String theory, the high energy frontier of elementary particle physics, grand unifications into a single framework, mathematical beauty and supersymmetries, and uncovering the quantum structures of space and time.
Big Bang cosmology, inflationary growth of the universe, seeds for the formation of galaxies and large-scale structure, dark energy and dark matter, and also “quasicrystals” - a new phase of solid matter with impossible symmetries.
Many aspects of geometry, black holes, novel views on the evolution of the universe (was there something before the Big Bang?), the interplay and unification of general relativity and quantum physics, and science of consciousness.
Fundamental interactions between elementary particles, using deep ideas involving mathematical symmetry for restoring unity to the fundamental laws of nature (strong and weak nuclear forces, electromagnetism and gravity).
Condensed matter systems at ultra low-temperature that show purely quantum phenomena – even on big scales (superfluidity, superconductivity, Bose-Einstein condensates); measurements in the quantum world; probing the foundations of quantum theory.
Cosmology, in particular applying the physics of elementary particles to the extremely hot and violent conditions of the early universe, and exploring deep questions about the big bang, the fate of our universe, and the hope for intelligent life (here or elsewhere)
The nature of time, probability and quantum mechanics, philosophy of physics and metaphysics, especially issues involving the role of mathematical tools like symmetry in physics, and applying this formal apparatus to the philosophy of mind.
Quantum gravity, quantum processes in the early universe, evaporation of black holes, limits on the measurements made by real detectors (coupled to the environment), and with regards to mathematical problems, studying techniques rather than finding solutions.
Philosophy of physics, puzzles about the content and status of foundational principles – the logic of physicists’ basic assumptions, especially with regards to space and time, and the history of science, e.g. exactly how Einstein made his discoveries.
Removing the mystery from quantum mechanics, the Bohmian perspective – a way of describing the motion of quantum particles, and applying this to spacetime singularities (where gravity becomes infinite) like those inside a black hole.