Curriculum Vitae

Personal Details

	name:	Jonathan Michael Kress
	date of birth:	14 January 1968
	citizenship:	Australian and British
	address:	School of Mathematics and Statistics The University of New South Wales Sydney 2052, Australia
	telephone:	+61 2 9385 7078
	facsimile:	+61 2 9385 7123
	email:	j.kress@unsw.edu.au
	web:	http://profiles.unsw.edu.au/maths/jkress1

Education

The University of Newcastle

	degree:	Ph. D. (mathematics)
	conferred:	June 1998
	supervisors:	Drs. I. M. Benn and W. P. Wood
	thesis title:	Generalised Killing-Yano Tensors: Applications to Electrodynamics

The University of Adelaide

	degree:	B. Sc. (Hons.) Class IIA,
	conferred:	May 1991
	supervisor:	Prof. P. C. W. Davies
	thesis title:	Cosmic Strings

Referees

	Prof. W. Miller, Jr. School of Mathematics 513 Vincent Hall, 206 Church St. SE University of Minnesota Minneapolis, MN 55455 USA tel: +1 612 624 7379 fax: +1 612 626 7370 email: miller@ima.umn.edu	Prof. E. G. Kalnins Department of Mathematics, University of Waikato, Private Bag 3105 Hamilton, New Zealand tel: +64 7 838 4713 fax: +64 7 838 4666 email: e.kalnins@waikato.ac.nz

	Dr. D. Tacon School of Mathematics University of New South Wales, Sydney 2052, Australia tel: +61 2 9385 7055 fax: +61 2 9385 7123 email: D.Tacon@unsw.edu.au	A. Prof. R. Womersley School of Mathematics University of New South Wales, Sydney 2052, Australia tel: +61 2 9385 7043 fax: +61 2 9385 7123 email: R.Womersley@unsw.edu.au

Jonathan Kress

Curriculum Vitæ

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Employment History

The University of New South Wales
2005-	School of Mathematics -- Lecturer
		Lecturer in the School of Mathematics at UNSW. Design and administration of the School's WebCT Vista courses and templates. Web master for session 2 of 2005. Lectured MATH1011, MATH1131, MATH1231, MATH2011 and MATH2400. Tutored MATH1031, MATH1081, MATH1090, MATH1131, MATH1231, MATH2011 and MATH2400. Member of the School's computing committee. Extended the WebCT based teaching of Maple developed during my ITET fellowship to MATH1011 and MATH1131. Supervised a vacation scholar.
2001-2004	School of Mathematics -- Associate Lecturer
		Associate Lecturer in the School of Mathematics at UNSW. ITET fellow in session 2 of 2003. For my project, I developed some worksheets and a WebCT quiz to teach the use of a computer algebra package (Maple) to Mathematics For Life Sciences students. Lecturer-in-charge of first year computing for session 2 2004. Member of the School Standing Committee in 2004. Lectured MATH1131, MATH1231 and MATH2400. Tutored MATH1011, MATH1031, MATH1131, MATH1141, MATH1151, MATH1231, MATH1251, MATH2019, MATH2020, MATH2029, MATH2039 and MATH2400. Organised tutorials, and set test and exams for a number of the courses.
The University of Waikato
1999-2001	Department of Mathematics -- Postdoctoral Research Fellow
		Postdoctoral research fellow working with Prof. E. G. Kalnins on `superintegrability and separation of variables' and `black hole perturbations'.
The University of Sydney
1998-1999	School of Mathematics and Statistics -- Associate Lecturer (0.5)
		I lectured and helped with the administration of the large first and second year units, MATH 1001 and MATH 2005, which I also taught at the Summer School. I supervised a vacation scholarship student, helped develop the teaching component of the school's web site and was a local organiser of (ACGRG2).
1998-1999	School of Mathematics and Statistics -- Research Assistant (0.5)
		I held a half-time research assistant position, working with Prof. P. R. Wilson and A. Prof. C. D. Durrant on numerical simulations of solar magnetic fields.
The University of Newcastle
1997	School of Science and Technology, Central Coast Campus -- Associate Lecturer (cas.)
		Lectured first year courses at the university's Central Coast Campus and helped with the Central Coast Mathematics Enrichment Group for high school students.
1997	Centre for the Advancement of Learning and Teaching -- Associate Lecturer (0.2)
		For one day a week, in the `Learning Skills Group', I provided drop-in assistance for mathematical and statistical problems for students throughout the university.
1993-1997	Department of Mathematics -- Tutor (casual)
		Tutored most of the department's first and second year courses.
The University of Adelaide
1990-1992	Departments of Physics & Mathematics -- Tutor (casual)
		Tutored and demonstrated in a range of courses in physics and mathematics. Lab demonstrator for the Malaysian students bridging course.

Jonathan Kress

Curriculum Vitæ

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Conference Presentations

	2006	Invited to the IMA summer program in Symmetries and Overdetermined Systems of Partial Differential Equations.
	2005	Presented at the Second International Workshop on Superintegrable Systems in Classical and Quantum Mechanics.
	2003	Presented at ICIAM 2003.

