Associate Professor Jonathan Kress

Back to

RESEARCH INTERESTS

Mathematical Physics
Superintegrable Systems

Phone

9385 7055

E-mail

j.kress@unsw.edu.au

Location

School of Mathematics and Statistics University of New South Wales SYDNEY NSW 2052 The Red Centre Room 3073

Publications

Books | 2018

Kalnins EG; Kress J; Miller W, 2018, Separation Variables Superintegrability, IOP Publishing Limited, http://iopscience.iop.org/book/978-0-7503-1314-8

Books | 2018

Kalnins EG; Kress JM; Miller W, 2018, Separation of Variables and Superintegrability, IOP Publishing, http://dx.doi.org/10.1088/978-0-7503-1314-8
Journal articles | 2024

Konyaev AY; Kress JM; Matveev VS, 2024, 'When a (1,1)-tensor generates separation of variables of a certain metric', Journal of Geometry and Physics, 195, http://dx.doi.org/10.1016/j.geomphys.2023.105031

Journal articles | 2024

Kress J; Schöbel K; Vollmer A, 2024, 'Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension', Communications in Mathematical Physics, 405, http://dx.doi.org/10.1007/s00220-023-04872-w

Journal articles | 2023

Kress J; Schöbel K; Vollmer A, 2023, 'An Algebraic Geometric Foundation for a Classification of Second-Order Superintegrable Systems in Arbitrary Dimension', Journal of Geometric Analysis, 33, http://dx.doi.org/10.1007/s12220-023-01413-8

Journal articles | 2020

Kress J; Schöbel K; Vollmer A, 2020, 'Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension', , http://arxiv.org/abs/2006.15696v2

Journal articles | 2019

Kress J; Schöbel K, 2019, 'An algebraic geometric classification of superintegrable systems in the Euclidean plane', Journal of Pure and Applied Algebra, 223, pp. 1728 - 1752, http://dx.doi.org/10.1016/j.jpaa.2018.07.005

Journal articles | 2015

Capel JJ; Kress JM; Post S, 2015, 'Invariant Classification and Limits of Maximally Superintegrable Systems in 3D', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 11, http://dx.doi.org/10.3842/SIGMA.2015.038

Journal articles | 2014

Capel JJ; Kress JM, 2014, 'Invariant classification of second-order conformally flat superintegrable systems', Journal of Physics A: Mathematical and Theoretical, 47, http://dx.doi.org/10.1088/1751-8113/47/49/495202

Journal articles | 2013

Kalnins EG; Kress JM; Miller JW, 2013, 'Extended Kepler-Coulomb quantum superintegrable systems in three dimensions', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46, pp. Article 085206 (28pp), http://dx.doi.org/10.1088/1751-8113/46/8/085206

Journal articles | 2011

Kalnins EG; Kress JM; Miller JW; Post S, 2011, 'Laplace-type equations as conformal superintegrable systems', Advances in Applied Mathematics, 46, pp. 396 - 416, http://dx.doi.org/10.1016/j.aam.2009.11.014

Journal articles | 2011

Kalnins EG; Kress JM; Miller JW, 2011, 'A recurrence relation approach to higher order quantum superintegrability', Symmetry, Integrability and Geometry - Methods and Applications, 7, pp. 031 (24pp), http://dx.doi.org/10.3842/SIGMA.2011.031

Journal articles | 2010

Kalnins EG; Kress JM; Miller JW; Nystrom F, 2010, 'Superintegrability and higher order integrals for quantum systems', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43, pp. 265205 (21pp), http://dx.doi.org/10.1088/1751-8113/43/26/265205

Journal articles | 2010

Kalnins EG; Kress JM; Miller JW, 2010, 'Families of classical subgroup separable superintegrable systems', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43, pp. 092001 (8pp), http://dx.doi.org/10.1088/1751-8113/43/9/092001

Journal articles | 2010

Kalnins EG; Kress JM; Miller JW, 2010, 'Tools for verifying classical and quantum superintegrability', Symmetry, Integrability and Geometry - Methods and Applications, 6, pp. 066 (23 pages)

Journal articles | 2010

Kalnins EG; Kress JM; Miller W, 2010, 'Tools for verifying classical and quantum superintegrability', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6, http://dx.doi.org/10.3842/SIGMA.2010.066

