**Want to help?**It only takes a few moments to send me a small donation.

I would like to warmly thank the following people for their contributions/insights/friendship:

*Peter Barfuss, Li Chen, Raymond Cheng, Hanci Chi, Ilia Chtcherbakov, Erik Crevier, Chad Davis, Chen Fei Du, Sam Eisenstat, Mohamed El Alami, Wei Xi (Victor) Fan, Samuel Harris, Joseph Horan, Andrew (Juno) Jung, Jimmy He, Ehsaan Hossain, Ifaz Kabir, Wei Wei (William) Kong, Winnie Lam, Chao Hsien (Jason) Lin, Yuntao Liu, Blake Madill, Apala Mandal, Kevin Matthews, David McLaughlin, Joël Merk, Yossef Musleh, Mateusz Olechnowicz, Kamal Rai, Ritvik Ramkumar, Samin Riasat, John Charles Saunders, Steven Scott, Dmitry Serbin, David Shi, Artane Jeremie Siad, Peter Sinclair, Hao Sun, Saifuddin Syed, Adam Venis, Eeshan Wagh, Shiyang (George) Wen, Jennifer Yeelam (Jenny) Wong, Rui (Philip) Xiao, Hee Sung Yang, Hanmeng (Harmony) Zhan, Leqi (Jimmy) Zhu*, and any others I may have forgotten.

I've taken essentially all undergraduate/graduate PMATH courses at Waterloo. Be sure to check the "random scraps" section at the bottom if you can't find the desired course. If you're wondering who taught a Waterloo course and I was sloppy enough to omit it from the notes, see here. If a course is not listed, feel free to contact me at the address below; I may have some other notes lying around:

adex7ehaiyimocxunpaq (at) gmail (dot) com (remove all vowels from first segment Y IS NOT A VOWEL)

### Waterloo course notes (BMath/PMATH+CO)

- [S12] CO 342, Graph Theory 1 (
*complete***) - [F13] CO 430/630, Algebraic Enumeration (
*complete*)- Official notes from Fall 2010 term

- [W12] CO 481, Quantum Information (
*almost complete*) - [S11] MATH 245, Advanced Linear Algebra 2 (
*complete*)- Compilation of final exam theorems (taken directly from above notes)
- Review document

- [S12] MATH 245, Advanced Linear Algebra 2 (
*almost complete*) - [F10] MATH 247, Advanced Calculus 3 (
*almost complete*) - [F11] PMATH 345, Polynomials, Rings and Finite Fields (
*complete**) - [W12] PMATH 346, Group Theory (
*almost complete*) - [F11] PMATH 351, Real Analysis (
*complete*) - [S11] PMATH 352, Complex Analysis (
*almost complete*) - [S12] PMATH 352, Complex Analysis (
*almost complete*) - [W13] PMATH 365, Smooth Manifold Theory (
*complete*) - [S12] PMATH 440/740, Analytic Number Theory (
*complete*) - [W13] PMATH 441/641, Algebraic Number Theory (
*complete*) - [F12] PMATH 442/642, Fields and Galois Theory (
*complete*) - [F13] PMATH 445/745, Representations of Finite Groups (
*complete*)- Homepage (with official notes)
- "The really important stuff in 2 hours" (notes from my 1145 seminar)
- Book

- [W12] PMATH 450/650, Lebesgue Integration and Fourier Analysis (
*complete*)- Review diagram (neater one here, due to Janis Lazovskis)
- To do: fix typo in remark 2.25 (note that \( |\mathcal{B}(\mathbb{R})| = \mathfrak{c} \) so the claimed equality cannot hold).

