Prof. GEORGE LOMADZE CURRICULUM VITAE

AFFILATION

PERSONAL DATA

Birthdate: December 27, 1912

Birthplace: Moscow, Russia

Nationality: Georgian

EDUCATION AND SCIENTIFIC DEGREES

1932-1937	Student of Tbilisi State University, Faculty of Physics and Mathematics
1937	Diploma in Mathematics (with honour), Tbilisi State University
1938	Post-graduate student of A. Razmadze Mathematical Institute
1948	Kandidat of Mathematics, A. Razmadze Mathematical Institute
1963	Doctor of Sciences (Phys. and Math.), Leningrad State University

LANGUAGES

Georgian, Russian, French

POSITIONS HELD AND ACADEMIC EXPERIANCE

1941-1946	Service in Soviet Armed Forces
1946-1953	researcher of A. Razmadze Math. Institute
1948-1965	Assistent Professor of Tbilisi State University
1965-up to now	Full Professor of Tbilisi State University

RESEARCH INTERESTS

Analytic Number Theory (Representations of numbers by quadratic forms with integral coefficients, entire modular forms)

SUPERVISION OF POST-GRADUATE STUDENTS

R. Gongadze -	defended the Kandidat degree in 1963 at Tbilisi State University
R. Beridze -	defended the Kandidat degree in 1965 at Tbilisi State University
T. Vepkhvadze -	defended the Kandidat degree in 1970 at Tbilisi State University
G. Gogishvili -	defended the Kandidat degree in 1971 at Tbilisi State University
L. Sulakvelidze -	defended the Kandidat degree in 1978 at Tbilisi State University
K. Shavgulidze -	defended the Kandidat degree in 1989 at Tbilisi State University
N. Katchakhidze -	defended the Kandidat degree in 1993 at Tbilisi State University

PARTICIPATION IN CONFERENCES AND OTHER SCIENTIFIC FORUMS

• Third all-union mathematical congress, Moscow 1956
• Fourth all-union mathematical congress, Leningrad 1961
• International congress of mathematicians, Moscow 1966
• Higher school conference in Number Theory, Vladimir 1968
• All-union simposium in Number Theory, Alma-Ata 1969
• International conference in Number Theory, Moscow 1971
• All-union conference in Number Theory, Samarkand 1972
• All-union conference in Analytic Number Theory, Vilnius 1974
• All-union school-seminar in Number Theory, Dushanbe 1977
• All-union conference in Number Theory, Tbilisi 1985
• All-union school in Number Theory, Minsk 1989
• International conference in Analytic and Probabilistic Number Theory, Vilnius 1991
• First congress of mathematicions of Georgia, Tbilisi 1994
• Second Congress of mathematicions of Georgia, Tbilisi 1997

