• 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.

    (Last update: September 13, 2023)

  • Research

    Papers:

    1. The e-positivity of the chromatic symmetric functions and the inverse Kostka matrix (2023).

    2. Row-strict dual immaculate functions (2023).

    With Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Julianne Vega.

    • Advances in Applied Mathematics (Forthcoming)
    • Presentation at USC (Video)

    3. 0-Hecke modules for row-strict dual immaculate functions (2023).

    With Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Julianne Vega.

    • Transactions of the AMS (Forthcoming)

    4. Row-strict dual immaculate functions and 0-Hecke modules (2022).

    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.

    5. Pieri rules for skew dual immaculate functions (2023).

    With Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg. (Submitted)

    6. 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. Decomposition of the chromatic symmetric functions for Dyck path of bounce number three (2023+).

     

  • Teaching

    Instructor

    UMN

    (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

    Leave a message and I will get back to you.

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