Journal articles | 2009

Kalnins EG; Kress JM; Miller W; Post S, 2009, 'Structure theory for second order 2D superintegrable systems with 1-parameter potentials', Symmetry, Integrability and Geometry - Methods and Applications, 5, pp. 1 - 24, http://dx.doi.org/10.3842/SIGMA.2009.008

Journal articles | 2009

Kalnins EG; Kress JM; Miller W; Post S, 2009, 'Structure theory for second order 2D superintegrable systems with 1-parameter potentials', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5, http://dx.doi.org/10.3842/SIGMA.2009.008

Journal articles | 2007

Kalnins EG; Kress JM; Miller JW, 2007, 'Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties', Journal of mathematical physics, 48, pp. 113518-1 - 113518-26, http://dx.doi.org/10.1063/1.2817821

Journal articles | 2007

Kalnins EG; Kress JM; Miller W, 2007, 'Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties', Journal of Physics A: Mathematical and Theoretical, 40, pp. 3399 - 3411, http://dx.doi.org/10.1088/1751-8113/40/13/008

Journal articles | 2007

Kalnins EG; Kress JM; Miller WL; Pogosyan G, 2007, 'Nondegenerate superintegrable systems in n-dimensional Euclidean spaces', Physics of Atomic Nuclei, 70, pp. 545 - 553

Journal articles | 2007

Kalnins EG; Kress JM; Miller WL, 2007, 'Fine structure for 3D second-order superintegrable systems: three-parameter potentials', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40, pp. 5875 - 5892

Journal articles | 2007

Kalnins EG; Kress JM; Miller WL, 2007, 'Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40, pp. 3399 - 3411

Journal articles | 2007

Kress JM, 2007, 'Equivalence of superintegrable systems in two dimensions', Physics of Atomic Nuclei, 70, pp. 560 - 566

Journal articles | 2007

Miller WL; Kalnins EG; Kress JM, 2007, 'Second-order superintegrable quantum systems', Physics of Atomic Nuclei, 70, pp. 576 - 583, http://dx.doi.org/10.1134/S1063778807030192

Journal articles | 2006

Kalnins EG; Kress JM; Miller WL, 2006, 'Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stackel transform and 3D classification theory', Journal of mathematical physics, 47

Journal articles | 2006

Kalnins EG; Kress JM; Miller WL, 2006, 'Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems', Journal of mathematical physics, 47

Journal articles | 2005

Kalnins EG; Kress JM; Miller JW, 2005, 'Jacobi, ellipsoidal coordinates and superintegrable systems', Journal of Nonlinear Mathematical Physics, 12, pp. 209 - 229

Journal articles | 2005

Kalnins EG; Kress JM; Miller JW, 2005, 'Second order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory', Journal of mathematical physics, 46, pp. 53509 - 053537

Journal articles | 2005

Kalnins EG; Kress JM; Miller JW, 2005, 'Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stackel transform', Journal of mathematical physics, 46, pp. 53510 - 053526

Journal articles | 2005

Kalnins EG; Kress JM; Miller JW, 2005, 'Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory', Journal of mathematical physics, 46, pp. 103507 - 103534

Journal articles | 2005

Miller WL; Kalnins EG; Kress JM; Pogosyan G, 2005, 'Infinite-order symmetries for quantum separable systems', Physics of Atomic Nuclei, 68, pp. 1756 - 1763

Journal articles | 2004

Benn IM; Kress JM, 2004, 'First-order Dirac symmetry operators', Classical and Quantum Gravity, 40, pp. 427 - 431

Journal articles | 2003

Kalnins EG; Kress JM; Miller JW; Winternitz P, 2003, 'Superintegrable systems in Darboux spaces', Journal of mathematical physics, 44, pp. 5811 - 5848

Journal articles | 2002

Kalnins EG; Kress JM; Miller W; Pogosyan GS, 2002, 'Complete sets of invariants for dynamical systems that admit a separation of variables', Journal of Mathematical Physics, 43, pp. 3592 - 3609, http://dx.doi.org/10.1063/1.1484540

Journal articles | 2002

Kalnins EG; Kress JM; Winternitz P, 2002, 'Superintegrability in a two-dimensional space of nonconstant curvature', Journal of Mathematical Physics, 43, pp. 970 - 983, http://dx.doi.org/10.1063/1.1429322

