Dr. Peter L. Guo (郭龙)     【中文版】

I am an associate professor at the Center for Combinatorics, Nankai University.

Address:

Center for Combinatorics
Nankai University
Tianjin 300071
P.R. China

Email: lguo@nankai.edu.cn



Research interests

Algebraic combinatorics.


Preprints

  1. with Neil J.Y. Fan and Nicolas Y. Liu
    An Involution on Semistandard Skyline Fillings
    arxiv.org/abs/2010.08156

  2. with Neil J.Y. Fan and Nicolas Y. Liu
    Complements of Schubert Polynomials
    arXiv:2001.03922

  3. with Neil J.Y. Fan
    Set-valued Rothe Tableaux and Grothendieck Polynomials
    arXiv:1908.04164

  4. with Neil J.Y. Fan and Sophie C.C. Sun
    Bumpless Pipedreams, Reduced Word Tableaux and Stanley Symmetric Functions
    arXiv:1810.11916


Publications
  1. with Neil J.Y. Fan
    Upper Bounds of Schubert Polynomials
    Science China Mathematics, to appear.

  2. with Neil J.Y. Fan
    Vertices of Schubitopes
    Journal of Combinatorial Theory, Series A 177 (2021), 105311.

  3. with Neil J.Y. Fan, Simon C.Y. Peng and Sophie C.C. Sun
    Lattice Points in the Newton Polytopes of Key Polynomials
    SIAM Journal on Discrete Mathematics 34 (2020), 1281-1289.

  4. with Neil J.Y. Fan
    A Note on Specializations of Grothendieck Polynomials
    Discrete Mathematics 343 (2020), 111877.

  5. with Sophie C.C. Sun
    Identities on Factorial Grothendieck Polynomials
    Advances in Applied Mathematics 111 (2019), 101933.

  6. with Jack C.D. Zhao and Michael X.X. Zhong
    Proof of a conjecture of Morales-Pak-Panova on reverse plane partitions
    Advances in Applied Mathematics 108 (2019), 45-66.

  7. with Neil J.Y. Fan and Sophie C.C. Sun
    Proof of a Conjecture of Reiner-Tenner-Yong on Barely Set-valued Tableaux
    SIAM Journal on Discrete Mathematics 33 (2019), 189-196.

  8. with Neil J.Y. Fan and Grace L.D. Zhang
    On parabolic Kazhdan-Lusztig R-polynomials for the symmetric group
    Journal of Pure and Applied Algebra 221 (2017), 237-250.

  9. with William Y.C. Chen, Alan J.X. Guo, Harry H.Y. Huang and Thomas Y.H. Liu
    s-Inversion sequences and P-partitions of type B
    SIAM Journal on Discrete Mathematics 30 (2016), 1632-1643.

  10. with William Y.C. Chen and Sabrina X.M. Pang
    Vacillating Hecke tableaux and linked partitions
    Mathematische Zeitschrift 281 (2015), 661-672.

  11. with William Y.C. Chen
    Equivalence classes of full-dimensional 0/1-polytopes with many vertices
    Discrete & Computational Geometry 52 (2014), 630-662.

  12. with William Y.C. Chen, Neil J.Y. Fan, Alan J.X. Guo, Harry H.Y. Huang and Michael X.X. Zhong
    Combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-Polynomials
    Mathematische Zeitschrift 277 (2014), 1017-1025.

  13. with William Y.C. Chen and Oliver X.Q. Gao
    q-Hook length formulas for signed labeled forests
    Advances in Applied Mathematics 51 (2013), 563-582.

  14. with William Y.C. Chen
    Oscillating rim hook tableaux and colored matchings
    Advances in Applied Mathematics 48 (2012), 393-406.

  15. with William Y.C. Chen and Oliver X.Q. Gao
    On Han's hook length formulas for trees
    The Electronic Journal of Combinatorics 18 (2011), #P155.

  16. with William Y.C. Chen and Oliver X.Q. Gao
    Hook Length formulas for trees by Han's expansion
    The Electronic Journal of Combinatorics 16 (2009), #R62

Unpublished Manuscripts

  1. with William Y.C. Chen, Neil J.Y. Fan and Michael X.X. Zhong
    A Class of Kazhdan-Lusztig R-Polynomials and q-Fibonacci Numbers
    arXiv:1312.2170