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In any quantum field theory, the energy flux at a point of spacetime can be negative.  This would produce a repulsive gravitational field causing nearby light rays to defocus.  This in turn threatens to produce a variety of exotic phenomena including traversable wormholes, warp drives, time machines, and evasion of singularity theorems.  I will describe a new "quantum focusing conjecture" that prevents such pathologies.  In the flat spacetime limit it reduces to a novel lower bound on the energy density, which can be proven for several classes of field theories.

Precision atom interferometry is poised to become a powerful tool for discovery in fundamental physics.  Towards this end, I will describe recent, record-breaking atom interferometry experiments performed in a 10-meter drop tower that demonstrate long-lived quantum superposition states with macroscopic spatial separations.  The potential of this type of sensor is only beginning to be realized, and the ongoing march toward higher sensitivity can enable a diverse science impact, including laboratory tests of general relativity and the equivalence principle, searches for dark matter, probes of quantum mechanics, and detection of gravitational waves.  With the recent LIGO results, gravitational wave astronomy is particularly compelling since it provides a new window into the universe, collecting information about astrophysical systems and cosmology that is difficult or impossible to acquire by other methods.  Atom interferometric gravitational wave detection offers a number of advantages over traditional approaches, including simplified detector geometries, access to low frequencies that are complementary to LIGO, and substantially reduced antenna baselines.

Radio pulsars are Nature's most perfect clock and hence are useful for precision work on a wide variety of physical and astrophysical topics, ranging from sensitive tests of relativistic gravity to constraining the equation of state of ultradense matter. I will describe current ongoing surveys for radio pulsars using the two largest radio telescopes in the world, and how these surveys are also valuable for searching for Fast Radio Bursts, a newly recognized astrophysical phenomenon of unknown origin.