Astronomy : the mystery of dark matter
Cosmology : the creation of the universe
Theoretical cosmology and particle physics : the cosmological constant problem
Gravity : the construction of a consistent quantum theory of gravity
Particle physics : the mechanism that makes fundamental mass
Particle physics and astrophysics : the solar neutrino problem
Astrophysics : the source of gamma-ray bursts
Theoretical high-energy physics : the unification of the basic forces
Solid state physics : the mechanism behind high-temperature superconductors
Biology : how the basic processes of life are carried out by DNA and proteins
Biology : protein folding
Paleontology : how present-day microbiological information can be used to reconstruct "the ancient tree of life"
The dynamics of the inner Earth
How microscopic atomic forces produce various macroscopic behaviors
The fabrication and manipulation of carbon-based structures (fullerenes)
Nuclear fusion and waste.