Sergei Novikov in nLab

Sergei Novikov (Russian: Серге́й Петро́вич Но́виков) was a Russian mathematician, (20 March 1938 – 6 June 2024), Fields medalist (1970).

• Wikipedia entry

His father was also a mathematician Pyotr Sergeyevich Novikov, with major results in mathematical logics.

Selected writings

On cobordism theory (MO, MSO, MU, MSU and MSp):

• Sergei Novikov, Homotopy properties of Thom complexes, Mat. Sbornik 57 (1962), no. 4, 407–442, 407–442 (pdf, pdf)

On the Adams-Novikov spectral sequence:

• Sergei Novikov, The methods of algebraic topology from the viewpoint of cobordism theories, Izv. Akad. Nauk. SSSR. Ser. Mat. 31 (1967), 855–951 (Russian). (Novikov67)

On formal groups and Adams operations:

• Victor M. Buchstaber, Sergei P. Novikov, Formal groups, power systems and Adams operators, Math. USSR-Sb.13 (1971) 80-116 [doi:10.1070/SM1971v013n01ABEH001030]

On differential topology and differential geometry:

• B. A. Dubrovin, Sergei Novikov, A. T. Fomenko, Modern Geometry — Methods and Applications: Part II: The Geometry and Topology of Manifolds, Graduate Texts in Mathematics 104, Springer-Verlag New York, 1985

On differential topology and algebraic topology:

• Sergei Novikov, Topology I – General survey, in: Encyclopedia of Mathematical Sciences Vol. 12, Springer 1986 (doi:10.1007/978-3-662-10579-5, pdf)

• Adams-Novikov spectral sequence

• Novikov conjecture

• Landweber-Novikov theorem

basic differential topology:

• degree of a continuous function

• Hopf degree theorem

• Poincaré–Hopf theorem

• Brouwer fixed point theorem

• multivalued group