- [F12] PMATH 451/651, Measure Theory (ask me)
- [F12] PMATH 453/753, Functional Analysis (
*complete*) - [W12] PMATH 464/764, Algebraic Geometry (
*almost complete*) - [S13] PMATH 464/764, Algebraic Geometry (
*complete*) - [F13] PMATH 465/665, Riemannian Geometry (
*complete*) - [W13] PMATH 763, Lie Groups and Lie Algebras (
*complete*) - [F13] PMATH 822, Topics in Operator Theory: Operator Spaces (
*complete*) - [F13] PMATH 900, Topics in Algebra: Valued Fields (
*complete*) - [W14] PMATH 955, Topics in Geometry: Atiyah–Singer Index Theorems

** Many diagrams missing.

### Waterloo course notes (MMath/PMATH)

- [W15] PMATH 763, Lie Groups and Lie Algebras (Spiro's offering; see here and here)
- [W15] PMATH 810, Banach Algebras and Operator Theory (Nico's offering; see also here)
- Some nice notes on C*-algebras etc.

- [F14] PMATH 940, Topics in Number Theory: p-adic Analysis (Cam's offering;
*incomplete*; see here instead) - [F14] PMATH 945, Topics in Algebra: Arithmetic Dynamics (Jason's offering;
*incomplete*) - [F14] PMATH 950, Topics in Analysis: Non-Selfadjoint Operator Algebras (Ken's offering;
*incomplete*) - [W15] PMATH 965, Topics in Geometry: Kähler–Einstein Metrics on Compact Kähler Manifolds (Reza's offering)

### Waterloo course notes (why is this guy still here)

- [W16] PMATH 965, Topics in Geometry: Gauge Theory (Benoit's offering)
- [W16] ECE whatever

### Montreal course notes (PhD/MATH)

- [F16] MAST 865, Dynamical Systems
- [F16] MATH 580, Partial Differential Equations
- [F16] Abelian Functions and Theta Functions (may appear eventually; see here although they seem to be outdated)
- [W17] Teichmüller Theory and Moduli of Riemann Surfaces (may appear eventually)
- [W17] MATH 599, Introduction to Mathematical General Relativity
- [W17] MAT 6340, Special Topics in Topology and Geometry: Symplectic Topology
- Contains material on e.g. the h-principle, J-holomorphic curves, Gromov compactness, quantum cohomology
- You're probably better off reading Audin–Lafontaine or McDuff–Salamon

### Random scraps from Waterloo courses

Incomplete/abandoned notes.- [F11] AMATH 250, Introduction to Differential Equations
- [F12] CO 330, Combinatorial Enumeration (
*rough and incomplete*) - [F11] CO 355, Mathematical Optimization
- Handwritten notes for the rest of the course (~6.0 MB)

- [W14] CO 367, Nonlinear Optimization
- [W14] CO 434, Combinatorial Designs
- [S12] CS 341, Algorithms 1 (
*discontinued; too annoying to typeset*) - [W12] CS 365, Models of Computation
- [S11] PMATH 345, Polynomials, Rings and Finite Fields (
*use notes above instead*) - [W12] PMATH 365, Differential Geometry 1
- [F12] PMATH 433/733, Model Theory and Set Theory
- [W12] PMATH 444/644, Noncommutative Algebra/Module Theory
- [W14] PMATH 446/646, Commutative Algebra (see here for W15 offering)
- [S13] PMATH 450/650, Lebesgue Integration and Fourier Analysis
- [W13] PMATH 467/667, Algebraic Topology
- [W14] PMATH 467/667, Algebraic Topology
- [W13] PMATH 499, Spectral Theory of Operators
- [W13] PMATH 800, Topics in Real and Complex Analysis: Measure-Theoretic Probability Theory
- [W14] PMATH 800, Topics in Real and Complex Analysis: Riemann Surfaces
- [W12] PMATH 900, Topics in Algebra: Special Algebraic Structures
- [F13] QIC 820, Theory of Quantum Information
- [F13] PMATH 955, Topics in Geometry: Advanced Algebraic Geometry

Thank you very much for the hard work, the notes are formatted in easy-to-read and minimalist style. Those are very useful.

ReplyDeletethis is a goldmine. Many thanks for this collection of notes.

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