Sergei Novikov is another Fields Medalist. He was born on 20th of March in 1938 is Gorky, Soviet Union. He is one of the most respected Russian mathematicians noted for his work in various fields like solution theory and algebraic topology. Back in 1970, he was awarded the Fields Medal for his extraordinary work in the field. He is best known for his work including Adams-Novikov spectral sequence, Novikov conjecture, Morse-Novikov theory, Novikov-Shubin invariant, Novikov ring and others.
Early Life and Education
Sergei Novikov was born in Gorky, Sovie Union. He grew up in a family of very talented mathematicians. He was greatly influenced by his father Pyotr Sergeyevich who was also a mathematician. His father greatly influenced various mathematics fields. He gave the negative solution of the major word problem for groups. Sergei’s mother Lyudmila Vsevolodovna Keldysh and his uncle Mstislav Vsevolodovich were also prominent names in the field of mathematics.
Sergei was accepted at the one of the most prominent universities, Moscow State University back in 1955. He earned his graduate degree five years later. Then four years later after earning his graduate degree, he was awarded by the Moscow Mathematical Society. That same year he defended his dissertation for the major Candidate of Science in Physics and Mathematics degree at the prominent Moscow State University. His dissertation is equivalent to the Ph.D. Then in 1965, he finally defended his dissertation and became the Doctor of Science in Physics and Mathematics. The following year he became a prominent member of the USSR Academy of Sciences.
Novikov’s Research in Topology
Sergei Novikov’s early work was mainly in cobordism theory. Among his many advances, he was able to show a powerful tool in the Adams spectral sequence. His work later was adopted in the calculation of homotopy groups. His work in the Adams spectral sequence led to his theory named Adams-Novikov spectral sequence that soon became a fundamental tool in the field of stable homotopy theory. His other important researches revolve around geometric topology. He proved the major problem of the topological invariance of the Pontryagin classes and later posed his own conjecture named Novikov conjecture. His work in topology was widely recognized, so in 1970 he was awarded the Fields Medal.
In addition to being one of the Fields medalists, he received many other awards like Lenin Prize back in 1967, the Lobachevsky Medal in 1981 and the Wolf Prize in 2005. Since 1971, Sergei has worked at the prominent Landau Institute for Theoretical Physics of the most prominent USSR Academy of Sciences. Then in 1981, he became a Full Member of the Russian Academy of Sciences. Ten years later, he was elected as the Head of the Chair in Higher Geometry and Topology at the most prestigious Moscow State University. Since 2005, he is also a professor at the University of Maryland College of Computer, Mathematical, and Natural Sciences.