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

Optical nonlinearity in colloidal nanostructures

sub-diffraction limited imaging

Quantum dot enabled photovoltaics

ultrafast dynamics of semiconductor quantum dots and hybrid lead halide perovskite nanocrystals

Optics of biogenic crystals

Earth and environmental sciences education: research, development and implemntation from K-12.

The outdoor as a learning environment

Molecular biology of p53.

Deregulation of the Hippo pathway in cancer

Role of p53 in tumor-host interactions.

Gain of function of mutant p53 in cancer.

Crosstalk between p53 and the Hippo pathway in homeostasis and cancer

Role of microRNAs in cancer.

Gravitational lensing and microlensing

Astronomical algorithms and high contrast imaging.

Design and construction of W-FAST - Two telescopes system to explore the visible-light sky on sub-second time scales and search for Oort cloud objects.

Transients and supernovae; shock breakout observations and measuring the properties of supernova progenitors; Eruptions prior to supernova explosions and interaction between the supernova ejeecta and its circumstellar matter; Design of the ULTRASAT UV space telescope.

Search for isolated black holes in the Galaxy via astrometric microlensing.

Hilbert 16th problem

Ordinary differential equations

LHC physics

Particle cosmology (dark matter, leptogenesis, baryogenesis)

Higgs physics

Flavor physics

CP violation

Neutrino physics

Concrete Complexity

Distributed Computing

Cryptography and Complexity

Mathematical Statistics, Statistical Machine Learning, Statistical Signal and Image Processing, Applied Mathematics