kahler Manifolds." __preprint__ arXiv:1411.2332.. (2015).

J. Chen, A. Huang and B.H. Lian. "Holonomic Systems for Period Mappings." __preprint.__ (2015).

Bloch, S., Huang, A., Lian, B., Srinivas, V., Yau, S.-T.. "On the Holonomic Rank Problem." __J. Diff. Geom. 97 (2014), 11–35.__ (2014).

Huang, An, Lian, Bong, Zhu, Xinwen. "Period Integrals and the Riemann-Hilbert Correspondence." __submitted to Invent. Math.__ (2014).

Bong Lian, Ruifang Song and Shing-Tung Yau. "Period Integrals and Tautological Systems." __Accepted for publication in Journ. EMS__ (2013).

Lian, Bong and Shing-Tung Yau. "Period Integrals of CY and General Type Complete Intersections." __Inventiones Mathematicae__ 191. 1 (2013): 35-89.

Bong Lian, Si Li and Shing-Tung Yau. "Picard-Fuchs Equations for Relative Periods and Abel-Jacobi Map for Calabi-Yau Hypersurfaces." __American Journal of Mathematics__ 134. 5 (2012): 1345-1384.

Bong Lian, Andrew Linshaw, and Bailin Song. "Chiral Equivariant Cohomology of Spheres." __Contemporary Mathematics__ 557. (2011): 41-75.

B. Lian and B. Song. "Convexity and Reduced Delzant Spaces." __Advanced Lectures in Mathematics__ Vol. 13. (2010): 61-96.

Bong Lian and Kefeng Liu. "Localization and Some Recent Applications." __Advanced Lectures in Mathematics__ Vol. 13. (2010): 97-138.

Bong Lian, Andrew Linshaw, and Bailin Song. "Chiral Equivariant Cohomology III." __American Journal of Mathematics__ Vol. 132. No. 6 (2010): 1549-1590.

B. Lian, A. Linshaw and B. Song. "Chiral Equivariant Cohomology II." __Transactions of AMS__ 360 (2008): 4739-4776.

B. Lian and A. Linshaw. "Chiral Equivariant Cohomology I." __Advances in Mathematics__ 209. (2007): 99-161.

B. Lian and B. Song. "Reduced Delzant Spaces and a Convexity Theorem." __Topology__ Vol. 46. No. 6 (2007): 554-576.

B. Lian, A. Todorov and S.-T. Yau. "Maximal Unipotent Monodromy for Complete Intersection." __American Journal of Mathematics__ 127. 1 (2005): 1--50.

B. Lian, S. Hosono, K. Oguiso and S.T. Yau. "Autoequivalences of Derived Category of a K3 Surface and Monodromy Transformations." __Journal of Algebraic Geom.__ 13. 3 (2004): 513--545.

B. Lian, S. Hosono, K. Oguiso and S.T. Yau. "Counting Fourier-Mukai Partners and Applications." __CRM Proc. Lecture Notes__ 38. (2004): 177--192.

B. Lian and S.T. Yau. "The nth Root of the Mirror Map." __Fields Institute Communications__ 38. (2003): 195-199.

B. Lian, S. Hosono, K. Oguiso and S.T. Yau. "c=2 Rational Conformal Field Theories." __Communications in Math. Physics__ 241. (2003): 245-286.

B. Lian, C.H. Liu and S.T. Yau. "A Reconstruction of Euler Data." __Journal of Algebraic Geometry__ 12. (2003): 269-284.

B. Lian, C.H. Liu, and S.T. Yau. "A Reconstruction of Euler Data." __Journal of Algebraic Geometry__ 322. (2003): 165-194.

B. Lian, C.H. Liu, and S.T. Yau. "S^1-fixed points of Quot Schemes and Mirror Principle computations." __Conptemporary Mathematics__ 322. (2003): 165-194.

B. Lian, S. Hosono, K. Oguiso, and S.T. Yau. "Kummer structures on a K3 surface - An old question of T. Shioda." __Duke Math. Journal__ 120. 3 (2003): 635-647.