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: T4-5 |
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)
Modular realisations of derived equivalences and
representation theory, (University of Sydney 2019)
Diagrams of linear maps and moduli spaces
(Macquarie University Colloquium 2019)
Kenneth Chan (2010)
wrote a thesis entitled
Resolving singularities of orders on surfaces.
He had postdocs at the University of Washington and the Mathematical Sciences Research Institute, Berkeley.
Hugo Bowne-Anderson (2011)
wrote a thesis entitled
Explicit construction of orders on surfaces.
He had postdocs at Max Planck Institute, Dresden and 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 with me at UNSW.
Sean Lynch is studying zeta functions in noncommutative algebra.
Here is the
course outline
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
Riemann Surface 1
Riemann Surface 2
Riemann Surface 3
Elliptic Curves
The problem sets are here.
Problem Set 0
Problem Set 1
Problem Set 2
Problem Set 3
Problem Set 4
Problem Set 5
Problem Set 6
Problem Set 7
Problem Set 8
The assignment is due in the last lecture of week 3.
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
Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5 Problem Set Cohomology Problem Set Graphs Problem Set Infinite
Here's the
course handout
Some extra lecture notes regarding the Lefschetz fixed point formula and Weil conjectures.
Here's Problem Set 1 Problem Set 2 Problem Set 3 Problem Set 4 Problem Set 5 Problem Set 6
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 is the 2012 exam . 2013 exam.
Click here for old lecture notes, problem sets etc concerning the following courses: