Peter L. Guo (郭龙)

Preprints

  1. with Neil J.Y. Fan, Changjian Su, and Rui Xiong
    Chern classes of open projected Richardson varieties and of affine Schubert cells
    [arxiv:2501.16172v1]

  2. with Zhuowei Lin
    Schubert polynomials and patterns in permutations
    [arxiv:2412.02932v1]

  3. with Zhuowei Lin and Simon C.Y. Peng
    Zero-one dual characters of flagged Weyl modules
    [arxiv:2411.10933v1]

  4. with Neil J.Y. Fan, Changjian Su, and Rui Xiong
    A Pieri type formula for motivic Chern classes of Schubert cells in Grassmannians
    [arxiv:2402.04500v1]

  5. with Neil J.Y. Fan and Rui Xiong
    Pieri and Murnaghan–Nakayama type rules for Chern classes of Schubert cells
    [arxiv:2211.06802v1]

  6. with Neil J.Y. Fan and Nicolas Y. Liu
    An Involution on Semistandard Skyline Fillings
    [arxiv:2010.08156]

  7. 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 and Rui Xiong
    Bumpless pipedreams meet puzzles
    Advances in Mathematics 463 (2025), Paper No. 110113, 29 pp.
    [arxiv:2309.00467] [journal version]

  2. with Neil J.Y. Fan and Nicolas Y. Liu
    Complements of Schubert polynomials
    Advances in Applied Mathematics 157 (2024), Paper No. 102691, 16 pp.
    [arxiv:2001.03922] [journal version]

  3. with Neil J.Y. Fan
    Poincare polynomials of odd diagram classes
    SIAM Journal on Discrete Mathematics 36 (2022), 2225–2237.
    [arxiv:2110.04723] [journal version]

  4. with Neil J.Y. Fan
    Upper bounds of Schubert polynomials
    Science China Mathematics 65 (2022), 1319–1330.
    [arxiv:1909.07206v2] [journal version]

  5. with Neil J.Y. Fan
    Set-valued Rothe tableaux and Grothendieck polynomials
    Advances in Applied Mathematics 128 (2021), 102203.
    [arxiv:1908.04164] [journal version]

  6. with Neil J.Y. Fan
    Vertices of Schubitopes
    Journal of Combinatorial Theory, Series A 177 (2021), 105311.
    [arxiv:1910.02816] [journal version]

  7. 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.
    [arxiv:1911.07650] [journal version]

  8. with Neil J.Y. Fan
    A note on specializations of Grothendieck polynomials
    Discrete Mathematics 343 (2020), 111877.
    [arxiv:1811.11596v2] [journal version]

  9. with Sophie C.C. Sun
    Identities on factorial Grothendieck polynomials
    Advances in Applied Mathematics 111 (2019), 101933.
    [arxiv:1812.04390v1] [journal version]

  10. 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.
    [arxiv:1711.03048] [journal version]

  11. 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.
    [arxiv:1807.08292] [journal version]

  12. 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.
    [arxiv:1501.04275] [journal version]

  13. 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.
    [arxiv:1310.5313] [journal version]

  14. with William Y.C. Chen and Sabrina X.M. Pang
    Vacillating Hecke tableaux and linked partitions
    Mathematische Zeitschrift 281 (2015), 661-672.
    [arxiv:1405.3849] [journal version]

  15. with William Y.C. Chen
    Equivalence classes of full-dimensional 0/1-polytopes with many vertices
    Discrete & Computational Geometry 52 (2014), 630-662.
    [arxiv:1101.0410] [journal version]

  16. 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.
    [arxiv:1304.0061] [journal version]

  17. 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.
    [arxiv:1004.1811] [journal version]

  18. with William Y.C. Chen
    Oscillating rim hook tableaux and colored matchings
    Advances in Applied Mathematics 48 (2012), 393-406.
    [arxiv:1105.4306] [journal version]

  19. 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.
    [arxiv:1103.4068] [journal version]

  20. 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.
    [arxiv:0903.3342v1] [journal version]