Siwei Luo

Siwei Luo

Undergraduate Student majoring (Pure/Applied) Mathematics at the School of the Gifted Young, USTC

📑 Academic Experience

👋🏻 Here is my personal academic experience, including the detailed description of my academic research of mathematics, eduation experience from high school, the communication experience of study and research since I was admitted to university and the skills and languages I have learned.

🧐 Academic Research Experience

This is only a brief list of my academic research experience with highlights of each research. The detailed information of each experience can be found at the research page.

🌟 2025 Summer Research in Kinetic Theory

Boltzmann Equation with Mass Exchange (based on Degond-Liu’s work)

  • 🌍 Location: Hefei, Anhui, China

  • ⏰ Expected Time: December 2025 - May 2026

  • 🏠 Host Unit: School of Mathematical Sciences, University of Science and Technology of China

  • 👥 Host Supervisor: Prof. Shunlin SHEN

  • 📖 Brief Description:

    • Studied Degond-Liu’s mass–exchange Boltzmann model on a mass lattice and formulated a continuous-mass Boltzmann equation as a scaling limit. Established weak compactness of ($f^\varepsilon$) using Dunford–Pettis type arguments and time equicontinuity from the weak formulation.
    • Performed a consistency analysis of the collision operator via truncation and Riemann–sum approximations, exploiting $C^1$-regularity of the kernel and exchange map to identify the continuous-mass limit.
    • Work in progress: stability and uniqueness in a local dual (Wasserstein-type) metric and quantitative $O(\varepsilon)$ convergence.

🏫 Education Experience

💻 Bachelor of Science Degree

USTC

SGY

I am now an undergraduate sophomore student at University of Science and Technology of China majoring in mathematics.

  • ⏰ Time: September 2023 - Present

  • 🌍 Location: Hefei, Anhui, PRChina

  • 🎓 Expect Graduation: July 2027

  • 📝 Latest GPA: 4.04/4.30 (92.42)

📖 Freshman Year

In the freshman year, I found myself interested in pure mathematics, especially in algebra. The course Foundation of Algebra makes me able to attempt to construct seminar on commutative algebra.

⏰ Sophomore year

In the second year of undergraduate, I was enrolled in the Hua Loo-Keng Talent Program in Mathematics. During this year, I have learned classical theory of partial differential equaions, functional analysis and point-set or algebraic topology and attended seminar of representation theory & smooth manifolds.

At the very beginning of the first semester, I published series of recorded video lectures on fundamentals of algera (i.e. introduce basic concepts and properties of algebraic structures and use them to explain elementary number theory and polynomials theory) at Bilibili, a website platform of videos in China (c.f. talks).

During the first semester, I learned the course Introduction to Differential Equations, which introduced basic linear PDEs such as wave equation, heat equation and Poisson’s equation, deepening my insight and attrating me into the interest of partial differential equations (PDEs). After that, I attempted to read Evan’s textbook Partial Differential Equations, learned the concepts like Sobolev spaces and tried to read some paper on PDE research. I will perform a 2-month summer research on nonlinear PDEs under the guidance of Prof. Zhouping XIN and Prof. Renjun DUAN at Institude of Mathematical Science, Chinese University of Hong Kong this summer vacation.

I attended the 2025 S.-T. Yau College Student Mathematics Contest and eventually obtained Honorable Mention in Written Exam on Analysis and Partial Differential Equations.

I gave a lecture on mathematical analysis to the freshman majoring in mathematics in the first semester (c.f. talks). During the winter vacation, I organized a seminar on smooth manifolds and gave 2 lectures “Revision of Topological Manifolds” and “Tangent Space of Smooth Manifolds” by myself. In the second semester, I will attend the seminar on representation theory under the guidance of Prof. Shucheng YU and will give 3 lecture, introducing Representations, Maschke’s Theorem, Semisimplicity and The Structure of Algebras for WhichEvery Module Is Semisimple based on the textbook P. WEBB A Course in Finite Group Representation Theory.

🥇 Selected Honor

🌟 2025 S.-T. Yau College Student Mathematics Contest: Honorable Mention in Written Exam (Analysis and Partial Differential Equations)

🌟 Member of the School of the Gifted Young

🌟 Member of the Hua Loo-Keng Talent Program in Mathematics

🌟 2023 Outstanding Freshman Scholarship

🌟 2024 Scholarship for Hua Loo-Keng Talent Program in Mathematics

🌟 2024 Chen Linyi Honored Scholarship

🌟 2025 Huawei Scholarship

🌟 2025 Scholarship for Hua Loo-Keng Talent Program in Mathematics

✍️ High School

NFLS

My high school is Nanjing Foreign Language School, the top 1st high school in Jiangsu Province, PRChina.

  • ⏰ Time: September 2022 - June 2023

  • 🌍 Location: Nanjing, Jiangsu, PRChina

NFLS has strong teaching capabilities and is committed to cultivating “international compound talents with foreign language expertise, proficiency in both arts and sciences, and strong comprehensive abilities”.

🥇 Selected Honor

🌟 Zhou Enlai Scholarship 2022

🌟 First Prize in Jiangsu at the National High School Students Mathematics League

🫧 Communication

📑 Communication Experience of Mathematics

2024 Algebra & Number Theory Summer School

  • 🌍 Location: Beijing, China

  • ⏰ Time: July 2024 - August 2024

  • 🏠 Host Unit: Academy of Mathematics and Systems Science, Chinese Academy of Science

  • 👥 Main Supervisor: Prof. Shouwu ZHANG, Princeton

  • 💻 Website: https://antss.amss.ac.cn

  • 📖 Brief Description: Learning courses of Algebraic Geometry, Algebraic Number Theory and Representation Theory of finite groups

2024 USTC-FDU Talent Program in Mathematics Communication

  • 🌍 Location: Shanghai, China

  • ⏰ Time: December 2024

  • 🏠 Host Unit: Math Department, University of Science and Technology of China & Math Department, Fudan University

  • 👥 Main Supervisor: Prof. Xinan MA

  • 📖 Brief Description: Engaged in communications with undergraduates at FDU of mathematical courses.

🧑‍🎓 Communication Experience of Student Unions

As a member of the Student Union of the School of the Gifted Young, I have attended the communication activities of student unions between different universities and USTC.

Up to now, I have paid visit to the following universities.

💬 Skills & Languages

  • 🌟 Skills: C++, Mathematica, LaTeX

  • 🌟 Languages: Chinese (Native), English (TOEFL 102)