Faculty Guide

Title

Professor of Mathematics

Mathematics

Expertise

Representation theory. Calabi-Yau geometry. String theory.

Awards and Honors

Plenary speaker at the 2013 International Congress of Chinese Mathematicians in Taipei (2012)

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)

Courses Taught

MATH	22a	Linear Algebra and Intermediate Calculus, Part I
MATH	22b	Linear Algebra and Intermediate Calculus, Part II
MATH	23b	Introduction to Proofs
MATH	30b	Introduction to Algebra, Part II
MATH	101b	Algebra II
MATH	110a	Geometric Analysis
MATH	211a	Topics in Differential Geometry and Analysis I
MATH	223a	Lie Algebras
MATH	250a	Complex Algebraic Geometry I

Scholarship

Bloch, S., Huang, A., Lian, B., Srinivas, V., Yau, S.-T.. "On the Holonomic Rank Problem." preprint arXiv:1302.4481v1 (2013).

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

Huang, An, Lian, Bong, Zhu, Xinwen. "Period Integrals and the Riemann-Hilbert Correspondence." preprint arXiv:1303.2560v1. (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.