Galina Vasilyevna Kuzmina

from Wikipedia, the free encyclopedia

Galina Wassiljewna Kusmina , Russian Галина Васильевна Кузьмина , English transcription Galina Kuzmina, (born April 12, 1929 ) is a Russian mathematician who deals with function theory.

She comes from the school of geometric function theory founded by Gennady Michailowitsch Golusin and Nikolai Andrejewitsch Lebedew (their teachers) and conducts research as a senior scientist in the laboratory for mathematical analysis at the Steklow Institute in Saint Petersburg. Kusmina holds a habilitation (Russian doctorate). She continued the Saint Petersburg seminar for geometric function theory after Lebedev's death.

As a teenager she went through the siege of Leningrad by German troops. She studied at the University of Saint Petersburg and was at the Steklov Institute since 1952. Their first publication in the treatises of the Steklow Institute appeared in 1959 (on the numerical determination of the radii of the areas in which analytic functions are simple).

She belonged to the group of Russian mathematicians in Lebedev's St. Petersburg seminary, who in 1984 clarified and tested the proof of the Bieberbach conjecture by Louis de Branges . De Branges came to Saint Petersburg in 1984 as part of an exchange between the national science academies of the USA and USSR, his proof in book format with him. His use of functional analysis met with skepticism among Russian scientists, who believed that there had to be a classical function-theoretical proof without functional analysis, since he used the Lebedev-Milin inequalities and the Löwner method, all methods of geometric function theory. In addition to Kuzmina, members of the seminar at that time were: Isaak Moissejewitsch Milin , SI Fedorov, EG Goluzina, AZ Grinspan, VI Milin, VI Kamozkii, VO Kuznetzov, IA Lebedev, NA Shirokov and EG Emelyanov (Jemeljanow) (outside the seminar was also AN Kirillov from Algebra Department of the Institute involved in the independent verification of an important inequality). In fact, the members succeeded in working out a classic function-theoretical version. Finally, de Branges could also be convinced to publish the proof without functional analysis (LOMI preprint E 5-84, Steklov Institute 1984). The clarification work and the reputation of the seminar were essential for de Brange's evidence to be recognized in the West, where de Brange was met with skepticism after a few incorrect attempts at proof.

Fonts

  • Moduli of curve families and quadratic differentials (Russian), Trudy Mat. Inst. Steklov., 139 (1980), 3-241.
  • Methods of geometric function theory (Russian), part 1,2, Algebra i Analiz, Volume 9, 1997, Issue 3, pp. 41-103, Volume 5, pp. 1-50.

Web links

Individual evidence

  1. ↑ Alumni St. Petersburg University, Russian
  2. ↑ Trudy Mat. Inst. Steklov., 53 (1959), 192-235
  3. ↑ She wrote about this in the Mathematical Intelligencer , OM Fomenko, GV Kuzmina The last 100 days of the Bieberbach conjecture, Mathematical Intelligencer, Vol. 8, 1986, No. 1
personal data
SURNAME Kuzmina, Galina Wassiljewna
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH April 12, 1929