The Interactions between evoked and on-going activity and their potential functional role in cortical processing.

The space-time dynamics of cortical activity as revealed by population activity (EEG, LFP and real-time optical imaging) coupled with single-unit and intracellular recordings.

Cortical correlates of attention in behaving monkeys.

The functional architecture underlying visual perception.

The dynamics of cortical representations in the visual cortex.

Developing slow release herbicide formulations

Designing tandem constructs to mitigate gene flow from transgenic crops to weeds

Research of collective quantum effects in Super-fluid, solid and super-solid Helium. Including magnetic phase transitions in solid and liquid helium.

The physics of large scale pattern formation of cells in cellular cultures, in morphogenesis and wound-healing.

Theoretical problems in biological physics; active processes in cells involving molecular motors.

Theoretical studies and modelling of the physics that determines the shapes and dynamics of cells.

Invariant distributions

Representation theory of reductive groups over local fields

Fourier coefficients of small automorphic representations

Representation theory and Lie superalgebras

Probabilistic proofs, cryptography, computational number theory, complexity theory.

Randomness and Computation

Foundations of Cryptography

Complexity theory

Intracellular and Intercellular mRNA trafficking

Rational conformal field theory and solvable lattice models.

Complex and p-adic Automorphic forms and L-functions.