Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 18.12.1962
Phone: +7(495) 430 90 61
E-mail: ,
Website: https://www.liverpool.ac.uk/mathematical-sciences/staff/aleksandr-pukhlikov/
Keywords: algebraic variety, Fano variety, Fano fibration, birational map, birational rigidity, divisor, linear system, singularity, intersection theory, optimal control, optimal system, discontinuous Hamiltonian system.
UDC: 512.76, 512.776, 512.724, 517.977, 513.6, 512.7, 519.6, 517.938
MSC: 14E05, 14E07, 14E08, 14J45, 14J30, 14M10, 14M20, 14M25, 14D06, 93C10, 37D40, 90C15, 34H05, 34D05, 93D05, 49K15

Subject:

Birational geometry of higher-dimensional algebraic varieties.

Main publications:

1. A. Pukhlikov, Birationally Rigid Varieties, Mathematical Surveys and Monographs, 190, Amer. Math. Soc., Providence, RI, 2013 , 367 pp.      
2. A. V. Pukhlikov, “Birationally rigid Fano fibrations”, Izv. Math., 64:3 (2000), 563–581              
3. A. V. Pukhlikov, “Birationally rigid Fano double hypersurfaces”, Sb. Math., 191:6 (2000), 883–908                
4. A. V. Pukhlikov, “Birational automorphisms of Fano hypersurfaces”, Invent. Math., 134:2 (1998), 401–426              
5. A. V. Pukhlikov, “Birational automorphisms of algebraic threefolds with a pencil of Del Pezzo surfaces”, Izv. Math., 62:1 (1998), 115–155                

Recent publications

Presentations in Math-Net.Ru

Personal pages:

• 
• 
• 
• 
• 

Organisations:

• University of Liverpool
• Department of Mathematical Sciences, University of Liverpool
• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Institute for Systems Analysis of Russian Academy of Sciences
• Scientific Research Institute for System Studies of RAS, Moscow
• Moscow Mathematical Society