Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 1.11.1973
Phone: +7 (499) 135 25 49
E-mail:
Keywords: derived categories of coherent sheaves, Fano manifolds.
UDC: 512.73, 512.7, 62-505, 536.7

Subject:

Algebraic Geometry.

Main publications:

1. A. Kuznetsov, “Derived categories of cubic fourfolds”, Cohomological and geometric approaches to rationality problems, Progr. Math., 282, Birkhäuser Boston Inc., Boston, MA, 2010, 219–243 , arXiv: 0808.3351            
2. A. Kuznetsov, “Lefschetz decompositions and categorical resolutions of singularities”, Selecta Math. (N.S.), 13:4 (2008), 661–696            
3. A. Kuznetsov, “Homological projective duality”, Publ. Math. Inst. Hautes Études Sci., 2007, no. 105, 157–220          
4. A. G. Kuznetsov, “Hyperplane sections and derived categories”, Izv. Math., 70:3 (2006), 447–547                  
5. A. Kapustin, A. Kuznetsov, D. Orlov, “Noncommutative instantons and twistor transform”, Comm. Math. Phys., 221:2 (2001), 385–432              

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Steklov International Mathematical Center
• Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow
• Laboratoire J.-V. Poncelet
• Lomonosov Moscow State University