My research program is to use combinatorial structures for mathematical modeling and algorithm design in the context of massive data and social network analyses.   

In this context, I study mixing times of Markov chains, I develop new statistical tools in non-i.i.d. regimes or the usages of the Markov chain Monte Carlo method, I design algorithms in various graph mining models, I use partially ordered sets or permutations when data has a hierarchical structure, and I introduce mathematical measures to analyze social issues in online networks.