See the GW NEW HORIZONS workshop for some details.
Trace anomaly:
Magnetars:
Fig.: Toroidal magnetic field on the equatorial plane at 3 and 10 ms.
Fig.: Magnetic Energies & GW
Instability-driven evolution of poloidal magnetic fields
in relativistic stars.
Astrophysical Journal Letters ApJ, 736, L6
(http://iopscience.iop.org/2041-8205/736/1/L6/)
(http://adsabs.harvard.edu/abs/2011ApJ...736L...6C)
In collaboration with: Riccardo Ciolfi, Samuel K. Lander, Luciano Rezzolla
See Ciolfi’s follow up for more details:
http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:1206.6604
ApJ in press.
Organizing a
Workshop on Effective Field Theory
J.P.L./CALTECH/C.M.U./YALE
Data analysis:
Monte Carlo, Quasi-Random numbers, search algorithms, Delaunay Triangulations, covering problem for Riemannian hypersurfaces, boundary effects.
Fig.:Typical geometrical objects needed to understand the covering problem.
Fig.: Boundary effects and how to eliminate them.
Fig.: Building self-similar Delaunay triangulations to reconstruct surfaces.
Fig.: Quasi Random Numbers
See 2010PhRvD..81b4004M, (More to come)
In collaboration with Michele Vallisneri as a member of the Relativistic Astrophysics group at JPL.
Gravitational waves sources:
bar-mode and other instabilities
Fig.: Dynamical barmode Instability diagram to date.
Fig.: Non-linear evolution of competing azimuthal deformations.
See 2007CQGra..24..171M
(In the Highlights 2007/2008 of Classical and Quantum Gravity)
and 2007PhRvD..75d4023B (and references therein).
PhD work in collaboration with Roberto De Pietri (supervisor), Luca Baiotti, Luciano Rezzolla.
QCD, Monte Carlo, CP^N models, 1/N expansion, etc
Fig.: Theta Worlds: diagrams contributing at (theta/N)^6 order to the Free Energy of CP^(N-1) models.
Fig.: Exponential critical slowing down of topological modes.
See 2006JHEP...06..005D, 2004PhLB..594..315D and 2006hep.th...10100D
Master’s work in collaboration with Ettore Vicari (supervisor), Luigi Del Debbio et al