Emeritus Professor Ernie Kalnins

Emeritus Professor (Mathematics)

Qualifications: BSc(Hons) Cant MSc PhD W Ont FRSNZ

Contact Details

Room: G.B.18
Phone: +64 7 838 4466
Extension: 8333

Research Interests

Applied group theory; symmetry properties of partial differential equations; relativity; special functions; quantum groups; black hole perturbations; geodesic geometry.

Recent Publications

  • Berntson, B. K., Kalnins, E. G., & W. Miller, J. (2020). Toward classification of 2nd order superintegrable systems in 3 dimensional conformally flat spaces with functionally linearly dependent symmetry operators. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16, 1-33. doi:10.3842/sigma.2020.135

  • Kalnins, E. G., Kress, J. M., & Miller Jr, W. (2018). Separation of variables and superintegrability: the symmetry of solvable systems. IOP Publishing. doi:10.1088/978-0-7503-1314-8

  • Escobar-Ruiz, M. A., Kalnins, E. G., & Miller, W. (2017). Separation equations for 2D superintegrable systems on constant curvature spaces. Journal of Physics A: Mathematical and Theoretical, 50(38), 385202. doi:10.1088/1751-8121/aa8489 Open Access version:

  • Escobar Ruiz, M. A., Kalnins, E. G., Miller, W., & Subag, E. (2017). Bôcher and abstract contractions of 2nd order quadratic algebras. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13, 38 pages. doi:10.3842/SIGMA.2017.013 Open Access version:

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