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:

Wednesday 11
Friday 1

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.

Publications

Here are some preprints.

Seminar talks

A non-commutative Mori contraction [handout] (Banff 2008) Macaulay assumption is missing from definition of non-commutative smooth projective d-fold
Non-commutative projective geometry (University of Melbourne 2009)
Non-commutative Mori contractions (RIMS 2009)


MATH5725 Galois Theory (2009)

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

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

Assignment 1 consists of Problem Sheet 2, Q6i) and Problem Sheet 3, Q4 and Q6iii).
Asignment 2 is due during the lecture of week 10. It consists of Problem sheet 4 Q5, Problem sheet 5 Q1iv) and Q5.

Boris Lerner has typed up lecture notes for the 2007 Galois theory course I taught. The 2009 version will be somewhat different, going at a much more leisurely pace. Please e-mail typos to Boris at
boris "at" unsw "dot" edu "dot" au.

Here is the 2007 exam.


MATH1251: Mathematics for Actuarial Studies (2009,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 22.


Material for courses taught in the past

Click here for old lecture notes, problem sets etc concerning the following courses:

  • Higher Algebra: Group and Ring Theory
  • Group theory
  • Homology and homological algebra
  • MATH1141: algebra
  • MATH1241: algebra
  • Algebraic geometry
  • Commutative algebra

    • For talented first year students
    Here's a short parabola article I wrote on quaternions and their role in rotating objects in computer animation. It is aimed at high school students but should have some interesting tidbits for talented MATH1241 students.
    MathWorld has lots of general information about maths.
    Pi in the Sky is a magazine for high school maths enthusiasts and is published by the Pacific Institute for Mathematical Sciences.
    Interactive Mathematics Activities contains lots of interesting tidbits about mathematics from fractals to groups to classical geometry.
    History Topics Index contains fairly comprehensive information about the history of maths.
    Famous Curves Index.

    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

    Steve Ozvatic wrote a thesis on Factorisation theory in a non-commutative algebra.

    Postgraduate Students

    Kenneth Chan
    Hugo Bowne-Anderson
    Boris Lerner



    Return to University of New South Wales School of Mathematics.