Aleksandr Danilovich Aleksandrov
Aleksandr Aleksandrov  

A.D. Aleksandrov, 1952, after becoming a rector of the Leningrad State University


Born  Volyn, Ryazan Governorate, Russian Empire (today Ryazan Oblast, Russia) 
August 4, 1912
Died  July 27, 1999 Saint Petersburg, Russia 
(aged 86)
Nationality  Soviet Union 
Fields  Mathematics, physics 
Institutions  Novosibirsk State University Leningrad State University 
Alma mater  Leningrad State University 
Doctoral advisors  Vladimir Fok Boris Delaunay 
Doctoral students  Yuri Burago Vladik Kreinovich Aleksandr Kuz'minykh Grigori Perelman Alexei Pogorelov Yuri Reshetnyak Victor Zalgaller 
Aleksandr Danilovich Aleksandrov (Russian: Алекса́ндр Дани́лович Алекса́ндров, alternative transliterations: Alexandr or Alexander (first name), and Alexandrov (last name)) (August 4, 1912 – July 27, 1999), was a Soviet/Russian mathematician, physicist, philosopher and mountaineer.
Contents
Scientific career
Aleksandr Aleksandrov was born in 1912 in Volyn village, Ryazan Oblast.^{[1]} He graduated from the Department of Physics of Leningrad State University. His advisors there were Vladimir Fock, a physicist, and Boris Delaunay, a mathematician. In 1933 Aleksandrov worked at the State Optical Institute (GOI) and at the same time gave lectures at the Department of Mathematics and Mechanics of the University. He completed his Ph.D. in 1935 at the University and later in 1937 — a D.Sc. dissertation. He became a professor at the University, while also working at LOMI, the Leningrad Department of the Steklov Mathematical Institute (now PDMI, Petersburg Department of the Mathematical Institute). In 1951 he became a member of the Communist Party. Appointed the rector of the university in 1952, Aleksandrov remained in this position until 1964. In 1946 he became a corresponding member, and in 1964 — a full member of the USSR Academy of Sciences. Since 1975 he was also a member of the Accademia Nazionale dei Lincei.
Aleksandr Aleksandrov should not be confused with Pavel Alexandrov, another mathematician at the Steklov Institute.
From 1964 to 1986 Aleksandrov lived in Novosibirsk, heading the Laboratory of Geometry of the Institute of Mathematics of the Siberian Division of the USSR Academy of Sciences, teaching at Novosibirsk State University. In 1986 he returned to Leningrad (now Saint Petersburg) to head the geometry laboratory at LOMI.
Awards
Partial list of the awards, medals, and prizes of Aleksandrov:
 Stalin Prize (1942)
 Lobachevsky International Prize (1951)
 Euler Gold Medal of the Russian Academy of Sciences (1992)
One of many orders that he was awarded was given to him in 1990 for his opposition to Lysenkoism, which deviated from standard theories of genetics; it was embraced during Stalin's rule but later considered a pseudoscience.
Works by Aleksandrov
Aleksandrov wrote a multitude of books, scientific papers, textbooks for various levels (schools to universities). He also wrote nonmathematical papers, memoirs about famous scientists, and philosophical essays dealing with the moral values of science.
A full bibliography is available in [1]. Selected works are available in English:
 Alexandrov, A.D. Combinatorial topology. Volumes IIII. 1947 Translated by Horace Komm in 1956. Graylock LCCN 5613930
 Alexandrov, A.D. Selected works. Part 1: Selected scientific papers. Amsterdam: Gordon and Breach Publishers. x, 322 p. (1996). ISBN 2881249841
 Alexandrov, A.D. Selected works. Intrinsic geometry of convex surfaces. Vol. 2. Boca Raton, FL: Chapman & Hall/CRC. xiii, 426 p. (2005). ISBN 0415298024
 Alexandrov, A.D. Convex polyhedra. Springer: Berlin. xi, 539 p. (2005). ISBN 3540231587
Students of Aleksandrov
 I. Liberman, S. Olovianishnikoff, P. Kostelyanetz — all the three of them died on the battlefields of the World War II
 A. Pogorelov — from Kharkov
 A. Yusupov — from Bukhara
 Students from the Aleksandrov Leningrad period (ordered by the time of joining the seminars): Yu. Borisov, V. Zalgaller, Yu. Reshetnyak, I. Bakelman, Yu. Volkov, A. Zamorzaev, S. Bogacheva (who later married Aleksandrov), Yu. Borovskii, R. Pimenov
 Sobchuk and Starokhozyayev — from Ukraine
 G. Rusiyeshvili — from Georgia (country)
 B. Frank and H. Frank — from Germany
 Yu. Burago, V. Kreinovich; Grigori Perelman
 Moved from AlmaAta after Aleksandrov's lecture tour there: M. Kvachko, V. Ovchinnikova, E. Sen'kin
 Stayed in AlmaAta: A. Zilberberg, V. Strel'cov, D. Yusupov
 Novosibirsk students: A. Guts, A. Kuz'minykh, A. Levichev, and A. Shaidenko.
Both in St. Petersburg and Novosibirsk Aleksandrov participated in joint research also with some of his students' students. Several of them became his coauthors: V. Berestovskii, A. Verner, N. Netsvetaev, I. Nikolaev, and V. Ryzhik.
His last Ph.D. student was Grigori Perelman who proved Thurston's geometrization conjecture in 2002/2003 which contains the Poincaré conjecture as a special case.
Mountaineering
Aleksandrov became attracted to alpinism under the influence of his advisor Boris Delaunay. In the summer of 1937, after defending his D.Sc.,
 …together with I. Chashnikov he makes a first climb to the Chotchi summit, and with K. Piskaryov performs a climb of BuUl'gen via the western wall (one of the first wall climbs in the history of the Soviet alpinism).
[…] In 1940 he participates in a recordmaking traversal[…] He manages, almost by a miracle, to stop the fall of A. Gromov, who had fallen along with a snow shelf. It was with this traversal that Aleksandrov completed the alpinist sports master requirements. The GermanSoviet War postponed awarding him this honorary title until 1949. (See A.D. Aleksandrov in the mountains (an alpinist biography), Savvon S.M., [1], p.182–183)
During his rectorship, Aleksandrov also advanced the mountaineering sport activities in the university, actively participating in the climbs.
The fiftieth birthday was celebrated by Aleksandrov in the mountains with his friends. On that day he made a solo first climb of an
 …unnamed peak 6222 m (Shakhdarinsk ridge, Pamir), that as he suggested was then named "The peak of the Leningrad university."
During later years Aleksandrov didn't undertake climbs due to health problems, yet he never ceased dreaming of climbs. Finally, in 1982, the year of his seventieth birthday, he, together with K. Tolstov, performs in Tian Shan his last climb, of the Panfilov Peak…

