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Elena A. Kudryavtseva

Elena A. Kudryavtseva

Doctor of Physical and Mathematical Sciences, Professor, Professor of the Russian Academy of Sciences

Department of Differential Geometry and Applications
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Main Building, 1 Leninskiye Gory, Moscow 119991, GSP-1, Russia

E-mail: eakudr@mech.math.msu.su

Full list of publications

1. Life and career

Elena A. Kudryavtseva was born in 1973. She graduated from the Faculty of Mechanics and Mathematics of MSU in 1995. In 1999 she completed the postgraduate programme of the Faculty at the Department of Differential Equations under the supervision of N. N. Nekhoroshev, and in 1999 she defended her candidate dissertation in differential equations.

Since 1998 she has worked at the Faculty of Mechanics and Mathematics: as assistant, from 2002 as docent, and from 2017 as professor. In 2022 she was elected Professor of the Russian Academy of Sciences.

E. A. Kudryavtseva is the author of about 40 scientific papers published in the central mathematical press. In the academic years 1999–2000 and 2000–2001 she held a research internship at the Ruhr University of Bochum (Germany), the first year as a DAAD fellow and the second at the invitation of the University of Bochum. During the internship she worked with Professor H. Zieschang, his colleagues and visitors, took part in seminars at the universities of Bochum, Frankfurt, Dortmund, Freiburg and Toulouse (France), where she gave 17 talks (14 of them in German) on her own and joint results.

In 2004–2005 and 2005–2006 she held a research internship at the University of Calgary (Canada) as a PIMS Visiting Research Fellow, working with Professor P. Zwengrowski and taking part in seminars at the universities of Calgary and Edmonton.

She has repeatedly taken part in international conferences, among them the XXI General Assembly of the International Union of Geodesy and Geophysics (Boulder, 1995), conferences in honour of I. Petrovsky (Moscow, 1998, 2001) and L. Pontryagin (Moscow, 1998), the European Forum of Post-Docs in Mathematical Sciences and the 40th anniversary conference of IHES (Paris, 1998), the Summer School “Invariants of Knots and of 3-Dimensional Manifolds” (Grenoble, 1999), conferences on low-dimensional topology in Oberwolfach and Frankfurt (2000), “New Techniques in Topological Quantum Field Theory” (Calgary, 2001), the Second International Russian–German Meeting on Geometry (St Petersburg, 2002) and the International Satellite Conference on Geometric Topology (2002).

2. Degrees and positions

Born1973.
EducationFaculty of Mechanics and Mathematics, MSU, graduated 1995; postgraduate programme at the Department of Differential Equations, completed 1999.
Candidate of Physical and Mathematical Sciences (PhD)1999; advisor N. N. Nekhoroshev.
Doctor of Physical and Mathematical SciencesDefended at MSU; Professor of the Department since 2017.
PositionsAssistant (1998–2002), Docent (2002–2017), Professor (since 2017), Department of Differential Geometry and Applications, MSU. Professor of the Russian Academy of Sciences (since 2022).
Research fieldsHamiltonian dynamical systems; differential geometry and topology; symplectic geometry; Morse theory; low-dimensional topology; combinatorial group theory.

3. Research

The mathematical interests of E. A. Kudryavtseva lie in the fields of Hamiltonian dynamical systems, differential geometry and topology, symplectic geometry, Morse theory, low-dimensional topology and combinatorial group theory. Her work before 2001 concerned, in particular, Pontryagin characteristic classes of symmetric spaces, the topology of integrable Hamiltonian systems and the classification of their singularities; since 2001 she has studied bifurcations of singularities of integrable systems, parabolic and degenerate singularities, maximally symmetric cell decompositions of surfaces and their coverings, and has also worked on problems of topological dynamics and on the equivariant classification of Hamiltonian systems.

Selected topics

  • Topology of integrable Hamiltonian systems: Fomenko–Zieschang invariants and the classification of bifurcations.
  • Parabolic singularities of the Kovalevskaya top and their structural stability (jointly with V. A. Kibkalo).
  • Maximally symmetric cell decompositions of surfaces, symmetric and irreducible abstract polyhedra (jointly with I. M. Nikonov and A. T. Fomenko).
  • Bifurcations in integrable Hamiltonian systems near corank-one singularities (jointly with A. Z. Ali, V. A. Kibkalo and M. V. Onufrienko).

4. Publications (selected)

Full list of publications — 179 records (department page and ISTINA profile)

  1. A. Z. Ali, V. A. Kibkalo, E. A. Kudryavtseva, M. V. Onufrienko. Bifurcations in integrable Hamiltonian systems near corank-one singularities. Differential Equations, 60:10 (2024), pp. 1311–1368.
  2. A. Yu. Konyaev, E. A. Kudryavtseva, V. I. Sidelnikov. Geometry and topology of two-dimensional symplectic manifolds with generic singularities and Hamiltonian systems on them. Moscow University Mathematics Bulletin, no. 5 (2024), pp. 22–33.
  3. E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko. Maximally symmetric cell decompositions of surfaces and their coverings. Matematicheskii Sbornik, vol. 199, no. 9 (2008), pp. 3–96.
  4. E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko. Symmetric and irreducible abstract polyhedra. In: Mathematics, issue 2: Geometry and Topology, Contemporary Problems of Mathematics and Mechanics, MSU, 2009, pp. 58–97.

The full list of publications (179 records, including the sections with the author's annotated bibliography) is given on the Full list of publications page.