VAKHTANG LOMADZE

AFFILIATION

A. Razmadze Mathematical Institute

M. Aleksidze Str. 1, 380093, Tbilisi, Georgia

tel.: +995/32/33-41-54 (office)

+995/32/30-19-77 (home)

e-mail: loma@rmi.acnet.ge

 

PERSONAL DATA

Birthdate: 22.04.1950

Married; two children

 

EDUCATION

1967 - 1969 Faculty of Mechanics and Mathematics of Tbilisi State University

1969 - 1974 Faculty of Mechanics and Mathematics of Moscow State University

1976 - 1979 Post graduate student at V. Steclov Mathematical Institute

 

SCIENTIFIC DEGREES

1981 Candidate of Sciences (Ph.D.) from V. Steclov Mathematical Institute,

"Multidimensional local fields and their applications", supervisor Prof.

A. Parshin

1995 Doctor of Sciences (Habilitation) from Tbilisi State University,

"On generalized and higher genus linear systems"

 

POSITIONS HELD AND ACADEMIC EXPERIENCE

1980 - Employee of A. Razmadze Mathematical Institute of Georgian Academy of Sciences. Permanent position - Leading scientific researcher

 

VISITING POSITIONS

1974 - 1976 Associate Researcher at V. Steklov Mathematical Institute

 

RESEARCH INTERESTS

Applications of algebra

 

GRANTS

1995 - 1996 Grant from ISF

1997 - 1999 Grant from the Georgian Academy of Sciences

1997 - 1998 Grant from INTAS

 

PARTICIPATION IN CONFERENCES

Conference "Algebraic Geometry", March 9-15, 1988, Berlin, DDR

Conference Systems and Control, June 14-16, 1995, Groningen, The Netherlands

Conference Mathematical theory of networks and systems, June 24-28, 1996,

St. Louis, USA

 

PUBLICATIONS

[1] V. Lomadze, On ramification theory of two-dimensional local fields, Matem.

Sbornik Akad. Nauk SSSR, 109 (1979), 378-394.

[2] V. Lomadze, On the intersection index of divisors, Izv. Akad. Nauk SSSR,

44 (1980), 1120-1130; English transl. in Math. USSR Izv. 17 (1981), 343-352.

[3] V. Lomadze, On residues in algebraic geometry, Izv. Akad. Nauk SSSR, 45 (1981),

1258-1287; English transl. in Math. USSR Izv. 19 (1982), 495-520.

[4] V. Lomadze, Distributions of Noether spaces, Bull. Acad. Sci. Georgian SSR,

119 (1985), 465-468.

[5] V. Lomadze, Ramification in extensions of multidimensional local fields,

Proc. A. Razmadze Math. Institute, 57 (1985), 71-80.

[6] V. Lomadze, On quadratic forms over multidimensional local fields,

Mat. Zamet. Akad. Nauk SSSR, 42 (1987), 353-357.

[7] V. Lomadze, Linear systems and coherent sheaves, Bull. Acad. Sci.

Georgian SSR, 126 (1987), 37-40.

[8] V. Lomadze, On generalized time-invariant dynamical linear systems,

Bull. Acad. Sci. Georgian, 126 (1987), 261-264.

[9] V. Lomadze, On operational calculus, Bull. Georgian Acad. Sci.,

140 (1990), 497-500.

[10] V. Lomadze, Finite-dimensional time-invariant linear dynamical systems:

Algebraic theory, Acta Appl. Math., 19 (1990), 149-201.

[11] V. Lomadze, Linear dynamical systems of higher genus, Proc. Georgian

Acad. Sci., 1 (1993), 565-584.

[12] V. Lomadze, Linear systems of arbitrary genus, Acta Appl. Math.

34 (1994), 305-312.

[13] V. Lomadze, Linear dynamical systems: Compactness theorem,

Systems and Control Letters, 23 (1994), 111-117.

[14] V. Lomadze, Linear system theory: An algebraist's point of view,

Systems and Control Letters, 29 (1996), 73-80.

[15] V. Lomadze, Frequency responses, Bull. Georgian Acad. Sci., 157 (1998),

186-188.

[16] V. Lomadze, M.S. Ravi, J. Rosenthal and J.M. Schumacher, A

behavioral approach to singular systems, Acta Appl. Math, 54 (1998),331-344.

[17] V. Lomadze, Applications of vector bundles to factorization of

rational matrices, Linear Algebra Appl., 288 (1999), 249-258.

[18] V. Lomadze, Linear constant coefficient differential (or difference)

equations, J. of Pure and Applied Algebra, (to appear).

[19] V. Lomadze, Time-varying linear dynamical systems, Proc. A. Razmadze

Math. Inst., (to appear).

[20] V. Lomadze, On state space representations of AR-models, Georgian

Math. J., (to appear).