Dr Nicholas Buchdahl

Reader in Pure Mathematics

Office: 343 | Telephone: +61 8 8303 4165

Academic duties

Responsibility
Head of Discipline of Pure Mathematics
Director of the Centre for Quantification and Management of Risk

Teaching duties

Title	Level	Semester
Differential Geometry	4	1
Mathematics IB	1	1 or 2
Mathematics for Information Technology I	1	2
Complex Analysis III	3	2

Honours supervision

Thesis title	Student	Graduation
On compact, simply connected, smooth four-manifolds with definite intersection form	Edward Ross	2009
The classification of surfaces	Mark Bott	2008
	Patrick Korbel

Postgraduate supervision

Thesis title	Student	Graduation
Regularized equivariant Euler classes and gamma functions	Rongmin Lu	2008
Invariant bilinear differential pairings on parabolic geometrics	Jens Kroeske	2008
Elliptic complex manifolds, acyclic embeddings and groups of automorphisms	Tyson Ritter

Research interests

Research interest	Group
Complex analysis	Geometry
Complex analytic and algebraic geometry	Geometry
Differential geometry	Geometry
Gauge theory	Geometry
Mathematical physics	Geometry
Complex analysis	Mathematical Physics
Complex analytic and algebraic geometry	Mathematical Physics
Differential geometry	Mathematical Physics
Gauge theory	Mathematical Physics
Mathematical physics	Mathematical Physics

Research seminars

Title	Series
Classification and compact complex manifolds I	Differential Geometry Seminar
Classification and compact complex manifolds II	Differential Geometry Seminar
Moduli spaces of stable holomorphic vector bundles	Differential Geometry Seminar

Research grants

Grant title	Funding Agency
Classification and Invariants in Complex Differential Geometry	ARC

Selected publications

Publications
Algebraic deformations of compact kahler surfaces II Buchdahl, Nicholas, Mathematische Zeitschrift 258 (493–498) 2008
Algebraic deformations of compact Khler surfaces Buchdahl, Nicholas, Mathematische Zeitschrift 253 (453–459) 2006
Monads and bundles on rational surfaces Buchdahl, Nicholas, Rocky Mountain Journal of Mathematics 34 (513–540) 2004
Compact Khler surfaces with trivial canonical bundle Buchdahl, Nicholas, Annals of Global Analysis and Geometry 23 (189–204) 2003
A Nakai-Moishezon criterion for non-Khler surfaces Buchdahl, Nicholas, Annales de L Institut Fourier 50 (1533–1538) 2000

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