Library
Library
Here are all the notes：
Algebra
1.Linear Algebra Done Right 3rd Edition
2.UVA Spring 2023 MATH-4651 Advanced Linear Algebra Lecture Notes
3.UVA Spring 2023 MATH-4652 Introduction to Abstract Algebra Lecture Notes
4.UVA Fall 2023 MATH-7751 Algebra I Lecture Notes (This version is organized by semester progression)
5.UVA Fall 2023 MATH-7751 Algebra I Lecture Notes - Formal Version (Since this file is co-edited by Professor You Qi and me, I reserve the right to share this version as appropriate, permission will be needed to access this version, please drop me or Professor Qi a message)
6.UVA Spring 2024 MATH-7752 Algebra II Lecture Notes (This version is organized by semester progression)
7.Upcoming: UVA Spring 2024 MATH-7752 Algebra II Lecture Notes - Formal Version (Release Date: TBD.)
8.Upcoming: UVA Fall 2024 MATH-8852 Representation Theory Lecture Notes
Analysis
1.UVA Fall 2023 MATH-4310 Introduction to Real Analysis Supplementary Reading Notes
2.UVA Fall 2023 MATH-4310 Introduction to Real Analysis Lecture Notes (This note is written entirely by Professor Peter Humphries, so if you would like a copy of this note, please ask him for permission. I list it here simply to declare the existence of this note.)
3.Functions of One Complex Variable (Unfinished Version)
4.UVA Fall 2024 MATH-7340 Complex Analysis Lecture Notes (This note is written entirely by Professor Peter Humphries, so if you would like a copy of this note, please ask him for permission. I list it here simply to declare the existence of this note.)
Geometry and Topology
1.UVA Spring 2024 MATH-5700 Introduction to Geometry Lecture Notes (Tentative Version)
2.An Introduction to Manifolds (Up to Section 9)
3.UVA Fall 2024 MATH-7820 Differential Topology Lecture Notes
4.UVA Spring 2025 MATH-8851 Geometric Group Theory (Hyperbolic Groups) Lecture Notes
5.UVA Spring 2025 MATH-7800 Algebraic Topology I Lecture Notes
Number Theory
1.Upcoming: Hilbert's Tenth Problem Reading Notes (Here is the tentative version, I have the last three small sections left to read, so I'll update them up later...)
Cryptography