Xiaoshuo Lin
About Me
|
GitHub Resources Analysis Algebra Probability Geometry Miscellaneous |
School: School of Mathematical Sciences, University of Science and Technology of China City: Hefei, Anhui Province, P. R. China E-mail: example@example.com About Me: 2022.09–Present: Undergraduate, in the Hua Loo-Keng Talent Program in Mathematics, School of Mathematical Sciences, University of Science and Technology of China. 2019.09–2022.06: Senior High School, The Affiliated High School of South China Normal University. My research interests lie in Geometry and Topology. In Spring 2025, I am serving as the teaching assistant for MATH3702E: Complex Analysis (Honors). |
Course Resources
Here are some course resources that might be helpful! :)
All works created by me are licensed under CC BY-NC-SA 4.0
| Course | Description | Files |
|---|---|---|
| Mathematical Analysis 数学分析 | Notes.pdf | |
| Mathematical Analysis (A3) Homework Assignments | Homework.pdf | |
| Real Analysis 实分析 | Real Analysis (Honors) Homework Assignments.pdf | |
| Real Analysis by Terence Tao @UCLA | ||
| Complex Analysis 复分析 | Complex Analysis (Honors) Homework Assignments.pdf | |
| Errata | I am updating an Erratato Complex Analysis by Stein and Shakarchi. | |
| Visualize complex mappings with Visualizer 1 and Visualizer 2 | ||
Move the mouse around to explore the beautiful group,  \( \operatorname{SL}(2,\mathbb{Z}) \) |
||
| A second course in Complex Analysis @CUHK | ||
| Modular Forms @BIMSA | ||
| Special Functions 特殊函数 | ||
| NIST Digital Library of Mathematical Functions | ||
| Notes on special functions by Michael Taylor | ||
| Travor Liu’s Zhihu pages | ||
| Costa’s Minimal Surface — Asymptotics of the Ends and Symmetry of the Surface | ||
| Slides | ||
| Functional Analysis 泛函分析 | ||
| Functional Analysis (Honors) Homework Assignments | Homework.pdf | |
| Functional Analysis @PKU | ||
| Videos | ||
| Introduction to Differential Equations 微分方程引论 | ||
| Notes (on ODEs) and Homework Assignments | Notes.pdf | |
| Handwritten Notes on PDEs | Notes.pdf | |
| More on Lyapunov Theory @Stanford | ||
| Errata to Partial Differential Equations by Lawrence C. Evans | ||
| Errata to Differential Equations, Dynamical Systems, and an Introduction to Chaos by Morris Hirsch, Robert L. Devaney, and Stephen Smale | ||
| Linear Algebra 线性代数 | ||
| Lecture Notes on Linear Algebra | Notes.pdf | |
| Notes and Homework Assignments | Homework.pdf | |
| Abstract Algebra 近世代数 | ||
| Notes and Homework Assignments | Homework.pdf | |
| Visit Group Names, Group Explorer, and Number of Small Groups for an excursion among groups | ||
| Abstract Algebra @BSU | ||
| Videos | ||
| Solutions to exercises from Abstract Algebra by Dummit and Foote | ||
| Commutative Algebra 交换代数 | ||
| “Commutative Algebra” by Richard E. Borcherds | ||
| Videos | ||
| Notes on Commutative Algebra @RPTU | ||
| Homological Algebra 同调代数 | ||
| “Introduction to Homological Algebra” by Richard E. Borcherds | ||
| Videos | ||
| An Introduction to Homological Algebra @BIMSA | ||
| Lie Groups and Lie Algebras 李群与李代数 | ||
| “Lie Groups” by Richard E. Borcherds | ||
| Videos | ||
| “Lie Groups and Lie Algebras” by Siqi Liu | ||
| Videos | ||
| Introduction to Lie Algebras @BIMSA | ||
| Probability Theory 概率论 | ||
| Notes and Homework Assignments | Homework.pdf | |
| Part 1 | ||
| Part 2 | ||
| with Guide on Exercises | ||
| Univariate Distribution Relationships | ||
| Applied Stochastic Processes 实用随机过程 | ||
| Slides (Spring 2024) | ||
| 1. Preliminaries | Slides | |
