| Publication | Date of Publication | Type |
|---|
| Geometry of generalized fluid flows | 2024-01-02 | Paper |
| Long‐diagonal pentagram maps | 2023-09-15 | Paper |
| The Toda flow as a porous medium equation | 2023-07-04 | Paper |
| Geometric hydrodynamics in open problems | 2023-03-01 | Paper |
| The golden ratio and hydrodynamics | 2022-10-28 | Paper |
| Geometric Hydrodynamics in Open Problems | 2022-05-02 | Paper |
| Special issue in honour of Alexander Shnirelman's 75th birthday | 2022-03-22 | Paper |
| The helicity uniqueness conjecture in 3d hydrodynamics | 2022-01-24 | Paper |
| A Basis of Casimirs in 3D Magnetohydrodynamics | 2022-01-13 | Paper |
| Geometric hydrodynamics and infinite-dimensional Newton’s equations | 2021-07-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4988708 | 2021-05-18 | Paper |
| Topological Methods in Hydrodynamics | 2021-05-18 | Paper |
| Polar bear or penguin? Musings on Earth cartography and Chebyshev nets | 2021-04-19 | Paper |
| The Golden Ratio and Hydrodynamics | 2021-04-05 | Paper |
| Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations | 2021-03-17 | Paper |
| Global, local and dense non-mixing of the 3D Euler equation | 2020-10-16 | Paper |
| On the 80th birthday of Dmitry Borisovich Fuchs | 2020-04-14 | Paper |
| Fun problems in geometry and beyond | 2020-02-20 | Paper |
| Averaging, symplectic reduction, and central extensions | 2020-02-12 | Paper |
| Geometry of the Madelung transform | 2019-09-05 | Paper |
| Geometric hydrodynamics via Madelung transform | 2019-07-03 | Paper |
| Classification of Casimirs in 2D hydrodynamics | 2019-06-20 | Paper |
| Characterization of Steady Solutions to the 2D Euler Equation | 2019-01-22 | Paper |
| Math in the Black Forest: Workshop on New Directions in Shape Analysis | 2018-11-04 | Paper |
| Vortex sheets and diffeomorphism groupoids | 2018-10-10 | Paper |
| The geometry of dented pentagram maps | 2016-02-05 | Paper |
| The Group and Hamiltonian Descriptions of Hydrodynamical Systems | 2015-02-12 | Paper |
| Non-integrability vs. integrability in pentagram maps | 2014-12-03 | Paper |
| KAM theory and the 3D Euler equation | 2014-10-20 | Paper |
| Curvatures of Sobolev metrics on diffeomorphism groups | 2014-02-11 | Paper |
| Integrability of higher pentagram maps | 2013-11-12 | Paper |
| Geometry of diffeomorphism groups, complete integrability and geometric statistics | 2013-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4924941 | 2013-06-10 | Paper |
| Symplectic structures and dynamics on vortex membranes | 2013-01-17 | Paper |
| Dynamics of symplectic fluids and point vortices | 2013-01-14 | Paper |
| The pentagram map in higher dimensions and KdV flows | 2012-12-03 | Paper |
| The Euler and Navier-Stokes equations on the hyperbolic plane | 2012-05-23 | Paper |
| Memories of Vladimir Arnold | 2012-05-10 | Paper |
| Tribute to Vladimir Arnold | 2012-05-10 | Paper |
| Contact complete integrability | 2011-01-14 | Paper |
| Pseudo-Riemannian geodesics and billiards | 2009-05-28 | Paper |
| The Geometry of Infinite-Dimensional Groups | 2009-02-04 | Paper |
| Shock waves for the Burgers equation and curvatures of diffeomorphism groups | 2009-01-19 | Paper |
| Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms | 2008-12-01 | Paper |
| Geodesics on an ellipsoid in Minkowski space | 2008-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5301215 | 2008-04-29 | Paper |
| The Geometry of Infinite-Dimensional Groups | 2008-02-26 | Paper |
| Pseudodifferential symbols on Riemann surfaces and Krichever-Novikov algebras | 2008-01-16 | Paper |
| Polar linkings, intersections and Weil pairing | 2007-11-21 | Paper |
| Asymptotic directions, Monge-Ampère equations and the geometry of diffeomorphism groups | 2006-02-07 | Paper |
| Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus | 2005-09-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4678062 | 2005-05-23 | Paper |
| Topology Bounds the Energy | 2005-04-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4832443 | 2005-01-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4831536 | 2005-01-03 | Paper |
| A polar de Rham theorem | 2004-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4817693 | 2004-09-15 | Paper |
| Polar Homology | 2003-12-03 | Paper |
| Euler equations on homogeneous spaces and Virasoro orbits | 2003-05-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4945325 | 2003-02-16 | Paper |
| Polar homology and holomorphic bundles | 2002-06-13 | Paper |
| A Poisson-Lie framework for rational reductions of the KP hierarchy | 2002-04-11 | Paper |
| On cohomology of the Lie algebra of pseudodifferential symbols on a circle | 2001-04-03 | Paper |
| Bifurcations in gradient dynamical systems | 1998-11-03 | Paper |
| Topological methods in hydrodynamics | 1998-06-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4357660 | 1998-05-25 | Paper |
| Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle | 1997-10-22 | Paper |
| Four dimensional realization of two dimensional current groups | 1997-03-18 | Paper |
| Universal Drinfeld-Sokolov reduction and matrices of complex size | 1996-10-07 | Paper |
| Poisson-Lie group of pseudodifferential symbols | 1996-02-15 | Paper |
| Affine Gelfand-Dickey brackets and holomorphic vector bundles | 1995-03-29 | Paper |
| Steady fluid flows and symplectic geometry | 1994-10-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4273523 | 1994-01-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4695114 | 1993-09-27 | Paper |
| Integrals of the Euler equations of multidimensional hydrodynamics and superconductivity | 1993-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5288187 | 1993-08-16 | Paper |
| The logarithm of the derivative operator and higher spin algebras of \(W_{\infty{}}\) type | 1993-05-16 | Paper |
| Nondegenerate curves on \(S^ 2\) and orbit classification of the Zamolodchikov algebra | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4012059 | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3993837 | 1992-08-13 | Paper |
| Ergodic interpretation of integral hydrodynamic invariants | 1992-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3972946 | 1992-06-26 | Paper |
| Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in \(D\) dimensions | 1992-06-25 | Paper |
| A central extension of the algebra of pseudodifferential symbols | 1991-01-01 | Paper |
| Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves | 1990-01-01 | Paper |
| Invariants of Hamiltonian KdV-structures | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3472885 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3033016 | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3033499 | 1989-01-01 | Paper |
| Versal deformations of intersections of invariant submanifolds of dynamical systems | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3357939 | 1988-01-01 | Paper |
| Korteweg - de Vries suoerequation as an Euler equation | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3780152 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3794905 | 1987-01-01 | Paper |
| Homogeneous vector fields and Whitney umbrellas | 1987-01-01 | Paper |
| Bifurcation of singular points of gradient dynamical systems | 1986-01-01 | Paper |
