Nerkrasov was born in Moscow, Russia and attended the Moscow State 57th School, graduating in 1989. He graduated with honors from Moscow Physical Technical Institute in 1989. Nekrasov did his graduate work at Princeton University, receiving his PhD in 1996. His dissertation was on Four Dimensional Holomorphic Theories and his advisor was the noted physicist David Gross.
Following completion of his PhD he was a junior fellow at Harvard University from 1996–1999, and was a Robert. H. Dicke Fellow, Princeton University from 1999-2000. From 1999-2005 he was associated as a Program Coordinator and General Member at the Kavli Institute for Theoretical Physics of the University of California Santa Barbara, among other positions. In 2000 he became a permanent professor at the Institut des Hautes Études Scientifiques. During 2010 he was a visitor at the C. N. Yang Institute for Theoretical Physics and Simons Center for Geometry and Physics at Stony Brook University. In 2013, he moved to the Simons Center for Geometry and Physics at Stony Brook University as a full professor.
- Who's Who in France. 2004.
- "Professional CV". Retrieved 6 September 2010.
- "Mathematics Genealogy Project". Retrieved 6 September 2010.
- "People at the CNYITP". Retrieved 6 September 2010.
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