My research spans topics in three interdisciplinary areas of Engineering, Applied Mathematics, and Statistics.
Engineering: Rare Event Simulation, Estimation of Small Failure
Probabilities, Structural Reliability, Risk Analysis, Reliability
and Resilience of Critical Infrastructure Networks, Cascading Failures.
Network Science: Complex Network Models, Hyperbolic Geometry
of Network Data, Network Dynamics, Exponential Random Graphs, Simplicial
Complexes, Multilayer Networks, Infrastructure Networks.
Statistics: Markov Chain Monte Carlo, Subset Simulation,
Importance Sampling, Simulated Annealing, Bootstrap, Permutation Tests,
Stochastic Geometry and Optimization, Bayesian Inference.