Address: College of Mathematical ScienceTianjin Normal University Tianjin 300387 P. R. China Email: zhang (at) tjnu.edu.cn Email: zhangbiaomath (at) gmail.com 
I am currently a visiting scholar at the University of Pennsylvania working with James Haglund from August 2018 to August 2019. I received my Ph.D. in June 2015 from Nankai University under the guidance of Arthur L.B. Yang. I study algebraic and enumerative combinatroics.
Research interests
Geometry of polynomials
Symmetric functions
Preprints
Distributions of several infinite families of mesh patterns (with Sergey Kitaev, Xutong Zhang) [arXiv]
The KazhdanLusztig polynomials of uniform matroids (with Alice L.L. Gao, Linyuan Lu, Matthew H.Y. Xie, Arthur L.B. Yang) [arXiv]
Descent generating polynomials and the HermiteBiehler theorem (with Arthur L.B. Yang) [pdf]
Publications

You may look up my papers on arXiv, Google Scholar, and MathSciNet.
Equivariant KazhdanLusztig polynomials of thagomizer matroids (with Matthew H.Y. Xie)
Proc. Amer. Math. Soc., to appear. [arXiv] [webpage]Interlacing polynomials and the Veronese construction for rational formal power series
Proc. Roy. Soc. Edinburgh Sect. A, to appear. [arXiv] [webpage]Distributions of mesh patterns of short lengths (with Sergey Kitaev)
Adv. in Appl. Math., 110 (2019), 132. [arXiv] [webpage]
Realrootedness of variations of Eulerian polynomials (with James Haglund)
Adv. in Appl. Math., 109 (2019), 3854. [arXiv] [webpage]On the realrootedness of the local hpolynomials of edgewise subdivisions of simplexes
Electron. J. Combin., 26 (1) (2019), #P1.52 [arXiv] [webpage]Multivariate stable Eulerian polynomials on segmented permutations (with Xutong Zhang)
European J. Combin., 78 (2019), 155162. [arXiv] [webpage]On a greedy algorithm to construct universal cycles for permutations (with Alice L.L. Gao, Sergey Kitaev, Wolfgang Steiner)
Int. J. Found. Comput. Sci., 30 (1) (2019), 6172. [arXiv] [webpage]Determinants and characteristic polynomials of Lie algebras (with Zhiguang Hu)
Linear Algebra Appl., 563 (2019), 426439. [webpage]The local hpolynomials of cluster subdivisions have only real zeros
Bull. Austral. Math. Soc., 98 (2) (2018), 258264. [arXiv] [webpage]The realrootedness of generalized Narayana polynomials (with Herman Z.Q. Chen, Arthur L.B. Yang)
Rocky Mountain J. Math., 48 (1) (2018), 107119. [arXiv] [webpage]The Wiener index of Sierpinskilike graphs (with Chunmei Luo, Liancui Zuo)
J. Comb. Optim., 35 (3) (2018), 814841. [webpage]Kirillov's unimodality conjecture for the rectangular Narayana polynomials (with Herman Z.Q. Chen, Arthur L.B. Yang)
Electron. J. Combin., 25 (1) (2018), #P1.17. [arXiv] [webpage]On pattern avoiding indecomposable permutations (with Alice L.L. Gao, Sergey Kitaev)
Integers, 18 (2018), A2. [arXiv] [pdf]On 132representable graphs (with Alice L.L. Gao, Sergey Kitaev)
Australas. J. Combin., 69 (1) (2017), 105118. [arXiv] [pdf]Brenti's open problem on the realrootedness of qEulerian polynomials of type D (with Arthur L.B. Yang)
SIAM J. Discrete Math., 31 (2) (2017), 918926. [pdf] [webpage]Avoiding vincular patterns on alternating words (with Alice L.L. Gao, Sergey Kitaev)
Discrete Math., 339 (8) (2016), 20792093. [arXiv] [webpage]Patternavoiding alternating words (with Alice L.L. Gao, Sergey Kitaev)
Discrete Appl. Math., 207 (2016), 5666. [arXiv] [webpage]On the realrootedness of the descent polynomials of (n2)stack sortable permutations
Electron. J. Combin., 22 (4) (2015), #P4.12. [arXiv] [webpage]The realrootedness of Eulerian polynomials via the HermiteBiehler theorem (with Arthur L.B. Yang)
DMTCS Proceedings, FPSAC 15 (2015), 465474. [arXiv] [pdf]Derivation of the realrootedness of coordinate polynomials from the HermiteBiehler theorem (with Matthew H.Y. Xie)
Acta Math. Hungar., 143 (1) (2014), 185191. [pdf] [webpage]