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.