A/Prof Daniel ChanAssociate ProfessorHead of Pure Mathematics School of Mathematics and Statistics 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: TBA |
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)
Singularities in the Mori program for orders
[handout]
(Simons Center for Geometry and Physics 2011)
Algebraic stacks in the representation
theory of finite dimensional algebras (Casa Matematica Oaxaca 2015)
Bimodule species and non-commutative
projective lines (Victorian Algebra Conference, UWS 2015)
Moduli stacks of Serre stable representations,
ANU 2016)
Axioms for noncommutative smooth proper surfaces
, (Clay Mathematics Institute, Oxford 2016)
Kenneth Chan (2010)
wrote a thesis entitled
Resolving singularities of orders on surfaces.
He is currently a postdoc at the University of Washington.
Hugo Bowne-Anderson (2011)
wrote a thesis entitled
Explicit construction of orders on surfaces.
He is currently at Yale University.
Boris Lerner (2012)
wrote a thesis entitled
Line bundles and curves on a del Pezzo order. He did a postdoc at Nagoya University and is now doing a postdoc with me.
Some housekeeping for lecture 1.
You can print off the lecture notes here: Chapter 6 Chapter 7 Chapter 8 Chapter 9
I will use Chapter 6 Chapter 7 Chapter 8 Chapter 9 We will also need the standard normal table.
Last year's exam.
Here are the course outlines.
You can print off the lecture notes here: 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 Graphs 1 Graphs 2 Graphs 3 Infinite 1 Infinite 2 Infinite 3 Galois Cohomology 1 Galois Cohomology 2 Galois Cohomology 3 Galois Cohomology 4 Ramification 1 Ramification 2
Here's the
course handout
Here's Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5 Problem Set 6
Assignment 1 is due in the wednesday lecture of week 5. Assignment 2 is due in the wednesday lecture of week 10.
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.
Here's the
course handout
Joel Beeren took the course in 2012 and typed up notes which he has kindly agreed to let me post.
Here's Problem Set 0 Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5
Here is the 2012 exam . 2013 exam.
Here's the
course handout
Here's the
course outlines
Lecture 0
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 34
Lecture 35
Lecture 36
Lecture 37
Lecture 38
Lecture 39
Lecture 40
Lecture 41
Lecture 42
Lecture 43
Lecture 44
Here are the problem sets.
Problem Set 1
Problem Set 2
Problem Set 3
Problem Set 4
Problem Set 5
Problem Set 6
Problem Set 7
Problem Set 8
Problem Set 9
Problem Set 10
You will find the class tests will cover fairly standard material and is very similar to the problem sets. Here are last year's test 1 and test 2
Here is this year's test 1 and solutions.
Here is the 2012 exam and an exam check list.
Click here for old lecture notes, problem sets etc concerning the following courses: