VYACHESLAV S. KALNITSKY

Email: skalnitsky@hotmail.com

Web: www.cesj.com/kalnitsky.html

EDUCATION

ST. PETERSBURG STATE UNIVERSITY

Department of Higher Geometry

Postdoc position, September 2001 to December 2003.

Ph.D. in Mathematics, February 2000.

Dissertation title: “The Jacobi algebras on smooth manifolds with linear connection.”

Advisor: Prof. Yuri N. Bibikof

Referee: Prof. Anatoly M. Vershik

M.S. in Mathematics, June 1993

(Diploma with Honors)

PROFESSIONAL ACTIVITIES

Member of EUROPEAN MATHEMATICAL UNION

Member of SAINT-PETERSBURG MATHEMATICAL SOCIETY

Reviewer of Zentralblatt Math                                                                          

Reviewer of American Mathematical Society Reviews             

            Editor of Central European Journal for Mathematics

“VESTNIK OF SAINT-PETERSBURG STATE UNIVERSITY”                      1993-1994

            “CHEMICAL SCIENCE-RESEARCH INSTITUTE PRESS”               1995-1996

            JOURNAL “GRAVITATION”                                                                 1997-1998

HONORS, AWARDS AND GRANTS

1993                Diploma with Honors, Maximum grade points

1993-1995      Three years American Mathematical Society Research grant for the Best Students in Mathematics

1995-1996      ISF&RFBR  #NVX300&303 projects “Multi-frequency oscillations and their bifurcations” (researcher)

1995, 1996      Personal research grant of St. Petersburg Government and Ed. Comm. RF

1997                DAAD traveler grant

1996-2001      Member of Alexandrov-Rokhlin Geometry and Topology Science School #96-15-96075

2002-2003      RFFI research grant #UR.04.01.042 (researcher)

2003                Personal grant of St. Petersburg Government and Ed. Comm. RF #PD03-1.1-27

2004                Member of the Science School  #ÍØ.2271.2003.1

2004                INTAS traveler grant

2005                EMU traveler grant

2005                Science program of Ministry of Education RF VNP 3.1#4733

INVITED TALKS AND SCIENTIFIC VISITS

Wuerzburg University, Brno University of Technology (DGA),

PUBLICATIONS

·              Automorphism of geodesic vector field // Vestn. St. Peterbg. Univ. Math., Allerton Press Inc., New York (28) #2 (1995), 19-20. (Zbl 0886.58010)

·              The algebra of generalized Jacobi fields // J. Math. Sci., N.-Y., 91 #6, pp. 3476-3491 (1998) (Zbl 0890.53040, Zbl 0907.53031)

·              Symmetry fields of geodesic vector fields // Differential Geometry and Application (Brno, 1998), 355-359, Masaryk Univ, Brno, 1999 (Zbl 0945:58004)

·              Symmetries of geodesic flows of affine connection. PhD Thesis, St. Petersburg State University, 1999, 72 p.

·              Spray algebra // Proc. Inst. Math. NAS Ukr., Math. Appl., v. 50, part III, pp. 1356-1360 (2004),     

·              Polynomial symmetries of flat and homogeneous connections // Diff. Geom. Fig. Manif. V. 35 (2004) (ISSN 0321-4796)

·              Nilpotent fields completeness // Diff. Geom. Fig. Manif. V. 36 (2005)

·              The Jacobi algebras of flat manifolds // J. Math. Sci., Springer US, v.131, pp. 5345-5350.  (2005)

PREPRINTS

·              The Jacobi algebra classification on homogeneous manifolds // St. Petersburg Mathematical Society Preprint #2004-03,

·              Symmetries of Weak-Controllable Systems //St.Petersburg Mathematical Society Preprint #2005-07

CONFERENCES

·              Relation between Yano-Ato operator and generalized Jacobi operator // Abstr. 2nd Russian-German Geometry Meeting, P. 31

·              About structure of the symmetrical tensor fields algebra automorphism // Proceedings of the Lobachevsky Math Center, v. 18, p. 41-42, Kazan, 2002

·              The flat geodesic flows symmetries // Thes. Int. Conf. “Kolmogorov-100”, Moscow, 2003, pp. 887-888

·              Spectral classification of the flat torus // Proceedings of the Lobachevsky Math Center, v. 22, Kazan, 2003

·              Spray algebra // Symmetry in Nonlinear Mathematical Physics’2003 (SNMP’03).

·              The completeness of the polynomial spray symmetries // X Int. Conf. dev. M.I. Kravchuk, 13-16 May, Kyiv, Ukraine, 2004, p. 359.

·              Completeness of NCS symmetries. // Proceed. Int. Conf. Analysis and Geometry. August 23-September 2. Novosibirsk. P. 121.

·              D-lift of convolution algebras //Proc. Jacobi Int. Conf. June 20-26, 2005

·              Symmetries of Weak-Controllable Systems // SNMP’05, 18-26 June, 2005.

SEMINARS

·                    Russian-German seminar “New tendencies in mathematics” (St. P.). 06/1996. Die Geodetische Flussigkeiten.

·                    Russian-German seminar “New tendencies in mathematics” (Würzburg). 06/1997. Die Multilinearen Felden. 

·                    St. Petersburg Seminar on Representation Theory and Dynamical Systems. 16/06/1999. Flows commuting with geodesic flows.

·                    Geometry seminar of  Albertina University. 10/09/2003. Jacobi algebras.

 

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