Grants and Awards

	2005	UNSW Faculty Research Grant Program, "Nonlinear algebras in classical and quantum superintegrable systems" - $7000
	2004	UNSW Faculty Research Grant Program, "Closure of Symmetry Algebras in Superintegrable Systems" - $7000
	2003	UNSW Fellowship in Innovative Teaching and Educational Technology
	2003	UNSW Faculty Research Grant Program, "Quadratic Algebras and superintegrable systems" - $5000
	1994-1996	University of Newcastle Postgraduate Research Award - $15000 per annum

Research Interests

Superintergrable Systems
Many classical Hamiltonian systems possess more constants of the motion than are required for integrability. Such systems are called superintegrable and examples of these can be found amoungst important phyical systems such as the Kepler problem and harmonic oscillator. Finding new examples of and investigating the algebraic properties of such systems, and their quantum counterparts, has been the main focus of my research during the last few of years.

Differential Geometry and Symmetries of Wave Equations
In a rotating black hole space-time, the massless Dirac and Maxwell equations can be reduced to scalar equations and solved by separation of variables. This remarkable result can be understood in terms of symmetries of the equations resulting from the existence of a Killing-Yano tensor. Solutions to the metric perturbation equations of these space-times can also be found by similar techniques and are of importance to the emerging field of gravity wave astronomy, however, a similar geometrical understanding is lacking. My current research in this area aims to unify and extend these symmetry techniques.

Jonathan Kress

Curriculum Vitæ

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Publications

21.	Second order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems. E. G. Kalnins, J. M. Kress and W. Miller Jr. J. Math. Phys. 47 (2006) 093501.
20.	Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stackel transform and 3D classification theory. E. G. Kalnins, J. M. Kress and W. Miller Jr. J. Math. Phys. 47 (2006) 043514.
19.	Symmetry Operators for the Dirac and Hodge-deRham Equations. I. M. Benn and J. M. Kress. In 9th International Conference on Differential Geometry and its Applications, Czech Republic. Charles University in Prague, Aug 30 - Sept 3, 2004, (2005) 421-430.
18.	Infinite-order symmetries for quantum separable systems. W. Miller, E. G. Kalnins, J. M. Kress and G. Pogosyan. Phys. Atomic Nuclei 68 (2005) 1756-1763.
17.	Second-order superintegrable systems in conformally flat spaces. III. 3D classical structure theory. E. G. Kalnins, J. M. Kress and W. Miller Jr. J. Math. Phys. 46 (2005) 103507.
16.	Second-order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform. E. G. Kalnins, J. M. Kress and W. Miller Jr. J. Math. Phys. 46 (2005) 053510.
15.	Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory. E. G. Kalnins, J. M. Kress and W. Miller Jr. J. Math. Phys. 46 (2005) 053509.
14.	Jacobi, Ellipsoidal Coordinates and Superintegrable Systems. E. G. Kalnins, J. M. Kress and W. Miller Jr. J. Nonlin. Math. Phys. 12 (2005) 209-229.
13.	First-Order Dirac Symmetry Operators. I. M. Benn and J. M. Kress. Class. Quantum Grav. 21 (2004) 427-431.
12.	Superintegrable Systems in Darboux Spaces. E. G. Kalnins, J. M. Kress, W. Miller Jr. and P. Winternitz. J. Math. Phys. 44 (2003) 5811-5848.
11.	Multiseparability and Superintegrability in Three Dimensions. J. M. Kress and E. G. Kalnins. Phys. Atomic Nuclei 65 (2002) 1047-1051.
10.	Complete sets of invariants for dynamical systems that admit a separation of variables E. G. Kalnins, J. M. Kress, W. Miller Jr. and G S Pogosyan. J. Math. Phys. 43 (2002) 3592-3609.
9.	Superintegrability in a two-dimensional space of non-constant curvature E. G. Kalnins, J. M. Kress and P. Winternitz. J. Math. Phys. 43 (2002) 970-983.
8.	The Evolution of Trailing Plumes from Active Regions. C. J. Durrant, J. M. Kress and P. R. Wilson. Sol. Phys. 201* (2001) 57-69.*
7.	Completeness of Superintegrability in Two-Dimensional Constant-Curvature Spaces. E. G. Kalnins, J. M. Kress, G. S. Pogosyan and W. Miller Jr. J. Phys. A: Math. Gen. 34 (2001) 4705-4720.
6.	Simulations of the Polar Field Reversals during Cycle 22. H. B. Snodgrass, J. M. Kress and P. R. Wilson. Sol. Phys. 194* (2000) 1-17.*
5.	Observations of the Polar Field Reversals during Cycle 22. H. B. Snodgrass, J. M. Kress and P. R. Wilson. Sol. Phys. 191* (2000) 1-19.*
4.	Evolution of Isolated Active Regions. J. M. Kress and P. R. Wilson. Sol. Phys. 189* (1999) 147-161.*
3.	Solutions of Penrose's equation. E. N. Glass and Jonathan Kress. J. Math. Phys. 40 (1999) 309-317.
2.	Debye potentials for Maxwell and Dirac fields from a generalization of the Killing-Yano equation. I. M. Benn, Philip Charlton and Jonathan Kress. J. Math. Phys. 38 (1997) 4504-4527.
1.	Force-free fields from Hertz potentials. I. M. Benn and Jonathan Kress. J. Phys. A: Math. Gen. 29 (1996) 6295-6304.