Research interests include stochastic dynamical systems (stochastic differential and partial differential equations), mathematical biology and oncology (epithelial cancers, metastasis and epithelial-to-mesenchymal transition (EMT)), mathematical analysis of massive data sets, machine learning, metabolic networks, high-frequency data, on-line real-time model calibration and prediction.
Research interests include theory and applications of hybrid quantum-classical dynamics.
Research interests include generation of unitary operators, robust control, quantum-classical transition and graphics processing unit (GPU) computation.
Research interests include application of optimal control theory to relativistic quantum systems, how relativistic effects influences the system’s controllability and applying control theory to manipulate relativistic effects in atoms.
Research interests include selective optical control of biological functions, coherent optogenetics and creation of new materials utilizing ultrafast laser pulses.
Research interests include quantum optimal controls of closed and open quantum systems, atoms and molecules in intense laser fields, photo-association processes, electron transfer in nano-scale quantum devices, atomic and molecular scattering theory, inverse problems and computational methods for time-dependent quantum problems.
Research interests include robust quantum control and optimal control of quantum fluids.
Research interests include quantum transport in a single-molecule junction and quantum dots, molecular electronics, control of molecular machines and molecular devices, electron transfer, vibronic coupling in a molecular system, electronic structure of conjugated systems, and quantum dynamics.
Research interests include optimal coherent control of surface second harmonic generation, incoherent control of molecular systems by the environment, transport and conversion of energy in quantum systems, and electron and proton transfers.
Research interests include chemical kinetics with principal areas of focus including chemical kinetic mechanism reduction approaches, high dimensional model representation techniques with applications in complex reaction systems, atmospheric chemistry and other scientific disciplines.
Research interests include applying optimal control and ultra-short laser pulse shaping to material detection and characterization and studying the impact of random environmental noise on the feedback loop of learning algorithms.
Research interests include ultrafast lasers, automation, atomic, molecular and condensed matter physics and techniques to identify the mechanism induced by quantum control fields.
Research interests include effects of landscape geometry and critical point topology on optimization efficiency.
Research interests include experimental demonstration of control landscape theories using NMR spectroscopy.
Research interests include control of electron transport properties inside multiple quantum-dot system nanodevices (theory), and control over optical response of single quantum systems located in heterogeneous environment (experiment).
Research interests include ultrafast laser chemistry, adaptive control of molecular fragmentation, molecular spectroscopy and dynamics, chemical detection with mass spectrometry.