1. On the representation of numbers by squares, Trudy Tbiliss. Mat. Inst., 16 (1948), pp. 231-275 (in Russian).
2. On the representation of numbers by an odd number of squars, Trudy Tbiliss. Mat. Inst., 17 (1949), pp. 281-314 (in Russian).
3. On simulteneous representation of two integers by sums of integers and their squares, Trudy Tbiliss. Mat. Inst., 18 (1951), pp. 153-181 (in Russian).
4. On summation of one singular series, Trudy Tbiliss. Mat. Inst., 19 (1953), pp. 61-77 (in Russian).
5. On summation of one singular series: II, Trudy Tbiliss. Mat. Inst., 20 (1954), pp. 21-45 (in Russian).
6. On the representation of numbers by squares, Trudy Tbiliss. Mat. Inst., 20 (1954), pp. 47-87 (in Russian).
7. On the representation of numbers by sums of generalized polygonal integers, Trudy Tbiliss. Mat. Inst., 22 (1956), pp. 77-102 (in Russian).
8. On the representation of numbers by sums of generalized polygonal integers: II, Trudy Tbiliss. Mat. Inst., 24 (1957), pp. 3-33 (in Russian).
9. On the representation of numbers by sums of generalized polygonal integers, Trudy Tbiliss. Univ., 64 (1957), pp. 81-91 (in Russian).
10. Über die Darstellung der Zahlen durch einige quaternäre quadratische Formen, Acta Arithmetica, 5 (1959), pp. 125-170.
11. On the representation of numbers by some quadratic forms in four variables, Trudy Tbiliss. Univ., 76 (1959), pp. 108-159 (in Russian).
12. On the representation of numbers by some ternary quadratic forms, Trudy Tbiliss. Mat. Inst., 27 (1960), pp. 115-141 (in Russian).
13. Über die Darstellung der Zahlen durch einige ternäre quadratische Formen, Acta Arithmetica, 6 (1961), pp. 225-275.
14. On the representation of numbers by binary quadratic forms, Trudy Tbiliss. Univ., 84 (1961), pp. 285-290 (in Russian).
15. The scientific work of Arnold Walfisz, Acta Arithmetica, 10 (1964), pp. 227-237.
16. On the representation of numbers by some quaternary quadratic forms, Trudy Tbiliss. Univ., 110 (1965), pp. 163-180 (in Russian).
17. On the representation of numbers by positive binary diagonal quadratic forms, Mat. Sbornik, 68 (1965), pp. 282-312 (in Russian).
18. On the arithmetical sense of some coefficients, Bull. Acad. Sci. Georgian SSR, 41 (1966), pp. 257-263 (in Russian).
19. On the representation of numbers by some quadratic forms in six variables, Trudy Tbiliss. Univ., 117 (1966), pp. 9-43 (in Russian).
20. On the representation of numbers by some quadratic forms in six variables: II, Trudy Tbiliss. Univ., 129 (1968), pp. 275-297 (in Russian).
21. On the representation of numbers by some quadratic forms in four variables, Bull. Acad. Sci. Georgian SSR, 50 (1968), pp. 295-300 (in Russian).
22. On the representation of numbers by the forms x₁² + 3x₂² + 36x₃² and x₁² + 12x₂² + 36x₃², Bull. Acad. Sci. Georgian SSR, 51 (1968), pp. 25-30 (in Russian).
23. On the representation of numbers by some binary quadratic forms, Izvestiya Vyssh. Ycheb. Zav. (Matematika), 11 (1970), pp. 71-75 (in Russian).
24. On the representation of numbers by positive ternary diagonal quadratic forms: I, Acta Arithmetica, 19 (1971), pp. 267-305 (in Russian).
25. On the representation of numbers by positive ternary diagonal quadratic forms: II, Acta Arithmetica, 19 (1971), pp. 387-407 (in Russian).
26. On the number of representations of numbers by quadratic forms in four variables, 40 (1971), Trudy Tbiliss. Mat. Inst., 40 (1971), pp. 106-139 (in Russian).
27. Formulas for the number of representations of numbers by all primitive positive ternary diagonal quadratic forms belonging to one class genera, Trudy Tbiliss. Mat. Inst., 40 (1971), pp. 140-179 (in Russian).
28. On behaviour of the derivatives of Theta-functions under linear substitutions, Trudy Tbiliss. Univ., 146 (1972), pp. 15-27 (in Russian).
29. On the basis of the space of spherical functions of fourth order relative to a positif quadratic form, Bull. Acad. Sci. Georgian SSR, 69 (1973), pp. 533-536 (in Russian).
30. On the number of representations of numbers by positive quadratic forms in six variables, Trudy Tbiliss. Mat. Inst., 45 (1974), pp. 111-133 (in Russian).
31. On the basis of the space of spherical functions relative to a positif quadratic form, Trudy Tbiliss. Mat. Inst., 45 (1974), pp. 134-145 (in Russian).
32. On cusp forms of prime level and principal type, Trudy Tbiliss. Mat. Inst., 45 (1974), pp.146-161 (in Russian).
33. On representation of numbers by sum of 8t + 1 squares, Trudy Tbiliss. Univ., 179 (1976), pp. 63-66 (in Russian).
34. Formulas for the number of representations of numbers by some regular and semiregular ternary quadratic forms belonging to two class genera, Acta Arithmetica, 34 (1978), pp. 131-162 (in Russian).
35. On cusp forms of prime level and neighbouring type, Trudy Tbiliss. Mat. Inst., 63 (1980), pp. 36-53 (in Russian).
36. On cusp forms of prime level and principal type: II, Trudy Tbiliss. Mat. Inst., 57 (1977), pp. 63-81 (in Russian).
37. On cusp forms of prime level and neighbouring type: II, Trudy Tbiliss. Mat. Inst., 72 (1983), pp. 40-54 (in Russian).
38. On cusp and quadratic forms of prime level and neighbouring type: I, Trudy Tbiliss. Mat. Inst., 84 (1987), pp. 36-54 (in Russian).
39. On the representation of numbers by sums of quadratic forms x₁² + x₁x₂ + x₂², Acta Arithmetica, 54 (1989), pp. 9-36 (in Russian).
40. On the representation of numbers by a direct sum of quadratic forms x₁² + x₁x₂ + x₂², Trudy Tbiliss. Univ., 288 (1989), pp. 5-21 (in Russian).
41. On the representation of numbers by a direct sum of quadratic forms x₁² + x₁x₂ + x₂², Trudy Tbiliss. Univ., 289 (1990), pp. 12-58 (in Russian).
42. On cusp and quadratic forms of prime level and neighbouring type: II, Trudy Tbiliss. Mat. Inst., 104 (1993), pp. 53-66 (in Russian).
43. On some arithmetical applications of the theory of modular forms, Trudy V. Steklov Mat. Inst., 200 (1991), pp. 236-244 (in Russian).
44. On some entire modular forms of half integral weight for the group G₀(4N), New trends in Probab. and Statist., (1992), pp. 57-67.
45. On the number of representations of natural numbers by sums of nine squares, Acta Arithmetica, 68 (1994), pp. 245-253 (in Russian).
46. On some entire modular forms of weight 5 and 6 for the congruence group G₀(4N), Georgian Math. J., 1 (1994), pp. 53-76.
47. Construction of entire modular forms of weights 5 and 6 for the congruence group G₀(4N), Georgian Math. J., 1 (1995), pp. 189-199.
48. On the number of representations of integers by some quadratic forms in ten variables, Georgian Math. J., 2 (1995), pp.491- 516.
49. On some entire modular forms of weight 7/2 and 9/2 for the congruence group G₀(4N), Georgian Math. J., 3 (1996), pp. 485-500.
50. On the number of representations of positive integers by a direct sum of binary quadratic forms with discriminant -23, Georgian Math, J., 4 (1997), pp. 523-532.