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Journals and Conferences
Departing from the symbolic dynamics, we study natural group action on spaces of holomorphic maps and complex subvarieties. Mathematics Subject Classifications (1991): 32Hxx, 58C10.
We study fundamental groups of Kähler manifolds via their cuts or
We present an asymptotic approach to small cancelation theory, and apply this method to the study of the free Burnside groups.
Mathematics is about ”interesting structures”. What make a structure interesting is an abundance of interesting problems; we study a structure by solving these problems. The worlds of science, as well as of mathematics itself, is abundant with gems (germs?) of simple beautiful ideas. When and how may such an idea direct you toward beautiful mathematics? I… (More)
In this note I study the Sasakian geometry associated to the standard CR structure on the Heisenberg group, and prove that the Sasaki cone coincides with the set of extremal Sasakian structures. Moreover, the scalar curvature of these extremal metrics is constant if and only if the metric has Φsectional curvature −3. I also briefly discuss some relations… (More)
Following the prints of Smale’s horseshoe, we trace the problems originated from the interface between hyperbolic stability and the Abel-JacobiAlbanese construction. 1 Abelianization, Super-stability and Univer-
This paper is devoted to the study of quotients of finite metric spaces. The basic type of question we ask is: Given a finite metric space M and α ≥ 1, what is the largest quotient of (a subset of) M which well embeds into Hilbert space. We obtain asymptotically tight bounds for these questions, and prove that they exhibit phase transitions. We also study… (More)
We attempt to formulate several mathematical problems suggested by structural patterns present in biomolecular assemblies. Our description of these patterns, by necessity brief and over-concentrated in some places, is self-contained, albeit on a superficial level. An attentive reader is likely to stumble upon a cryptic line here and there; however, things… (More)