My main interests as of now are in problems at the intersection of discrete probability, networks and statistical physics. My main aim is to learn and use the powerful tools of probability to tell me useful things about the real world.
More precisely my interests include
- random networks, dynamics on random networks, spatially optimal networks, probabilistic combinatorial optimization, reconstruction of real world networks, percolation, critical phenomenon and phase transitions.
- understanding the relation between phase transitions in statistical physics and its effect on the performance of randomized algorithms.
- interface between the above fields of study and the applied branches of science including computer science, biology, statistics and physics.