# An Huang

Degrees

University of California, Berkeley, Ph.D.Expertise

Algebraic Geometry, Mathematical Physics, Graph TheoryProfile

Algebraic geometry: D-modules, period integrals, zeta functions, mirror symmetry, Hodge theory, and their interconnections.Mathematical physics: p-adic string theory, p-adic general relativity.

Graph theory: graph Laplacian, graph homotopy and homology, PDE on graphs.

Courses Taught

MATH | 23b | Introduction to Proofs |

MATH | 28b | Introduction to Rings and Fields |

MATH | 100a | Introduction to Algebra, Part I |

MATH | 100b | Introduction to Algebra, Part II |

MATH | 131b | Algebra II |

MATH | 202b | Algebraic Geometry II |

MATH | 223a | Lie Algebras: Representation Theory |

Awards and Honors

Brandeis Provost Research Grant, Physics from the primes (2018 - 2019)

ICCM (International Consortium of Chinese Mathematicians) best paper award, Silver award (with Bong Lian and Xinwen Zhu) (2017)

Scholarship

Hod, Rani, Huang, An, Kempton, Mark, Yau, S.-T.. "Strong embeddings and 2-isomorphism." __Notices of the International Congress of Chinese Mathematicians__ 4. 2 (2017): 1-10. (forthcoming)

Bai, Shu-Liang; Huang, An; Lu, Lin-Yuan; Yau, Shing-Tung. "On the Sum of Ricci-Curvatures for Weighted Graphs." __arXiv:2001.01776__ (2020).

Huang, An; Lian, Bong; Yau, Shing-Tung, Yu, Cheng-Long. "Jacobian rings for homogeneous vector bundles and applications." __Math. Res. Lett__ (2020).

Huang, An; Lin,Yong; Yau, Shing-Tung. "Existence of solutions to mean field equations on graphs." __Comm. Math. Phys.__ (2020): 1-9.

Huang, An; Mao, Ella; Stoica, Bogdan. "From p-adic to Archimedean Physics: Renormalization Group Flow and Berkovich Spaces." __arXiv:2001.01725__ (2020).

Huang, An; Stoica, Bogdan; Yau, Shing-Tung; Zhong, Xiao. "Green's Functions for Vladimirov Derivatives and Tate's Thesis." __arXiv:2001.01721__ (2020).

Huang, An; Lin, Yong; Yau, Shing-Tung. "Existence of Solutions to Mean Field Equations on Graphs." __arXiv:1903.07891__ (2019).

Huang, An; Stoica, Bogdan; Yau, Shing-Tung. "General relativity from p-adic strings." __arXiv:1901.02013__ (2019).

Chen, Jingyue, Huang, An, Lian, Bong, Yau, Shing-Tung. "Differential zeros of period integrals and generalized hypergeometric functions." __Communications in Number Theory and Physics__ 12. 4 (2018).

Huang, An, Lian, Bong, Yau, Shing-Tung, Yu, Cheng-Long. "Hasse-Witt matrices, unit roots and period integrals." __arXiv:1801.01189__ (2018).

Huang, An, Lian, Bong, Yau, Shing-Tung, Yu, Cheng-Long. "Jacobian rings for homoge- neous vector bundles and applications." __arXiv:1801.08261__ (2018).

Huang, An, Lian, Bong, Yau, Shing-Tung, Yu, Cheng-Long. "Period integrals of local complete intersections and tautological systems." __arXiv:1801.01194__ (2018).

Huang, An, Lian, Bong, Yau, S.-T., Zhu, X.-W.. "Chain integrals solutions to tautological system." __Mathematical Research Letters__ 23. 6 (2017): 1721-1736.

Huang, An, Lian, Bong, Zhu, Xinwen. "Period Integrals and the Riemann-Hilbert Correspondence." __Journal of Differential Geometry__ 104. 2 (2016): 325 - 369.