Inorganic nanotubes and inorganic fullerene‐like materials: new materials with cage structure. From basic science to applications.

Structure - mechanical function relations in mineralized tissues (bones and teeth) using Optical Metrology.

Archaeological science: revealing the microscopic archaeological record

Biomineralization: mechanisms of mineral formation and growth in biology.

Signaling mechanisms of axonal guidance cues

Mechanisms of axonal degeneration

Attosecond Physics

Strong field light matter interactions

Cellular Biophysics

Manipulation of atoms and molecules by laser fields, laser cooling, atom lithography.

Laser control of molecular orientation.

Atomic and molecular wave packets, ultra-fast optical phenomena.

Semiconductor-sensitized nanoporous solar cells and semiconductor film deposition

Physics of electron's spin

Quantum phase transitions: General transport studies and mesoscopics of the metal-insulator, superconductor-insulator and other transitions.

Scanning tunneling experiments at ultra-low temperatures

Fractional and integer quantum Hall effect and related phenomena.

Experiments on materials at ultra low-temperatures.

Probabilistically Checkable Proofs

Hardness of Approximation

Coping with NP-hard combinatorial optimization problems, algorithms, computational complexity, random walks, algorithmic game theory.