Head of the Personal Computer
Department, Institute of Economic Forecasting
Russian Academy of Science,
47 Nakhimovskii prosp.,
Moscow 117418,
Russia
Date of birth:
Junuary 23, 1947
Office address
see above
E-mail
vin @ diffiety.ac.ru
Tel. No.
(095) 129-39-04
Fax No.
(095) 718-97-71
Education:
Moscow Mekh-mat (Mechanical & Mathematical Faculty
of Moscow State Univ.), 1970
Degree:
Ph.D. (Cand. Sc. Phys.-Math.) in Math.,
Moscow State Pedagogical Institute, 1981.
RESEARCH INTERESTS Algebraic theory of linear differential equations, including non-commutative
and graded situations. Geometry, symmetries and conservation laws of partial
differential equations and equations of mathematical physics. Current research: Functor Der and dioles.
ADDITIONAL DIFFEOTOPICAL & MATH. ACTIVITY
1972-1990 Scientific secretary of All-Union seminar "Algebra
and geometry of differential equations" by prof. A. M. Vinogradov,
Moscow State Univ., Mechanical & Mathematical Faculty, MGU Moscow 117234,
Russia
A. Vinogradov and M. Vinogradov -
Graded multiple analogs of Lie algebras, -
Acta Appl. Math., Volume 72, Issue 1-2, pp. 183-197, June 2002.
See also DIPS 8/2001.
Vinogradov A. M. and
Vinogradov M. M., On multiple
generalizations of Lie algebras and Poisson manifolds,
in M. Henneaux,
I. Krasil'shchik, and
A. M. Vinogradov (Eds.),
Secondary Calculus and Cohomological Physics,
Contemporary Mathematics, vol. 219, American Mathematical Society, 1998.
See also The Diffiety Inst. Preprint Series,
DIPS 6/98.
Vinogradov M. M., Field extensions and extensions of linear
differential operators,
Acta Applicandae Mathematicae,
Volume 49, Issue 3, December 1997, pp. 271-280.
See also Preprint
DIPS 6/96.
Vinogradov M. M., Residues without duality,
Acta Applicandae Mathematicae,
Volume 49, Issue 3, December 1997, pp. 281-291.
See also Preprint DIPS 7/96.
Vinogradov M. M., Remarks on algebraic Lagrangian formalism,
Acta Applicandae Mathematicae,
Volume 49, Issue 3, December 1997, pp. 331-338.
See also Preprint DIPS 8/96.
Vinogradov M. M.,
Coconnections and integral forms, Doklady
Akad. Nauk SSSR, vol. 338, No 3, 1994, pp. 295 - 297, (in Russian). English
translation - Russian Acad. Sci. Dokl. Math., vol. 50 (1995), pp. 229-233.
Vinogradov M. M., Principal functors of differential calculus
in graded algebras, Uspehi mat. nauk, vol. 44, No 3(267), 1989, pp.
151 - 152, (in Russian). English translation - Russian Math. Surveys 44
(1989), No 3, pp. 220-221.
Vinogradov M. M., Residues without duality, in "Works
of seminar 'Algebra and geometry differential equations", VINITI,
No 858/86B, Moscow, 1986, pp. 183 - 201, (in Russian).
Vinogradov M. M., Extensions of fields and extensions of
linear differential operators, Mat. zametky, vol. 30, No 2, 1981, pp.237
-248, (in Russian).
Vinogradov M. M., Residue theory on commutative algebras,
Uspehi mat. nauk, vol. 35, No 2(212), 1980, pp. 203 - 204, (in Russian).
Vinogradov M. M., De Rham cohomology of fields P(z_{1},...,z_{n})
and residue theory, VIII National Voronezh Winter Mathematical Research
Institute, Voronezh State Univ. Publ., 1974, p. 18 - 19.
PUBLICATIONS IN PREPARATION
Vinogradov M. M., Introduction to diffeotopy, monograph,
in collaboration with A. M. Vinogradov, about 500
p. (to appear).