Dr Daniel Chan

 Senior Lecturer
School of Mathematics
University of New South Wales
Sydney, 2052, NSW
Australia
danielc "shift-2" unsw.edu.au

Office: Red Centre Room 4104
Phone No: 9385 7084

Consultation Times:
M 11-12
T 3-4
Th 11-12

To find out a little about me, look at mon autobiographie. [PDF]


Unique Cinematic Experience
Watch the movie Noncommutative Polarisations starring Daniel Chan. Filmed on location at MSRI, Berkeley.

MATH5725 Galois Theory (2007)

Here's the course handout. The syllabus has not been finalised.

Assignment 1 is due in week 6. I hope the first two questions are relatively straightforward. See me if you have difficulties.

Charles Qin has been nice enough to type up summaries of the Galois theory lectures.


MATH1251: Mathematics for Actuarial Studies (2008,S2)
If you get re-directed to the School of Mathematics homepage, that means the lecture has not been updated from last year yet.

MATLAB file geom2.m for use in lecture 4.
MATLAB file lexl.m
MATLAB file for lecture 23.


MATH3711 Higher Algebra (2007)

I will hand out the following course information in the first lecture.

Course Outline. Assignments and Mathematical Writing. Studying for this course.

There is also a tentative syllabus which is not to be trusted but gives you a guide if you are wondering what would be appropriate texts to supplement your studies with.

Problem sheets and assignment information will be posted here in future. If you get sent back to the School of Maths homepage, that probably means that I haven't updated that problem set from last year.

Problem set 0. Problem set 1. Problem set 2. Problem set 3. Problem set 4. Problem set 5. Problem set 6. Problem set 7.

The first assignment is due wednesday week 5. It consists of problem sheet 1 Q7,14(harder),23, problem sheet 2 Q6 and 13 and problem sheet 3 Q2.

Here's last year's test.

The second assignment is due monday of week 13. It consists of Problem Sheet 5 Q5,6,18ii),20 and Problem Sheet 6 Q5.

Here's the 2006 exam 2007 exam

Also some group theory revision.

Charles Qin has been kind enough to type up the lecture notes. I haven't checked through them, but Charles was an excellent student who I'm sure would have removed far more errors than he would have inserted. The material will not change much from last year. You may wish to bring these notes to class with you.


MATH3710 Higher Algebra 1: Group Theory (Old Course)
Here is some course info and the syllabus. Also, here are some hints on good mathematical writing style.

Problem Set 1. Problem set 2. Problem set 3. Problem set 4. Problem set 5. Problem set 6.

2003 final exam. 2004 final exam.

Lecture Notes were typed up by Kenneth Chan during my 2003 class. I have not checked through them but Kenneth did do very well in the course if that's any indication of their accuracy. The lectures should not differ much from the version above.


MATH5655 Homology and homological algebra(2005)
Course info.
The first part of the course is based on the first two chapters of Munkres' text "Elements of Algebraic Topology". Kenneth Chan has been kind enough to type up some lecture notes.
Problem sheet 1 is now ready for your enjoyment. The pictures are unfortunately missing. The assignment due week 6 is a selection of questions from this problem sheet.
Problem sheet 2 has more action packed questions. The assignment involves 4 questions from it. It is due week 12.
Problem sheet 3 has questions related to the homological algebra part of the course. At least one exam question is on that problem sheet.

MATH1141: Algebra(2004)
MATH1241 Algebra(2005)
Interested in doing Honours?
If you are interested in doing an honours project in algebra or geometry, feel free to pop in to my office at any time. Some suggestions for thesis topics.

Past Honours/Masters Students
Antony Orton (2003) wrote an excellent thesis on Algebraic Geometry and the Generalisation of Bezout's Theorem.
Kenneth Chan (2004) wrote a thesis on Riemann surfaces and the Jacobian variety On a proof of Torelli's theorem.
Dave Cock (2004) wrote a thesis on The Weyl algebras.
Piotr Horodynski wrote a thesis on Grobner Bases.
Maiyuran Arumugam (2005) wrote a thesis on A theorem of homological algebra: the Hilbert-Burch theorem.
James Maclaurin (2006) wrote a thesis on The resolution of toric singularities.
Boris Lerner (2007) wrote his thesis on The Brauer-Manin obstruction to the Hasse principle.
Koushik Panda (2007) wrote his thesis on Twisted rings of differential operators on the projective line and the Beilinson-Bernstein theorem.
Nathan Menzies (2007) wrote a thesis entitled An introduction to A-infinity algebras.
Current Honours/Masters Students

Roland Sands is studying the Weil conjectures for curves.

Postgraduate Students

Kenneth Chan
Hugo Bowne-Anderson
Boris Lerner


Algebraic Geometry(2004)
Here are Kenneth Chan's lecture notes for the course. I haven't checked through them. Kenneth informs me there will be a newer flawless version just prior to the exam.

Commutative Algebra(2003) The following students were kind enough to write up lecture notes for the course (2003). Perhaps they felt mildly compelled to do so on account of the fact that it formed 70% of their assessment. A small part of lecture 12 can also be found in the photo above.

Lectures 1, 2 by Antony Orton. Lecture 3 by Michael Leeming. Lecture 4 by Ross Edwards. Lecture 5 by Perry ?.
Lecture 6 by Kevin Sun. Lectures 7,8 by AO. Lecture 9 by RE. Lecture 10 by ML. Lecture 11 by AO.
Lecture 12 by KS. Lecture 13 by RE. Lecture 14 by ML. Lecture 15 by AO. Lecture 16 by RE. Lecture 17 by ML. Lecture 18 by KS. Lecture 19 by AO. Lecture 20 by RE. Lecture 21 by ML. Lecture 22 by KS. Lecture 23 by AO. Lecture 24 by RE. Lecture 25 by ML. Lecture 26 by AO. Lecture 27 by ML.


Publications

Here are some preprints.

Seminar talks

A non-commutative Mori contraction (Banff 2008)




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