2003, Volume 3, Number 2

This issue of the Moscow Mathematical Journal is dedicated to Vladimir I. Arnold on the occasion of his 65^th birthday.

	Vladimir Igorevich Arnold S. M. Gusein-Zade, Yu. S. Ilyashenko, A. G. Khovanskii, M. A. Tsfasman, V. A. Vassiliev		261
	Infinite families of exact periodic solutions to the Navier–Stokes equations O. I. Bogoyavlenskii		263
	The combinatorial geometry of singularities and Arnold's series $E$, $Z$, $Q$ E. Brieskorn, A. M. Pratusevich, F. Rothenhäusler		273
	On families of symmetric matrices J. W. Bruce		335
	On the legacy of free divisors. II. Free* divisors and complete intersections J. Damon		361
	On Cohen–Macaulay modules on surface singularities Yu. A. Drozd, G.-M. Greuel, I. Kashuba		397
	Geometry of the triangle equation on two-manifolds I. A. Dynnikov, S. P. Novikov		419
	Indices of 1-forms on an isolated complete intersection singularity W. Ebeling, S. M. Gusein-Zade		439
	Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator G. Felder, L. J. Stevens, A. N. Varchenko		457
	$A_{n-1}$ singularities and $n$KdV hierarchies A. B. Givental'		475
	Simple symmetric matrix singularities and the subgroups of Weyl groups $A_\mu$, $D_\mu$, $E_\mu$ V. V. Goryunov, V. M. Zakalyukin		507
	Morse–Smale circle diffeomorphisms and moduli of elliptic curves Yu. S. Ilyashenko, V. S. Moldavskii		531
	Effectivisation of a string solution of the $2D$ Toda hierarchy and the Riemann theorem about complex domains S. M. Natanzon		541
	Quasialgebraicity of Picard–Vessiot fields D. Novikov, S. Yu. Yakovenko		551
	Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry–Mather theory G. P. Paternain, L. V. Polterovich, K. Siburg		593
	Critical points of functions, $\mathfrak{sl}_2$ representations, and Fuchsian differential equations with only univalued solutions I. G. Scherbak, A. N. Varchenko		621
	Counting real rational functions with all real critical values B. Z. Shapiro, A. D. Vainshtein		647
	Deformations of polynomials, boundary singularities and monodromy D. Siersma, M. Tibăr		661
	On skew loops, skew branes and quadratic hypersurfaces S. L. Tabachnikov		681
	Virial functionals in fluid dynamics V. A. Vladimirov, K. I. Ilin		691
	Eleven great problems of mathematical hydrodynamics V. I. Yudovich		711