My Expertise
Non-commutative algebraic geometry, non-commutative surfaces, moduli spaces in non-commutative algebra, the McKay correspondence and non-commutative rings arising from projective geometry.
Fields of Research (FoR)
Algebraic and Differential Geometry, Pure Mathematics, Group Theory and Generalisations, Category Theory, K Theory, Homological AlgebraSEO tags
Biography
INTRODUCTION
A/Prof. Daniel Chan is an associate professor and Head of the Department of Pure Mathematics.
RESEARCH INTERESTS
He works in the area of non-commutative algebraic geometry, an exciting new field where sophisticated techniques from algebraic geometry have been imported to study non-commutative algebras. Much of his work has focussed on studying orders on projective surfaces which can be studied via a non-commutative adaptation of...view more
INTRODUCTION
A/Prof. Daniel Chan is an associate professor and Head of the Department of Pure Mathematics.
RESEARCH INTERESTS
He works in the area of non-commutative algebraic geometry, an exciting new field where sophisticated techniques from algebraic geometry have been imported to study non-commutative algebras. Much of his work has focussed on studying orders on projective surfaces which can be studied via a non-commutative adaptation of Mori's minimal model program. Other interests include finite dimensional algebras, non-commutative surfaces, moduli spaces in non-commutative algebra, the McKay correspondence and non-commutative rings arising from projective geometry such as the twisted homogeneous co-ordinate ring.
He is part of the Geometry group and the Algebra and Number Theory group.
ADMINISTRATIVE DUTIES
He is also an associate editor for the Journal of the Australian Mathematical Society.
My Qualifications
PhD 1999, Massachusetts Institute of Technology.
BE in Electrical Engineering 1994, UNSW
BA (Hons) in Mathematics 1994, UNSW
Location
University of New South Wales
Sydney NSW 2052
The Red Centre
Room 4104
Contact
Publications
ORCID as entered in ROS
https://orcid.org/0000-0002-5546-4828
Research Activities
Non-commutative algebra is a rich, classical subject, ubiquitous in mathematics, since non-commutative algebras arise whenever you have linear operators such as differentiation or rotation.