Papers and preprints sorted by topic
Selected talks
Papers in Reverse Chronological Order  

23. Frameworks for Twodimensional Keller Maps. Electronic Journal of Combinatorics 27(3) (2020), 3.54 

22. Geometrically Nilpotent Subvarieties. Finite Fields Appl. 50 (2018), 366371. 

21. On the Stein factorization of resolutions of twodimensional Keller maps. Beitr. Algebra Geom. 56 (2015), no. 1, 299312. 

20. On two invariants of divisorial valuations at infinity. J. Algebraic Combinatorics 39 (2014), no. 3, 691710. 

19. Corrigendum to "Quantum integers and cyclotomy'' [J. Number Theory 109 (1) (2004) 120135] . J. Number Theory 145 (2014), 632634. 

18. On the log discrepancies in Mori contractions (with Valery Alexeev). Proc. Amer. Math. Soc. 142 (2014), no. 11, 36873694. 

17. Iterations of Integer Polynomial Maps Modulo Primes. J. Integer Sequences 16 (2013), no. 8, Article 13.8.3. 

16. On Empty Lattice Simplices in Dimension 4 (with Margherita Barile, Dominique Bernardi, and JeanMichel Kantor). Proc. Amer. Math. Soc. 139 (2011), no. 12, 42474253. 

15. A congruence Problem for Polyhedra (with Mark Dickinson and Stuart Hastings) Amer. Math. Monthly 131 (2010) 232249. 

14. Polynomial maps over padics and residual properties of mapping tori of group endomorphisms (with M. Sapir). Int. Math. Res. Not. IMRN (2009) no.16, 30023015. 

13. Quotient singularities, integer ratios of factorials and the Riemann Hypothesis. Int. Math. Res. Not. IMRN 2008 (2005) no.15, Art. ID rnn052. 

12. Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms (with M. Sapir). Inventiones Math. 160 (2005) no.2, 341356. 

11. Quantum integers and cyclotomy (with Melvyn Nathanson and Yang Wang). J. Number Theory 109 (2004), no. 1, 120135. 

10. On a Question of Craven and a Theorem of Belyi. Proc. Amer. Math. Soc. 131 (2003), no. 12, 36773679. 

9. Directional rational approximations with some applications to algebraic geometry (with V.V. Shokurov). [Russian] Tr. Mat. Inst. Steklova 240 (2003), Biratsion. Geom. Linein. Sist. Konechno Porozhdennye Algebry, 7381; translation in Proc. Steklov Inst. Math. 2003, no. 1 (240), 6674. 

8. Convolution structures and arithmetic cohomology. Compositio Math. 136 (2003), no. 3, 237254. 

7. Boundedness of Fano threefolds with logterminal
singularities of given index. J. Math. Sci. Univ. Tokyo 8 (2001), no. 2, 329342. 

6. Classes of polynomials having only one noncyclotomic
irreducible factor (with M. Filaseta, T.Y. Lam, and O. Trifonov). Acta Arithmetica 90 (1999), no. 2, 121153. 

5. On classification of toric singularities. Algebraic Geometry. 9. J. Math. Sci. (New York) 94 (1999), no. 1, 11111113. 

4. On some polynomials allegedly related to the abc conjecture. Acta
Arithmetica, 84 (1998), no. 2, 109128. 

3. Minimal discrepancies of toric singularities. Manuscripta Math. 92 (1997), no. 1, 3345.


2. Boundedness theorem for Fano logthreefolds. J. Algebraic Geom. 5 (1996), no. 1, 119133. 

1. Singular toric Fano varieties (with Lev Borisov). [Russian] Mat. Sbornik 183 (1992), no. 2, 134141; translation in Russian Acad. Sci. Sb. Math. 75 (1993), no. 1, 277283. 