We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg calculus:â€¦ (More)

We describe the process of installing a monitoring system in the homes of 19 families who were caring for a relative with dementia, and evaluating the use of the system for 24 weeks. The system isâ€¦ (More)

While it is anticipated that future human missions to Mars will increase the amount of biological and organic contamination that might be distributed on that planet, robotic missions continue to growâ€¦ (More)

Let K be the Lie superalgebra of contact vector fields on the supersymmetric line R. We compute the action of K on the modules of differential and pseudodifferential operators between spaces ofâ€¦ (More)

The O/OREOS (Organism/Organic Exposure to Orbital Stresses) nanosatellite is the first science demonstration spacecraft and flight mission of the NASA Astrobiology SmallPayloads Program (ASP).â€¦ (More)

We describe the two-sided ideals in the universal enveloping algebras of the Lie algebras of vector fields on the line and the circle which annihilate the tensor density modules. Both of these Lieâ€¦ (More)

We use methods from representation theory and invariant theory to compute differential operators invariant under the action of the Jacobi group over a complex quadratic field. This allows us toâ€¦ (More)

Fix a manifold M , and let V be an infinite dimensional simple Lie subalgebra of the Lie algebra Vec M of vector fields on M . Assume that V contains a finite dimensional simple maximal subalgebraâ€¦ (More)

Introduction. Let Vec R be the Lie algebra of smooth vector fields on R. In this talk we will survey some results concerning the action of Vec R on modules of differential operators. To begin with,â€¦ (More)

The Advanced LIGO Photon Calibrators S. Karki, 2, a) D. Tuyenbayev, 3 S. Kandhasamy, 5 B. P. Abbott, T. D. Abbott, E. H. Anders, J. Berliner, J. Betzwieser, H. P. Daveloza, C. Cahillane, L. Canete,â€¦ (More)