Isotopical Realization Problem (joint with S. Melikhov)

Implicit function theorem for polynomial systems with vanishing Jacobian and it's applications to flexible structures

Polytopal bundle theory (joint with N. Mnev)

Metrically homogenuous spaces

An example of an integrable geodesic flow with positive entropy (join talk with I. Taimanov)

Global Structure Compact Hopf Hypersurfaces in Complex Space Form

Groups of polynomial transformations,nonformal symplectic manifolds and complex cobordisms

Rates of convergence in ergodic theorems

Ergodic Theory of One-dimensional Model of Drilling

The Minkowski measure of a contracted set

On a hyperbolic 5-manifold of finite volume

Special spines of branched coverings of S3

Dynamics of partially hyperbolic systems on three dimensional manifolds

Systoles of uniformly discrete lattices on higher Heisenberg groups with a Carnot-Caratheodory metric

On a solution of the Yang-Baxter equation

A classification approach for open manifolds

Reidemeister torsion and dynamical zeta functions in Nielsen theory

An equivariant analog of Poincare-Hopf theorem

The Rokhlin Conjecture about Arnold Surfaces and Quotients of Complex Surfaces by Complex Conjugation

About estimation of slice genus of links

On normal surfaces in 3-manifolds

Continuity of the uniformization function of linear foliation on three-dimensional torus with nonstandard metric

Unitary reflection groups associated with cyclically-invariant functions

Elliptic genera

Rates of convergence in ergodic theorems

Amenability, hyperfiniteness and isoperimetric properties of equivalence relations

Generic diffeomorphisms with superexponential growth of number of periodic points

Topological Invariants of Global Singularities

Milnor's $\mu$-invariants and higher dimensional link homotopy in arbitrary manifolds

Critical values of sectional curvature in Grassmanians

On invariants of knots in solid tori and reflection equation. (joint with A. Nikitin)

Lyapunov functions in estimates of dimension of attractors of dynamical systems

Foliations, groupoids and Baum-Connes conjecture

On transformation of special spines

Refined equilateral problem in Minkowski space

On Invariant Polynomials of some Knots

Semigroup of $d$--Diagrams and Algebra of Chord Diagrams

Almost representations of discrete groups and $K$-theory of classifying spaces

Projective structures and harmonic maps

Dynamical and topological methods in the theory of geodesically equivalent metrics

Computation in 3-manifold topology

joint talk with P. Akhmet'ev (joint with P. Akhmet'ev)

The Hirzebruch formula: 45 years of history and the present state

Real algebraic geometry and holomorphic amoebas

Polytopal bundle theory (joint with L. Anderson)

Four-vertex theorem and related topics

Hurwitz spaces

Pseudo-homotopy classification of higher dimensional singular links

On invariants of knots in solid tori and reflection equation. (joint with P. Kulish)

Schrodinger equation on the graphs and related topics

Riemann existence theorem and construction of real algebraic curves

Saddle singularities of integrable Hamiltonian systems as discrete integrable Hamiltonian systems

On special spines whose singular graph is splitted by every pair of vertices

Lefschetz zeta functions of gradients of circle-valued maps

Algebraic topology of torus actions on manifolds defined by simple polytopes

Generalized Lefschetz numbers of unitary endomorphisms of W-elliptic complexes

Genericity of the shadowing property for homeomorphisms

Quadratic property of the Kervaire semicharacteristic

Progress in the Classification of Decomposable Curves

Steenrod operations in certain cobordism theories

Immersions without triple points

Conley index and flows on four-manifolds

Knotted tori and the deleted product criterion

On dimension of quasicircles

On cocycle rigidity of Anosov actions

Invariants of links and knots on T-polyhedra

The Pontrjagin - Thom construction for singular maps and its applications to elimination of singularities

Congruence mod 16 for M-1 symmetric projective curve

Some spectral properties of the dynamical system managing the motion of rotating fluid

Actions of compact groups, C -index theorem, and families

Diagram formulas of Viro-Polyak type and the Kontsevich integral for $(2,n)$-torus knots

Order complexes of singular sets and topology of spaces of nonsingular projective varieties

Numerical invariants of countable groups and locally free approximation of braid groups

Homological properties of virtual braids

Real algebraic knot theory

Topological work of M. Gusarov (1958-1999)

Complex orientations of separating real algebraic curves on ruled surfaces

The linear deformation of discrete groups

Cohomology of local systems on hyperplane complements

Coverings of diffeomorphisms of surfaces with hyperbolic attractors

Non-stability of smooth 6-manifolds with $\pi_1=Z^3$

Rigid isotopies of real trigonal curves on Hirzebruch surfaces