# An Huang

**Email address:**
anhuang@brandeis.edu

**Office:** 315 Goldsmith

## Teaching

Fall 2022: math 131a, Algebra I; math 223a, Lie algebras.

## Research Interests

Algebraic Geometry: period integrals, mirror symmetry, Hodge theory, D-modules, zeta functions.
Number theory and physics: p-adic string theory and quantum field theories.
Graph Theory: topology, geometry and analysis on graphs.

## Papers and Preprints

A. Huang, B. Stoica, X. Zhong, Quadratic reciprocity from a family of adelic conformal field theories, 2022.
L. Fu, A. Huang, B. Lian, S.-T. Yau, D. Zhang, X. Zhu, l-adic tautological systems, 2021.
A. Huang, B. Stoica, S.-T. Yau, X. Zhong, Green's Functions for Vladimirov Derivatives and Tate's Thesis, Comm. in Num. Theo. and Phy. Vol. 15, No. 2 (2021).
S. Bai, A. Huang, L. Lu, S.-T. Yau, On the Sum of Ricci-Curvatures for Weighted Graphs, Pure Appl. Math. Q. Volume 17, Number 5, 1599–1617, 2021.
A. Huang, B. Stoica, X. Xia, X. Zhong, Bounds on the Ricci curvature and solutions to the Einstein equations for weighted graphs, 2020.
A. Huang, B. Stoica, S.-T. Yau, General relativity from p-adic strings, to appear in Advances in Theoretical and Mathematical
Physics.
A. Huang, Y. Lin, S.-T. Yau, Existence of solutions to mean field equations on graphs, Commun. Math. Phys. 377, 613-621(2020).
A. Huang, B. Lian, S.-T. Yau, and C.-L. Yu, Hasse-Witt matrices, unit roots and period integrals, to appear in Math. Ann.
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, Math. Res. Let. Vol 28, No. 2 (2021).
A. Huang, B. Lian, S.-T. Yau, and C.-L. Yu, Period integrals and tautological systems, Surveys in Differential Geometry, Volume 22 (2017).
J. Chen, A. Huang, B.H. Lian, and S.-T. Yau, Differential zeros of period integrals and generalized hypergeometric functions, Comm. in Num. Theo. and Phy., Vol. 12, No. 4 (2018) 609-655.
A. Huang, B. Lian, S.-T. Yau, 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.
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.