Select Publications
Preprints
, 2025, Self-adjoint quantization of Stäckel integrable systems, http://arxiv.org/abs/2501.18082v2
, 2024, Conformal Killing tensors and their Killing scales, http://arxiv.org/abs/2406.17212v1
, 2024, Superintegrable systems on conformal surfaces, http://arxiv.org/abs/2403.09191v1
, 2023, When a $(1,1)$-tensor generates separation of variables of a certain metric, http://dx.doi.org/10.1016/j.geomphys.2023.105031
, 2020, Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension, http://dx.doi.org/10.1007/s00220-023-04872-w
, 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://arxiv.org/abs/1602.07890v2
, 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/10.1088/1751-8113/47/49/495202
, 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/10.1063/1.1429322
, 2001, Completeness of superintegrability in two-dimensional constant curvature spaces, http://dx.doi.org/10.1088/0305-4470/34/22/311
, 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/10.1063/1.532140