Office: 315 Goldsmith
Spring 2018: Math 23b, MW 3:30-4:50pm, 300 Goldsmith.
Algebraic Geometry (in relation to physics): period integrals, mirror symmetry, Hodge theory, D-modules, and their interconnections.
Graph Theory: graph embeddings, graph Laplacian, (di)graph homotopy and homology.
Papers and Preprints
A. Huang, B. Lian, S.-T. Yau, and C.-L. Yu, Hasse-Witt matrices, unit roots and period integrals, 2018.
A. Huang, B. Lian, S.-T. Yau, and C.-L. Yu, Jacobian rings for homogeneous vector bundles and applications, 2018.
A. Huang, B. Lian, S.-T. Yau, and C.-L. Yu, Period integrals of local complete intersections and tautological systems, 2018.
J. Chen, A. Huang, and B.H. Lian, Differential Zeros of Certain Special Functions, 2017.
A. Huang, B. Lian, and X. Zhu, Chain integrals solutions to tautological systems, Math. Res. Lett., Vol. 23, No. 6 (2016) 1721-1736.
A. Huang, B. Lian, and X. Zhu, Period Integrals and the Riemann-Hilbert Correspondence, J. Diff. Geom., Vol. 104, No. 2 (2016) 325-369.
R. Hod, A. Huang, M. Kempton, and S.-T. Yau, Strong embeddings and 2-isomorphism, Notices of ICCM, Vol. 4, No. 2 (2016) 5-13.
J. Chen, A. Huang, and B.H. Lian, Holonomic systems for period mappings, Nuc. Phys. B. Vol 898, (2015) 693-706.
A. Huang, S-T. Yau, On cohomology theory of (di)graphs, Homology, Homotopy and App., Vol. 17, No. 2 (2015) 383-398.
A. Huang, S-T. Yau, and Mei-Heng Yueh, Graph invariant from ideas in physics and number theory, 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 (2014) 11-35.
A. Huang, Noncommutative multiplicative norm identities for the quaternions and the octonions, 2011.
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 (2010) 609-622.
A. Huang, On twisted Virasoro operators and number theory, 2009.