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).