Career
His interests lie in quantum field theory and string theory. He has also done pioneering work in non-commutative geometry. Kapustin was born in Moscow, Russia on November 10, 1971.
After earning a Bachelor of Surgery in physics from Moscow State University, in 1993, he received his Doctor of Philosophy in the same subject from the California Institute of Technology (Caltech) in 1997.
His graduate adviser at Caltech was John Preskill. His celebrated recent work with Edward Witten rephrases the geometric version of the Langlands conjecture in terms of certain dualities in supersymmetric gauge theories.
He is the son of the pianist-composer Nikolai Kapustin. He gave an invited talk at the International Congress of Mathematicians in 2010, on the topic of "Mathematical Physics".