Select Publications
Preprints
2023, When a $(1,1)$-tensor generates separation of variables of a certain metric, http://dx.doi.org/10.1016/j.geomphys.2023.105031
,2019, An Algebraic Geometric Foundation for a Classification of Superintegrable Systems in Arbitrary Dimension, http://dx.doi.org/10.48550/arxiv.1911.11925
,2016, An algebraic geometric classification of superintegrable systems in the Euclidean plane, http://dx.doi.org/10.48550/arxiv.1602.07890
,2015, Invariant Classification and Limits of Maximally Superintegrable Systems in 3D, http://dx.doi.org/10.48550/arxiv.1501.06601
,2014, Invariant classification of second-order conformally flat superintegrable systems, http://dx.doi.org/10.48550/arxiv.1406.3136
,2012, Superintegrability in a non-conformally-flat space, http://dx.doi.org/10.48550/arxiv.1211.1452
,2012, Extended Kepler-Coulomb quantum superintegrable systems in 3 dimensions, http://dx.doi.org/10.48550/arxiv.1210.8004
,2010, A Recurrence Relation Approach to Higher Order Quantum Superintegrability, http://dx.doi.org/10.48550/arxiv.1011.6548
,2010, Tools for Verifying Classical and Quantum Superintegrability, http://dx.doi.org/10.48550/arxiv.1006.0864
,2010, Superintegrability and higher order constants for quantum systems, http://dx.doi.org/10.48550/arxiv.1002.2665
,2009, Families of classical subgroup separable superintegrable systems, http://dx.doi.org/10.48550/arxiv.0912.3158
,2009, Laplace-type equations as conformal superintegrable systems, http://dx.doi.org/10.48550/arxiv.0908.4316
,2009, Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials, http://dx.doi.org/10.48550/arxiv.0901.3081
,2007, Nondegenerate 3D complex Euclidean superintegrable systems and algebraic varieties, http://dx.doi.org/10.48550/arxiv.0708.3044
,2003, Superintegrable Systems in Darboux spaces, http://dx.doi.org/10.48550/arxiv.math-ph/0307039
,2001, Superintegrability in a two-dimensional space of non-constant curvature, http://dx.doi.org/10.48550/arxiv.math-ph/0108015
,2001, Completeness of superintegrability in two-dimensional constant curvature spaces, http://dx.doi.org/10.48550/arxiv.math-ph/0102006
,1998, Solutions of Penrose's Equation, http://dx.doi.org/10.48550/arxiv.gr-qc/9809074
,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
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