| 2. The Poisson Process | Slides | |
| 3. Renewal Theory | Slides | |
| 4. Markov Chains | Slides | |
| 5. Continuous-Time Markov Chains | Slides | |
| 6. Martingales | Slides | |
| 7. Random Walks | Slides | |
| 8. Brownian Motion and Other Markov Processes | Slides | |
| Selected Solutions to Stochastic Processes by Sheldon M. Ross | Homework.pdf | |
| Handwritten notes on Chapters 4–8 | Notes.pdf | |
| Homework with Hints and Supplements @Columbia | ||
| Applied Probability and Stochastic Modeling @UMich | ||
| Applied Stochastic Processes @PKU | ||
| Foundations of Geometry 几何学基础 | ||
| Lecture Notes on Foundations of Geometry | Notes.pdf | |
| General Topology 拓扑学 | ||
| Topology (Honors) Homework Assignments | Homework.pdf | |
| Corrections to Lee’s Introduction to Topological Manifolds | ||
| \(\pi\)-Base— a community database of topological counterexamples | ||
| Dan Ma’s Topology Blog— expository articles in general topology | ||
| Differential Geometry 微分几何 | ||
| Differential Geometry (Honors) Homework Assignments | Homework.pdf | |
| Hints and Extensions to Chapters 1–5 by Rui Xiong | ||
| Reference for Global Differential Geometry | ||
| Differentiable Manifolds 微分流形 | ||
| Differentiable Manifolds (MATH5003P) Homework Assignments | Homework.pdf | |
| Corrections to Lee’s Introduction to Smooth Manifolds | ||
| “Manifolds and Geometry” by Jiaqiang Mei | ||
| Videos | ||
| Morse Theory @BIMSA | ||
| Riemannian Geometry 黎曼几何 | ||
| Corrections to Lee’s Introduction to Riemannian Manifolds | ||
| Riemannian Geometry @PKU | ||
| Videos | ||
| Analysis on Manifolds by Alexander Grigor'yan | ||
| An Introduction to Minimal Surfaces @BIMSA | ||
| Algebraic Topology 代数拓扑 | ||
| Algebraic Topology Homework Assignments | Homework.pdf | |
| Videos available online | ||
| Seminar | ||
| NTU | ||
| Nankai | ||
| Andrews Univ. | ||
| Algebraic Topology (Honors) @FDU | ||
| Characteristic Classes 示性类 | ||
| Characteristic Classes by J. W. Milnor and J. D. Stasheff | Homework.pdf | |
| Vector Bundles and K-Theory by Allen Hatcher | Homework.pdf | |
| “Characteristic Classes” by Geometry Potsdam | ||
| Videos | ||
| Algebraic Geometry 代数几何 | ||
| “Algebraic Geometry” by Richard E. Borcherds | ||
| I: Varieties | ||
| II: Schemes | ||
| Extra Topics | ||
| Algebraic Curves @BIMSA | ||
| Notes on Plane Algebraic Curves @RPTU | ||
| Notes on Algebraic Geometry @RPTU | ||
| The Stacks project— an open source textbook and reference work on algebraic geometry | ||
| The Rising Sea: Foundations of Algebraic Geometry Notes | ||
| Freshman Seminar “科学与社会”研讨课 |
Miscellaneous
| Topic | Description | Files |
|---|---|---|
| Asymptotics and Numerical Approximation of the Riemann \(\zeta\) Function | Slides | |
| Scientific Programming with Python 科学计算基础 | ||
| A Python Project for Random String Plucking and Overtone Generation | Slides | |
| General Physics 普通物理 | ||
| Handwritten notes | ||
| Mechanics | ||
| Thermotics | ||
| Optics | ||
| Atomic Physics | ||
| The Feynman Lectures on Physics |
Helpful Links
Others’ Homepages
王作勤 | 刘世平 | 梁永祺 | 李文威 | 肖梁 | 刘思齐 | 李思 | 陈童 | 谢启鸿 | 陳誼廷 | 王金龍 | 熊锐 | cnBlogs | GitHub Pages | 李卫雨 | 孙天阳 | 郑滕飞 | Alexander Grigor'yan | Allen Hatcher | Dexter Chua | Joël Merker | John M. Lee | John W. Milnor | J.P. May | J.S. Milne | Lawrence Craig Evans | Michael Taylor | Ravi Vakil | Richard E. Borcherds | Rick Durrett | Travor Liu
Visitor Counter
© 1997-2024 Xiaoshuo Lin. All rights reserved. 
Best viewed in Netscape Navigator!
Generate your own 90s page here!