Andrey A. Oshemkov

1. Life and career

Andrey A. Oshemkov was born in 1964. In 1986 he graduated from the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University, and in 1991 he completed the postgraduate programme of the Division of Mathematics.

In 1992 he defended his candidate (PhD) dissertation under the supervision of A. T. Fomenko, and in 2011 his doctoral dissertation.

He has worked at the Faculty of Mechanics and Mathematics since 1991 and is at present Professor at the Department of Differential Geometry and Applications. In 2013–2014 he was also Director of the Specialized Educational Scientific Centre (SUSC) of MSU, where he continued to work as Professor from 2014 to 2024.

2. Degrees and positions

3. Research

The main scientific results of A. A. Oshemkov are connected with the qualitative study of dynamical systems. In particular, he computed topological invariants for many integrable cases in rigid body dynamics, obtained a topological classification of Morse–Smale flows on two-dimensional surfaces, obtained a classification of saddle singularities of integrable Hamiltonian systems, and studied the topology of the complex of singularities for integrable Hamiltonian systems on compact symplectic manifolds.

Main contributions

• Topology of isoenergetic surfaces and bifurcation diagrams for integrable cases of rigid body dynamics on so(4); computation of Fomenko–Zieschang invariants for the basic integrable cases.
• Morse functions on two-dimensional surfaces and the coding of singularities.
• Topological structure of the set of singularities of integrable Hamiltonian systems.
• Classification of Morse–Smale flows on two-dimensional manifolds (with V. V. Sharko); algorithmic classification of invariant neighbourhoods of saddle–saddle singular points (with V. S. Matveev).
• Topological analysis of the two-centre problem on the sphere and of other integrable mechanical systems.

4. Teaching and administration

For many years A. A. Oshemkov has taught at the Faculty of Mechanics and Mathematics and at the Specialized Educational Scientific Centre of MSU, of which he was Director in 2013–2014 and where he remained Professor until 2024. He supervises course and diploma work of students and postgraduate students of the Department.

5. Publications

Full list of publications — 53 records (department page and ISTINA profile)

A PDF version of the departmental list is also available (in Russian):

A. A. Oshemkov — list of publications (PDF, in Russian)

Selected works:

1. Topology of isoenergetic surfaces and bifurcation diagrams for some integrable cases of rigid body dynamics on so(4). Uspekhi Matematicheskikh Nauk, vol. 42, no. 6 (1987), pp. 199–200.
2. Description of isoenergetic surfaces for some integrable Hamiltonian systems with two degrees of freedom. Proceedings of the Seminar on Vector and Tensor Analysis, vol. 23, MSU, 1988, pp. 122–131.
3. Computation of Fomenko invariants for the basic integrable cases of rigid body dynamics. Proceedings of the Seminar on Vector and Tensor Analysis, vol. 25, 1993, pp. 23–109.
4. Morse functions on two-dimensional surfaces. Coding of singularities. Proceedings of the Steklov Institute of Mathematics, vol. 205 (1994), pp. 131–140.
5. On the topological structure of the set of singularities of integrable Hamiltonian systems. In: Topological Methods in the Theory of Hamiltonian Systems, Moscow, Factorial, 1998, pp. 272–287.
6. A. A. Oshemkov, V. V. Sharko. On the classification of Morse–Smale flows on two-dimensional manifolds. Matematicheskii Sbornik, vol. 189, no. 8 (1998), pp. 93–140.
7. V. S. Matveev, A. A. Oshemkov. Algorithmic classification of invariant neighbourhoods of saddle–saddle singular points. Moscow University Mathematics Bulletin, no. 2 (1999), pp. 62–65.
8. T. G. Vozmishcheva, A. A. Oshemkov. Topological analysis of the two-centre problem on the sphere. Matematicheskii Sbornik, vol. 193 (2002).

6. Links and sources

• ISTINA profile: istina.msu.ru/workers/2522340.
• Russian personal page: dfgm.math.msu.su/people/oshemkov/.
• Full list of publications: oshemkov-publ.pdf.

Compiled from the department page dfgm.math.msu.su/people/oshemkov/; titles of Russian-language papers are translated into English, names and journal titles are transliterated.