Philip B. Zhang (张彪)



Address:

College of Mathematical Science
Tianjin Normal University
Tianjin 300387
P. R. China

Email: zhang (at) tjnu.edu.cn

Email: zhangbiaomath (at) gmail.com

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

Preprints

  1. Chromatic nonsymmetric polynomials of Dyck graphs are slide-positive (with Vasu Tewari, Andy Wilson) [arXiv]

  2. Distributions of several infinite families of mesh patterns (with Sergey Kitaev, Xutong Zhang) [arXiv]

  3. The Kazhdan-Lusztig polynomials of uniform matroids (with Alice L.L. Gao, Linyuan Lu, Matthew H.Y. Xie, Arthur L.B. Yang) [arXiv]

  4. Descent generating polynomials and the Hermite-Biehler theorem (with Arthur L.B. Yang) [pdf]

Publications

    You may look up my papers on arXiv, Google Scholar, and MathSciNet.
  1. Interlacing polynomials and the Veronese construction for rational formal power series
    Proc. Roy. Soc. Edinburgh Sect. A, to appear. [arXiv] [pdf] [webpage]

  2. Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids (with Matthew H.Y. Xie)
    Proc. Amer. Math. Soc., 147 (2019), 4687-4695. [arXiv] [pdf] [webpage]

  3. Distributions of mesh patterns of short lengths (with Sergey Kitaev)
    Adv. in Appl. Math., 110 (2019), 1-32. [arXiv] [pdf] [webpage]

  4. Real-rootedness of variations of Eulerian polynomials (with James Haglund)
    Adv. in Appl. Math., 109 (2019), 38-54. [arXiv] [pdf] [webpage]

  5. On the real-rootedness of the local h-polynomials of edgewise subdivisions of simplexes
    Electron. J. Combin., 26 (1) (2019), #P1.52 [arXiv] [pdf] [webpage]

  6. Multivariate stable Eulerian polynomials on segmented permutations (with Xutong Zhang)
    European J. Combin., 78 (2019), 155-162. [arXiv] [pdf] [webpage]

  7. 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), 61-72. [arXiv] [pdf] [webpage]

  8. Determinants and characteristic polynomials of Lie algebras (with Zhiguang Hu)
    Linear Algebra Appl., 563 (2019), 426-439. [webpage]

  9. The local h-polynomials of cluster subdivisions have only real zeros
    Bull. Austral. Math. Soc., 98 (2) (2018), 258-264. [arXiv] [pdf] [webpage]

  10. The real-rootedness of generalized Narayana polynomials (with Herman Z.Q. Chen, Arthur L.B. Yang)
    Rocky Mountain J. Math., 48 (1) (2018), 107-119. [arXiv] [pdf] [webpage]

  11. The Wiener index of Sierpinski-like graphs (with Chunmei Luo, Liancui Zuo)
    J. Comb. Optim., 35 (3) (2018), 814-841. [webpage]

  12. 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] [pdf] [webpage]

  13. On pattern avoiding indecomposable permutations (with Alice L.L. Gao, Sergey Kitaev)
    Integers, 18 (2018), A2. [arXiv] [pdf] [webpage]

  14. On 132-representable graphs (with Alice L.L. Gao, Sergey Kitaev)
    Australas. J. Combin., 69 (1) (2017), 105-118. [arXiv] [pdf] [webpage]

  15. Brenti's open problem on the real-rootedness of q-Eulerian polynomials of type D (with Arthur L.B. Yang)
    SIAM J. Discrete Math., 31 (2) (2017), 918-926. [pdf] [webpage]

  16. Avoiding vincular patterns on alternating words (with Alice L.L. Gao, Sergey Kitaev)
    Discrete Math., 339 (8) (2016), 2079-2093. [arXiv] [pdf] [webpage]

  17. Pattern-avoiding alternating words (with Alice L.L. Gao, Sergey Kitaev)
    Discrete Appl. Math., 207 (2016), 56-66. [arXiv] [pdf] [webpage]

  18. On the real-rootedness of the descent polynomials of (n-2)-stack sortable permutations
    Electron. J. Combin., 22 (4) (2015), #P4.12. [arXiv] [pdf] [webpage]

  19. The real-rootedness of Eulerian polynomials via the Hermite-Biehler theorem (with Arthur L.B. Yang)
    DMTCS Proceedings, FPSAC 15 (2015), 465-474. [arXiv] [pdf] [webpage]

  20. Derivation of the real-rootedness of coordinate polynomials from the Hermite-Biehler theorem (with Matthew H.Y. Xie)
    Acta Math. Hungar., 143 (1) (2014), 185-191. [pdf] [webpage]