Speciality:
01.01.04 (Geometry and topology)
E-mail: ,
Website: https://dfgm.math.msu.su/people/koudr Keywords: dynamical systems,
Hamiltonian systems,
topological conjugacy of Hamiltonian systems, periodic solutions, symplectic invariants, low-dimensional topology,
coincidence theory on surfaces,
Morse theory, singularities of integrable Hamiltonian systems
Main publications:
E. A. Kudryavtseva, “Hidden toric symmetry and structural stability of singularities in integrable systems”, Published online 25 October 2021, European Journal of Mathematics, 8 (2022), 1487–1549view pdf, arXiv: 2008.01067
Alexey Bolsinov, Lorenzo Guglielmi, Elena Kudryavtseva, “Symplectic invariants for parabolic orbits and cusp singularities of integrable systems”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376:2131 (2018), 20170424 , 29 pp., arXiv: 1802.09910
E. A. Kudryavtseva, “Helicity is the Only Invariant of Incompressible Flows whose Derivative is Continuous in the $C^1$ Topology”, Math. Notes, 99:4 (2016), 611–615math.DS/1511.03746
E. A. Kudryavtseva, “Topology of the spaces of functions with prescribed singularities on surfaces”, Doklady Mathematics, 93:3 (2016), 264–266math.GT/1601.02283
O. V. Bogopolski, E. A. Kudryavtseva, H. Zieschang, “Simple curves on surfaces and an analog of a theorem of Magnus for surface groups”, Math. Z., 247:3 (2004), 595–609
D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Roots of mappings on nonorientable surfaces and equations in free groups”, Manuscripta Math., 107:3 (2002), 311–341