Areas of research: complex analysis, complex geometry, pluripotential theory, homotopical algebra
I work in complex analysis and geometry, a major branch of modern mathematics with deep classical roots and applications in physics and engineering. It deals with the analysis of holomorphic functions ("calculus with complex numbers") and the geometry of the spaces on which they live. Complex analysis has always been an interdisciplinary subject, and this is more apparent today than ever before. It interacts strongly with algebraic geometry, algebraic topology, differential geometry, dynamical systems, partial differential equations, potential theory, and representation theory, to name just those areas that my work has involved.
Education
Ph.D., University of Chicago, 1992. Advisor: R. Narasimhan
M.S., University of Chicago, 1988
B.S., University of Iceland, 1987
Employment
Professor, University of Adelaide, 2015-
Associate Professor, University of Adelaide, 2007-2014
Senior Lecturer, University of Adelaide, 2006
Professor, University of Western Ontario, 2006-2007 (on leave)
Associate Professor, University of Western Ontario, 1999-2006
Assistant Professor, University of Western Ontario, 1995-1999
Visiting Assistant Professor, Purdue University, West Lafayette, 1993-1995
Visiting Assistant Professor, University of Michigan, Ann Arbor, 1992-1993
Service (major roles)
Vice-President, Australian Mathematical Society, 2023-
Chair, Australian Council of Heads of Mathematical Sciences, 2022-2024
Associate Editor, Journal of the Australian Mathematical Society, 2014-
Member, Council of the Australian Mathematical Society, 2010-2013
Director, AMSI Summer School, 2011
Member, Research Committee, Canadian Mathematical Society, 2002-2006; Chair
2005
Chair, Doctoral Prize Selection Committee, Canadian Mathematical Society, 2004
Organization of conferences and workshops
Invited talks since 1997
Complex Analysis, Geometry, and Dynamics III (international conference),
Portoroz, Slovenia
Complex Analysis Seminar, University of Ljubljana, Slovenia
Seminario de Geometria, Instituto de Matematicas, University of Granada, Spain
Topology Session, Annual Meeting of the Australian Mathematical Society,
Brisbane
Seminar on Several Complex Variables and Complex Geometry, Institute of
Mathematics, Chinese Academy of Sciences
29th Nordic Congress of Mathematicians, Aalborg, Denmark (plenary lecture)
Conference on Oka Theory and Complex Geometry, Nordfjordeid, Norway
Workshop on Complex Analysis and Geometry (virtual, based in Russia)
Hayama Symposium on Complex Analysis in Several Variables XXII (virtual, based
in Japan)
Keynote talk, Session on Complex Analysis and Complex Geometry, Annual
Meeting of the Australian Mathematical Society (virtual)
Complex Analysis Seminar, University of Rome "Tor Vergata", Italy (2 talks)
Geometry Seminar, University of Granada, Spain
Mathematics Colloquium, University of Iceland
Workshop on Holomorphic Maps, Pluripotentials and Complex Geometry, Shizuoka,
Japan (2 talks)
Conference on Mapping Problems and Complex Manifolds in Projective Spaces,
University of Oslo, Norway
Conference on Stein Manifolds and Holomorphic Mappings, University of
Ljubljana, Slovenia
Pure Mathematics Seminar, School of Mathematics and Statistics, University of
Melbourne, Australia
Colloquium, School of Mathematical and Physical Sciences, University of
Newcastle, Australia
Conference on Complex Geometry, Dynamical Systems and Foliation Theory,
Institute for Mathematical Sciences, National University of Singapore
Analysis, PDE, and Geometry Seminar, Monash University, Melbourne
Complex Analysis Seminar, University of Rome "Tor Vergata", Italy
Geometry and Topology Session, Annual Meeting of the Australian Mathematical Society,
Adelaide
A series of six lectures, International Centre for Theoretical Physics,
Trieste, Italy
Seminar, National University of Singapore
Nordan 2015, the 19th Nordic Complex Analysis Conference, Reykjavik, Iceland
Workshop on Geometric Methods of Complex Analysis, Oberwolfach, Germany
Complex Analysis Seminar, University of Ljubljana, Slovenia
A series of eight lectures, Institute of Mathematics, Chinese Academy of
Sciences, Beijing
Symposium on Complex Analysis and Complex Dynamics, Tsinghua Sanya
International Mathematics Forum, Sanya, China
Geometric Analysis Session, Annual Meeting of the Australian Mathematical
Society, Sydney
Algebra-Geometry-Topology Seminar, University of Melbourne
Workshop on Algebraic Geometry and Related Fields, Australian National
University, Canberra
KAWA 4 - Workshop on Complex Analysis, Albi, France
International Conference on Complex Analysis, Ljubljana, Slovenia
Department of Mathematics Colloquium, Syracuse University
Complex Analysis Seminar, University of Ljubljana, Slovenia
