Krushkal, Samuel Leibovich

On June 13, 1941, as socially alien elements, the Krushkal family was expelled from Tartu to a settlement in Narym ^[1] , father Michel-Leib Moiseevich Krushkal was transferred to a camp , and Samil Krushkal, after his release with his mother, Enta Moiseevna Krushkal and sisters, settled in Tomsk ^{[2 ] [3] [4] [5]} . He graduated from Tomsk State University in 1961.

The dissertation of the candidate of physical and mathematical sciences on the subject “Some questions of the theory of quasiconformal mappings of flat and spatial domains” was defended in 1964 under the direction of Pavel Belinsky , his doctoral dissertation on the topic “Extreme problems of the theory of quasiconformal mappings and the problem of modules of Riemann surfaces” - in 1969. Senior Researcher, Siberian Branch of the Institute of Mathematics, Academy of Sciences of the USSR (since 1986, Leading Researcher). Professor of Novosibirsk State University (1972-1991) ^{[6] [7]} .

Among the students are doctors of physical and mathematical sciences Mikhail Kapovich , Boris Apanasov , Alexander Mednykh , Victor Chueshev ^{[8] [9]} .

After emigrating to Israel in 1991, he worked at Bar-Ilan University ^{[10] [11] [12]} .

His research interests included and geometry, Klein groups , hyperbolic geometry , geometric group theory , spaces of nonpositive curvature .

• Son - mathematician Vyacheslav (Glory) Krushkal (born 1971), professor at the University of Virginia (Tatt – Krushkal – Renardi polynomial for cell complexes, Example of Friedmann – Krushkal – Teichner of incompleteness of obstacles of a cut square and van Kampen) ^[13] .
• Daughter - Julia Krushkal Adkins (born 1968), a scientist in the field of molecular biology and bioinformatics at the National Institute of Oncology ^{[14] [15]} .
• Sisters - Tsypora Mikhel-Leibovna Krushkal, graduate of the Department of Technology and High Voltage Electrophysics of Tomsk Polytechnic Institute (1961) ^[16] ; mathematician Elena Michel-Leibovna Krushkal, graduate of the Faculty of Physics and Technology of the Novosibirsk Polytechnic Institute (1967), candidate of physico-mathematical sciences, researcher at the Institute of Nuclear Physics of the Siberian Branch of the USSR Academy of Sciences ^[17] .

• Variational methods in the theory of quasiconformal mappings. Novosibirsk: Novosibirsk State University, 1974. - 147 p.
• Quasiconformal mappings and Riemann surfaces. Novosibirsk: Science (Siberian Branch), 1975 .-- 194 p.
• Klein groups in examples and problems / S.L. Krushkal, B.N. Apanasov, N.A. Gusevsky. Novosibirsk: NSU, 1978.- 93 p.
• Uniformization and Klein groups / S.L. Krushkal, B.N. Apanasov, N.A. Gusevsky. Novosibirsk: NSU, 1979.- 92 p.
• Samuel L. Krushkal . Quasiconformal Mappings and Riemann Surfaces. Halsted Press, 1979.- 319 pp.
• Samuil L. Kruschkal, Reiner Kühnau . Quasikonforme Abbildungen - neue Methoden und Anwendungen. Leipzig: Teubner Verlagsgesellschaft, 1983.- 172 s.
• Quasiconformal mappings - new methods and applications / S.L. Krushkal, R. Künau. Novosibirsk: Science (Siberian Branch), 1984. - 216 p.

• The Krushkal – Hamilton theorem on extreme quasiconformal mappings (The Hamilton-Krushkal condition, The Hamilton-Krushkal-Reich-Strebel Theorem) ^[18]
• Bers - Krushkal decomposition theorem
• The Bers - Krushkal problem