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

Publications - 2009

Articles in Refereed Journals

Kalnins, E.G., Kress, J.M., Miller, W. Jr. and Post, S. (2009) Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials SIGMA 5, 008, 24pgs.

Kalnins, E.G., Miller, W. Jr and Post, S. (2009) Models of Quadratic Quantum Algebras and Their Relation to Classical Superintegrable Systems Physics of Atomic Nuclei 72, No. 5, 801.

Publications - 2008

Articles in Refereed Journals

Kalnins, E.G., Miller, W. Jr and Post, S. (2008) Quantum and classical models for quadratic algebras associated with second order superintegrable systems SIGMA 4.

Books

Slezakova, Gabriela and Kalnins, Ernie (2008) Geodesic Gemometry of Black Holes VDM Verlag, Dr Muller Aktiengesellschaft & Co. KG

Publications - 2007

Articles in Refereed Journals

Kalnins, E.G. and Kress, J.M. (2007) Fine structure for 3D second order superintegrable systems: 3-parameter potentials J. Phys. A Math. Theor. 40, 5875-5892.

Kalnins, E.G. and Kress, J.M. (2007) Non-degenerate 2D complex Euclidean superintegrable systems and algebraic varieties J. Phys. A Math. Theor. 40, 3399-3411.

Kalnins, E.G. and Pogosyan, G.S. (2007) Exact and quasi-exact solvability of second order superintegrable quantum systems. II. Connection with separation of variables J. Math. Phys. (to appear).