**Iterations of Polynomial Maps, with Applications to Group Theory:**

Iterarions of Integer Polynomial Maps Modulo Primes. Preprint (2013). *J. Integer Sequences,* to appear.

Polynomial maps over p-adics and residual properties of mapping tori of group endomorphisms, (with M. Sapir). * Int. Math. Res. Not. IMRN * ** (2009) ** no.16, 3002--3015.

Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms, (with M. Sapir). *Inventiones Math., * ** 160 ** (2005) no.2, 341--356.

**Toric Varieties and Lattice Polytopes:**

On the log discrepancies in Mori contractions (with Valery Alexeev). Preprint (2012). *Proc. Amer. Math. Soc.,* to appear.

On Empty Lattice Simplices in Dimension 4 (with Margherita Barile, Dominique Bernardi, and Jean-Michel Kantor). * Proc. Amer. Math. Soc., * ** 139 ** (2011), no. 12, 4247--4253.

Quotient singularities, integer ratios of factorials and the Riemann Hypothesis, *Int. Math. Res. Not. IMRN * ** 2008 ** (2005) no.15, Art. ID rnn052 (19 pages).

Convex lattice polytopes and cones with few lattice points inside, from a birational geometry viewpoint,
preprint.

On classification of toric singularities, Algebraic Geometry. 9. *J. Math. Sci.
(New York)* **94 **(1999), no. 1, 1111--1113.

Minimal discrepancies of toric singularities,
*Manuscripta Math.* **92 **( 1997 ), no. 1, 33 -- 45.

**Two-dimensional Jacobian Conjecture and Related Topics:**

On two invariants of divisorial valuations at infinity. Preprint (2012). * J. Algebraic Combinatorics,* to appear.

On the Stein factorization of resolutions of Jacobian self-maps of P^2. Preprint (2012). Submitted.

On Resolution of Compactifications of Unramified Planar Self-maps. Preprint (2011-12). Unpolished, will not be submitted.

**Applications of Harmonic Analysis to Number Theory:**

Positive positive-definite functions and measures on locally compact abelian groups, preprint.

Convolution structures and arithmetic cohomology,
*Compositio Math.,* **136** (2003), no. 3, 237--254.

**Fano Varieties:**

Boundedness of Fano threefolds with log-terminal
singularities of given index, *J. Math. Sci. Univ. Tokyo,* **8** (2001), no. 2, 329--342.

Boundedness theorem for Fano log-threefolds, *J. Algebraic Geom.* **5 **(1996), no. 1, 119--133.

**Rational Polynomials:**

On a Question of Craven and a Theorem of Belyi, *Proc. Amer. Math. Soc.* ** 131 ** (2003), no. 12, 3677--3679.

Classes of polynomials having only one non-cyclotomic
irreducible factor, *Acta Arithmetica,* **90 **(1999), no. 2, 121--153 (with M.
Filaseta, T.-Y. Lam, and O. Trifonov)

On some polynomials allegedly related to
the abc conjecture, *Acta
Arithmetica*, **84 **(1998), no. 2, 109--128.

**Miscellaneous:**

A congruence Problem for Polyhedra (with Mark Dickinson and Stuart Hastings)*Amer. Math. Monthly* ** 131** (2010) 232--249.