Sandia researchers Drew Kouri (1441) and Denis Ridzal (1441) organized a five-day workshop on "Frontiers in PDE-constrained Optimization" at the Institute for Mathematics and Its Applications (IMA), in collaboration with Harbir Antil (George Mason University) and Martin Lacasse (ExxonMobil). The workshop brought together practitioners of PDE-constrained optimization from different disciplines, and provided a broad and uniform introduction of the topic to young researchers and students, including lectures taught by the organizers. The program included two days of advanced tutorials, followed by three days of invited talks, formal discussions and a poster session. Nearly sixty researchers from seven countries attended the workshop.