Head of Pure Mathematics
School of Mathematics and Statistics
UNSW, Sydney, Australia
E-mail: danielc followed by shift two unsw period edu period au
Office: Red Centre (East Wing) 4104
Consultation Times: TBA
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If you know the basic language of pure mathematics (i.e. what's a group, ring, topological space), then you may be interested my Youtube channel videos which give snapshots of more advanced pure mathematics. These adventures in pure mathematics are mostly aimed at honours students, and more generally, anyone who has completed MATH3711 and MATH3611. The goal is to present important ideas and results in mathematics without the burden of going through heavy duty proofs. For the latter, you just need to do the hard work.
DanielChanMaths Youtube channel.
Here are some preprints.
In 2010, I gave a series of lectures on the theory of orders. The main purpose was to provide details on ramification theory so that one can read papers on recent work on concerning orders on surfaces. These LECTURES ON ORDERS have been typed up by Boris Lerner and should be appropriate for graduate students.
If you are interested in doing an honours project in algebra, geometry or number theory, feel free to pop in to my office at any time or browse my Adventures in Pure Mathematics: Youtube videos above. Some suggestions for thesis topics. You can also check out my past students below and their theses.
See Extra Material for teaching materials related to past years.
Here are the lecture notes. An error means I haven't uploaded it yet.
Lecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Lecture 14 Lecture 15 Lecture 16 Lecture 17 Lecture 18 Lecture 19 Lecture 20 Lecture 21 Lecture 22 Lecture 23 Lecture 24 Lecture 25 Lecture 26 Lecture 27 Lecture 28 Lecture 29 Lecture 30 Lecture 31 Lecture 32 Lecture 33 Lecture on classification of curves
Some housekeeping for lecture 1.
You can print off the lecture notes here: Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5
Some MAPLE outputs/files: vectors[PDF]
I will use Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5
Some past exams. A quick checklist.