Welcome to Jiahao's Academic Space
"The theory of probability as mathematical discipline can and should be developed from axioms in exactly the same way as Geometry and Algebra." โ Andrey Kolmogorov (ๅฎๅพท้ทยท็งๅฐ่ซๅฅๆดๅคซ)
"All models are wrong, but some are useful." โ George E.P. Box (ไนๆฒปยทๅๅ ๆฏ)
๐จโ๐ป About Me
Welcome to my academic notes homepage! I am an undergraduate student majoring in Statistics at the School of Mathematical Sciences, Zhejiang University (ZJU). Prior to this, I was a student in the Physics program of the Qiushi Science Class at Chu Kochen Honors College. I later transferred to the School of Mathematical Sciences driven by personal interest and long-term career goals.
Currently, my research interests focus on the following fields:
- High-Dimensional Statistical Inference (e.g., Knockoff Filter algorithms)
- Conformal Prediction
- Probability Theory and Stochastic Processes
๐ก Philosophy
The purpose of this website is twofold. First, it serves as a platform to organize my scattered handwritten derivations from scratch paper and my iPad into systematic notes for future review. Second, I firmly believe that recording is a meaningful thing, and this website can well depict my growth trajectory and learning journey.
๐ Selected Coursework
Below are the mathematics and statistics courses I have completed or am currently taking at ZJU:
๐ Probability & Statistics
- Stochastic Differential Equations
- Asymptotic Statistical Theory
- Advanced Probability
- Advanced Mathematical Statistics
- Seminars On Frontier Mathematics, Topic: Financial Stochastic Analysis
- Stochastic Processes
- Mathematical Statistics
- Probability Theory
- Multivariate Statistical Analysis
- Regression Analysis
- Statistical Learning
- Statistical Computing
- Mathematical Practice
๐งฎ Advanced Pure Mathematics
- Functions of Real Variables
- Functional Analysis
- Distribution Theory
- Point-Set Topology
- Ordinary Differential Equations
- Honors Mathematical Analysis I & II
- Advanced Algebra & Analytic Geometry I & II
- Mathematical Analysis III
๐ Applied Mathematics & Computation
- Matrix Computations
- Mathematical Software
- Discrete Mathematics
- Practical Optimization Algorithms
- Data Structures and Algorithms
- Intro to Uncertainty Quantification
๐ป Self-Study Courses
Below are the mathematics/statistics courses I self-studied through Zhejiang University's live-streaming platform (Zhiyun Classroom):
- Real Analysis
- Numerical Algebra
- Mathematical Foundations in Data Science
๐ฌ Contact & Contribution
All mathematical derivations on this website originate from my personal course-taking (including on-campus courses and recorded lectures from ZJU) and self-study manuscripts. The progress and difficulty are matched to the undergraduate and graduate curricula of the School of Mathematical Sciences at Zhejiang University.
To improve efficiency, the Markdown formatting, LaTeX typesetting, and the translation of the English version were completed with the assistance of Large Language Models (primarily Gemini 3.1 Pro).
Mathematical derivations inevitably contain typos or blind spots. If you find any errors while reading, or if you share a mutual interest in statistical inference, conformal prediction, probability theory, or stochastic processes, I would be more than happy to connect!
- Email: jiahaot1122@gmail.com
- GitHub: @jiahaotian-stat
๐ Beyond Math
Beyond probability measures and statistical methods, I am a passionate football fan (Visca el Barรงa!). One of my bucket list items is to attend a World Cup knockout match involving Spain or Argentina, or a UEFA Champions League match featuring FC Barcelona at the Camp Nou.
๐ Mathematical Galaxy
Stay rigorous, and keep computing.