Journal articles | 2002

Kress JM; Kalnins EG, 2002, 'Multiseparability and superintegrability in three dimensions', Physics of Atomic Nuclei, 65, pp. 1047 - 1051, http://dx.doi.org/10.1134/1.1490109

Journal articles | 2001

Durrant CJ; Kress JM; Wilson PR, 2001, 'The Evolution of Trailing Plumes from Active Regions', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 201, pp. 57 - 69, http://dx.doi.org/10.1023/A:1010393806958

Journal articles | 2001

Kalnins EG; Kress JM; Pogosyan GS; Miller W, 2001, 'Completeness of superintegrability in two-dimensional constant-curvature spaces', Journal of Physics A: Mathematical and General, 34, pp. 4705 - 4720, http://dx.doi.org/10.1088/0305-4470/34/22/311

Journal articles | 2000

Kress JM; Wilson PR, 2000, 'Simulations of the Polar Field Reversals during Cycle 22', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 194, pp. 1 - 17, http://dx.doi.org/10.1023/A:1005260808022

Journal articles | 2000

Snodgrass HB; Kress JM; Wilson PR, 2000, 'Observations of the Polar Magnetic Fields During the Polarity Reversals of Cycle 22', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 191, pp. 1 - 19, http://dx.doi.org/10.1023/A:1005279508869

Journal articles | 1999

Glass EN; Kress J, 1999, 'Solutions of Penrose's equation', Journal of Mathematical Physics, 40, pp. 309 - 317, http://dx.doi.org/10.1063/1.532773

Journal articles | 1999

Kress JM; Wilson PR, 1999, 'The evolution of isolated active regions', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 189, pp. 147 - 161, http://dx.doi.org/10.1023/A:1005298211915

Journal articles | 1997

Benn IM; Charlton P; Kress J, 1997, 'Debye potentials for Maxwell and Dirac fields from a generalization of the Killing-Yano equation', Journal of Mathematical Physics, 38, pp. 4504 - 4527, http://dx.doi.org/10.1063/1.532140

Journal articles | 1996

Benn IM; Kress J, 1996, 'Force-free fields from Hertz potentials', Journal of Physics A: Mathematical and General, 29, pp. 6295 - 6304, http://dx.doi.org/10.1088/0305-4470/29/19/014
Preprints | 2025

Kress JM; Matveev V, 2025, Self-adjoint quantization of Stäckel integrable systems, http://arxiv.org/abs/2501.18082v2

Preprints | 2024

Gover AR; Kress J; Leistner T, 2024, Conformal Killing tensors and their Killing scales, http://arxiv.org/abs/2406.17212v1

Preprints | 2024

Kress J; Schöbel K; Vollmer A, 2024, Superintegrable systems on conformal surfaces, http://arxiv.org/abs/2403.09191v1

Preprints | 2023

Konyaev AY; Kress JM; Matveev VS, 2023, When a $(1,1)$-tensor generates separation of variables of a certain metric, http://dx.doi.org/10.1016/j.geomphys.2023.105031

Preprints | 2019

Kress J; Schöbel K; Vollmer A, 2019, An Algebraic Geometric Foundation for a Classification of Superintegrable Systems in Arbitrary Dimension, http://dx.doi.org/10.48550/arxiv.1911.11925

Preprints | 2015

Capel JJ; Kress JM; Post S, 2015, Invariant Classification and Limits of Maximally Superintegrable Systems in 3D, http://dx.doi.org/10.48550/arxiv.1501.06601

Preprints | 2014

Capel J; Kress J, 2014, Invariant classification of second-order conformally flat superintegrable systems, http://dx.doi.org/10.48550/arxiv.1406.3136

Preprints | 2012

Kalnins EG; Kress JM; Miller W, 2012, Extended Kepler-Coulomb quantum superintegrable systems in 3 dimensions, http://dx.doi.org/10.48550/arxiv.1210.8004

Preprints | 2012

Kalnins EG; Kress JM; Miller W, 2012, Superintegrability in a non-conformally-flat space, http://dx.doi.org/10.48550/arxiv.1211.1452

