**Sreekrishna Palaparthi**

TIFR

October 26, 2009

**Lengths of closed geodesics in a hyperbolic link complements in S**^{3}:
Colin Adams and Alan Reid showed that the length of the shortest closed geodesic in a hyperbolic knot or link complement in S^{3} is bounded above by 7.171646... We will show that the length of an n^{th} shortest closed geodesic in a hyperbolic knot or link complement in S^{3} is at-most a logarithmic function of n.