By Associate Professor Jonathan Kress

Journal articles

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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

Miller WL; Kalnins EG; Kress JM, 2007, 'Second-order superintegrable quantum systems', Physics of Atomic Nuclei, 70, pp. 576 - 583

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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