Alexander Kuznetsov (mathematician)

Alexander Gennadyevich Kuznetsov (Russian: Александр Геннадьевич Кузнецов, born November 1, 1973) is a Russian mathematician working at the Steklov Mathematical Institute and J.-V. Poncelet laboratory, head of Laboratory of Algebraic Geometry and its Applications of the Higher School of Economics. He graduated from Moscow State School 57 in 1990. He received Ph.D. in 1998 under the supervision of Alexei Bondal. Kuznetsov is known for his research in algebraic geometry, mostly concerning derived categories of coherent sheaves and their semiorthogonal decompositions.

Kuznetsov received an August Möbius fellowship in 1997. He was awarded a European Mathematical Society prize in 2008. He was an invited speaker at the International Mathematical Congress in Seoul (2014). Kuznetsov is a Professor of the Russian Academy of Sciences (RAS), corresponding member of the RAS (elected in 2016).

Selected publications

• Homological projective duality, Publications Mathematiques de L’IHES, 105, n. 1 (2007), 157-220.
• Base change for semiorthogonal decompositions, Compositio Mathematica, V. 147 (2011) N. 3, 852–876.
• Derived categories of Fano threefolds, Proc. V.A.Steklov Inst. Math, V. 264 (2009), p. 110–122.
• Derived categories of quadric fibrations and intersections of quadrics, Advances in Mathematics 218 (5), 1340-1369.