Select Publications
Preprints
2024, Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation, http://dx.doi.org/10.48550/arxiv.2402.11779
,2021, On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability, http://dx.doi.org/10.48550/arxiv.2111.08880
,2021, On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure, http://dx.doi.org/10.48550/arxiv.2111.07582
,2020, Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates, http://dx.doi.org/10.48550/arxiv.2008.07261
,2019, On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs, http://dx.doi.org/10.48550/arxiv.1908.00856
,2019, On an integrable multi-dimensionally consistent 2n+2n-dimensional heavenly-type equation, http://dx.doi.org/10.48550/arxiv.1902.06045
,2018, Checkerboard incircular nets. Laguerre geometry and parametrisation, http://dx.doi.org/10.48550/arxiv.1808.07254
,2018, Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles, http://dx.doi.org/10.48550/arxiv.1808.03104
,2018, Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system, http://dx.doi.org/10.48550/arxiv.1801.08339
,2017, Log-aesthetic Curves as Similarity Geometric Analogue of Euler's Elasticae, http://dx.doi.org/10.48550/arxiv.1711.09549
,2017, On a discretization of confocal quadrics. II. A geometric approach to general parametrizations, http://dx.doi.org/10.48550/arxiv.1708.06800
,2015, On a discretization of confocal quadrics. I. An integrable systems approach, http://dx.doi.org/10.48550/arxiv.1511.01777
,2015, Circle complexes and the discrete CKP equation, http://dx.doi.org/10.48550/arxiv.1509.04109
,2014, Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations, http://dx.doi.org/10.48550/arxiv.1411.7597
,2014, Critical points, Lauricella functions and Whitham-type equations, http://dx.doi.org/10.48550/arxiv.1411.5856
,2014, Discrete line complexes and integrable evolution of minors, http://dx.doi.org/10.48550/arxiv.1410.5794
,2013, On Weingarten transformations of hyperbolic nets, http://dx.doi.org/10.48550/arxiv.1305.4783
,2008, A novel generalization of Clifford's classical point-circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian KP equation, http://dx.doi.org/10.48550/arxiv.0810.5668
,2007, Painlevé structure of a multi-ion electrodiffusion system, http://dx.doi.org/10.48550/arxiv.0711.0615
,2001, Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy, http://dx.doi.org/10.48550/arxiv.nlin/0105023
,Rom Simulation with Exact Means, Covariances, and Multivariate Skewness, http://dx.doi.org/10.2139/ssrn.2816279
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