Research

Research interests: Geometric group theory and related questions in low-dimensional topology and coarse geometry. Group based cryptography.

• CV
• Publications
• Research summary

Selected recent papers:

[1] D. Osin, Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems, Memoirs AMS, 179 (2006), no. 843.
[2] D. Osin, Peripheral fillings of relatively hyperbolic groups, Invent. Math , 167 (2007), no. 2, 295-326.
[3] D. Osin, Small cancellations over relatively hyperbolic groups and embedding theorems, submitted.

Slides of the mini course "Lacunary hyperbolic groups" I taught during the 4th week of Groups 007 in Marseille are available here. The lectures are based on a joint paper with A.Yu. Olshanskii and M.V. Sapir.

Links:

• New York Group Theory Seminar
• New York Group Theory Cooperative