Mathematics Colloquium, University of Ljubljana, Slovenia
Geometric Analysis Session, Annual Meeting of the Australian Mathematical
Society, Brisbane
Geometry and Topology Session, Annual Meeting of the Australian Mathematical
Society, Brisbane
Algebra-Geometry-Topology Seminar, University of Melbourne
Mathematics Colloquium, University of Iceland
Korea-Australia Analysis Forum, Busan, Korea
Analysis and Geometry Seminar, University of Ljubljana, Slovenia
Mathematisches Kolloquium, Universität Bern, Switzerland
Workshop on Complex Geometry, Universität Bern, Switzerland
National Research Symposium in Several Complex Variables and Geometry,
Australian National University, Canberra
Workshop on Recent Developments in Non-Kähler Geometry, Hokkaido
University, Sapporo
Colloquium, Mathematical Sciences Institute, Australian National University,
Canberra
Geometry Session, Annual Meeting of the Australian Mathematical
Society, Melbourne
8th International Conference on Several Complex Variables, Gyeong-Ju, Korea
Conference on Complex Function Theory and Geometry, Banach Centre, Warsaw
Séminaire Analyse et Géométrie Complexes,
Université Paul Sabatier, Toulouse
Public Lecture, Icelandic Mathematical Society
Mathematics Colloquium, University of Iceland
8th Pacific Rim Geometry Conference, Murramarang, New South Wales,
Australia
AMSI Workshop on Several Complex Variables and CR Geometry, University
of New England, Australia
Several Complex Variables Seminar, University of Michigan, Ann Arbor
International Conference on Several Complex Variables in Memory of Anatoly
Vitushkin, Steklov Institute, Moscow
Workshop on Analytic and Algebraic Methods in Complex and CR Geometry,
BIRS, Banff
Mathematics Colloquium, University of Iceland
Complex Variables Session, Canadian Mathematical Society Summer Meeting,
Waterloo
Joint Colloquium, Sydney University and University of New South Wales,
Australia
Algebra and Topology Seminar, Australian National University
Department of Pure Mathematics Colloquium, University of Waterloo
Geometry and Topology Seminar, CIRGET, Centre de recherches mathematiques,
Montreal
Conference on Complex Analysis - Journees Complexes du Nord,
University of Iceland
Conference on Homotopy Theory and Its Applications, London, Ontario
Algebra Seminar, Australian National University
Differential Geometry Seminar, University of Adelaide, Australia
Seminar, University of Auckland, New Zealand
Mathematics Colloquium, University of Iceland
Analysis Session, Canadian Mathematical Society Summer Meeting, Quebec
Analysis Seminar, University of California, San Diego
Mathematics Colloquium, University of Iceland
Several Complex Variables Seminar, University of Michigan, Ann Arbor
Geometric Analysis Seminar, Purdue University, West Lafayette
Department of Mathematics and Statistics Colloquium, University of Victoria
Department of Mathematics and Statistics Colloquium, University of Calgary
Nordan 2001, the 5th Nordic Complex Analysis Meeting, Oslo, Norway
Mathematics Colloquium, University of Iceland
Several Complex Variables Seminar, University of Michigan, Ann Arbor
Department of Mathematics and Statistics Colloquium, McMaster University
Analysis Seminar, University of Wisconsin, Madison
Department of Mathematics Colloquium, Syracuse University
PhD Euroconference on Complex Analysis and Holomorphic Dynamics, Platja d'Aro,
Spain
American Mathematical Society Regional Meeting, University of Notre Dame
Complex Analysis Seminar, Mid Sweden University, Sundsvall, Sweden
Pluricomplex Seminar, Uppsala University, Sweden
Mathematics Colloquium, University of Iceland
American Mathematical Society Regional Meeting, SUNY Buffalo
Midwest Several Complex Variables Seminar, Fields Institute, Toronto
Several Complex Variables Seminar, University of Michigan, Ann Arbor
Icelandic Mathematical Society Colloquium, University of Iceland
Workshop on Pluripotential Theory, Mid Sweden University, Sundsvall,
Sweden
Meeting on Fundamental Groups in Geometry, Oberwolfach, Germany
Department of Mathematics Colloquium, Lund University, Sweden
Complex Analysis Seminar, Chalmers Institute of Technology and Gothenburg
University, Sweden
Topology/Geometry Seminar, McMaster University
Symposium in honour of Sigurdur Helgason, University of Iceland
Department of Mathematics and Statistics Colloquium, University of
Calgary
Complex Analysis Seminar, University of Toulouse, France
Complex Analysis Seminar, University of Nancy, France
Analysis Seminar, University of Lille, France
Ontario Topology Seminar, Fields Institute, Toronto
The 1st Nordic Complex Analysis Meeting, Trosa, Sweden
Pluricomplex Seminar, Uppsala University, Sweden
Joint Analysis Seminar, Stockholm University and Royal Institute of
Technology, Sweden
Algebraic Geometry Seminar, University of Toronto