Valery A. Yumaguzhin

Valery A. YUMAGUZHIN

Date of birth: July 18, 1950.

Education: 1972 M.S. in Mathematics: Department of Mathematics, Bashkir State University, Ufa, USSR. 1979
Ph.D. in Geometry and Topology. Department of Mathematics, Kazan State University, Kazan, USSR.

Home address: Trudovaya, 3-9, Pereslavl-Zalessky, 152140, Russia.
Phone no.: (08535)98344
E-mail: yuma @ diffiety.botik.ru

RESEARCH INTERESTS

Geometry of differential equations; singularities of solutions,
symmetries, and conservation laws of differential equations.
Differential invariants and the equivalence problem.
Scientific calculations, REDUCE and MAPLE programming.

Publications in Diffeotopy

Vinogradov A.M., Yumaguzhin V.A., Scalar differential invariants of Monge - Ampere equations, in preparation.
Yumaguzhin V.A., Contact classification of linear ordinary differential equations. II., Journal of Differential Geometry and its Applications, to appear.
See also The Diffiety Institute Preprints, DIPS 5/2001
Yumaguzhin V.A., Contact classification of linear ordinary differential equations. I., Acta Applicandae Mathematicae, to appear.
See also The Diffiety Institute Preprints, DIPS 3/2001
Yumaguzhin V.A., Local classification of linear ordinary differential equations, Doklady Akademii Nauk, Vol. 377 (2001), No 5, pp.1 -- 3.
(in Russian, English translation in: Doklady Mathematics, Vol. 377 (2001), No 5, pp.1 -- 3.
Gusyatnikova V.N., Yumaguzhin V.A., Contact transformations and local reducibility of ODEs to the form y'''=0, Acta Applicandae Mathematicae, 1999, Vol. 56, No. 2 & 3, pp. 155 - 179.
Yumaguzhin V.A., Differential invariants, webs and ordinary differential equations, Proc. of III International Workshop on Differential Inclusions and Control, Pereslavl-Zalessky, Russia, 1998, pp. 49 - 52.
Gusyatnikova V.A., V.A.Yumaguzhin V.A., Contact transformations and local reducibility of ODEs to the form y'''=0, Proc. of The International Conference on Secondary Calculus and Cohomological Physics, 24 - 31 August, 1997, Moscow, Russia.
DVI, PostScript files see on the EMIS WWW-server.
Yumaguzhin V.A., Contact classification of 3-order linear ODEs, The Diffiety Inst. Preprint Series, DIPS 2/97, 1997, 20 pp..
Yumaguzhin V. A., Classification of 3-rd order linear ODEs up to equivalence, J. Diff. Geom. Appl., 1996, Vol. 6, No. 4, pp. 343 - 350.
Yumaguzhin V. A., Point transformations and classification of 3-order linear ODEs, Russian J. of Math. Phys. Vol. 4, No. 3, pp. 403-409, 1996
Gusyatnikova V. N., Yumaguzhin V. A., Point transformations and linearization of 2-order ordinary differential equations, Mat. Zametki Vol. 49 (1991), No. 1, pp.146-148 (in Russian, English translation in: Soviet Mat. Zametki).
Vinogradov A. M., Yumaguzhin V. A., Differential invariants of webs on 2-dimensional manifolds, Mat. Zametki Vol. 48 (1990), No. 1, pp. 46-68 (in Russian, English translation in: Soviet Mat. Zametki).
Gusyatnikova V. N., Samokhin A. V., Titov, V.S., Vinogradov A. M., Yumaguzhin V. A., Symmetries and conservation laws of Kadomtsev-Pogutse equations, Acta Appl. Math. Vol. 15 (1989), No. 1-2, pp. 23-64;
Also in: A.M.Vinogradov (ed.), Symmetries of partial differential equations. Conservation laws - Applications - Algorithms, Kluwer Acad. Publ., Dordrecht, 1990, pp. 23-64.
Gusyatnikova V. N., Yumaguzhin V. A., Symmetries and conservation laws of Navier-Stokes equations, Acta Appl. Math. Vol. 15 (1989), No. 1-2, pp.65-81; Also in: A. M. Vinogradov (ed.), Symmetries of partial differential equations. Conservation laws - Applications - Algorithms, Kluwer Acad. Publ., Dordrecht, 1990, pp. 65-81.
Gusyatnikova V. N., Vinogradov A. M., Yumaguzhin, V.A., Secondary differential operators, J. Geom. and Phys. Vol. 2 (1985), No. 2, pp. 23-65.
Gusyatnikova, V.N., Vinogradov A. M., Yumaguzhin, V.A., Secondary differential operators, Dokl. AN SSSR Vol. 283 (1985), No. 4, pp.801-805 (in Russian, English translation in: Soviet Math. Dokl. Vol. 32 (1985), No.1, pp.198-202).
Yumaguzhin V. A., Local equivalence of G-structures with constant structural functions, Proc. of VIII SU conference on differential geometry modern problems, Odessa, 1984, p.181.(in Russian).
Yumaguzhin V. A., G-structures with constant structural functions, Differential Geometry, No 3, Mezhvuzovskij nauchnij sbornik, Publishing house of Saratov State University, 1977, pp. 82-104 (in Russian).
Yumaguzhin V. A., Formal flat G-structures, Proc.of SU conference on non-Euclidian geometry "150 years of Lobachevsky geometry", Kazan, 1976, p.220.(in Russian).
Yumaguzhin V. A., Prolongations of G-structures, Differential Geometry, No 2, Mezhvuzovskij nauchnij sbornik, Publishing house of Saratov State University, 1975, pp. 77-87 (in Russian).