Keep up with latest results: SOCG, STOC, SODA

Interesting papers in SOCG 2007
Offline Variants of Lion and Man Problem
Guard Placements for Wireless Localization
Fully Dynamic Geometric Spanners

Interesting papers in STOC 2007
Approximating minimum bounded degree spanning trees to within one of optimal

Look at parametric complexity

Clustering papers: Innaba, Meggido and Supowitz

Read Prajakta's Writeup