Office: 315 Goldsmith
Fall 2016: Math 23b-S1, MWTh 9-9:50am, 317 Goldsmith.
Algebraic Geometry: period integrals, mirror symmetry, Hodge theory, D-modules, and their interconnections.
Graph Theory: graph embeddings and quadratic forms, graph Laplacian, (di)graph homotopy and homology.
Papers and Preprints
A. Huang, B. Lian, and X. Zhu, Chain integrals solutions to tautological system, to appear in Math. Res. Lett, 2015.
J. Chen, A. Huang, and B.H. Lian, Holonomic systems for period mappings, Nuc. Phys. B. Vol 898, 693-706, 2015.
A. Huang, B. Lian, and X. Zhu, Period Integrals and the Riemann-Hilbert Correspondence, to appear in J. Diff. Geom., 2015.
S. Bloch, A. Huang, B.H. Lian, V. Srinivas, and S.-T. Yau, On the Holonomic Rank Problem, J. Diff. Geom. Vol. 97, No. 1, 11-35, 2014.
R. Hod, A. Huang, M. Kempton, and S.-T. Yau, , 2016.
A. Huang, S-T. Yau, On cohomology theory of (di)graphs, to appear in Homology, Homotopy and Applications, 2015.
A. Huang, S-T. Yau, and Mei-Heng Yueh, Graph invariant from ideas in physics and number theory, 2015.
A. Huang, C-H. Lee, A note on Nahm's conjecture in rank 2 case, Comm. in Num. Theo. and Phy., Vol. 4, No. 4, 609-622, 2010.
A. Huang, Noncommutative multiplicative norm identities for the quaternions and the octonions, 2011.
A. Huang, On twisted Virasoro operators and number theory, 2009.