Soft Condensed Matter Physics: Non-equilibrium phenomena, disordered systems and glassy behavior, memory formation in matter, elastic manifolds in random media, dynamic criticality. Complex Systems: Random networks, statistical inference on random networks, applications of statistical mechanics to combinatorial problems in biology. Mathematical Physics: Probability theory, combinatorics, dynamical systems. Current Research Topics: Exactly solvable models of elastic manifolds in ordered and disordered media Mathematical approaches to hysteresis, plasticity and memory formation, depinning transitions, dynamic criticality, avalanche dynamics, coagulation.