Hong Sheng Tan
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Hong Sheng Tan

Hong Sheng Tan

Mathematics • Research • Teaching

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Welcome! I am a PhD student in Mathematics at Michigan State University. My current interests include stochastic PDEs, probability, interacting particle systems, and regularity theory, especially questions related to the KPZ equation. I also enjoy teaching mathematics and designing interactive activities that help students learn through play.

Education

  • PhD Student in Mathematics
    Michigan State University · Sep 2024 – Present

    Advisor: Professor Konstantin Matetski

  • Master of Science in Mathematics and Applied Mathematics
    Xiamen University Malaysia · Sep 2023 – Jul 2024

    Program status: not completed

  • Bachelor of Science in Mathematics and Applied Mathematics (Honours)
    Xiamen University Malaysia · Sep 2020 – Jul 2023

    Undergraduate thesis: The Error Term on the Prime Number Theorem

    Advisor: Professor Teo Lee Peng

Research

My current research interests are mainly in stochastic PDEs, probability, interacting particle systems, and regularity theory. I am especially interested in questions related to the KPZ equation and its connections with microscopic stochastic models.

Research timeline:

  • January 2026 – Present: Working on a project related to the KPZ equation, interacting particle systems, and regularity theory.

    The project studies connections between microscopic stochastic models and singular stochastic PDEs.

  • June 2025 – January 2026: Studied the basics of stochastic PDEs.

    This period focused on building background in stochastic analysis, PDEs, and the analytic tools needed for modern SPDE theory.

  • During 2024–2025: Research Assistant at Xiamen University Malaysia, studying the Prime Number Theorem under the guidance of Professor Teo Lee Peng.

    Project: Optimal Cosine Polynomials for Riemann Zeta Zero-Free Region (https://arxiv.org/abs/2411.01385)

Teaching

Teaching is a big part of my graduate life. Here are the courses I have taught at Michigan State University:

  • Spring 2026: MTH 235 — Ordinary Differential Equations
  • Fall 2025: MTH 133 — Calculus II
  • Summer 2025: MTH 124 — Survey of Calculus I

Student comments:

Teaching with Junior School Students

I design mathematical games and interactive activities to make mathematics more playful and approachable for junior school students.

PDF Notes

This note is a summary of the Stochastic PDEs reading course with Professor Konstantin Matetski at Michigan State University, conducted from Summer 2025 to Fall 2025.

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