Hong Sheng Tan

• 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

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.

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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

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

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Student comments:

• MTH 235 — Student Feedback (PDF)
• MTH 133 — Student Comments (PDF)

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

• Golden Number
  A 2-player counting strategy game. Players may say 1 or 2 numbers each turn, and the player who says 21 wins.
  Play the interactive version
• Animal Ladder Race
  A 2-player strategy game where four animals race on a ladder, but the winner is the player who controls the 3rd-place animal.
  Play the interactive version
• Exploding Hands
  Exploding Hands is a two-player strategy game about adding, splitting, and timing your attacks.
  Play the interactive version
• Seven Cards Bet
  Seven Card Bet is a two-player strategy game about risk, bluffing, and smart card choices.
  Play the interactive version
• Hidden Maze
  Hidden Maze is a two-player strategy game that enables players to build their own maze.
  Play the interactive version
• Bomb Territory Duel
  Enter Bomb Territory Duel, dodge the bombs, outsmart your rival, and capture four beacons before they do!
  Play the interactive version
• 888-Jackpot
  Can you outsmart your opponent and uncover the hidden jackpot number before they do?
  Play the interactive version
• Memory Trio
  Think you can remember every hidden number, build the most trios, and know exactly when to call END? Pass the device and challenge a friend to Memory Trio!
  Play the interactive version
• Ratio Snooker
  The ratio snooker test your visualization skill and finding the right ratio.
  Play the interactive version
• Nine Mens Morris
  The Nine Mens Morris is one of the most classical strategy game played by old Romans.
  Play the interactive version
• Senet
  Step into ancient Egypt and challenge your strategy in Senet, a game played thousands of years ago. Roll, outsmart your opponent, and race your pieces to freedom—can you master the game of the pharaohs?
  Play the interactive version
• Set Theory and Operators (PDF)
• Game Theory: Number Bomb (in Chinese)

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.

• SPDEs Class Notes (PDF)

• Email: tanhong@msu.edu
• GitHub: github.com/TanHongSheng