 (same source)
See also
 CAT(k) space
 Cauchy's theorem
 Alexandrov theorem
 Aleksandrov–Rassias problem
 Alexandrov–Fenchel inequality
 Alexandrov's uniqueness theorem
References
 Академик Александр Данилович Александров. Воспоминания. Публикации. Материалы. (Academician Aleksandr Danilovich Aleksandrov. Recollections. Publications. Biographical materials, in Russian). Editors: G.M. Idlis and O.A. Ladyzhenskaya. Moscow, Nauka publishing house, 2002.
 Yu. F. Borisov, "On the 90th anniversary of the birth of A.D. Aleksandrov (1912–1999)", Russ. Math. Surv., 2002, 57 (5), 1017–1031.
 Yu. F. Borisov, V.A. Zalgaller, S.S. Kutateladze, O.A. Ladyzhenskaya, A.V. Pogorelov, Yu. G. Reshetnyak, "К 90летию со дня рождения А.Д. Александрова (1912–1999)", Uspekhi Mat. Nauk, 2002, 57 (5), 169–181.
 Liyun Tan and Shuhuang Xiang, On the AleksandrovRassias problem and the HyersUlamRassias stability problem, Banach Journal of Mathematical Analysis, 1(1)(2007), 11–22.
 A.M. Vershik, "Alexander Danilovich as I knew him (in Russian).",St. Petersburg University, No. 34 (2004), 36–40.
 Shuhuang, Xiang, On the AleksandrovRassias problem for isometric mappings, Functional Equations, Inequalities and Applications, Kluwer Acad. Publ., Dordrecht, 2003, pp. 191–221.
External links
 O'Connor, John J.; Robertson, Edmund F., "Aleksandr Danilovich Aleksandrov", MacTutor History of Mathematics archive, University of St Andrews<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. (with additional photos)
 Aleksandr Danilovich Aleksandrov at the Mathematics Genealogy Project (incomplete students listing as of December 2004)
 Review of Alexandrov's "Convex Polytopes" – by R. Connelly, published at the Mathematical Reviews.
 Alexandr Danilovich Alexandrov – biography, reminiscences, references (from St. Petersburg Mathematical Society website)
 Alexandrov Par Excellence  by S.S. Kutateladze
 Alexandrov of Ancient Hellas  by S.S. Kutateladze
 Author profile in the database zbMATH
 Articles containing Russianlanguage text
 1912 births
 1999 deaths
 20thcentury philosophers
 20thcentury mathematicians
 Russian mathematicians
 Russian mountain climbers
 Russian physicists
 Soviet mountain climbers
 Soviet mathematicians
 Soviet physicists
 Differential geometers
 Full Members of the USSR Academy of Sciences
 Full Members of the Russian Academy of Sciences
 Saint Petersburg State University alumni
 Stalin Prize winners
 Rectors of Saint Petersburg State University
 Novosibirsk State University faculty