Daniel Chan

Professor Daniel Chan is an Associate Professor and Head of the Department of Pure Mathematics at the School of Mathematics & Statistics, University of New South Wales (UNSW). He is actively engaged in research and academic leadership within the university's mathematical community.

Daniel Chan earned his PhD in 1999 from the Massachusetts Institute of Technology. Prior to that, he completed dual undergraduate degrees at UNSW in 1994 - a BE in Electrical Engineering and a BA (Hons) in Mathematics.

Dr. Chan's primary research focus is in non-commutative algebraic geometry, an innovative field that applies sophisticated algebraic geometry techniques to study non-commutative algebras. His work particularly emphasizes orders on projective surfaces through a non-commutative adaptation of Mori's minimal model program. Additional research interests include:

• Finite dimensional algebras
• Non-commutative surfaces
• Moduli spaces in non-commutative algebra
• The McKay correspondence
• Non-commutative rings arising from projective geometry, such as twisted homogeneous co-ordinate rings

His recent publications demonstrate a consistent focus on extending classical algebraic geometry concepts to non-commutative settings. Key trends include applying the minimal model program to arithmetic surfaces with Brauer classes, studying terminal orders, exploring non-commutative linear systems and elliptic curves, and investigating moduli spaces of orbifold curves. His work bridges abstract algebra with geometric intuition, creating new mathematical frameworks for understanding non-commutative structures.

Dr. Chan serves as an associate editor for the Journal of the Australian Mathematical Society, contributing to the academic community through editorial work. While specific awards aren't listed in the provided information, his extensive publication record in prestigious journals indicates recognition within the mathematical community.

As part of UNSW's academic structure, Dr. Chan is affiliated with both the Geometry group and the Algebra and Number Theory group. His role as Head of the Department of Pure Mathematics places him at the center of academic leadership for pure mathematics research and education at UNSW. His collaborative work with researchers like Colin Ingalls, Adam Nyman, and others demonstrates active participation in international mathematical research networks.