Matthew's research involves studying the 3D structure of the hot, X-ray emitting ejecta in supernova remnants (SNRs) using high-resolution transmission grating spectroscopy from the Chandra X-ray Observatory.  Matthew also analyzes the far-infrared ejecta and dust emission from SNRs using data from the Infrared Space Observatory and the Herschel Space Observatory.  Matthew has recently begun studying SNRs at gamma-ray wavelengths using data from the Very Energetic Radiation Imaging Telescope Array System (VERITAS) to investigate their production of very high-energy cosmic rays.