Expository

h-Principle: geometric methods for solving partial differential equations/inequalities and the homotopy structure in the spaces of their solutions

Distance geometry in Riemannian manifolds and moduli spaces of those

Metric invariants and quantitative topology

Elliptic operators on open manifolds and infinite covering spaces

Infinite groups: curvature, combinatorics, probability, asymptotic geometry

Locally symmetric spaces, discrete groups and negative curvature

Positive scalar curvature

Symplectic manifolds and pseudo-holomorphic curves

Transformation groups : geometry and recurrence

Metric, measure, concentration and isoperimetric inequalities

Stein manifolds and infinite coverings of Kaehler manifolds

Infinite Cartesian products and symbolic geometry

Formalization of genetic and biomolecular structures

Miscellaneous