Vladimir Gerdt
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Vladimir P. Gerdt (21 January 1947—January 5, 2021) was a Russian mathematician and a full professor at the
Joint Institute for Nuclear Research The Joint Institute for Nuclear Research (JINR, russian: Объединённый институт ядерных исследований, ОИЯИ), in Dubna, Moscow Oblast (110 km north of Moscow), Russia, is an international research c ...
(JINR) where he was the head of the Group of Algebraic and Quantum Computations. His research interests were concentrated in computer algebra, symbolic and algebraic computations, algebraic and numerical analysis of nonlinear differential equations,
polynomial equations In mathematics, an algebraic equation or polynomial equation is an equation of the form :P = 0 where ''P'' is a polynomial with coefficients in some field, often the field of the rational numbers. For many authors, the term ''algebraic equation'' ...
, applications to mathematics and physics, and quantum computation with over 210 published articles.


Biography

Gerdt, who was born in
Engels Friedrich Engels ( ,"Engels"
''
MSc in theoretical physics from
Saratov State University Saratov Chernyshevsky State University (russian: Саратовский государственный университет имени Н. Г. Чернышевского, СГУ, transcribed as SGU) is a major higher education and research inst ...
in 1971, his PhD in theoretical and mathematical physics from JINR in 1976, and his
D.Sc. Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used f ...
in mathematics and computer science from JINR in 1992. He also did graduate studies in theoretical physics at the
Lomonosov Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
(1969-1971). After his MSc he worked as an engineer-programmer (1971-1975) and as a junior researcher (1975-1977) at the JINR Department of Radiation Safety developing software for neutron spectroscopy. In 1977 he moved to the JINR Laboratory of Computing Techniques and Automation renamed in 2000 as Laboratory of Information Technologies for doing research in computer algebra. He worked as a researcher (1977-1980) and as a senior researcher (1980-1983), and since 1983 as the head of the research group on computer algebra, currently the Group of Algebraic and Quantum Computations. Gerdt designed a number of original algorithms and software packages for the investigation of differential equations as well as for the transformation of polynomial and differential systems into the canonical involutive form that alleviates their analysis and the construction of their solutions. In the case of polynomial, differential, and difference systems their involutive form is a
Gröbner basis In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring over a field . A Gröbn ...
. He was a member of the editorial board of the
Journal of Symbolic Computation The ''Journal of Symbolic Computation'' is a peer-reviewed monthly scientific journal covering all aspects of symbolic computation published by Academic Press and then by Elsevier. It is targeted to both mathematicians and computer scientists. It ...
, the leading international journal specialized in the area of symbolic and algebraic computation, since its foundation in 1985. In 1997 he co-founded the annual international conference Computer Algebra in Scientific Computing with
Ernst W. Mayr Ernst Walter Mayr (; 5 July 1904 – 3 February 2005) was one of the 20th century's leading evolutionary biologists. He was also a renowned taxonomist, tropical explorer, ornithologist, philosopher of biology, and historian of science. His ...
and since that time was a general chair of this conference. Gerdt was married to Evgenia Almazova and had two sons, Anton and Peter. Gerdt died in 2020 of COVID-19.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9643914/


Selected works

* *Gerdt, Vladimir P. Involutive algorithms for computing Gröbner bases. Computational Commutative and Non-Commutative Algebraic Geometry, Amsterdam, IOS Press, 2005. *Gerdt, Vladimir P., Yuri A. Blinkov, and Denis A. Yanovich. "Construction of Janet Bases I. Monomial Bases." Computer Algebra in Scientific Computing CASC 2001. Springer Berlin Heidelberg, 2001. 233–247. *Gerdt, Vladimir P., Aleksey Y.Zharkov. "Solution of Chew-Low Equations in the Quadratic Approximation", Sov. Theor. Math. Phys. (Teor. Mat. Fiz., 52, 3, 1982, 384–392), 52, 3, 1983, 868–874. *Gerdt, Vladimir P., Aleksey Y.Zharkov. "A REDUCE Package for Solving of Ordinary Differential Equations", Proceedings of the Second International Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics (Dubna, 21–23 September 1982), JINR D11-83-511, Dubna, 1983, 171–177. *Gerdt, Vladimir P., Aleksey Y.Zharkov. "Iterative Method of Construction of General Solution of the Chew-Low Equation", Proceedings of the Second International Conference on Systems and Techniques of Analytical Computing and Their Applications in Theoretical Physics (Dubna, September 21–23, 1982), JINR D11-83-511, Dubna, 1983, 232–241. *Gerdt, Vladimir P., Aleksey Y.Zharkov."Cubic Approximation and Local Limitations on the Functional Arbitrariness in the General Solution of the Chew-Low Equations", Sov. Theor. Math. Phys. (Teor. Mat. Fiz., 55, 3, 1983, 469–474), 52, 3, 1983, 626–639. *Gerdt, Vladimir P., Aleksey Y.Zharkov. "Methods of Investigating and Solving Differential Equations by Means of Algebraic Computation", In: "Systems for Analytical Transformations in Mechanics", Gorky, 1984, 16–19.


References

{{DEFAULTSORT:Gerdt, Vladimir 1947 births 2021 deaths Russian mathematicians Russian people of German descent Russian and Soviet-German people People from Engels, Saratov Oblast Moscow State University alumni Saratov State University alumni Deaths from the COVID-19 pandemic in Russia