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Alexander Nenashev

Associate Professor

Mathematics

   C232 York Hall
   416-736-2100x88200
   nenashev@gl.yorku.ca

Doctorate:
St. Petersburg (Leningrad) Section of Steklov Mathematical Institute of the Russian Academy of Sciences, 1986
Masters:
St. Petersburg (Leningrad) State University, Department of Mathematics, 1983

Journal Articles

On the Witt groups of projective bundles and split quadrics: geometric reasoning, J. K-Theory 3 (2009), no. 3, 533-546.    
 
Projective push-forwards in the Witt theory of algebraic varieties, Adv. Math. 220 (2009), no. 6, 1923-1944.    
 
Gysin maps in Balmer-Witt theory, J. Pure Appl. Algebra 211 (2007), 203-221.    
 
Gysin maps in oriented theories, J. of Algebra 302 (2006), 200-213.    
 
Oriented cohomology and motivic decomposition of relative cellular spaces (with K. Zainoulline), J. Pure Appl. Algebra 205 (2006), no. 2, 323-340.    
 
K_2 of a ring via the G-construction, K-Theory 34 (2005), no. 3, 219-232.    
 
Projective bundle theorem in homology theories with Chern structure, Documenta Math. 9 (2004), 487-497.    
 
Pairings in triangular Witt theory (with. S. Gille), J. of Algebra 261 (2003), 292-309.    
 
Categorical and simplicial constructions and dualization in algebraic K-theory, K-Theory 24 (2001), no. 4, 327-340.    
 
Double short exact sequences and K_1 of an exact category, K-Theory 14 (1998), no. 1, 23-41.    
 
K_1 by generators and relations, J. Pure Appl. Algebra 131 (1998), no. 2, 195-212.    
 
Simplicial determinant maps and the second term of weight filtrations, Amer. Math. Soc. Transl. (2), vol. 174, AMS, Providence, RI, 1996, pp. 79-93.     
 
Double short exact sequences produce all elements of Quillen's K_1, in Algebraic K-Theory (S. Banaszak et al., Ed.), Contemp. Math., vol. 199, AMS, Providence, RI, 1996, pp. 151-160.    
 
Comparison theorem for lambda operations in higher algebraic K-theory, Asterisque 226 (1994), 335-369.    
 
On the Koeck's conjecture on shuffle products, Proc. St. Petersburg Math. Soc. 3 (1994) (Russian); English transl. in Amer. Math. Soc. Transl. (2), vol. 166, AMS, Providence, RI, 1995, pp. 235-267.    
 
Simplicial definition of lambda operations in higher K-theory, Adv. Soviet Math., vol. 4, AMS, Providence, RI, 1991, pp. 9-20.    
 
Multiplicative properties of the Fourier coefficients of Siegel modular forms for principal congruence subgroups of the group Sp(n,Z), Math. USSR Sbornik 60 (1988), no. 1, 237-254.    
 
Siegel cusp modular forms and cohomology, Math. USSR Izvestiya 29 (1987), no. 3, 559-586.    
 
On the Hecke operators for principal congruence subgroups of the group Sp(n,Z), Zap. nauch. sem. LOMI 154 (1986), 130-135 (Russian); English transl. in J. Soviet Math. 43 (1988), no. 4, 2592-2596.    
 
Eichler-Shimura cohomology for Siegel modular forms, Zap. nauch. sem. LOMI 144 (1985), 128-135 (Russian); English transl. in J. Soviet Math. 38 (1987), no. 4, 2125-2131.    

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