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
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: