An Huang

Assistant Professor of Mathematics

Departments/Programs

Mathematics

Degrees

University of California, Berkeley, Ph.D.

Expertise

Algebraic Geometry, Mathematical Physics, Graph Theory

Profile

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	131b	Algebra II
MATH	202b	Algebraic Geometry II
MATH	223a	Lie Algebras

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)

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.