Conference Papers | 2011

Kalnins EG; Kress JM; Miller JW, 2011, 'Structure relations for the symmetry algebras of quantum superintegrable systems', in Journal of Physics: Conference series, IOP Publishing, UK, pp. Article 012075 (12pp), presented at 7th International Conference on Quantum Theory and Symmetries, QTS7, Prague, Czech Republic, 07 August 2011 - 13 August 2011, http://dx.doi.org/10.1088/1742-6596/343/1/012075

Preprints | 2010

Kalnins EG; Kress JM; Miller W, 2010, A Recurrence Relation Approach to Higher Order Quantum Superintegrability, http://dx.doi.org/10.48550/arxiv.1011.6548

Preprints | 2010

Kalnins EG; Kress JM; Miller W, 2010, Superintegrability and higher order constants for quantum systems, http://dx.doi.org/10.48550/arxiv.1002.2665

Preprints | 2010

Kalnins EG; Kress JM; Miller W, 2010, Tools for Verifying Classical and Quantum Superintegrability, http://dx.doi.org/10.48550/arxiv.1006.0864

Preprints | 2009

Kalnins EG; Kress JM; Miller W; Post S, 2009, Laplace-type equations as conformal superintegrable systems, http://dx.doi.org/10.48550/arxiv.0908.4316

Preprints | 2009

Kalnins EG; Kress JM; Miller W; Post S, 2009, Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials, http://dx.doi.org/10.48550/arxiv.0901.3081

Preprints | 2009

Kalnins EG; Kress JM; Miller W, 2009, Families of classical subgroup separable superintegrable systems, http://dx.doi.org/10.48550/arxiv.0912.3158

Conference Papers | 2007

Benn IM; Kress JM, 2007, 'Differential forms relating twistors to Dirac fields', in Kowalski O; Demeter K; Krupková O; Slovák J (eds.), Differential forms relating twistors to Dirac fields, World Scientific, Palacky University, Olomouc, Czech Republic, pp. 573 - 580, presented at 10th International Conference on Differential Geometry and its Applications, Palacky University, Olomouc, Czech Republic, 27 August 2007 - 31 August 2007, http://dx.doi.org/10.1142/9789812790613_0047

Preprints | 2007

Kalnins EG; Kress JM; Miller W, 2007, Nondegenerate 3D complex Euclidean superintegrable systems and algebraic varieties, http://dx.doi.org/10.48550/arxiv.0708.3044

Conference Papers | 2006

Kalnins EG; Kress JM; Miller JW, 2006, 'Fine structure for second order superintegrable systems', in Symmetries and Overdetermined Systems of Partial Differential Equations, Minneapolis, Minnesita, USA, presented at Symmetries and Overdetermined Systems of Partial Differential Equations, Minneapolis, Minnesita, USA, 17 July 2006 - 04 August 2006

Conference Papers | 2004

Benn IM; Kress JM, 2004, 'Symmetry operators for the Dirac and Hodge-de`Rham equations', in 9th International Conference on Differential Geometry and its Applications, 9th International Conference on Differential Geometry and its Applications, Prague, Czech Republic, presented at 9th International Conference on Differential Geometry and its Applications, Prague, Czech Republic, 30 August 2004 - 03 September 2004

Preprints | 2003

Kalnins EG; Kress JM; Miller W; Winternitz P, 2003, Superintegrable Systems in Darboux spaces, http://dx.doi.org/10.48550/arxiv.math-ph/0307039

Preprints | 2001

Kalnins EG; Kress JM; Pogosyan GS; Miller W, 2001, Completeness of superintegrability in two-dimensional constant curvature spaces, http://dx.doi.org/10.48550/arxiv.math-ph/0102006

Preprints | 2001

Kalnins EG; Kress JM; Winternitz P, 2001, Superintegrability in a two-dimensional space of non-constant curvature, http://dx.doi.org/10.48550/arxiv.math-ph/0108015

Preprints | 1998

Glass EN; Kress J, 1998, Solutions of Penrose's Equation, http://dx.doi.org/10.48550/arxiv.gr-qc/9809074

Preprints | 1996

Benn IM; Charlton P; Kress J, 1996, Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation, http://dx.doi.org/10.48550/arxiv.gr-qc/9610037

Follow

Associate Professor Jonathan Kress