Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +7 (495) 616 91 54
E-mail: , ,
Keywords: K3 surface, Calabi–Yau manifold, mirror symmetry, Picard lattice, automorphism group, integral quadratic form, real algebraic geometry, hyperbolic reflection group, hyperbolic Kac–Moody algebra, Borcherds algebra, automorphic form.
UDC: 511.334, 512.542, 512.647.2, 512.774, 512.774.2, 512.774.4, 512.817.72, 512.818.4, 513.6, 511, 512.723, 512.817.6, 512.734, 519.46, 512.7, 512.774.5, 511.3, 511.6, 512.747, 512.647.4

Subject:

Algebraic geometry, mirror symmetry, arithmetic of quadratic forms, hyperbolic reflection groups, hyperbolic Kac–Moody algebras.

Main publications:

1. V. Alexeev, V. V. Nikulin, Del Pezzo and $K3$ surfaces, MSJ Memoirs, 15, Mathematical Society of Japan, Tokyo, 2006 , xvi+149 pp.    
2. V. A. Gritsenko, V. V. Nikulin, “Automorphic forms and Lorentzian Kac-Moody algebras. II”, Internat. J. Math., 9:2 (1998), 201–275          
3. V. A. Gritsenko, V. V. Nikulin, “Automorphic forms and Lorentzian Kac-Moody algebras. I”, Internat. J. Math., 9:2 (1998), 153–199          
4. V. V. Nikulin, “On the classification of arithmetic groups generated by reflections in Lobachevsky spaces”, Math. USSR-Izv., 18:1 (1982), 99–123            
5. V. V. Nikulin, “Konechnye gruppy avtomorfizmov kelerovykh poverkhnostei tipa $K_3$”, Tr. MMO, 38, Izd-vo Mosk. un-ta, M., 1979, 75–137      
6. V. V. Nikulin, “Integral symmetric bilinear forms and some of their applications”, Math. USSR-Izv., 14:1 (1980), 103–167            

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Division of Pure Mathematics of the Department of Mathematical Science of the University of Liverpool
• Moscow Mathematical Society