• Shiyun Wang

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    Welcome to my website!

     

    I am a Postdoctoral Associate in Mathematics at the University of Minnesota. My mentor is Pavlo Pylyavskyy.

     

    I received my Ph.D. in Mathematics from the University of Southern California in August 2023. My doctoral advisor is Greta Panova.

     

     

    Email Address: wang8406@umn.edu

     

    Research Interests:

    • Algebraic and enumerative combinatorics
    • Tableaux combinatorics
    • Symmetric functions and quasi-symmetric
      functions

     

  • Curriculum Vitae

    Contact me for more info

  • Research

    Papers:

    1. The Stanley-Stembridge Conjecture for 2+1+1-avoiding unit interval orders: a diagrammatic proof.

    (with Joseph McDonough, Pavlo Pylyavskyy). Submitted (2024).

    2. 0-Hecke modules for row-strict dual immaculate functions.

    (with Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Julianne Vega). Trans. Amer. Math. Soc. 377 (2024), 2525-2582.

    3. Pieri rules for skew dual immaculate functions.

    (with Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg). Canadian Mathematical Bulletin. Published online (2024), 1-13.

    4. Row-strict dual immaculate functions.

    (with Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Julianne Vega). Advances in Applied Mathematics. 149 (2023): 102540.

    • Presentation at USC (Video)

    5. The e-positivity of the chromatic symmetric functions and the inverse Kostka matrix (2022).

     

    6. Row-strict dual immaculate functions and 0-Hecke modules.

    (with Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Julianne Vega). Poster presentation at FPSAC 2022. Extended abstract published in Sém. Lothar. Combin, 86B (2022), Art. #6, 12 pp.

    7. Connection between graphical potential games and Markov random fields with an extension to Bayesian networks (2018).

    Master thesis at California State University Long Beach.

    Research in Progress:

    1. Complete characterization of the Weyl alternating set for negative roots of type A Lie algebras (2024+).

    2. Decomposition of the chromatic symmetric functions for Dyck path of bounce number three (2024+).

     

  • Teaching

    Instructor

    UMN 

    (2024 Spring) MATH 5251: Error-Correcting Codes, Finite Fields, Algebraic Curves 

    (2023 Fall) MATH 4707: Introduction to Combinatorics and Graph Theory

    (2023 Fall) MATH 5251: Error-Correcting Codes, Finite Fields, Algebraic Curves

    UCLA

    (2022 Summer) S1stem2: Introduction to Mathematics for Business and Economics

    USC

    (2022 Spring) Math 040: Basic Mathematical Skills

     

    Teaching Assistant

    USC

    (2022 Fall) Math 225: Linear Algebra and Linear Differential Equations

    (2022 Summer) Math 126: Calculus 2

    (2021 Fall) Math 225: Linear Algebra and Linear Differential Equations

    (2021 Spring) Math 125: Calculus 1

    (2020 Fall) Math 125: Calculus 1

    (2020 Spring) Math 118: Fundamental Principles of Calculus

    (2019 Spring) Math 108: Contemporary Precalculus

    (2018 Fall) Math 117: Introduction to Mathematics for Business and Economics

  • Here is my piano recital on Dec 4, 2022, at USC MacDonald Recital Hall.

    N. Kapustin, Etude Op. 40, no. 6

    P. Glass, Mad Rush

  • Reach Out

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