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The topological insulators have a gap in the bulk but extended states at theedge that can carry current. We study a geometry in which such edge states willmanifest themselves through periodic oscillations in the magnetoconductance ofa singly connected sample coupled to leads through narrow point contacts. Theoscillations occur due to quantum interference of helical edge states ofelectrons traveling along the circumference of the sample, and have a period ofB_0=h/eA_{eff}, where A_{eff} is the effective area enclosed by the edge statesof the sample. Our calculation indicates the possibility of a large change inthe magnetoresistance at small B, termed giant edge magnetoresistance, whichcan have potential for application. The zero field conductance also exhibitsoscillations as a function of the Fermi energy due to interference between edgestates. The amplitude of the oscillations is governed by, and therefore can beused to investigate, the transverse width of the edge channels.

Coherent Oscillations and Giant Edge Magnetoresistance in Singly Connected Topological Insulators