Non-commutative ring theory, Algebras satisfying polynomial identities

Combinatorics: Symmetric functions, Permutation statistics

Complexity Theory: In particular: Boolean circuit complexity, arithmetic circuit complexity, communication complexity, probabilistically checkable proofs, quantum computation and communication, randomness and derandomization.

The glass transition and slow relaxation phenomena

Mechanical properties of amorphus solids with theory of plasticity

Failure in Amorphuos Media: fracture, shear bands and necking.

Fractals and scaling in nonequilibrium physics.

Turbulence in classical and in quantum fluids

Strong field nonlinear optics.

Alignment and orientation of atoms and molecules in strong laser fields.

Molecular Dynamics with ultrashort shaped femtosecond pulses.

femtosecond laser material processing

Systems biology of genetics regulatory networks

Developing computational methods for using and identifying protein motifs and applying them for the analysis of particular protein families.

What gives masses to the particles? We believe that it is related to electroweak symmetry breaking which raises the hierarchy problem, the huge gap between the weak and Planck scales. The LHC experiments is addressing some of these questions and at the same time rising new ones. Recent cosmological-observation raised additional puzzles: What is the source of dark matter and energy? We explore experimental and theoretical methods to improve our knowledge regarding these issues. We also propose to use optical atomic clock spectroscopy to Search for Higgs-like mediated interactions in atoms at table top experiments.

Electron transfer mechanisms in proteins.

Antigen recognition and trans-membrane signaling by immuno-receptors.

Psychiatric disorders from pathologies in the amygdala-preftonal pathway (e.g. autism, anxiety-disorders, post-traumatic-stress-disorder (PTSD), epilepsy)

Computational approaches to coding mechanisms in the brain

Motivational and emotional modulation of memory

Extinction of memory

Generalization and specificity of learning

Neurobiology of learning and memory

Neuronal circuits and interactions between the amygdala and the prefrontal cortex

Quantum metrology and precision measurements

Ultra-cold ions and atoms

Quantum Computing

Ultra-cold collisions and interactions